Mixed Boundary Node Method For Free
Vibration Analysis Of Rectangular Plates With
Variable Thickness And General Boundary
Conditions
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
Related Book
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