稳态随机激励下结构阻尼系统的拓扑优化方法

A Topology Optimization Method for Structural Damped Systems Subjected to Stationary Random Excitations

该文对稳态随机激励下结构阻尼系统的拓扑优化问题进行了研究,提出了一种基于虚拟激励法的拓扑优化方法.该方法中,自适应地确定用于模态叠加的低阶模态的数量.未知高阶模态的贡献由迭代算法近似得到.由于该方法可以提供结构响应解的近似显示表达式,不仅可以增强灵活性,还可提高计算效率.文中给出了数值算例,从计算精度和效率两个方面证实了该方案的有效性.

The research focuses on the topology optimization of structural damping systems under stationary random excitation.A topology optimization method based on pseudo excitation method is proposed.In this method,the number of low order modes used for mode superposition is adaptively determined.The contribution of unknown high order modes is approximated by an iterative algorithm.As it can provide approximate expressions of structural response solutions,this method not only enhances flexibility but also improves computational efficiency.Numerical examples were provided in the article,which confirms the effectiveness of this scheme from two aspects:computational accuracy and efficiency.