TRANAL User's Guide, Part 1. (Small Strain, Small Displacement Version)

摘要

TRANAL (Transient nonlinear analysis) is a system of computer programs for doing nonlinear three-dimensional structure-medium interaction calculations. This report describes the small strain, small displacement version of TRANAL; the large strain, large displacement version is described in a separate report. Theoretical background, input data, program organization, graphics capability, data management and sample problems are discussed in sufficient detail that a new user should be able to set up and run a calculation. TRANAL is based on a finite element approach for the development of the discrete form of the equations of motion and an eight-moded isoparametric element is used to represent the continuum. Material behavior is represented by the cap model, which is based on classical elastic, nonideal plasticity theory with an associated flow rule. An explicit time integration scheme is used, and a special integration technique, called 'subcycling', permits the use of different size time steps in different elements, thereby reducing computation time considerably. Due to their complexity, transient nonlinear 3-D calculations generally require relatively large computational capability. Hence, this version of TRANAL has been written primarily for the CDC 7600 (although it is operational on several other CDC systems, including a 6600, a CYBER/175 and a CYBER/176, and could be transferred to other large computer systems).