Critical Loads of Uniformly Compressed Orthotropic Rectangular Plate on an Elastic Base

Introduction. The problem of critical loads a compressed orthotropic rectangular plate on an elastic base was considered. following orthotropy parameters were set for the plate: Poisson coefficients, Young's modules main directions, and shear modulus material. components compressive load uniformly distributed along two opposite edges acted parallel to coordinate axes. loosely pinched or pivotally supported. Cases also considered when free from loads, other freely Materials Methods. studied basis system nonlinear Kármán-type equilibrium equations. values parameter determined linearized based trivial solution. At same time, variational method in combination with finite difference used solve boundary eigenvalue problem. Results. reduced solving parametric linear In case conditions movable hinge support, exact formulas eigenvalues eigenfunctions given. While edge pinching, finite-difference method, computer program built. It established that one expressing deflection could correspond value at which stability lost. results numerical calculations different presented, graphs corresponding forms constructed. For long base, it term asymptotic expansion solution beam coincides longitudinal direction. Discussion Conclusions. directions lying investigated. As component increased direction, compressing direction decreased. If by corresponded greater bending stiffness, then loss than acting lesser stiffness. presence foundation bearing capacity plate.