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中文摘要：
为了减少因制造和使用过程中的不确定性因素而导致的机构性能下降现象,提出一种新的基于基础结构法的柔顺机构可靠性拓扑优化方法。框架单元能够包含弯曲模式,因此采用它的集合来表示设计域。将作用载荷和结构几何尺寸视为随机变量,把机构的失效模式视为应变能和互应变能的串联系统。采用一次可靠度方法计算串联系统的失效概率。建立柔顺机构可靠性拓扑优化设计对偶数学模型,采用对偶算法对优化问题进行迭代求解。数值算例结果表明,提出的方法是正确和有效的;基于可靠性拓扑优化所得机构比确定性拓扑优化所得机构具有更好的性能。
英文摘要：
In order to avoid the degradation of mechanism performance caused by uncertainties in the process of manufacture and use,a new reliability-based topology optimization method for compliant mechanisms using the foundation structure approach is presented.Frame elements are chosen to represent the design domain because they are capable of capturing the bending modes.The applied load and the structural geometry size are considered as random variables,and the failure model of the mechanism is regarded as the series system of strain energy and mutual potential energy.The first-order reliability method is adopted to calculate the failure probability of the series system.The dual mathematical model of reliability-based topology optimization for compliant mechanisms is established,the dual algorithm is used for the optimization problem.The numerical example is simulated to show that the proposed method is correct and effective because it helps to obtain mechanisms with higher reliability than those obtained by the deterministic topology optimization.
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