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The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

  • Published:2015-11 Issue: Volume:296 Page:18-38
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Detroux T.,Renson L.,Masset L.,Kerschen G.

Funder

European Union

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference82 articles.

1. Analysis of periodically excited non-linear systems by a parametric continuation technique;Padmanabhan;J. Sound Vib.,1995

2. Numerical computation of periodic responses of nonlinear large-scale systems by shooting method;Stoykov;Comput. Math. Appl.,2014

3. Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques;Peeters;Mech. Syst. Signal Process.,2009

4. AUTO97: Continuation and bifurcation software for ordinary differential equations (with homcont);Doedel,1997

5. A collocation solver for mixed order systems of boundary value problems;Ascher;Math. Comp.,1979

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