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Nonlinear Dynamics Volume 26 Issue 1

Subject Areas: Aerospace Engineering
Publisher: Kluwer Academic Publishers - Springer Journals
ISSN: 0924-090X
SJR: 127

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Journal Article

In memory of Ross M. Evan-Iwanowski October 2, 1914–March 18, 2001

Sinha, Subhash

2004 Nonlinear Dynamics

doi:10.1023/A:1012909125869
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Journal Article

An Eigenvalue Method for Calculation of Stability and Limit Cycles in Nonlinear Systems

Somieski, Gerhard

2004 Nonlinear Dynamics

doi:10.1023/A:1017384211491

In the calculation of periodic oscillations of nonlinear systems –so-called limit cycles – approximative and systematic engineeringmethods of linear system analysis are known. The techniques, working inthe frequency domain, perform a quasi-linearization of the nonlinear system,replacing...
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Journal Article

Hopf Bifurcation and Stability of Periodic Solutions for van der Pol Equation with Distributed Delay

Liao, Xiaofeng; Wong, Kwok-wo; Wu, Zhongfu

2004 Nonlinear Dynamics

doi:10.1023/A:1012927603832

The van der Pol equation with a distributed time delay is analyzed. Itslinear stability is investigated by employing the Routh–Hurwitzcriteria. Moreover, the local asymptotic stability conditions are alsoderived. By using the mean time delay as a bifurcation parameter, themodel is found to...
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Journal Article

A Second-Order Approximation of Multi-Modal Interactions in Externally Excited Circular Cylindrical Shells

Chin, Char-Ming; Nayfeh, Ali

2004 Nonlinear Dynamics

doi:10.1023/A:1012987913909

We investigate the nonlinear response of an infinitely long, circularcylindrical shell to a primary-resonance excitation of one of itsflexural modes, which is involved in a one-to-two internal resonancewith the breathing mode. The excited flexural mode is involved in aone-to-one internal...
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Journal Article

Practical Evaluation of Invariant Measures for the Chaotic Response of a Two-Frequency Excited Mechanical Oscillator

Nichols, J.; Virgin, L.

2004 Nonlinear Dynamics

doi:10.1023/A:1012923517945

This paper presents results which characterize the chaotic response of alow-dimensional mechanical oscillator. An experimental system based on acart rolling on a two-well potential surface has been shown to closelyapproximate a modified form of Duffing's equation. Two-frequency forcingis applied,...
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Journal Article

Nonlinear Vibration of Plane Structures by Finite Element and Incremental Harmonic Balance Method

Chen, S.; Cheung, Y.; Xing, H.

2004 Nonlinear Dynamics

doi:10.1023/A:1012982009727

A nonlinear steady state vibration analysis of a wide class of planestructures is analyzed. Both the finite element method and incrementalharmonic balance method are used. The usual beam element is adopted inwhich the nonlinear effect arising from longitudinal stretching has beentaken into...

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