Topology optimization of large-scale structures subjected to stationary random excitation: An efficient optimization procedure integrating pseudo excitation method and mode acceleration method
Topology optimization of large-scale structures subjected to stationary random excitation: An efficient optimization procedure integrating pseudo excitation method and mode acceleration method
复制标题
稳态随机激励下大型结构的拓扑优化：一种集成伪激励法和模态加速法的高效优化程序
DOI：
10.1016/j.compstruc.2015.05.027
复制
发表时间：
2015
影响因子：
4.7
通讯作者：
Gao T
中科院分区：
文献类型：
--
作者：
Zhang WH;Liu H;Gao T
研究了静态随机力激励下结构动力响应的拓扑优化问题。结果表明，在以往的优化工作中，常用的完全二次组合法（CQC）不仅计算量大，而且由于大规模问题随机响应的计算精度较低，导致设计模式不收敛。为了克服这些困难，将伪激励法（PEM）和模态加速法（MAM）集成到动态拓扑优化中，提出了一种高效准确的优化方法。在这个框架中，随机响应计算使用PEM，以确定在CQC的高效率。更重要的是，通过借助MAM求解PEM中的伪谐波响应，间接提高了随机响应的准确性。数值算例充分证明了所建立的优化方法的有效性及其在实际设计中的应用潜力。
Structural topology optimization related to dynamic responses under stationary random force excitation is investigated in this paper. It is shown that the commonly used Complete Quadratic Combination method (CQC) in previous optimization work is not only computationally expensive but also results in non-convergent design pattern due to the low computing accuracy of random responses for large-scale problems. To circumvent these difficulties, an efficient and accurate optimization procedure integrating the Pseudo Excitation Method (PEM) and Mode Acceleration Method (MAM) is introduced into the dynamic topology optimization. In this framework, random responses are calculated using the PEM to ascertain a high efficiency over the CQC. More importantly, the accuracy of random responses is improved indirectly by solving the pseudo harmonic responses involved in the PEM with the help of the MAM. Numerical examples fully demonstrate the validity of the developed optimization procedure and its potential applications in practical designs.