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On material selection for topology optimized compliant mechanisms
Mechanism and Machine Theory ( IF 5.2 ) Pub Date : 2021-08-18 , DOI: 10.1016/j.mechmachtheory.2021.104474
Johannes Achleitner 1, 2 , Erich Wehrle 1
Affiliation  

Although compliant mechanism design is a thoroughly studied field, surprisingly little information can be found in literature regarding selection of optimal materials. This paper is intended to fill this gap. Density-based, geometrically robust, stress constrained topology optimization based on a total Lagrangian FEM formulation is used for investigation of a compliant inverter and a compliant gripper example. Changes in handling of the projection parameters and the stress constraints are proposed for improved algorithmic stability and accurate representation of the stresses and material stiffness in topology optimization. Large-scale optimization studies are carried out, varying elastic modulus and allowable stress in a wide range. A comparison with an Ashby chart shows the characteristics of the best suited material. It is shown, that an optimal Young’s modulus and a minimum required material strength (depending on the modulus) can be identified from the results. Altering critical optimization parameters, e.g. allowable volume fraction and the minimum length scale, their influence on the optimal material choice is investigated. Guidelines for compliant mechanism designers for efficient selection of suited materials are developed.



中文翻译:

拓扑优化顺从机制的材料选择

虽然顺从机制设计是一个深入研究的领域,但令人惊讶的是,在文献中关于最佳材料选择的信息很少。本文旨在填补这一空白。基于总拉格朗日 FEM 公式的基于密度、几何稳健、应力约束的拓扑优化用于研究顺应逆变器和顺应夹具示例。建议对投影参数和应力约束的处理进行更改,以提高算法稳定性以及拓扑优化中应力和材料刚度的准确表示。进行了大规模的优化研究,在很宽的范围内改变弹性模量和许用应力。与阿什比图表的比较显示了最适合材料的特性。它显示,可以从结果中确定最佳杨氏模量和最小所需材料强度(取决于模量)。改变关键的优化参数,例如允许的体积分数和最小长度尺度,研究了它们对最佳材料选择的影响。为合规机构设计者制定了有效选择合适材料的指南。

更新日期:2021-08-19
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