导重法求解柔性机构多目标拓扑优化问题
发布时间：2018-12-21 10:34
【摘要】：柔性机构中为同时考虑结构的刚性和机构的柔性,研究结构整体柔度最小化和结构输出位移最大化的多目标拓扑优化设计方法.建立基于RAMP插值模型的多目标拓扑优化设计模型,采用伴随敏度分析法进行目标函数敏度分析.将导重法引入到柔性机构拓扑优化问题的求解中,推导出柔性机构多目标拓扑优化问题的迭代表达式.对柔性机构的典型算例进行拓扑优化计算,算例结果表明,基于RAMP插值模型结合导重法求解柔性机构多目标拓扑优化问题具有设计变量少、收敛速度快、优化效率高的特点,上述方法的结合为求解柔性机构多目标拓扑优化问题提供了一条新途径.
[Abstract]:In order to consider both the rigidity of the structure and the flexibility of the mechanism, a multi-objective topology optimization method for minimizing the overall flexibility of the structure and maximizing the output displacement of the structure is studied in the flexible mechanism. A multi-objective topology optimization design model based on RAMP interpolation model is established, and the objective function sensitivity analysis is carried out by adjoint sensitivity analysis. The derivative weight method is introduced to solve the topological optimization problem of flexible mechanism, and the iterative expression of multi-objective topology optimization problem of flexible mechanism is derived. The typical example of flexible mechanism is calculated by topology optimization. The results show that the multi-objective topology optimization problem of flexible mechanism based on RAMP interpolation model combined with weight guide method has the characteristics of less design variables, faster convergence speed and higher optimization efficiency. The combination of these methods provides a new approach for solving multi-objective topology optimization problems of flexible mechanisms.
【作者单位】： 兰州理工大学机电工程学;
【基金】：国家自然科学基金(51265025)
【分类号】：TH112
[Abstract]:In order to consider both the rigidity of the structure and the flexibility of the mechanism, a multi-objective topology optimization method for minimizing the overall flexibility of the structure and maximizing the output displacement of the structure is studied in the flexible mechanism. A multi-objective topology optimization design model based on RAMP interpolation model is established, and the objective function sensitivity analysis is carried out by adjoint sensitivity analysis. The derivative weight method is introduced to solve the topological optimization problem of flexible mechanism, and the iterative expression of multi-objective topology optimization problem of flexible mechanism is derived. The typical example of flexible mechanism is calculated by topology optimization. The results show that the multi-objective topology optimization problem of flexible mechanism based on RAMP interpolation model combined with weight guide method has the characteristics of less design variables, faster convergence speed and higher optimization efficiency. The combination of these methods provides a new approach for solving multi-objective topology optimization problems of flexible mechanisms.
【作者单位】： 兰州理工大学机电工程学;
【基金】：国家自然科学基金(51265025)
【分类号】：TH112
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