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Home / Torsional Stiffness / Torsional Stiffness Curves: Measuring Hysteresis and Lost Motion in Precision Drives
Torsional Stiffness

Torsional Stiffness Curves: Measuring Hysteresis and Lost Motion in Precision Drives

Evaluating sub-arcminute angular positioning errors across positive and negative loading cycles on high-torque optical rotary tables.

By Dr. Sophie Mercier, Metrologist September 17, 2026 • 7 min read
Torsional Stiffness Curves: Measuring Hysteresis and Lost Motion in Precision Drives

Non-Linear Torsional Spring Constants across Torque Ranges

Strain wave gears exhibit a soft-spring region near zero torque before stiffening into a steep linear spring rate above 20% rated load.

Lost Motion Protocol at ±3% Rated Torque Loading

International standards define lost motion as the hysteresis loop width under light ±3% torque sweeps, capturing elastic deformation.

Optical Encoder Dual-Loop Closed Position Feedback

Placing an absolute optical ring encoder directly on the joint output shaft eliminates gearbox windup errors from robot trajectory calculations.

⚠️ Technical & Safety Verification

The empirical methods outlined in this study reflect verified precision robotic actuation & strain wave gearing dynamics protocols and field measurements. Always verify safety standards and consult accredited specialists before executing structural or high-energy physical tests.

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