GRINDINGGrinding machines
Grinding removes material from the workpiece a little at a time, with each of the very hard, fine abrasive grains on a fast-spinning wheel. It can finish hardened parts to µm-level accuracy. This page covers the types of grinding machines, how to choose a wheel and read its marking, dressing, and grinding conditions with remedies for burn and chatter, checked against public materials from wheel and machine makers and reports from universities and public research institutes.With the simulator below, you can run surface grinding conditions, spark-out in cylindrical grinding, and the rounding action of centerless grinding.
Finish with
a spark-out
and cut it through!

▦Types of grinding machines
Surface grinderSurface grinding machine
Horizontal spindle, reciprocating tableThe periphery of a straight wheel grinds a workpiece on a table that reciprocates left and right, and the saddle's cross feed covers the whole surface. The training machine at Niigata University (magnetic chuck, hydraulic table) is of this type[9][10]
Horizontal spindle, rotary tableThe periphery of a straight wheel grinds a workpiece on a rotating table[9]
Vertical spindle, reciprocating table / vertical spindle, rotary table (rotary)Grinds with the face of a cup, ring or segment wheel. The rotary-table type is sold as a rotary surface grinder[9][11]
Double-disc surface grinderTwo disc wheels facing each other grind both sides of the workpiece at the same time (through-feed and carrier types)[9]
Bridge-type (gantry) surface grinderA gantry-type structure for large workpieces[11]
Profile grinderA compact machine that dresses the wheel to a profile and grinds flat surfaces and shapes (grooves, steps, radii, etc.)[11]
Best forWork that needs uniform thickness and parallelism on flat surfaces. The training exercise at Niigata University is to finish to a specified thickness of ±0.005 mm and achieve parallelism. Steel workpieces are held by attracting them to a magnetic chuck. There is also a public research institute example of mirror-grinding cemented carbide to Ra 2.1 nm with a superabrasive wheel[10][12][13]
Cylindrical grinderCylindrical grinding machine
Traverse grindingWith the wheel infed a set amount in the radial direction, the workpiece is reciprocated along its axis to grind it. Suited to shafts and rolls longer than the wheel width; accuracy is easy to keep stable, but it tends to take time[14][9]
Plunge grindingThe wheel is pushed in radially on the workpiece and grinds the whole wheel-width area at once. Suited to stepped shapes and mass production, with short cycle times. On long workpieces, deflection and waviness tend to appear[14][9]
Angular grinding (angle-slide plunge)The wheelhead is tilted and infed at an angle to grind the OD and the shoulder face (and tapers too) in one clamping. It is easy to hold the positional relationship and angle accuracy between the OD and the face[14][9][11]
Best forThe OD of rotating parts such as shafts and rolls (traverse for long ones, plunge for stepped parts and mass production, angular for grinding the OD and face in succession). The workpiece is supported between centers and driven by a dog, or held in a chuck[14][8]
Internal grinderInternal grinding machine
Standard typeThe workpiece rotates, and a wheel smaller than the bore rotates inside the hole to grind it[9]
Planetary type (revolving wheel spindle)The wheel spindle revolves inside the bore while grinding[9]
Centerless type / shoe typeInternal grinding also has centerless and shoe-type methods[9]
Best forBore diameters. Some models have two or four wheel spindles, and some are for long workpieces.[11][9]
Centerless grinderCenterless grinding machine
Through-feedThe axis of the regulating wheel is tilted slightly, which gives the workpiece rotation and axial feed at the same time, so it is ground continuously as it passes over the work rest blade. The faster the regulating wheel turns and the larger the tilt angle, the faster the feed. No loading and unloading is needed, so it is highly efficient for continuous work. In through-feed, the regulating wheel is often tilted about 3°[15][9][16]
In-feed (plunge, stop grinding)The grinding wheel is infed toward the workpiece while the positions of workpiece, blade and regulating wheel are kept. Stepped and radiused shapes can also be ground[15][9]
End-feed and tangential feedOther methods. Choose by shape, accuracy and productivity[15][9]
Best forWork that grinds the outside of cylindrical parts such as pins, rollers and shafts in large quantities and with high accuracy, without center holes. The workpiece is supported at three points: the grinding wheel, the blade (support blade) and the regulating wheel, so roundness comes out with little stock, and the blade makes long workpieces resistant to deflection[15][17]
Tool and cutter grinderTool and cutter grinding machine
Best forSharpening and regrinding of cutting tools such as tools (lathe bits), drills, milling cutters, hobs, broaches, pinion cutters and end mills[9]
Gear grinder and thread grinderGear grinding / thread grinding machine
Best forTooth flanks of gears after hardening, and threads such as ball screws. Gear grinders and thread grinders are in the product lines of grinding machine makers, and thread grinders are essential for grinding precision ball screws[11][18][9]
Jig grinderJig grinding machine
Best forFinishing of holes and contours that need accuracy of 1/1000 mm or better, such as precision progressive dies and optical parts. It has a chopping stroke, in which the wheel reciprocates up and down (95–135 mm in Mitsui Seiki's comparison table)[18]
Multi-function grinder and center-hole grinderMulti-process grinder / center hole grinder
Best forHas multiple wheel spindles and grinds OD, ID, etc. in succession on one machine (shorter setup, better accuracy, smaller footprint). A center-hole grinder finishes the center holes that serve as the datum for cylindrical grinding[11]
▶Grinding simulator
In surface grinding, changing the wheel, table speed, depth of cut and stock allowance instantly changes the number of passes and time, the specific material removal rate Q′, the equivalent chip thickness heq, the speed ratio, the contact length and the tendency to burn. In cylindrical grinding, you can see how the actual size lags behind the command because of workpiece stiffness and wheel sharpness, and how spark-out catches up; in centerless grinding, how the workpiece gets rounder the longer it turns.
