Beams with A Varying Cross Section in the Generalized Strain Formulation for Flexure Modelling

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2022-12-16 DOI:10.1115/1.4056482

K. Dwarshuis, R. Aarts, M. Ellenbroek, D. Brouwer

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引用次数: 0

Abstract

Flexure joints are rapidly gaining ground in precision engineering because of their predictable behavior. However their range of motion is limited due to a stress limitation and a loss of support stiffness in deformed configurations. The support stiffness can be significantly increased by using leafsprings of which the width and thickness vary over the length of the leafspring. This paper presents formulations for two beam elements with a varying cross section that can be used for the efficient modelling of these types of leafsprings. One of these beam-formulations includes the modelling of the warping due to torsion, which is shown to be essential for accurate modelling. The 90% accuracy in stiffness results and 80% accuracy in stress results, in comparison with results of finite element analyses, are sufficient for the evaluation of concept-designs. Optimizations shows that the support stiffness of two typical flexure joints can be increased by a factor of up to 4.0 keeping the same range of motion, by allowing the cross section to vary over the length of the leafspring. In these two flexure joints, 98% of this improvement can already be obtained by only varying the thickness, keeping a constant width.

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变截面梁挠曲模型的广义应变公式

柔性关节由于其可预测的性能，在精密工程中迅速占有一席之地。然而，由于应力限制和变形结构中支撑刚度的损失，它们的运动范围受到限制。采用宽度和厚度随叶弹簧长度变化的叶弹簧，可以显著提高支撑刚度。本文提出了具有不同截面的两个梁单元的公式，可用于这些类型的叶弹簧的有效建模。其中一种梁公式包括由于扭转引起的翘曲的建模，这被证明是准确建模所必需的。与有限元分析结果相比，刚度结果的90%精度和应力结果的80%精度足以对概念设计进行评估。优化表明，通过允许横截面随叶弹簧长度变化，两个典型弯曲关节的支撑刚度可以增加高达4.0倍，以保持相同的运动范围。在这两个柔性节点中，仅通过改变厚度，保持宽度不变，就可以获得98%的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.