On the implementation of the eigenvalue method for limit cycle determination in nonlinear systems

被引：5

作者：

Kienitz, Karl Heinz ^{[1
]}

机构：

[1] German Aerosp Ctr, Inst Robot & Mechatron, D-82230 Wessling, Germany

来源：

NONLINEAR DYNAMICS | 2006年 / 45卷 / 1-2期

关键词：

describing functions; eigenvalues; limit cycles; Lyapunov equation; nonlinear systems; singular values; stability;

D O I：

10.1007/s11071-006-1435-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing functions. Within such an approach, limit cycles can be predicted using the "eigenvalue method" [Somieski, G., Nonlinear Dynamics 26(1), 2001, 3-22]. This contribution presents a novel and advantageous implementation of this method, using singular value instead of eigenvalue calculations, and enhancing computational efficiency by avoiding a so called "frequency iteration".

引用

页码：25 / 30

页数：6

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