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首页> 外文期刊>Precision Engineering >Spatial force-based non-prismatic beam element for static and dynamic analyses of circular flexure hinges in compliant mechanisms
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Spatial force-based non-prismatic beam element for static and dynamic analyses of circular flexure hinges in compliant mechanisms

机译：基于空间力的非棱镜梁单元，用于顺应机构中的圆形挠曲铰链的静态和动态分析

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摘要

This paper presents a spatial force-based non-prismatic beam element modeling approach for circular flexure hinges, which is capable of accurate and efficient modeling of both static and dynamic characteristics of flexure-based compliant mechanisms. The spatial force-based non-prismatic beam element is an improvement and extension of the existing beam elements by considering shear and torsional effects of circular flexure hinge. The new consistent mass matrix formulation was derived using the Unit Load method. A parallel-guided compliant mechanism was taken as an example to validate the efficiency and accuracy of the proposed approach through static and modal analyses with fewer non-prismatic beam elements, and the results are well agreed with ANSYS simulation results with massive 3D solid or 2D shell elements. The developed approach is also available to model arbitrarily shaped flexure hinges in compliant mechanisms.
机译：本文提出了一种基于空间力的圆形挠性铰链的非棱柱梁单元建模方法，该方法能够对基于挠性的柔顺机构的静态和动态特性进行准确而有效的建模。基于空间力的非棱镜梁单元是通过考虑圆形挠曲铰链的剪切和扭转效应对现有梁单元进行的改进和扩展。使用单位载荷方法得出了新的一致质量矩阵公式。以平行导向顺应机构为例，通过使用较少非棱镜梁单元的静态和模态分析验证了该方法的效率和准确性，并且该结果与带有大量3D实体或2D的ANSYS仿真结果非常吻合外壳元素。开发的方法还可用于在顺应性机构中对任意形状的挠性铰链建模。

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