System stiffness given Number of workpiece revolution Calculator

✖The Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.ⓘ The Surface Speed of Workpiece [v_w]			+10% -10%
✖The Width of grinding path is defined as the width of the path of the grinding tool.ⓘ 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.ⓘ Workpiece removal parameter per unit time [Λ_W]			+10% -10%
✖The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding.ⓘ The 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*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The 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.
The Surface Speed of Workpiece - (Measured in Meter per Second) - The Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.
The Width of grinding path - (Measured in Meter) - The Width of grinding path is defined as the width of the path of the grinding tool.
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 Number of Workpiece revolution - The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding.

STEP 1: Convert Input(s) to Base Unit

The Surface Speed of Workpiece: 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
The 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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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Analysis of Grinding Process » Cylindrical Grinding cycle » Workpiece » System stiffness given Number of workpiece revolution

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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)/The wheel removal parameter per unit time

Surface speed of workpiece given constant for grinding wheel

Go The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The 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*The Surface Speed of Workpiece*The Width of grinding path/(The Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go The Surface Speed of Workpiece = The 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 = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The Number of Workpiece revolution)

Number of workpiece revolution

Go The Number of Workpiece revolution = 2*The Surface Speed of Workpiece*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 The Surface Speed of Workpiece = 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 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 The Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = The Number of Workpiece revolution/Time taken for spark-out operation

Proportion of Total Energy flowing into workpiece

Go Proportion of total energy flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain is the area)*100

System stiffness given Number of workpiece revolution Formula

Effective stiffness = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The 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*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The 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 The Surface Speed of Workpiece (v_w), The Width of grinding path (a_p), Workpiece removal parameter per unit time (Λ_W) & The 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*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The Number of Workpiece revolution). The Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool, The Width of grinding path is defined as the width of the path of the grinding tool, Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force & The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding.

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*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The Number of Workpiece revolution). To calculate System stiffness given Number of workpiece revolution, you need The Surface Speed of Workpiece (v_w), The Width of grinding path (a_p), Workpiece removal parameter per unit time (Λ_W) & The Number of Workpiece revolution (m). With our tool, you need to enter the respective value for The Surface Speed of Workpiece, The Width of grinding path, Workpiece removal parameter per unit time & The 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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