Depth of dress from Lindsay semiempirical analysis Calculator

✖The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.ⓘ Wheel Removal Parameter [Λ_t]			+10% -10%
✖Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.ⓘ Equivalent Wheel Diameter [d_e]			+10% -10%
✖The Percentage volume of bond material in grinding is the percentage of the volume of bond material in the grinding wheel.ⓘ Percentage Volume of Bond Material in Grinding [V_b]			+10% -10%
✖Grain diameter of the grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation.ⓘ Grain diameter of the grinding wheel [d_g]			+10% -10%
✖The Rockwell hardness number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading, the harder the material).ⓘ Rockwell Hardness number [R_kc]			+10% -10%
✖Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.ⓘ Surface Speed of Workpiece [v_w]			+10% -10%
✖Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.ⓘ Surface Speed of Wheel [v_t]			+10% -10%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f_in]			+10% -10%

✖Depth of dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece.ⓘ Depth of dress from Lindsay semiempirical analysis [a_d]

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Formula

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Depth of dress from Lindsay semiempirical analysis

Formula

`"a"_{"d"} = ((("Λ"_{"t"}*"d"_{"e"}^0.14*"V"_{"b"}^0.47*"d"_{"g"}^0.13*"R"_{"kc"}^1.42)/(7.93*100000*(("v"_{"w"}/"v"_{"t"})^0.158)*"f"_{"in"}^0.58*"v"_{"t"}))-1)*3*"f"_{"in"}/4`

Example

`"0.657681mm"=((("2.4"*("40mm")^0.14*("16")^0.47*("7mm")^0.13*("20")^1.42)/(7.93*100000*(("100mm/s"/"4.8mm/s")^0.158)*("0.9mm")^0.58*"4.8mm/s"))-1)*3*"0.9mm"/4`

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Depth of dress from Lindsay semiempirical analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4
a_d = (((Λ_t*d_e^0.14*V_b^0.47*d_g^0.13*R_kc^1.42)/(7.93*100000*((v_w/v_t)^0.158)*f_in^0.58*v_t))-1)*3*f_in/4
This formula uses 9 Variables

Variables Used

Depth of Dress - (Measured in Meter) - Depth of dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
Equivalent Wheel Diameter - (Measured in Meter) - Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.
Percentage Volume of Bond Material in Grinding - The Percentage volume of bond material in grinding is the percentage of the volume of bond material in the grinding wheel.
Grain diameter of the grinding wheel - (Measured in Meter) - Grain diameter of the grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation.
Rockwell Hardness number - The Rockwell hardness number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading, the harder the material).
Surface Speed of Workpiece - (Measured in Meter per Second) - Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.
Surface Speed of Wheel - (Measured in Meter per Second) - Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

STEP 1: Convert Input(s) to Base Unit

Wheel Removal Parameter: 2.4 --> No Conversion Required
Equivalent Wheel Diameter: 40 Millimeter --> 0.04 Meter (Check conversion here)
Percentage Volume of Bond Material in Grinding: 16 --> No Conversion Required
Grain diameter of the grinding wheel: 7 Millimeter --> 0.007 Meter (Check conversion here)
Rockwell Hardness number: 20 --> No Conversion Required
Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Surface Speed of Wheel: 4.8 Millimeter per Second --> 0.0048 Meter per Second (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_d = (((Λ_t*d_e^0.14*V_b^0.47*d_g^0.13*R_kc^1.42)/(7.93*100000*((v_w/v_t)^0.158)*f_in^0.58*v_t))-1)*3*f_in/4 --> (((2.4*0.04^0.14*16^0.47*0.007^0.13*20^1.42)/(7.93*100000*((0.1/0.0048)^0.158)*0.0009^0.58*0.0048))-1)*3*0.0009/4

Evaluating ... ...

a_d = 0.000657680918744346

STEP 3: Convert Result to Output's Unit

0.000657680918744346 Meter -->0.657680918744346 Millimeter (Check conversion here)

FINAL ANSWER

0.657680918744346 ≈ 0.657681 Millimeter <-- Depth of Dress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Analysis of Grinding Process » Lindsay Semiempirical Analysis » Depth of dress from Lindsay semiempirical analysis

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National Institute of Technology (NIT), Srinagar

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< 8 Lindsay Semiempirical Analysis Calculators

