A Finite-Element Method for Bending Analysis of Layered Structural Systems

摘要

An efficient numerical method of bending analysis for simply connected grid-beam and orthotropic plate-beam layered structural systems is presented. The method relies upon the availability of a high-speed digital computer. The real structure is replaced by a finite-element model of bars and springs. The equations for the two types of systems considered are derived directly from the model to circumvent conventional assumptions of continuity. The model elements are further grouped into individual beams or line members for the three-phase iteration process. An alternating-direction relaxation technique is employed to coordinate the solution of the individual beams. This technique uses certain closure parameters for convergence of sulution which should be based upon the properties of the opposing beams. Eight example problems demonstrate the applicability of the method to various problems, including variable and discontinuous transverse and axial loads, bending stiffness, angular restraints, and support conditions. (Author)