Numerical Optimisation of a Classical Stochastic System for Targeted Energy Transfer
Numerical Optimisation of a Classical Stochastic System for Targeted Energy Transfer
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DOI：
10.1016/j.taml.2022.100422
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发表时间：
2022-12
影响因子：
3.4
通讯作者：
O. Gaidai;Yubin Gu;Y. Xing;Junlei Wang;D. Yurchenko
中科院分区：
文献类型：
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作者：
O. Gaidai;Yubin Gu;Y. Xing;Junlei Wang;D. Yurchenko
研究了一个二自由度系统的随机动力学问题，其中一个线性系统连接到一个具有立方刚度非线性和粘性阻尼的非线性能量汇。虽然主要质量受到零均值高斯白色噪声激励，本研究的主要目的是最大限度地提高系统中的目标能量转移的效率。代理优化算法提出了用于此目的，并通过随机框架。分别进行优化的非线性刚度系数单独以及非线性刚度和阻尼系数一起。三种不同的优化成本函数，根据系统的组件的能量或耗散的能量，被认为是。结果表明，非线性能量汇系数的值的一些明显的趋势，并显示不同的成本函数的非线性系统的系数的最优值的效果。
The paper studies stochastic dynamics of a two-degree-of-freedom system, where a primary linear system is connected to a nonlinear energy sink with cubic stiffness nonlinearity and viscous damping. While the primary mass is subjected to a zero-mean Gaussian white noise excitation, the main objective of this study is to maximise the efficiency of the targeted energy transfer in the system. A surrogate optimisation algorithm is proposed for this purpose and adopted for the stochastic framework. The optimisations are conducted separately for the nonlinear stiffness coefficient alone as well as for both the nonlinear stiffness and damping coefficients together. Three different optimisation cost functions, based on either energy of the system’s components or the dissipated energy, are considered. The results demonstrate some clear trends in values of the nonlinear energy sink coefficients and show the effect of different cost functions on the optimal values of the nonlinear system’s coefficients.