Numerical solution of frequencies of stiffened skew plate on elastic foundation via meshfree method
Received:September 15, 2017  Revised:November 30, 2017
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DOI:10.7511/jslx20170915002
KeyWord:Winkler elastic foundation  MLS  meshfree method  free vibration  stiffened skew plate
           
AuthorInstitution
吴宇 广西大学 土木建筑工程学院, 南宁
覃霞 广西大学 土木建筑工程学院, 南宁
吴天文 广西大学 土木建筑工程学院, 南宁
彭林欣 广西大学 土木建筑工程学院, 南宁 ;广西大学 广西防灾减灾与工程安全重点实验室工程防灾与结构安全教育部重点实验室, 南宁
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Abstract:
      Meshfree method was used to calculate the free vibration behaviors of a ribbed skew plate on a foundation for its efficiency and for providing design information in practical foundation engineering.The displacement field of the skew plate was described by the moving-least square approximation and the first-order shear deformation theory,and then the potential energy functional was established.The contact potential energy between the ribbed plate and the foundation was simulated by Winkler elastic foundation model.The nodal parameter transformation equation was established according to the displacement compatibility condition between the plate and the ribs,and the governing equation for free vibration of the stiffened skew plate on the elastic foundation was derived.A position change of ribs would not require resetting the mesh because of the advantage of the proposed method,and the cost of calculation was reduced.The proposed method was verified by comparing its results with those from the finite element method.