Forced vibration of bending thick rectangular plates with different boundary conditions under concentrated load
Received:April 10, 2021  Revised:September 20, 2021
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DOI:10.7511/jslx20210410001
KeyWord:theory of thick plates  boundary integral method  the forced vibration  the boundary conditions  numerical calculation  the deflection surface equations
     
AuthorInstitution
陈英杰 燕山大学 建筑工程与力学学院, 秦皇岛 ;河北省土木工程绿色建造与智能运维重点实验室, 秦皇岛
岳星宇 燕山大学 建筑工程与力学学院, 秦皇岛 ;河北省土木工程绿色建造与智能运维重点实验室, 秦皇岛
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Abstract:
      The boundary integral method is used to study the forced vibration of thick rectangular plates under three complex boundary conditions,namely,simply supported on four sides,fixed two opposite sides and simply supported on two opposite sides,and fixed on four sides.The solution process is clear,and the governing equations of forced vibration and the equations of the flexural surface are given.Through numerical calculation on the Matlab platform,the calculation results in the form of charts are obtained,and compared with the finite element simulation results.From the comparison of these results the accuracy of applying the boundary integral method to solve the forced vibration problem of thick rectangular plates and the correctness of the derived governing equations and the flexural surface equations can be seen.It has certain practical significance for various related problems in engineering practice,and provides a new way for solving such problems,which can be directly applied to engineering practice.