◎What is grinding?
- What is grinding?A machining process that uses a high-speed rotating grinding wheel as the tool and removes material from the workpiece a little at a time with each of the very hard, fine abrasive grains in the wheel. In the classification of machining, it belongs to abrasive machining, separate from cutting with edged tools, and within that to fixed-abrasive machining, in which the grains are bonded into a wheel; honing, superfinishing and belt grinding are its relatives. It is distinguished from processes that use loose grains, such as lapping and buffing (loose-abrasive machining)1 source · for reference[1][2]
- Difference from cutting 1: many small cutting edgesEach cutting edge (abrasive grain) is small, and the amount it removes at a time (the chip) is tiny. So it is easier to get surface roughness and dimensional accuracy than with cutting. A wheel is made of three things: abrasive grains, bond and pores, and the pores give the chips somewhere to go[1][3]
- Difference from cutting 2: high wheel speedWheel speed is about 10–80 m/s, several times to several tens of times that of cutting tools. Even though each chip is small, productivity is high1 source · for reference[1]The upper limit of wheel speed is set by each wheel's maximum operating speed
- Difference from cutting 3: hard and brittle materials can be groundThe abrasive grains are very hard mineral particles, so materials that are hard to cut with edged tools, such as hardened steel, cemented carbide and ceramics, can be ground. With diamond or CBN grains, cemented carbide, ceramics and glass can also be ground[1][3][4]
- Difference from cutting 4: self-sharpening (the edges renew themselves)As the grain tips dull in use, grinding force rises, and the grains fracture or fall out, exposing new edges and pores. When it works well, the wheel keeps cutting without being resharpened like a cutting tool (what Noritake calls the "normal" state)[1][5]
- Difference from cutting 6: the hazard of a high-speed rotating bodyThe wheel spins at high speed, so if it ever breaks it can cause a serious accident.1 source · for reference[1]
- Where grinding is usedWhen you want to finish hard materials such as hardened steel or cemented carbide with high quality and accuracy. Even for mass-produced parts like engine components, it is often placed as the final machining step. Typical parts are those where size, roundness and surface roughness matter at the µm level, such as bearing raceways, hydraulic parts and shafts[7][1][8]
◉The five factors of a grinding wheel and how to read the marking
- Broadly speaking, the A types (A, WA, PA, SA, CX) and CBN are used for ferrous metals, and the C types (C, GC) and diamond for non-ferrous metals (cemented carbide, etc.) and non-metals[3][4]The reasoning that diamond reacts readily with iron and so is not used on ferrous metals is not stated in the sources used this time
Abrasive types
| Symbol | Abrasive | Main uses | Knoop hardness |
|---|---|---|---|
| A | Brown alumina (A type) | Raw and heat-treated (quenched and tempered) carbon and alloy steel. Free grinding of general steel, precision grinding of raw material[3][4][19] | 2050 |
| WA | White alumina (A type) | Precision grinding and light grinding of hardened steel (HRc50 or higher)[3][4][19] | 2070 |
| PA | Pink alumina (A type, Noritake's symbol) | General grinding of tool steel, alloy steel (HRc50 or higher) and cast iron[3] | 2060 |
| SA | Monocrystalline alumina (A type) | High-efficiency grinding of hardened steel and cast iron[3] | 2060 |
| CX | CX (Noritake's A-type abrasive for high-precision, high-efficiency grinding) | High-efficiency, long-life grinding of carbon steel, tool steel, alloy steel, cast iron and stainless steel[3] | 2190 |
| C | Black silicon carbide (C type) | Non-ferrous metals, non-metals, cast iron[4][3][19] | 2500 |
| GC | Green silicon carbide (C type) | Cemented carbide[4][3][19] | 2500 |
| CBN (B) | Cubic boron nitride (superabrasive) | Ferrous metals (hardened steel, etc.). Next to diamond in hardness and thermal conductivity[3][4] | 4700 |
| SD (diamond) | Synthetic diamond (superabrasive) | Non-ferrous metals and non-metals such as cemented carbide, cermet, ceramics, glass, ferrite and stone. The hardest material on earth, with high thermal conductivity too[3][4] | 7000–8000 (Noritake) / about 7000 (Kure Grinding Wheel) |
- Grain sizeGrain size is the size of the abrasive grains. The smaller the number, the coarser; the larger, the finer. In Noritake's marking, up to No. 220 is written F and from No. 240 with #, and JIS has classes from No. 8 to 3000. Coarse grains up to about F36 are mainly used for free grinding such as deburring and cutting off; grains finer than F46 are mainly used for machine grinding that needs dimensional accuracy and surface roughness. The relation between grain size and surface roughness is not fixed[3][19]The range of F and the F36/F46 distinction are from Noritake only.
