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Updated: May 24, 2026

Operation of the Collaborative Composite Manufacturing (CCM) System
Published on: October 1, 2019
Note: Rotational compliance and instantaneous center of rotation in segmented and V-shaped notch hinges
1International Society of Automation (ISA), 20 Randall St. Apt. 5G, Providence, Rhode Island 02904, USA.
Abstract:
This note shows a technique for the calculation of rotational compliance (stiffness) and develops a generalized mathematical model for the virtual center of rotation position in concave, segmented, and V-shaped notch hinges using Chebyshev's polynomials. The calculational results are in a good agreement with experimental data and finite element model verified output with estimated differences of less than 10%. This agreement shows that our tractable model is a general one for rotational compliance and the evaluation of a virtual center of rotation position in any type of concave flexure notch hinges.
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