chapter  7
14 Pages

Plate on a Generalized Elastic Foundation

If the plate occupying the region S x [—ha/2,ho/2] lies on a gen­ eralized elastic foundation, then the equilibrium equation (1.3) is replaced by

where K — (k ij) is a constant, symmetric, positive definite (3 x 3)- matrix. Applying the averaging procedure described in §1.1, we ar­ rive at

Clearly, JC and /C are positive definite. For simplicity, here we restrict our attention to only two boundary

value problems; the corresponding theory can easily be developed for all the boundary value problems considered in the preceding chapters.