- StructureStructure is a number for the share of the wheel's total volume taken up by abrasive grains (grain percentage). The smaller the number, the more grains and fewer pores, which is "dense"; the larger, the more "open". In Noritake's table, structure 0 is 62 % grain and structure 14 is 34 % (2 % per number)[3][19]Kure Grinding Wheel's marking runs from 1 (dense) to 14 (open)
Bond
- V VitrifiedCeramic raw materials such as clay and feldspar are fired to bond the grains (Noritake 900–1300 °C, Kure Grinding Wheel around 1200 °C). Strong holding force, holds its shape well, and stable quality. The mainstay of precision grinding, widely used for surface, internal, cylindrical, centerless and tool grinding. Also available for superabrasives (CBN, diamond)[3][20]
Reading a marking
- Example "No. 1, 305×25×76.2 WA 60 K 7 V 33m/s" (Noritake) = type 1 straight wheel, OD 305 × thickness 25 × bore 76.2 mm, white alumina, grain size 60, grade K, structure 7, vitrified, maximum operating speed 33 m/s. Kure Grinding Wheel's example "305×32×127 32A 60 K 8 V 1 A" runs in the order dimensions, abrasive, grain size, grade, structure, bond, shape, edge shape[3][19]The letters and numbers after the bond symbol are each maker's own.
- Abrasive
- Brown alumina (A type) — Raw and heat-treated (quenched and tempered) carbon and alloy steel. Free grinding of general steel, precision grinding of raw materialKnoop hardness 2050White alumina (A type) — Precision grinding and light grinding of hardened steel (HRc50 or higher)Knoop hardness 2070Pink alumina (A type, Noritake's symbol) — General grinding of tool steel, alloy steel (HRc50 or higher) and cast ironKnoop hardness 2060Monocrystalline alumina (A type) — High-efficiency grinding of hardened steel and cast ironKnoop hardness 2060CX (Noritake's A-type abrasive for high-precision, high-efficiency grinding) — High-efficiency, long-life grinding of carbon steel, tool steel, alloy steel, cast iron and stainless steelKnoop hardness 2190Black silicon carbide (C type) — Non-ferrous metals, non-metals, cast ironKnoop hardness 2500Green silicon carbide (C type) — Cemented carbideKnoop hardness 2500Cubic boron nitride (superabrasive) — Ferrous metals (hardened steel, etc.). Next to diamond in hardness and thermal conductivityKnoop hardness 4700Synthetic diamond (superabrasive) — Non-ferrous metals and non-metals such as cemented carbide, cermet, ceramics, glass, ferrite and stone. The hardest material on earth, with high thermal conductivity tooKnoop hardness 7000–8000 (Noritake) / about 7000 (Kure Grinding Wheel)
- Grain size
- Coarse grains. Common for free grinding such as deburring and cutting offFine grains. Common for machine grinding that needs dimensional accuracy and surface roughness (the relation between grain size and surface roughness is not fixed)
- Grade
- Soft (A)Hard (Z)The strength of the force holding the grains. The more bond, the harder
- Structure
- The smaller the number, the more grains and the "denser"; the larger, the more "open" (grain percentage is from Noritake's table)
- Bond
- Vitrified — Ceramic raw materials such as clay and feldspar are fired to bond the grains (Noritake 900–1300 °C, Kure Grinding Wheel around 1200 °C). Strong holding force, holds its shape well, and stable quality. The mainstay of precision grinding, widely used for surface, internal, cylindrical, centerless and tool grinding. Also available for superabrasives (CBN, diamond)Resinoid (resin) — Phenolic and other resins cured at around 200 °C. More elastic than vitrified and absorbs shock, and strong, so used for high-speed free grinding, cutting off, rough grinding, and centerless and roll grindingRubber — Very elastic. Used for the regulating wheel in centerless grindingMetal — Mainly made of metal powders such as bronze. High holding force and shape retention, and long life. For superabrasives, used on hard, brittle materials such as glass and ceramicsElectroplated — Fixes a single layer of grains to a metal core by plating with nickel or similar. The grains protrude a lot and cut well. Form wheels can also be made
Effective hardness and how to choose
- Even the same wheel can act "hard" or "soft" depending on conditions. The larger the depth of cut g of a single grain, the more load the grain takes and the more easily it comes off (acts soft); the smaller, the more easily it wears down (acts hard). Ways to make a wheel act softer: lower wheel speed, higher work speed, larger depth of cut, smaller wheel diameter, smaller workpiece diameter (reversed for internal grinding). If the ratio v/V of work speed to wheel speed is the same, the effective hardness does not change1 source · for reference[5]
- The longer the contact length, the harder the wheel acts, so choose a softer wheel for horizontal-spindle surface grinding than for cylindrical grinding, and a still softer one for vertical-spindle surface grinding1 source · for reference[5]
- Noritake publishes selection tables of standard abrasive, grain size and grade by material (raw or hardened carbon and alloy steel, tool steel, stainless steel, cast iron, cemented carbide, etc.) and by grinding method (cylindrical, surface, horizontal spindle, segment, creep-feed) (catalog vol. 3 p. 76, and the web selection table)1 source · for reference[3]
✦Truing and dressing
