System stiffness given Number of workpiece revolution Calculator

✖Surface Speed of Workpiece in Grinding is the speed at which the outer edge of the wheel moves relative to the workpiece being ground. It influences the material removal rate and surface finish.ⓘ Surface Speed of Workpiece in Grinding [v_w]			+10% -10%
✖The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece.ⓘ The Width of Grinding Path [a_p]			+10% -10%
✖Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.ⓘ Workpiece Removal Parameter per Unit Time [Λ_W]			+10% -10%
✖Number of Workpiece Revolution is defined as the number of times the workpiece rotates completely about its axis during a machining operation.ⓘ Number of Workpiece Revolution [m]			+10% -10%

✖Effective stiffness is the total extent to which a workpiece resists deformation in response to an applied force.ⓘ System stiffness given Number of workpiece revolution [S_e]

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Formula

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System stiffness given Number of workpiece revolution

Formula

`"S"_{"e"} = 2*"v"_{"w"}*"a"_{"p"}/("Λ"_{"W"}*"m")`

Example

`"0.029935N/m"=2*"100mm/s"*"1100.1mm"/("2.45"*"3")`

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System stiffness given Number of workpiece revolution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution)
S_e = 2*v_w*a_p/(Λ_W*m)
This formula uses 5 Variables

Variables Used

Effective Stiffness - (Measured in Newton per Meter) - Effective stiffness is the total extent to which a workpiece resists deformation in response to an applied force.
Surface Speed of Workpiece in Grinding - (Measured in Meter per Second) - Surface Speed of Workpiece in Grinding is the speed at which the outer edge of the wheel moves relative to the workpiece being ground. It influences the material removal rate and surface finish.
The Width of Grinding Path - (Measured in Meter) - The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece.
Workpiece Removal Parameter per Unit Time - Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.
Number of Workpiece Revolution - Number of Workpiece Revolution is defined as the number of times the workpiece rotates completely about its axis during a machining operation.

STEP 1: Convert Input(s) to Base Unit

Surface Speed of Workpiece in Grinding: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
The Width of Grinding Path: 1100.1 Millimeter --> 1.1001 Meter (Check conversion here)
Workpiece Removal Parameter per Unit Time: 2.45 --> No Conversion Required
Number of Workpiece Revolution: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = 2*v_w*a_p/(Λ_W*m) --> 2*0.1*1.1001/(2.45*3)

Evaluating ... ...

S_e = 0.029934693877551

STEP 3: Convert Result to Output's Unit

0.029934693877551 Newton per Meter --> No Conversion Required

FINAL ANSWER

0.029934693877551 ≈ 0.029935 Newton per Meter <-- Effective Stiffness

(Calculation completed in 00.004 seconds)

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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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< 14 Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

Go Grinding Workpiece Diameter = Workpiece Removal Parameter per Unit Time*Diameter of Grinding Tool Wheel*((Machine Infeed Speed/Feed Speed)-1)/Wheel Removal Parameter per Unit Time

Surface speed of workpiece given constant for grinding wheel

Go Surface Speed of Workpiece in Grinding = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel in Grinding/(Constant for Particular Grinding Wheel*sqrt(The Feed))

Workpiece diameter given equivalent wheel diameter

Go Grinding Workpiece Diameter = Equivalent Grinding Wheel Diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel Diameter)

Workpiece removal parameter given number of workpiece revolution

Go Workpiece Removal Parameter per Unit Time = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Number of Workpiece Revolution*Effective Stiffness)

Workpiece surface speed given number of workpiece revolutions

Go Surface Speed of Workpiece in Grinding = Number of Workpiece Revolution*Workpiece Removal Parameter per Unit Time*Effective Stiffness/(2*The Width of Grinding Path)

Width of Grinding path given number of workpiece revolutions

Go The Width of Grinding Path = Number of Workpiece Revolution*Workpiece Removal Parameter per Unit Time*Effective Stiffness/(2*Surface Speed of Workpiece in Grinding)

System stiffness given Number of workpiece revolution

Go Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution)

Number of workpiece revolution

Go Number of Workpiece Revolution = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Effective Stiffness)

Diameter of workpiece given Metal removal rate

Go Grinding Workpiece Diameter = Metal Removal Rate (MRR)/(Feed Speed*pi*The Width of Grinding Path)

Surface Speed of workpiece given Metal removal rate during grinding

Go Surface Speed of Workpiece in Grinding = Material Removal Rate (MRR)/(The Feed*The Width of Grinding Path)

Percentage Volume of Bond material in wheel of grinding

Go Percentage Volume of Bond Material = (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

Proportion of Total Energy flowing into workpiece

Go Proportion of Total Energy Flow = (0.6+0.05*Relative Contact Area of Grain)*100

System stiffness given Number of workpiece revolution Formula

Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution)
S_e = 2*v_w*a_p/(Λ_W*m)

What is spark out in grinding?

Spark out is a term used when precision values are sought and literally means "until the sparks are out (no more)". It involves passing the workpiece under the wheel, without resetting the depth of the cut, more than once and generally multiple times.

How to Calculate System stiffness given Number of workpiece revolution?

System stiffness given Number of workpiece revolution calculator uses Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution) to calculate the Effective Stiffness, The System stiffness given Number of workpiece revolution is the total extent to which a workpiece resists deformation in response to an applied force. Effective Stiffness is denoted by S_e symbol.

How to calculate System stiffness given Number of workpiece revolution using this online calculator? To use this online calculator for System stiffness given Number of workpiece revolution, enter Surface Speed of Workpiece in Grinding (v_w), The Width of Grinding Path (a_p), Workpiece Removal Parameter per Unit Time (Λ_W) & Number of Workpiece Revolution (m) and hit the calculate button. Here is how the System stiffness given Number of workpiece revolution calculation can be explained with given input values -> 0.040744 = 2*0.1*1.1001/(2.45*3).

FAQ

What is System stiffness given Number of workpiece revolution?

The System stiffness given Number of workpiece revolution is the total extent to which a workpiece resists deformation in response to an applied force and is represented as S_e = 2*v_w*a_p/(Λ_W*m) or Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution). Surface Speed of Workpiece in Grinding is the speed at which the outer edge of the wheel moves relative to the workpiece being ground. It influences the material removal rate and surface finish, The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece, Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time & Number of Workpiece Revolution is defined as the number of times the workpiece rotates completely about its axis during a machining operation.

How to calculate System stiffness given Number of workpiece revolution?

The System stiffness given Number of workpiece revolution is the total extent to which a workpiece resists deformation in response to an applied force is calculated using Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution). To calculate System stiffness given Number of workpiece revolution, you need Surface Speed of Workpiece in Grinding (v_w), The Width of Grinding Path (a_p), Workpiece Removal Parameter per Unit Time (Λ_W) & Number of Workpiece Revolution (m). With our tool, you need to enter the respective value for Surface Speed of Workpiece in Grinding, The Width of Grinding Path, Workpiece Removal Parameter per Unit Time & Number of Workpiece Revolution 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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