Author(s)

M. Huang, J. Ma, J. N. Tang & H. Yuan

Abstract

A mixed boundary node method is proposed for analyzing the free vibration of rectangular plates with variable thickness and general boundary conditions. The fundamental differential equations expressed by mixed variables are established and the unknown variables exist only on the partial boundary nodes. The relationship between the variables on the internal nodes and the pointed boundary nodes can be determined through using local regional integration and scanning technology. By utilizing boundary conditions, the discrete solutions for deflection of the plate with a concentrated load and arbitrary variable thickness are obtained and used to establish the eigen-value problem of matrix of the free vibration problem of plate. The convergence and accuracy of the numerical solutions for the natural frequency parameter calculated by the proposed method are investigated. The frequency parameters and their modes of free vibration are shown for some rectangular plates. Keywords: mixed variable, boundary node, free vibration, variable thickness, general boundary condition.

Keywords

mixed variable, boundary node, free vibration, variable thickness, general boundary condition