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Interaction of Higher Modes in Nonlinear Free Vibration of Stiffened Rectangular Plates

[+] Author Affiliations
Saman Farhangdoust

Polytechnic University of Catalonia, Barcelona, Spain

Davood Younesian

Iran University of Science and Technology, Tehran, Iran

Ebrahim Esmailzadeh

University of Ontario Institute of Technology, Oshawa, ON, Canada

Paper No. DETC2017-68211, pp. V008T12A043; 7 pages
doi:10.1115/DETC2017-68211
From:
  • ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 29th Conference on Mechanical Vibration and Noise
  • Cleveland, Ohio, USA, August 6–9, 2017
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5822-6
  • Copyright © 2017 by ASME

abstract

Nonlinear free vibration analysis of stiffened plates is presented in this paper. The von Karman theory is employed to model the rectangular stiffened steel plate. The first two symmetric and asymmetric modes are taken into consideration and the coupled nonlinear differential equations of system are derived using the Galerkin approach. The Variational Iteration Method (VIM) is considered as the solution technique and an integral iterative formulation is presented to obtain the nonlinear natural frequencies. Subsequently a parametric sensitivity study is carried out and the effect of different initial amplitudes on the frequency responses is investigated.

Copyright © 2017 by ASME

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