Direct Time Integration Methods in Nonlinear Structural Dynamics

Abstract

This paper reviews some recent developments in direct time integration methods for nonlinear structrual dynamics. The developments pertain to the use of linear multistep difference operators in conjunction with the pseudo-force approach. The paper is organized into three main sections. An introductory section provides an overview of the transient response analysis problem. A section on computational aspects deals with the organization of the numerical calculations; this material is largely based on a recent detailed study of linear dynamic calculations. A section on integration methods highlights algorithmic aspects that impact the selection of integrator for nonlinear problems and discusses adaptive analysis features such as stepsize control and implicit matrix scaling techniques. An appendix section outlines the functional organization of modular 'integration driving' software.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA060410

Entities

People

  • C. A. Felippa
  • K. C. Park

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Application Software
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Databases
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Materials
  • Materials Processing
  • Mechanics
  • Nonlinear Dynamics
  • Plastic Explosives
  • Structural Mechanics
  • Transient Response Analysis

Readers

  • Business Analytics
  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)