- Truing is removing the runout of the wheel's periphery once it is mounted on the machine so that it is concentric with the center of rotation, correcting a worn-out shape, and forming it to a shape suited to the job. Dressing is cutting away the working surface that has glazed or loaded so that the bond recedes, setting the grain protrusion and cutting edges, and removing material welded to the surface. With conventional wheels one operation often does both, but superabrasive wheels wear little, so the two are evaluated separately[3][24][25]
Normal state
When the edges dull, the grains fracture moderately and new edges appear. Good surface finish and little wheel wear[5]
Shedding
The grade is too soft for the conditions, and the grains fall out almost whole. It cuts well, but wheel wear is high, the surface turns rough, the form breaks down, and grains that came out also cause scratches[5][23]
- Reading the chipsThe chips also tell you the condition of the wheel. When cutting well on steel they are ribbon-like (flow type); when cutting well on brittle material such as cast iron they are powdery (shear type); and when cutting poorly on steel they are powdery (tearing type). With loading or glazing, the chips melt from the heat and become spherical (melted type)1 source · for reference[5]
- DresserFor dressing conventional wheels, use dressers with a single diamond (single-point) or several (multi-point) set in them, or sintered or electroplated ones. Dressers using prism-shaped synthetic diamond keep the worn area at the tip constant, so accuracy stays stable. For vitrified CBN wheels, a rotary dresser (a rotating diamond roll) is used, and rotation direction and speed ratio are also conditions[3][21][16]
- How dressing conditions workDressing sets sharpness and surface roughness. A faster lead (dresser feed per wheel revolution) and a larger depth of cut make large cutting edges on the grains, which raises sharpness and makes burn less likely, but the surface gets rougher. A slower lead and a smaller depth make the surface finer but bring it closer to glazing. With a rotary dresser, down-cut rather than up-cut, and a speed ratio closer to 1, are on the sharp side[21][3][6]
≈Grinding conditions, burn and chatter
- Depth of cut aeThe depth removed per pass (one stroke, one revolution). In the surface grinding training at Niigata University, automatic infeed is 0.015 mm for rough grinding and 0.005 mm for finishing. The larger the depth of cut, the lower the grinding ratio and the easier it is to burn[10][28][6]
- Traverse feed (cylindrical) and cross feed (surface)In cylindrical traverse grinding the workpiece is reciprocated axially; in surface grinding the saddle is fed back and forth (intermittent or continuous feed) to cover the whole surface. In surface grinding, there are examples that take an overrun of 30–50 mm on each side of the table from the workpiece1 source · for reference[14][10]
- Spark-out (zero grinding)Continuing to grind at the end with no infeed until sparks stop. It gradually removes the stock left because of elastic deformation of machine and workpiece, so surface roughness and dimensional accuracy improve. In cylindrical grinding it can be expressed as a first-order lag, in which the actual depth of cut falls behind the command because of workpiece deflection[10][7]
- Specific material removal rate (grinding productivity) Q′ and Z′The volume removed per 1 mm of wheel width per second (mm³/(mm·s)). It expresses grinding productivity. Examples from public sources: 1–20 mm³/(mm·s) with CBN (JTEKT), and about 4–13 mm³/(mm·s) with sol-gel alumina wheels (Oak Ridge National Laboratory)[25][29][7][30]
- Equivalent chip thickness heqQ′ divided by the wheel speed, a length (ae × Vw ÷ Vs). An index for comparing how severe the grinding is1 source · for reference[29]
Grinding burn and grinding cracks
- Grinding burnGrinding burn is when grinding heat makes the surface very hot, forming an oxide layer and discoloration. When mild it is straw-colored, and as temperature rises it turns pale yellow, brown, reddish brown, purple and blue. On hardened steel, changes in the metal structure such as a rehardened layer and a tempered layer also occur. Even when invisible, a damaged layer and tensile residual stress can remain, and these are checked by etching with nital or similar[6][30][22]
- Grinding cracksGrinding cracks are fine cracks caused by thermal stress from grinding heat and by volume changes from structural changes. They are more likely in steels with high carbon content, and insufficient tempering is also a cause. They are checked by dye penetrant testing (color check) and magnetic particle testing1 source · for reference[6]
Main causes of burn and cracks
- Grinding large workpieces or end faces has a large contact area and the grinding fluid hardly reaches, so it burns easily. The same goes for side-contact grinding and angled infeed grinding, where each grain's depth of cut is small and wears down easily1 source · for reference[21]
- Order of countermeasuresThe order of countermeasures recommended by JTEKT: ① check the coolant nozzle → ② check truing (dressing) → ③ change the grinding conditions → ④ change the type of grinding fluid → ⑤ change the wheel spec1 source · for reference[6]
Chatter, dimensional variation and roundness
- ChatterChatter is vibration between the wheel and the workpiece that leaves streaks or waviness at regular intervals on the surface. There is forced chatter that comes from outside (vibration through the floor, vibration from the motor, pump or feed, wheel mounting runout and imbalance) and self-excited chatter that grows within the system (regenerative chatter, in which the waviness from the previous revolution is regenerated and grows on the next; it originates from unevenness on the periphery caused by wheel wear or loading)[33][30][22]
