Calculation and Analysis of the Rigidity for Parabola-rectangle Flexural Hinges
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摘要: 提出了一种新型抛物线直梁复合型柔性铰链,以卡氏第二定理和微积分的相关知识为基础,推导了其弯曲刚度和拉伸/压缩刚度计算公式。为验证所推导刚度公式的正确性,采用变截面梁单元建立该型柔性铰链的有限元模型进行数值模拟,计算分析该型柔性铰链的刚度。分析抛物线直梁复合型柔性铰链的结构参数对其刚度性能的影响,并与倒圆角直梁型柔性铰链进行比较,结果表明抛物线直梁复合型柔性铰链的转动能力、对载荷的敏感性均次于倒圆角直梁型柔性铰链。
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关键词:
- 抛物线直梁复合型柔性铰链 /
- 倒圆角直梁型柔性铰链 /
- 刚度 /
- 有限元模型
Abstract: In this paper, a novel parabola-rectangle flexural hinges is presented. According to the Castigliano's second theorem and calculus, the design equations for calculating the bending rigidity and stretching or compressing rigidity about the flexural hinges are derived. Based on the beam element with variational cross-section, the finite element model of the flexure hinges is established, and the calculation of the rigidity about the flexural hinges is ac-complished. In order to validate the correctness of design equations for calculating the bending rigidity and stretching or compressing rigidity, the comparison between the analytic and the FEM results is done. The effect of the geometric parameters on the performance of the parabola-rectangle flexural hinges is analyzed, and the comparison with the corner-filleted flexural hinges shows that the compliance and sensitivity to the load of parabola-rectangle flexural hinges are inferior to that of corner-filleted flexural hinges. -
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