一移两转平板折展柔性铰链的建模及优化

Modeling and optimizing of one-translational and two-rotational LEMs flexure hinge

为提高平板折展机构(LEMs)的灵活性,提出一种一移两转三自由度平板折展柔性铰链.综合考虑各柔性片段的变形特点,设计一移两转平板折展柔性铰链的外形结构;利用等效弹簧模型推导该铰链沿x轴、y轴方向的转动等效刚度及沿x轴方向的移动等效刚度的理论计算模型,并通过设计实例的理论计算结果和仿真分析结果对比,验证刚度计算模型的正确性;探讨各结构参数对3种等效刚度的影响灵敏度;以提高铰链的转动性能和移动性能为目标,构建一移两转平板折展柔性铰链的多目标加权优化模型,并利用基于罚函数的粒子群算法对各结构参数进行优化.结果表明:优化后的一移两转平板折展柔性铰链的各项性能都有较大提升,优化模型具备可行性.

A new one-translational and two-rotational lamina emergent mechanisms(LEMs)flexure hinge with three degrees of freedom was presented in order to increase the flexibility of LEMs.The configuration of one-translational and two-rotational LEMs flexure hinge was designed considering the deformation feature of compliant fragments.The theoretical models of two equivalent rotational stiffness around x-axis and y-axis and one equivalent translational stiffness along x-axis were deducted.By comparing the theoretical calculation results with finite element simulation results of the design example,the validity of the theoretical calculation models was proved.The sensitivy of impact of structural parameters on the three kinds of equivalent stiffness was discussed in detail.In order to enhance the rotational capacity and mobility ability of the one-translational and two-rotational LEMs flexure hinge,a multi-objective optimization model was constructed,and the structural parameters were optimized based on particle swarm algorithm with penalty function.Results show that the properties of the one-translational and tworotational LEMs flexure hinge are improved significantly and the optimization model is feasible.