- Dimensional variationMain causes of dimensions varying or drifting: backlash in the feed system, thermal displacement of the machine, wheel wear, wrong offset values, and thermal expansion of the workpiece (it swells during machining and shrinks when stopped). In a cylindrical plunge grinding experiment at Nihon University, wheel thermal expansion was 5.7 µm and workpiece thermal expansion 25.2 µm, and it ground 28.3 µm more than commanded (this could be explained by adding the wheel wear of 3.4 µm)[14][34]
- RoundnessPoor roundness in cylindrical grinding comes from poor mounting of the wheel, workpiece or truing tool, deterioration of the supports, bad center holes, tailstock pressure, tightening of the dog or chuck, steady-rest pressure, too much grinding fluid flow (water pressure deflects the workpiece), and insufficient spark-out1 source · for reference[8][14]
💧Grinding fluid and workholding
- Grinding oil (grinding fluid) has three functions, lubrication, cleaning and cooling, and affects accuracy, productivity and wheel life1 source · for reference[3]
- Water-soluble fluid is made by pouring the concentrate into the dilution water (the other way around can gel and be hard to dissolve). Combine concentration control of the make-up fluid with measuring concentration using a refractometer1 source · for reference[3]
- Only about one tenth of the grinding fluid used is said to reach the grinding point. To overcome the air layer and mist around the fast-spinning wheel, aim the nozzle correctly at the point where wheel and workpiece meet, and match flow and pressure[32][6]"About one tenth" is from UNITED GRINDING only
- The working surface of a magnetic chuck has brass and resin separators, so choose a grinding oil that does not corrode them1 source · for reference[12]
Workholding
- Magnetic chuck (surface grinding)Place the workpiece so that it spans the N and S poles across a separator. A workpiece with a thickness of about 2–4 times the pole pitch holds best, and the side of the holding face should be at least 3 times the pitch. Holding force varies greatly with material, thickness, area, and surface roughness, and thin pieces hold weakly1 source · for reference[12]
- How to place the workpieceWipe the chuck face and the workpiece with a rag and deburr, then place the workpiece near the center of the chuck with its long side parallel to the table motion. Place a distorted workpiece with its concave side down, and check that it holds1 source · for reference[10]
- Centers and lathe dog (cylindrical grinding)Support the center holes at both ends of the workpiece on the headstock and tailstock centers and drive it with a lathe dog (kere). Center hole accuracy and debris, tailstock pressure, and a faulty dog all affect roundness. When holding in a chuck, watch the clamping force and position; for slender workpieces, watch the steady rest contact setting and balance1 source · for reference[8][14]
⚙Surface grinding setup
- Wipe the chuck face, then deburr and wipe the workpiece
- Place the workpiece at the center of the chuck with its long side parallel to the table motion, and hold it; check that it holds (if distorted, concave side down)
- Start the hydraulic pump and the wheel spindle, and bring the workpiece under the wheel by hand feed
- Set the stroke with the table dogs (left and right overrun 30–50 mm from the workpiece)
- Move the table left and right (about 10–12 m/min) and lower the wheel gently until it touches the workpiece surface
- Turn on the grinding fluid and rough-grind the whole surface with auto in-feed (roughing 0.015 mm) and automatic cross feed
- Finish to the specified size with a 0.005 mm depth of cut, and spark out at the end
- Stop the table, switch off the chuck magnetism (demagnetize), and remove the workpiece after confirming that the wheel has stopped rotating. Measure thickness (6 places) and parallelism
Based on the training procedure at Niigata University[10]
!Common mistakes
- Grinding with the side of a wheel not intended for side grinding, or exceeding the maximum operating speed → violation of regulations and risk of bursting
For the causes and countermeasures of malfunctions (19 items) and for safety and regulations, go to Grinder maintenance and safety.
↗Learning path
- Safety and handling grinding wheelsGuard, test run (at least 1 minute at start of work, at least 3 minutes after a wheel change), maximum operating speed, no side grinding, ring test. Wheel replacement only after special training
- Read the wheel markingBreak a marking such as WA 60 K 7 V into abrasive grain, grain size, grade (hardness), structure, and bond
- Make a parallel plate on a surface grinderChuck handling, stroke setting, roughing and finishing depth of cut, spark-out, measuring thickness and parallelism
- Change the cutting action with truing and dressingChange the dresser feed and depth of cut, and see how surface finish, sharpness, and burn tendency change
- Tell the wheel condition from the chipsJudge the wheel condition from shedding, loading, glazing, and the shape of the chips
- Cylindrical grinding: center work, traverse and plungeCenter holes, lathe dog, tailstock pressure, and the cycle of rough → fine → finer grinding → spark-out
- Think about conditions in numbersCalculate wheel speed, speed ratio, Q′, and grinding ratio, so you can explain the causes of burn, chatter, and size scatter from the conditions
- On to specialized grindingInternal, centerless, superabrasive (CBN, diamond) wheels, gear grinding
Put together by the Kezuriba editorial team.
