Levy-type solution for the analysis of nonuniform plates

S. Y. Lee, S. M. Lin

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)


The Levy-type solution for the static and dynamic response of an elastically restrained rectangular plate, resting on a nonuniform elastic Winkler foundation is presented. Both the flexural rigidity of the plate and the stiffness of the elastic foundation considered are uniform along the y-axis and variable along the x-axis. The static deflection and forced dynamic response of the plate are derived in Green's function form and expressed in terms of the four normalized fundamental solutions of the system. The frequency equation for the free vibration of the system is obtained from letting the denominator of the corresponding Green's function equal zero. If the coefficients of the governing characteristic different equation are in arbitrarily polynomial form, then the exact fundamental solutions in terms of power series can be obtained by the method of Frobenius. Finally, several examples are given to illustrate the analysis and the results are compared with those in the existing literature.

頁(從 - 到)931-939
期刊Computers and Structures
出版狀態Published - 1993 十二月 17

All Science Journal Classification (ASJC) codes

  • 土木與結構工程
  • 建模與模擬
  • 材料科學(全部)
  • 機械工業
  • 電腦科學應用


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