A simple finite element procedure for free vibration of rectangular thin and thick plates

作者：

Highlights：

• A new finite element procedure is introduced, developed and formulated.

• The proposed FEM reduces a 2D problem to two simple 1D problems.

• Application of the method is shown through the solution of some plate problems.

• The formulation of the proposed FEM is much easier than that of the conventional FEM.

• The proposed method is general and can be extended various 2D and 3D problems.

摘要

•A new finite element procedure is introduced, developed and formulated.•The proposed FEM reduces a 2D problem to two simple 1D problems.•Application of the method is shown through the solution of some plate problems.•The formulation of the proposed FEM is much easier than that of the conventional FEM.•The proposed method is general and can be extended various 2D and 3D problems.

论文关键词：Finite element method (FEM),Beam problem,One-dimensional FEM,Free vibration analysis,Rectangular plates,Thin plates,Thick plates

论文评审过程：Received 12 May 2020, Revised 30 November 2020, Accepted 11 February 2021, Available online 26 February 2021, Version of Record 26 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126104