ƒCommon formulas
Wheel speed
Vs = π × Ds × ns ÷ 60000
- Vs: wheel speed (m/s)
- Ds: wheel outside diameter (mm)
- ns: wheel rotational speed (min⁻¹)
Work speed (cylindrical grinding)
Vw = π × dw × nw ÷ 1000
- Vw: work speed (m/min)
- dw: workpiece diameter (mm)
- nw: workpiece rotational speed (min⁻¹)
Speed ratio
q = Vs ÷ Vw (use the same units)
- q: speed ratio (dimensionless)
- Vs: wheel speed
- Vw: work speed / table speed
Specific material removal rate (grinding productivity)
Q′ = ae × Vw
- Q′: removal rate per 1 mm of wheel width (mm³/(mm·s))
- ae: depth of cut (mm)
- Vw: work speed / table speed (mm/s)
Specific material removal rate in plunge grinding
Q′ = π × dw × vfr
- Q′: mm³/(mm·s)
- dw: workpiece diameter (mm)
- vfr: radial in-feed rate of the wheelhead (mm/s)
Equivalent chip thickness
heq = ae × Vw ÷ Vs = Q′ ÷ Vs
- heq: equivalent chip thickness (mm; often expressed in µm)
- ae: depth of cut (mm)
- Vw: work speed (mm/s)
- Vs: wheel speed (mm/s)
Grain depth of cut (Noritake)
Cylindrical: g = 2a (v/V) √(1/D + 1/d) √t / Internal: g = 2a (v/V) √(1/D − 1/d) √t / Surface: g = 2a (v/V) √(t/D)
- g: grain depth of cut (mm)
- a: spacing between abrasive grain cutting edges (mm)
- v: work speed (m/min)
- V: wheel speed (m/min)
- D: wheel diameter (mm)
- d: workpiece diameter (mm)
- t: wheel depth of cut (mm)
Contact length (Noritake)
l = √t ÷ √(1/D ± 1/d) (+ for cylindrical, − for internal) / Surface: l = √(t × D)
- l: contact length (mm)
- t: wheel depth of cut (mm)
- D: wheel diameter (mm)
- d: workpiece diameter (mm)
Grinding ratio
G = volume of workpiece removed ÷ volume of wheel wear → wheel wear volume = removed volume ÷ G
- G: grinding ratio (dimensionless)
Specific grinding energy
u = P ÷ Qw = Ft × Vs ÷ (Q′ × b)
- u: specific grinding energy (J/mm³)
- P: grinding power (W)
- Qw: removal rate (mm³/s)
- Ft: tangential grinding force (N)
- Vs: wheel speed (m/s)
- b: grinding width (mm)
Grinding heat entering the workpiece (outline of JTEKT's model)
H = Ft × (Vs + Vw), Hw = Rw × H, qw = Rw × Ft × (Vs + Vw) ÷ (lc × b)
- H: grinding heat (W)
- Ft: tangential grinding force (N)
- Vs: wheel speed (m/s)
- Vw: work speed (m/s)
- Rw: fraction of the heat going to the workpiece (0–1)
- lc: contact length (mm)
- b: workpiece width (mm)
- qw: heat flux into the workpiece (W/mm²)
Proportionality of normal grinding force to removal rate
Fn = kc × Z′ (JTEKT 2007) / Fn = a × Dactual + b (JTEKT 2013)
- Fn: normal grinding force (N)
- kc: slope of normal force against grinding rate (grinding characteristic)
- Z′: grinding rate (mm³/(mm·s))
- a: wheel sharpness (proportionality constant; it gets larger as sharpness drops)
- Dactual: actual depth of cut
- b: force from the hydrodynamic pressure of the coolant
First-order lag of the actual depth of cut (deflection) and spark-out
Dactual = Dcom × (1 − e^(−t/τ)), τ = a × π × D × b ÷ (K × V)
- Dactual: actual depth of cut
- Dcom: commanded depth of cut
- t: time (s)
- τ: time constant (s)
- a: wheel sharpness
- D: workpiece diameter
- b: grinding width
- K: workpiece stiffness (N/µm)
- V: wheel speed
Stock left during spark-out (derived from the first-order lag model)
r(t) = r0 × e^(−t/τ)
- r: stock left (difference between the commanded position and the actual size, mm)
- r0: stock left at the moment the in-feed stops (= deflection e = Fn ÷ K)
- t: spark-out time (s)
- τ: time constant (deflection lag)
Surface grinding setup calculations (geometric relations)
Number of passes N = stock allowance ÷ ae (rounded up); time per stroke ≈ (L + 2 × overrun) ÷ Vw; number of cross feeds per layer ≈ workpiece width ÷ cross feed
- L: workpiece length (mm)
- Overrun: distance the table travels past the end of the workpiece (mm; Niigata University example 30–50 mm)
- Vw: table speed (mm/s)
- ae: depth of cut per pass (mm)
Rounding action in centerless grinding (Micron Seimitsu example)
e_n = e0 × (1 − r)^n
- e_n: form error after n revolutions (mm)
- e0: initial form error (mm)
- r: reduction per revolution
- n: number of workpiece revolutions
What happens when you change the conditions
| If you… | Then… |
|---|---|
| Raise wheel speed Vs | Burn risk increases (more heat is generated). Grain depth of cut gets smaller and the wheel acts harder[21][6][5] |
| Raise depth of cut ae | Removal rate, grinding force, and heat rise, and burn becomes more likely. Grinding ratio G falls (the biggest effect)[21][6][28] |
| Raise Vw and lower ae at the same removal rate Q′ (fast and thin) | The peak workpiece temperature drops and burn is less likely. Grinding ratio also rises[30][28][31] |
