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Unsymmetric Bending - Angle of Neutral Axis

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Related Experiment Video

Updated: Feb 22, 2026

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Published on: February 4, 2013

A Generic Compliance Modeling Method for Two-Axis Elliptical-Arc-Filleted Flexure Hinges.

Lijian Li¹, Dan Zhang^2,3, Sheng Guo⁴

¹School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China. lljianzhu@126.com.

Sensors (Basel, Switzerland)

|September 20, 2017

Summary

This study presents novel two-axis elliptical-arc-filleted flexure hinges for compliant mechanisms. Analytical models and finite element analysis validate their performance, offering new design possibilities for flexible joints.

Keywords:

compliance modeling elliptical arc filleted flexure hinge flexure segment two-axis

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Published on: September 19, 2018

Area of Science:

Mechanical Engineering
Robotics
Materials Science

Background:

Two-axis flexure hinges are crucial components in constructing spatial compliant mechanisms.
These hinges enable both in-plane and out-of-plane motions, essential for complex robotic and mechatronic systems.

Purpose of the Study:

To introduce and analyze a novel two-axis elliptical-arc-filleted flexure hinge.
To develop analytical compliance equations and closed-form compliance/precision matrices for these hinges.
To validate the models using finite element analysis and investigate design parameter effects.

Main Methods:

Formulation of analytical compliance equations for hinge half-segments.
Application of a generic compliance modeling method for flexure serial chains.
Establishment and validation of closed-form compliance and precision matrices.
Finite element method (FEM) for validation.
Numerical simulations to assess design parameter impacts.

Main Results:

Successful formulation of analytical compliance equations for the novel flexure hinges.
Development of validated closed-form compliance and precision matrices.
Demonstration of the influence of geometric design parameters on hinge performance through simulations.
Introduction of new types of two-axis flexure hinges.

Conclusions:

The proposed elliptical-arc-filleted flexure hinges offer a promising design for advanced compliant mechanisms.
The established analytical models and validated matrices provide a robust framework for predicting hinge behavior.
This research facilitates the optimization of flexure hinge design for specific applications.