Displacement boundary method for orthotropic plates G. Davi, A. Milazzo Dipartimento diMeccanica e Aeronautica Vide delle Scienze - 90128 Palermo -Italy E-mail: davi@unipa . it Abstract An alternative boundary element approach, called Displacement Boundary Method, for orthotropic plate analysis is presented. The governing equations of the problem are obtained from a variational principle in which a modified hybrid functional is used. The independent variables are the generalised displacements and generalised tractions on the boundary and the lateral deflection in the domain. A superposition of regular, static fundamental solutions is used for the approximation of displacements in the domain whereas shape functions and nodal values are employed to model the boundary variables, i.e.displacements and tractions. The stiffness matrix preserves the symmetry and definiteness properties of the continuum. It involves integrals of regular kernels only in its definition and is numerically computed by running integrations over the boundary only. The final resolving system is solved with the classical approach using standard numerical procedures. Some applications were worked out and the results were found to be in very good agreement with those obtained using other solution techniques. 1. Introduction The problem of orthotropic plates has been widely investigated by many authors who employed different techniques to describe and determine the elastic response under various loading conditions. For the plate problem both numerical and analytical solutions are available in the literature. The exact analytical solutions are generally given in terms of the Navier series*' * whereas numerical solutions are obtained using the finite element method^' * and the boundary element method*"*. In the boundary element approaches proposed the fundamental Transactions on Modelling and Simulation vol 24, © 1999 WIT Press, www.witpress.com, ISSN 1743-355X
Displacement boundary method for orthotropic plates
Jun 15, 2023
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