Cnc Engineering

CNC Toolpath Vibration Mode Excitation Risk Index calculator

CNC Toolpath Vibration Mode Excitation Risk Index engineering calculator.

Quick Answer

Calculate CNC Toolpath Vibration Mode Excitation Risk Index

Calculator

Vibration Excitation Risk Index
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Result Interpretation

CNC Toolpath Vibration Mode Excitation Risk Index calculator computes Vibration Excitation Risk Index in 1 using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Number of Flutes = 4
  • Tool Diameter = 12
  • Feed per Tooth = 0.08
  • Spindle Speed = 7500
  • Effective Cutting Length = 30
  • Dominant Bending Mode Frequency = 1250

Expected Result:

  • Vibration Excitation Risk Index = 0.6

Engineering Interpretation:

Under the given input conditions, the calculated result is: Vibration Excitation Risk Index = 0.6.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

vibration excitation risk index = abs((spindle speed * number of flutes / 60.0) - dominant bending mode frequency) / dominant bending mode frequency

Formula family: formula_cnc_cnc_toolpath_vibration_mode_excitation_checker

Variables

SymbolLabelRoleDescription
spindle_speed_rpm Spindle Speed INPUT Spindle Speed
feed_per_tooth_mm Feed per Tooth INPUT Feed per Tooth
number_of_flutes Number of Flutes INPUT Number of Flutes
tool_diameter_mm Tool Diameter INPUT Tool Diameter
effective_cutting_length_mm Effective Cutting Length INPUT Effective Cutting Length
dominant_bending_mode_frequency_hz Dominant Bending Mode Frequency INPUT Dominant Bending Mode Frequency
vibration_excitation_risk Vibration Excitation Risk Index OUTPUT Vibration Excitation Risk Index

Calculation Steps

  1. Enter the spindle speed in min^-1.
  2. Enter the feed per tooth in mm.
  3. Enter the number of flutes in 1.
  4. Enter the tool diameter in mm.
  5. Enter the effective cutting length in mm.
  6. Enter the dominant bending mode frequency in Hz.
  7. Step 1: Compute vibration excitation risk index.
  8. Read the vibration excitation risk index (1) from the results.

Engineering Summary

Calculate CNC Toolpath Vibration Mode Excitation Risk Index

Frequently Asked Questions

What does this calculator calculate?

The CNC Toolpath Vibration Mode Excitation Risk Index calculator estimates Vibration Excitation Risk Index based on the input parameters you provide

Why is spindle speed important in this calculation?

spindle speed is directly proportional to vibration excitation risk index. When you enter spindle speed in min^-1, the calculator uses it in the engineering formula to compute the output

How should I interpret the result vibration excitation risk index?

The calculator outputs vibration excitation risk index. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Spindle Speed (min^-1), Feed per Tooth (mm), Tool Diameter (mm), Effective Cutting Length (mm), Dominant Bending Mode Frequency (Hz). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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