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Non-linear analysis of skew thin plate by finite difference method
Chi-Kyung Kim* and Myung-Hwan Hwang
The Journal of Mechanical Science and Technology, vol. 26, no. 4, pp.1127-1132, 2012
Abstract : This paper deals with a discrete analysis capability for predicting the geometrically nonlinear behavior of skew thin plate subjected to
uniform pressure. The differential equations are discretized by means of the finite difference method which are used to determine the
deflections and the in-plane stress functions of plates and reduced to several sets of linear algebraic simultaneous equations. For the geometrically
non-linear, large deflection behavior of the plate, the non-linear plate theory is used for the analysis. An iterative scheme is
employed to solve these quasi-linear algebraic equations. Several problems are solved which illustrate the potential of the method for
predicting the finite deflection and stress. For increasing lateral pressures, the maximum principal tensile stress occurs at the center of the
plate and migrates toward the corners as the load increases. It was deemed important to describe the locations of the maximum principal
tensile stress as it occurs. The load-deflection relations and the maximum bending and membrane stresses for each case are presented and
discussed.
Keyword : Skew thin plate; Non-linear solution; Finite difference method; Iteration procedure; Membrane stress |
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