Stability of similar nonlinear normal modes under random excitation

被引：2

作者：

Mikhlin, Y., V ^{[1
]}

Rudnyeva, G., V ^{[1
]}

机构：

[1] Natl Tech Univ KhPI, Dept Appl Math, Kharkiv, Ukraine

来源：

NONLINEAR DYNAMICS | 2021年 / 103卷 / 04期

关键词：

Nonlinear normal modes; Stochastic excitation; Lyapunov stability definition; OSCILLATOR;

D O I：

10.1007/s11071-020-06093-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Two-DOF nonlinear system under stochastic excitation is considered. It is assumed that the system allows from two up to four nonlinear normal modes (NNMs) with rectilinear trajectories in the system configuration space. Influence of the random excitation to the NNMs stability is analyzed by using the analytical-numerical test, which is an implication of the well-known stability definition by Lyapunov. Boundary of the stability/instability regions is obtained in plane of the system parameters. Stability of the NNMs under deterministic chaos excitation is also considered.

引用

页码：3407 / 3415

页数：9

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