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Nonlinear structural identification by the 'reverse Path' spectral method

机译:通过“反向路径”光谱方法进行非线性结构识别

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摘要

When dealing with nonlinear dynamical systems, it is important to have efficient, accurate and reliable tools for estimating both the linear and nonlinear system parameters from measured data. An approach for nonlinear system identification widely studied in recent years is "Reverse Path". This method is based on broad-band excitation and treats the nonlinear terms as feedback forces acting on an underlying linear system. Parameter estimation is performed in the frequency domain using conventional multiple-input-multiple- output or multiple-input-single-output techniques. This paper presents a generalized approach to apply the method of "Reverse Path" on continuous mechanical systems with multiple nonlinearities. The method requires few spectral calculations and is therefore suitable for use in iterative processes to locate and estimate structural nonlinearities. The proposed method is demonstrated in both simulations and experiments on continuous nonlinear mechanical structures. The results show that the method is effective on both simulated as well as experimental data.
机译:在处理非线性动力学系统时,重要的是要有高效,准确和可靠的工具,以便根据测量数据估算线性和非线性系统参数。近年来广泛研究的非线性系统识别方法是“反向路径”。此方法基于宽带激励,并将非线性项视为作用在基础线性系统上的反馈力。使用常规的多输入多输出或多输入单输出技术在频域中执行参数估计。本文提出了一种通用方法,将“反向路径”方法应用于具有多个非线性的连续机械系统。该方法需要很少的频谱计算,因此适合用于迭代过程中以定位和估计结构非线性。在连续非线性机械结构的仿真和实验中都证明了该方法。结果表明,该方法对模拟和实验数据均有效。

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