A Discrete-Element Analysis for Anisotropic Skew Plates and Grids.

摘要

A discrete-element method of analysis for anisotropic skew-plate-and-grid-beam systems is presented. The method can be used to solve a wide variety of problems. The principal features are: formulation of six elastic stiffnesses and compliances in terms of three moduli of elasticity in any three directions and three Poisson's ratios related to these directions,representation of an anisotropic skew-plate-and-grid system by a discrete-element model consisting of a tridirectional arrangement of rigid bars and elastic joints,formulation of stress-strain and moment-curvature relations for the discrete-element using concepts of a continuum composed of interconnected fibers,derivation of stiffness matrix using equations of statics,and a recursion-inversion procedure to solve the stiffness equations. The method allows free variation in stiffnesses,loads,and supports. Concentrated and distributed loads and supports and external couples in three directions are easily handled,including grid-beams in three directions. A computer program is written to check the formulation. The results compare well with the results from other approximate methods and with experimental data. (Author)