Affiliation:
1. Zhejiang University of Technology
Abstract
A simple and efficient spline integral equation method is presented in this paper for the
axisymmetrical bending of circular plates with large deflection. Based on two second-order
differential equations in terms of the slope of the deflection surface and the radial displacement of
the circular plate, two integral equations are derived. The circular plate is then equidistantly divided
into a circular plate element and a series of annular plate elements along its radial direction and the
slope of the deflection surface and the radial displacement are both approximated by cubic spline
interpolation. The two integral equations are solved numerically and the displacements and internal
forces at any point within the circular plate can be obtained. Finally, some numerical results are
presented for illustrating the validity of the proposed method. It can be concluded that the proposed
numerical method can be used to analyze circular plates with large deflection with reasonable
accuracy.
Publisher
Trans Tech Publications, Ltd.
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science
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