Robotics Engineering

Delta Robot Singularity Proximity Index Calculator

Delta Robot Singularity Proximity Index Calculator engineering calculator.

Quick Answer

Calculate Delta Robot Singularity Proximity Index Calculator

Calculator

Singularity proximity index
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Result Interpretation

Delta Robot Singularity Proximity Index Calculator computes Singularity proximity index in 1 using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Jacobian determinant = 0.125
  • Maximum squared Jacobian determinant under nominal workspace = 0.015625

Expected Result:

  • Singularity proximity index = 7.9999947798447E-6

Engineering Interpretation:

Under the given input conditions, the calculated result is: Singularity proximity index = 7.9999947798447E-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

singularity proximity index = sqrt(1.0 - pow(jacobian determinant, 2) / (maximum squared jacobian determinant under nominal workspace + 1e-12))

Formula family: formula_robotics_delta_robot_singularity_proximity_index_calculator

Variables

SymbolLabelRoleDescription
det_J Jacobian determinant INPUT Jacobian determinant
det_J_sq_max Maximum squared Jacobian determinant under nominal workspace INPUT Maximum squared Jacobian determinant under nominal workspace
singularity_proximity_index Singularity proximity index OUTPUT Singularity proximity index
eps eps CONSTANT eps = 1.0E-12 1

Calculation Steps

  1. Enter the jacobian determinant in 1.
  2. Enter the maximum squared jacobian determinant under nominal workspace in 1.
  3. Step 1: Compute singularity proximity index.
  4. Read the singularity proximity index (1) from the results.

Engineering Summary

Calculate Delta Robot Singularity Proximity Index Calculator

Frequently Asked Questions

What does this calculator calculate?

The Delta Robot Singularity Proximity Index Calculator estimates Singularity proximity index based on the input parameters you provide

Why is jacobian determinant important in this calculation?

jacobian determinant is directly proportional to singularity proximity index. It is a key parameter in the engineering formula used by this calculator

How should I interpret the result singularity proximity index?

The calculator outputs singularity proximity index. The result is computed directly from the input values using the defined engineering formula

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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