Abstract This paper presents a new method for topology optimization of compliant mechanisms considering actual output displacement. The optimization problem is reformulated by maximizing the output displacement with artificial springs meanwhile optimizing the actual output displacement without artificial springs to the prescribed value. A method of adaptive output spring stiffness is developed for automatic adjustment of output spring stiffness according to the prescribed actual output displacement. The multi-objective design problem is converted into a single-objective problem using the weighted-sum method and a weighting factor with adaptive adjustment is presented. This method is implemented based on the SIMP (Solid Isotropic Material with Penalization) formulation and the design problem is solved by the MMA (Method of Moving Asymptotes) optimization algorithm on the basis of the sensitivity analysis. Numerous numerical examples are applied to illustrate the effectiveness of the presented method.

中文翻译：

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考虑实际输出位移的柔顺机构拓扑优化使用自适应输出弹簧刚度

摘要 本文提出了一种考虑实际输出位移的柔顺机构拓扑优化新方法。优化问题通过使用人造弹簧最大化输出位移同时将没有人造弹簧的实际输出位移优化到规定值来重新表述。开发了一种自适应输出弹簧刚度的方法，用于根据规定的实际输出位移自动调整输出弹簧刚度。多目标设计问题采用加权求和法转化为单目标问题，并提出自适应调整的加权因子。该方法基于SIMP（带惩罚的固体各向同性材料）公式实现，设计问题通过基于灵敏度分析的MMA（移动渐近线方法）优化算法解决。大量的数值例子被用来说明所提出方法的有效性。