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Nonlinear Analysis of a Z-Shaped Planar Beam

[+] Author Affiliations
Wei Zhang, Wenhua Hu, Dongxing Cao, Xiaofeng Yang

Beijing University of Technology, Beijing, China

Paper No. DETC2014-34109, pp. V006T10A053; 8 pages
doi:10.1115/DETC2014-34109
From:
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4639-1
  • Copyright © 2014 by ASME

abstract

In this paper, a z-shaped planar inextensible beam with harmonic foundation excitations is considered. The linear frequencies and modes of the beam with various folding angles are obtained through analytical formulations, and validated by numerical simulations. The continuous system is truncated into a system of ordinary differential equations with quadratic nonlinear terms by using the Galerkin method based on the modes obtained under a special folding angle, which may bring about modal interactions. The nonlinearities of the system are researched under the combined resonances, such as primary and internal resonances.

Copyright © 2014 by ASME

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