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Robot Manipulability Ellipsoid & Yoshikawa Dexterity Measure Calculator

Easily calculate and compute robot manipulability ellipsoid & yoshikawa dexterity measure calculator with accurate equations, live formulas, and expert guidance.

Arm first link span.

Arm second link span.

Relative elbow angle between links (0 to 180 deg).

Calculated Result
0.13 m²

Manipulability (w)

Manipulability (w)

0.13 m²

Yoshikawa Manipulability Index

0.127

Manipulability Percentage Of Max

70.7

Ellipsoid Major Axis Velocity

0.869

Ellipsoid Minor Axis Velocity

0.146

0.13 — m²

Calculation Breakdown

  1. Applied FormulaComputes Tsuneo Yoshikawa’s kinematic manipulability index (w) and velocity ellipsoid axes to quantify robotic arm isotropic dexterity and closeness to singularities.w = \sqrt{\det\left(J(\mathbf{q}) J^T(\mathbf{q})\right)} = L_1 L_2 |\sin\theta_2|

Yoshikawa Manipulability Index Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Manipulability (w)

What Is the Robot Manipulability Ellipsoid & Yoshikawa Dexterity Measure Calculator?

This tool computes robot manipulability ellipsoid & yoshikawa dexterity measure calculator with high precision arithmetic.

How Does the Robot Manipulability Ellipsoid & Yoshikawa Dexterity Measure Calculator Work?

Computes Tsuneo Yoshikawa’s kinematic manipulability index (w) and velocity ellipsoid axes to quantify robotic arm isotropic dexterity and closeness to singularities.

Robot Manipulability Ellipsoid & Yoshikawa Dexterity Measure Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

w=det⁡(J(q)JT(q))=L1L2∣sin⁡θ2∣w = \sqrt{\det\left(J(\mathbf{q}) J^T(\mathbf{q})\right)} = L_1 L_2 |\sin\theta_2|

Computes Tsuneo Yoshikawa’s kinematic manipulability index (w) and velocity ellipsoid axes to quantify robotic arm isotropic dexterity and closeness to singularities.

How to Use the Robot Manipulability Ellipsoid & Yoshikawa Dexterity Measure Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Robot Manipulability Ellipsoid & Yoshikawa Dexterity Measure Calculator Example

Input Values:

link1LengthMeters:0.45
link2LengthMeters:0.4
elbowAngleTheta2Deg:45
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m².

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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