Workpiece surface speed from Lindsay's semiempirical analysis

Go Surface Speed of Workpiece = ((Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42*Wheel Removal Parameter)/(7.93*100000*((1/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel))^(1000/158)

Rockwell hardness number of work material from Lindsay semiempirical analysis

Go Rockwell Hardness number = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Wheel Removal Parameter))^(100/142)

Percentage Volume of Bond material from Lindsay's semiempirical analysis

Go Percentage Volume of Bond Material in Grinding = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Wheel Removal Parameter*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42))^(100/47)

Equivalent wheel diameter from Lindsay's semiempirical analysis

Go Equivalent Wheel Diameter = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Wheel Removal Parameter*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42))^(100/14)

Grain diameter from Lindsay's semiempirical analysis

Go Grain diameter of the grinding wheel = ((7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Wheel Removal Parameter*Rockwell Hardness number^1.42))^(100/13)

Wheel removal parameter from Lindsay's semiempirical analysis

Go Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)

Depth of dress from Lindsay semiempirical analysis

Go Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4

Wheel surface speed from Lindsay's semiempirical analysis

Go Surface Speed of Wheel = ((Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42*Wheel Removal Parameter)/(7.93*100000*((Surface Speed of Workpiece)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58))^(1/(1-0.158))

Depth of dress from Lindsay semiempirical analysis Formula

Why dressing of wheel is necessary for grinding?

The objective of dressing the wheel is to: True the wheel by knocking abrasive particles from the wheel's surface and making the wheel concentric. This minimizes vibration and improves surface finish, eliminating the vibration of the out-of-balance wheel across the workpiece's surface.

How to Calculate Depth of dress from Lindsay semiempirical analysis?

Depth of dress from Lindsay semiempirical analysis calculator uses Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4 to calculate the Depth of Dress, The Depth of dress from Lindsay semiempirical analysis in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece. Depth of Dress is denoted by a_d symbol.

How to calculate Depth of dress from Lindsay semiempirical analysis using this online calculator? To use this online calculator for Depth of dress from Lindsay semiempirical analysis, enter Wheel Removal Parameter (Λ_t), Equivalent Wheel Diameter (d_e), Percentage Volume of Bond Material in Grinding (V_b), Grain diameter of the grinding wheel (d_g), Rockwell Hardness number (R_kc), Surface Speed of Workpiece (v_w), Surface Speed of Wheel (v_t) & Feed (f_in) and hit the calculate button. Here is how the Depth of dress from Lindsay semiempirical analysis calculation can be explained with given input values -> 657.6809 = (((2.4*0.04^0.14*16^0.47*0.007^0.13*20^1.42)/(7.93*100000*((0.1/0.0048)^0.158)*0.0009^0.58*0.0048))-1)*3*0.0009/4.

FAQ

What is Depth of dress from Lindsay semiempirical analysis?

The Depth of dress from Lindsay semiempirical analysis in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece and is represented as a_d = (((Λ_t*d_e^0.14*V_b^0.47*d_g^0.13*R_kc^1.42)/(7.93*100000*((v_w/v_t)^0.158)*f_in^0.58*v_t))-1)*3*f_in/4 or Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4. The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force, Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed, The Percentage volume of bond material in grinding is the percentage of the volume of bond material in the grinding wheel, Grain diameter of the grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation, The Rockwell hardness number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading, the harder the material), Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool, Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding & The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

How to calculate Depth of dress from Lindsay semiempirical analysis?

The Depth of dress from Lindsay semiempirical analysis in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece is calculated using Depth of Dress = (((Wheel Removal Parameter*Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4. To calculate Depth of dress from Lindsay semiempirical analysis, you need Wheel Removal Parameter (Λ_t), Equivalent Wheel Diameter (d_e), Percentage Volume of Bond Material in Grinding (V_b), Grain diameter of the grinding wheel (d_g), Rockwell Hardness number (R_kc), Surface Speed of Workpiece (v_w), Surface Speed of Wheel (v_t) & Feed (f_in). With our tool, you need to enter the respective value for Wheel Removal Parameter, Equivalent Wheel Diameter, Percentage Volume of Bond Material in Grinding, Grain diameter of the grinding wheel, Rockwell Hardness number, Surface Speed of Workpiece, Surface Speed of Wheel & Feed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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