| A long time since the last dressing (glazing and loading progress) | Grinding force and heat rise, making burn and chatter more likely[5][23][6] |
| Faster dressing lead and larger dressing depth | Sharper cutting and less burn, but a rougher surface[21][3] |
| The grinding fluid does not reach the grinding point, or has poor lubricity | Burn and cracks become more likely[21][6][22][32] |
| Low stiffness of the workpiece or machine | The lag of the actual depth of cut (time constant) grows and spark-out takes longer. If it is insufficient, steps and form errors remain[7][10] |
| Lengthen the spark-out | Surface finish, dimensional accuracy, and roundness improve (the stock left decays exponentially). Too little spark-out causes poor roundness[10][7][8] |
| Change both Vw and Vs while keeping Vw ÷ Vs constant | The effective hardness of the wheel does not change[5] |
| The workpiece and wheel expand thermally during grinding | You cut away the swollen portion during grinding, and the part shrinks as it cools, leaving it undersize (in a Nihon University example, 28.3 µm of extra in-feed)[14][34] |
| Raise removal rate Q′ | Specific grinding energy u tends to fall (less energy to remove the same volume), but power P = u × Q′ × b rises[25] |
Figures from public sources
- In surface grinding of steel, about 80 % of the grinding heat flows into the workpiece, and 10 % or less each goes to the grains and the chips. It is 90 % or more for carbon steel, which has high thermal conductivity, and below 80 % for SUS304, which has low conductivity. The effects of wheel speed and work speed are small, and the larger the depth of cut, the smaller the share going into the workpiece[35][36]The figures for the share (80 %, 90 %) come only from Ueda et al. (g26). “The effects of wheel speed and work speed are small, and the share going into the workpiece falls as the removal depth increases” agrees with Okuyama of Osaka University (g27). In g26, the body text calls the steel with 90 % or more S45C while the conclusion says S55C, so the designation is inconsistent within the paper
- The temperature at the grinding point can exceed 1000 °C1 source · for reference[1]
- JTEKT cylindrical plunge grinding (CBN #120, concentration 200, φ400 mm, Vs 120 m/s, SCM415H carburized and quenched HRC60, φ68 mm, emulsion 30 L/min): at Vw 0.53 m/s, rehardening appeared at Z′ 20 mm³/(mm·s) (not at 5 or 12). At Vw 1.77 m/s, it did not appear in the experiment even at Z′ 20 (the analysis shows a slight amount)1 source · for reference[30]
- Noritake cylindrical angular grinding (CBN wheel φ380, SCM435 quenched HRc48, φ100): the conventional wheel showed visible burn at a grinding rate of 10 mm³/s. The specially coated wheel showed burn at 25 mm³/s1 source · for reference[21]A product comparison test. The unit of grinding rate is mm³/s (not per unit width)
- Verification conditions of JTEKT's chatter prediction: cylindrical plunge, Z′ 1 mm³/(mm·s), CBN #120, concentration 200, φ160 mm, Vs 119 m/s, SCr420 carburized and quenched HRC64, φ32 mm, Vw 0.50 m/s, depth of cut φ0.3 mm. Roundness: 0.40 µm by analysis, 0.54 µm in the experiment1 source · for reference[30]
- JTEKT's deflection compensation test: chromium steel (carburized and quenched) φ29 mm, width 20 mm, 270 mm between centers, workpiece stiffness 4.4 N/µm (low-stiffness section) and 13.8 N/µm (high-stiffness section), vitrified CBN #120, concentration 150, φ120 mm, Vs 80 m/s, Vw 0.4 m/s, roughing Z′ 8.4 mm³/(mm·s), emulsion diluted 20 times1 source · for reference[7]
- In cylindrical plunge grinding of 52100 steel (HRC58–60) (φ16 in vitrified wheel, Vs 6000 sfpm ≈ 30.5 m/s, grinding width 0.5 in), the specific grinding energy is 7.1–13.3 hp·min/in³ (≈ 19–36 J/mm³) and falls as Q′ rises1 source · for reference[25]
- Nihon University cylindrical plunge grinding: wheel thermal expansion 5.7 µm, workpiece thermal expansion 25.2 µm, wheel wear 3.4 µm, actual extra in-feed 28.3 µm1 source · for reference[34]
- Of the grinding fluid used, only about 10 % reaches the contact zone between wheel and workpiece1 source · for reference[32]
- In steady-state grinding, the elastic ride-up depth of a cutting edge is about 0.2 µm, and removal is mainly by cutting1 source · for reference[36]
⇄Related pages
📚Sources
We checked published technical documents and technical reports from grinding wheel and grinding machine makers, reports and training materials from universities and public testing institutes, and reports from public research institutions on 2026-10-14. Grinding conditions vary greatly with the wheel, workpiece, and machine, so start from the wheel maker's recommended values and the machine's instruction manual.
