Numerical Analysis of Elastic Plates and Shallow Shells by an Integral Equation Method

摘要

A numerical method for the analysis of elastic plates and shallow shells is developed. The static boundary value problems are formulated in terms of integral equations by use of the reciprocal relationships between the actual state of stress and certain singular ones resulting from point loads on a plate. Quadrature techniques are developed to approximate the singular integral equations by a set of algebraic equations in the unknown boundary quantities at selected points. The stress resultants and displacements at interior points are computed directly from the boundary values. Results obtained for several plate and shallow shell problems by the approximate method are in excellent agreement with the exact solutions. (Author)