Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations
Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations
复制标题
使用一般状态空间表示建模的分段线性非线性系统的稳态动力学的有效分析
DOI：
10.1115/1.4054152
复制
发表时间：
2022
影响因子：
2
通讯作者：
D'Souza, Kiran
中科院分区：
文献类型：
--
作者：
Tien, Meng-Hsuan;Lu, Ming-Fu;D'Souza, Kiran
本文提出了一种参数化研究分段线性非光滑振子稳态动力学的新方法。该方法可作为分析分段线性非线性动力系统非线性行为的有效计算工具。新技术修改和推广的双线性振幅近似方法，这是为分析比例阻尼结构系统，更一般的系统由状态空间模型，因此，该方法的适用性扩展到许多工程学科。新方法利用非光滑振子的线性子系统的解析解，并使用数值优化工具来构造振子的非线性周期响应。在这项工作中，该方法进行了验证，数值和实验。所提出的计算框架上的机械振荡器与接触元件和模拟电路与非线性电阻，以显示其广泛的适用性。
In this paper, a new technique is presented for parametrically studying the steady-state dynamics of piecewise-linear nonsmooth oscillators. This new method can be used as an efficient computational tool for analyzing the nonlinear behavior of dynamic systems with piecewise-linear nonlinearity. The new technique modifies and generalizes the bilinear amplitude approximation method, which was created for analyzing proportionally damped structural systems, to more general systems governed by state-space models; thus, the applicability of the method is expanded to many engineering disciplines. The new method utilizes the analytical solutions of the linear subsystems of the nonsmooth oscillators and uses a numerical optimization tool to construct the nonlinear periodic response of the oscillators. The method is validated both numerically and experimentally in this work. The proposed computational framework is demonstrated on a mechanical oscillator with contacting elements and an analog circuit with nonlinear resistance to show its broad applicability.