Loading...

Vibration of Circular and Annular Plates Resting on Pasternak Foundation with a Variable Modulus, Subjected to a Moving Mass

Rezvani Alileh, Mohsen | 2021

576 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54059 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Mofid, Massood; Foyouzat, Mohammad Ali
  7. Abstract:
  8. This thesis aims to study the dynamic behavior of circular and annular plates. First, free vibration of the plate, resting on a Pasternak foundation with a variable subgrade modulus, by using the infinite power series method is presented. The proposed method applies to various boundary conditions with no restriction. A comprehensive study is carried out to investigate the effects of the different parameters on the behavior of the plate. The obtained results demonstrate that the Pasternak foundation has a significant influence on the natural frequencies and greatly increases them. Secondly, the dynamic response of thin and moderately thick plates subjected to a moving load is considered. In this regard, to provide deep insight, the effects of ignoring the inertia of moving load, the convective acceleration component, moving mass weight, foundation terms, velocity of moving load, shear deformation, and resonant phenomenon through a parametric study are investigated. The results indicate that neglecting the inertia of a moving load, for a relatively large mass, leads to a considerable error in the response of plates. Moreover, the results also reveal that by considering only the vertical acceleration components of an orbiting moving load the response is only affected in the frequencies near to the resonant frequencies; however, they illustrate the same frequencies for the resonant excitation frequencies of a moving load. Furthermore, considering shear deformation shows that, for moderately thick plates, there is an obvious difference between the results of the classical plate theory and the first-order shear deformation theory, which demonstrates that the classical plate theory underestimates the plate’s response. Lastly, the dynamic response of a thin plate traversed by a moving oscillator is also studied and comparative examples are carried out to see the differences between the moving oscillator, mass, and force methods
  9. Keywords:
  10. Circular Plate ; Moving Oscillator ; Moving Mass Load ; Shear Deformation ; Free Vibration ; Pasternak Fundation ; Annular Plate ; Variable-Modulus Pasternak Foundation

 Digital Object List

 Bookmark

No TOC