Percentage Volume of Bond material from Lindsay's semiempirical analysis Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Vb = ((7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Λt*dg^0.13*Rkc^1.42))^(100/47)
This formula uses 9 Variables
Variables Used
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.
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.
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.
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.
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.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
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).
STEP 1: Convert Input(s) to Base Unit
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)
Depth of Dress: 11 Millimeter --> 0.011 Meter (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Equivalent Wheel Diameter: 40 Millimeter --> 0.04 Meter (Check conversion here)
Wheel Removal Parameter: 2.4 --> No Conversion Required
Grain diameter of the grinding wheel: 7 Millimeter --> 0.007 Meter (Check conversion here)
Rockwell Hardness number: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vb = ((7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Λt*dg^0.13*Rkc^1.42))^(100/47) --> ((7.93*100000*((0.1/0.0048)^0.158)*(1+(4*0.011/(3*0.0009)))*0.0009^0.58*0.0048)/(0.04^0.14*2.4*0.007^0.13*20^1.42))^(100/47)
Evaluating ... ...
Vb = 1619.96067233319
STEP 3: Convert Result to Output's Unit
1619.96067233319 --> No Conversion Required
FINAL ANSWER
1619.96067233319 1619.961 <-- Percentage Volume of Bond Material in Grinding
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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17 Cylindrical Grinding cycle Calculators

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)
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
Width of Grinding path given number of workpiece revolutions
Go Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece)
System stiffness given Number of workpiece revolution
Go Effective stiffness = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Number of Workpiece revolution)
Number of workpiece revolution
Go Number of Workpiece revolution = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Effective stiffness)
Equivalent wheel diameter
Go Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))
Percentage Volume of Bond material in wheel of grinding
Go Percentage Volume of Bond Material in Grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8
Number of workpiece revolutions given Time taken for spark out operation
Go Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency
Rotational frequency of workpiece given Number of workpiece revolution
Go Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation
Time taken for spark-out operation
Go Time taken for spark-out operation = Number of Workpiece revolution/Rotational Frequency
Relative contact area of grains given Total Energy flowing into workpiece
Go Relative Contact Area of Grain = ((Proportion of total energy flowing into workpiece/100)-0.6)/0.05
Proportion of Total Energy flowing into workpiece
Go Proportion of total energy flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain)*100
Grain Diameter of grinding wheel
Go Grain diameter of the grinding wheel = 0.0254/Grain size (in mm)
Grain size given grain Diameter
Go Grain size (in mm) = 0.0254/Grain diameter of the grinding wheel

Percentage Volume of Bond material from Lindsay's semiempirical analysis Formula

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)
Vb = ((7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Λt*dg^0.13*Rkc^1.42))^(100/47)

What is dressing operation?

The dressing is the process of sharpening a grinding wheel. In most grinding operations, small chips of workpiece material can become lodged in the cutting surface. If the wheel bonding hardness is excessive, dulled abrasive grains can remain in the grinding wheel.

How to Calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis?

Percentage Volume of Bond material from Lindsay's semiempirical analysis calculator uses 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) to calculate the Percentage Volume of Bond Material in Grinding, The Percentage Volume of Bond material from Lindsay's semiempirical analysis is used to determine the percentage of the volume of a bond material in the grinding wheel. Percentage Volume of Bond Material in Grinding is denoted by Vb symbol.

How to calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis using this online calculator? To use this online calculator for Percentage Volume of Bond material from Lindsay's semiempirical analysis, enter Surface Speed of Workpiece (vw), Surface Speed of Wheel (vt), Depth of Dress (ad), Feed (fin), Equivalent Wheel Diameter (de), Wheel Removal Parameter t), Grain diameter of the grinding wheel (dg) & Rockwell Hardness number (Rkc) and hit the calculate button. Here is how the Percentage Volume of Bond material from Lindsay's semiempirical analysis calculation can be explained with given input values -> 1619.961 = ((7.93*100000*((0.1/0.0048)^0.158)*(1+(4*0.011/(3*0.0009)))*0.0009^0.58*0.0048)/(0.04^0.14*2.4*0.007^0.13*20^1.42))^(100/47).

FAQ

What is Percentage Volume of Bond material from Lindsay's semiempirical analysis?
The Percentage Volume of Bond material from Lindsay's semiempirical analysis is used to determine the percentage of the volume of a bond material in the grinding wheel and is represented as Vb = ((7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Λt*dg^0.13*Rkc^1.42))^(100/47) or 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). 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, Depth of dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle, 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 wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force, 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).
How to calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis?
The Percentage Volume of Bond material from Lindsay's semiempirical analysis is used to determine the percentage of the volume of a bond material in the grinding wheel is calculated using 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). To calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis, you need Surface Speed of Workpiece (vw), Surface Speed of Wheel (vt), Depth of Dress (ad), Feed (fin), Equivalent Wheel Diameter (de), Wheel Removal Parameter t), Grain diameter of the grinding wheel (dg) & Rockwell Hardness number (Rkc). With our tool, you need to enter the respective value for Surface Speed of Workpiece, Surface Speed of Wheel, Depth of Dress, Feed, Equivalent Wheel Diameter, Wheel Removal Parameter, Grain diameter of the grinding wheel & Rockwell Hardness number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Percentage Volume of Bond Material in Grinding?
In this formula, Percentage Volume of Bond Material in Grinding uses Surface Speed of Workpiece, Surface Speed of Wheel, Depth of Dress, Feed, Equivalent Wheel Diameter, Wheel Removal Parameter, Grain diameter of the grinding wheel & Rockwell Hardness number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Percentage Volume of Bond Material in Grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8
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