- Kure Grinding Wheel, “Grinding wheel basics: ‘What is grinding’ (definition, features and drawbacks)”
- Kure Grinding Wheel, “Grinding wheel basics: ‘Where grinding fits’ (classification of machining)”
- Noritake, “General-purpose products general catalog vol.3 (NORITAKE PROFESSIONAL SERIES), technical data: grinding wheel markings, overview of grinding wheels (abrasive grain, grain size, grade, structure, bond), truing/dressing, grinding oil (Noritake Cool)”
- Kure Grinding Wheel, “Grinding wheel basics: ‘Abrasive grain’ (grains in use and their applications, superabrasives)”
- Noritake, “Technical support information: ‘Grinding basics’ (the four conditions of a wheel, chip shapes, grain depth of cut, contact length, effective hardness of the wheel)”
- JTEKT (JTEKT Grinding Tool), “Grinding technology site, technical column: ‘What are grinding burn and grinding cracks? Mechanism, causes, and countermeasures’”
- JTEKT, “JTEKT Engineering Journal No.1011 (2013), Yoritsune, Tano, Sakai, Murakami: ‘A study on workpiece deflection compensation in cylindrical grinding’”
- JTEKT (JTEKT Grinding Tool), “Grinding technology site, technical column: ‘Causes of and countermeasures for poor roundness in cylindrical grinding’”
- Kure Grinding Wheel, “Grinding wheel basics: ‘Types of grinding’ (cylindrical, internal, centerless, surface, tool, freehand grinding, cutoff, and others)”
- Niigata University, Faculty of Engineering, Machine Shop, “Training text, Chapter 12: ‘Grinding and accuracy measurement with a surface grinder’”
- Okamoto Machine Tool Works, “Product lineup (surface, form, cylindrical, internal, combination, center hole, and gear grinders, and more)”
- Kanetec, “General catalog p.43 (holding force of magnetic chucks, pole pitch and workpiece thickness, electromagnetic chuck standards, selecting grinding fluids)”
- Industrial Technology Institute, Miyagi Prefectural Government, “Equipment introduction: ‘Surface grinder’ (Nagase Integrex SGE-520SLD2-E2, cemented carbide machining example, revised 2019.10)”
- JTEKT, “Technical and information column: ‘Cylindrical grinder basics and a guide to identifying accuracy problems, with diagnostic checklist’”
- Micron Seimitsu, “Technical news: ‘Principle of centerless grinding: types of grinding and their characteristics’ (2022-06-29)”
- SME (Society of Manufacturing Engineers, USA), “Tips for Trouble-Free Centerless Grinding (May 2017)”
- Noritake, “NORITAKE TECHNICAL JOURNAL, Problem solving: ‘Tough Ace wheels for centerless grinding’”
- Mitsui Seiki, “Jig grinders (comparison table: stroke, table size, chopping stroke) / Machine tools top page (thread grinders)”
- Kure Grinding Wheel, “Grinding wheel basics: ‘Specification markings’”
- Kure Grinding Wheel, “Grinding wheel basics: ‘Bond’”
- Noritake, “NORITAKE TECHNICAL JOURNAL, Problem solving: ‘Techniques to suppress grinding burn and the Σ wheel, a vitrified CBN wheel for high-efficiency grinding’ (2020)”
- UNITED GRINDING (parent company of STUDER, BLOHM, and others), “Motion blog: Typical Grinding Errors – And How to Eliminate Them”
- JTEKT (JTEKT Grinding Tool), “Grinding technology site, technical column: ‘Shedding, glazing, and loading, and their effects on grinding’”
- JTEKT (JTEKT Grinding Tool), “Grinding technology site, technical column: ‘What are truing and dressing (differences in purpose and evaluation criteria)’”
- U.S. Department of Energy OSTI (Oak Ridge National Laboratory / Milacron), “Krueger, Yoon, Gong, McSpadden, O'Rourke, Parten: New Technology in Metalworking Fluids and Grinding Wheels Achieves Tenfold Improvement in Grinding Performance (2000, OSTI ID 771407)”
- Tochigi Prefectural Industrial Technology Center, “Research Report No.21 (2024), Yamashita, Kondo, Koike: ‘Estimating the grinding state using an AE sensor’”
- Kochi University of Technology, “Bachelor's thesis abstract (2006), Hirohiko Takahashi: ‘Automatic determination of wheel life in surface traverse grinding’”
- Kagoshima University, “Hideho Tanaka: ‘Grinding factors in heavy cylindrical grinding’, Reports of the Faculty of Engineering, Kagoshima University, No.20 (1978), pp.25-33”
- MDPI (Materials, full text obtained via Europe PMC), “González, Pereira, Fernández-Valdivielso, López de Lacalle: Comparison of Flank Super Abrasive Machining vs. Flank Milling on Inconel 718 Surfaces. Materials 2018, 11(9), 1638. doi:10.3390/ma11091638”
- JTEKT, “JTEKT Engineering Journal No.1004 (2007), Onozaki, Saito: ‘Development of grinding simulation technology based on the machining process’”
- Kagoshima University, “Hideho Tanaka, Toshimi Minami: ‘Performance of 19A wheels in heavy cylindrical grinding, and the capability of the grinder’, Reports of the Faculty of Engineering, Kagoshima University, No.17 (1975), pp.1-9”
- UNITED GRINDING (parent company of STUDER, BLOHM, and others), “Motion blog: The use of cooling lubricant for grinding”
- JTEKT (JTEKT Grinding Tool), “Grinding technology site, technical column: ‘Causes of and countermeasures for chatter in grinding’”
- College of Science and Technology, Nihon University, “Proceedings of the 64th Academic Conference, K-4, Ishita, Yamada et al.: ‘Effect of wheel thermal expansion on the amount of material removed in cylindrical grinding’”
- Japan Society for Precision Engineering (hosted in the Kanazawa University repository), “Takashi Ueda, Akihito Torii, Keiji Yamada: ‘Heat flow ratio in surface grinding of steel’, Journal of the Japan Society for Precision Engineering, Vol.60 No.11 (1994), pp.1616-1620”
- Osaka University, “Shigeki Okuyama: ‘Study on grinding heat’, doctoral thesis, summary (1981)”
- g23 Niigata University training
- g24 Tochigi Prefectural Industrial Technology Center
- g25 Kochi University of Technology
- g12 JTEKT
- g13 JTEKT
- g28 Oak Ridge