Dynamic characteristics analysis method of complex systems based on nonlinear mode

被引：0
|
作者：
Huang X. [1 ]
Liu J. [2 ]
Li L. [3 ]
机构：
[1] L'école Centrale de Pékin, Beihang University, Beijing
[2] China Academy of Launch Vehicle Technology, Beijing
[3] School of Energy and Power Engineering, Beihang University, Beijing
来源：
Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics | 2019年 / 45卷 / 07期
关键词：
Dry friction; Duffing; Mode synthesis; Nonlinear material; Nonlinear modal analysis; Reduced model;
D O I：
10.13700/j.bh.1001-5965.2018.0643
中图分类号：
学科分类号：
摘要：
Nonlinear problem has always been an obstacle in dynamic analysis domain due to its complexity and high computational cost. This paper aims to present a simple, accurate and efficient nonlinear modal analysis method which can be applied to some common nonlinear systems, including Duffing system, dry friction, nonlinear material and so on. The kernel technique of this numerical method lies in establishing the variation law of the nonlinear modal parameters in function of modal amplitude: on the one hand, the steady-state problem is simplified into one-dimensional algebraic nonlinear problem, resulting in a significant simplification in numerical computation; on the other hand, the analysis of nonlinear modal parameters in function of modal amplitude provides a modal overview for the comprehension of system's nonlinear dynamic behavior. Following a description of the theoretical aspects and numerical simulation process of this method, it has been proven to be efficient in analyzing a Duffing system with real nonlinear mode, a dry friction system with complex nonlinear mode and a multi-physics system integrating piezoelectric material. A reduction method based on the proposed strategy is then presented, which is simple in mathematical form and efficient in numerical computations for analyzing large complex nonlinear systems. It has significant advantages in computational efficiency when combined with the mode synthesis method to solve the dynamic behavior of large complex nonlinear systems. © 2019, Editorial Board of JBUAA. All right reserved.
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页码：1337 / 1348
页数：11
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