Nonlinear vibration of Mindlin plate subjected to moving forces including the effect of weight of the plate

Rong Tyai Wang, Nai Yi Kuo

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The large deflection theory of the Mindlin plate and Galerkin's method are employed to examine the static responses of a plate produced by the weight of the plate, and the dynamic responses of the plate caused by the coupling effect of these static responses with a set of moving forces. Results obtained by the large deflection theory are compared with those by the small deflection theory. The results indicate that the effect of weight of the plate increases the modal frequencies of the structure. The deviations of dynamic transverse deflection and of dynamic bending moment produced by a moving concentrated force between the two theories are significant for a thin plate with a large area. Both dynamic transverse deflection and dynamic bending moment obtained by the Mindlin plate theory are greater than those by the classical plate.

Original languageEnglish
Pages (from-to)151-164
Number of pages14
JournalStructural Engineering and Mechanics
Volume8
Issue number2
DOIs
Publication statusPublished - 1999 Aug

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering

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