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Periodicity in the response of nonlinear plate, under moving mass

Shadnam, M. R ; Sharif University of Technology | 2002

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  1. Type of Document: Article
  2. DOI: 10.1016/S0263-8231(01)00041-6
  3. Publisher: 2002
  4. Abstract:
  5. The dynamics of nonlinear thin plates under influence of relatively heavy moving masses is considered. By expansion of the solution as a series of mode functions, the governing equations of motion are reduced to an ordinary differential equation for time development of vibration amplitude, which is Duffing's oscillator with time varying coefficients. Through the application of Banach's fixed-point theorem, the periodic solutions are predicted. The method presented in this paper is general so that the response of plate to moving force systems can also be considered. © 2002 Published by Elsevier Science Ltd
  6. Keywords:
  7. Large deformation ; Moving loads ; Non-uniform elastic foundation ; Nonlinear elastic foundation ; Parimetrically exited system ; Vibration of continuous structures
  8. Source: Thin-Walled Structures ; Volume 40, Issue 3 , 2002 , Pages 283-295 ; 02638231 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0263823101000416