A Numerical Study of Automated Dynamic Relaxation for Nonlinear Static Tensioned Structures.

Abstract

This research addresses the lack of a robust structural analysis computational procedure for determining the initial equilibrium configuration and prestress state of tensioned structures. Three nonlinear iterative solution algorithms were considered: 1) the Newton algorithm; 2) the modified Newton algorithm; and 3) the automated dynamic relaxation (ADR) algorithm. A large set of small cable test problems was designed to evaluate the robustness of each algorithm. In these test problems, the starting conditions were designed purposely to be onerous to test the ability of the algorithms to seek the correct static equilibrium position form rather arbitrary starting configurations. The ADR algorithm proved to be more robust than the Newton algorithm, and the modified Newton algorithm was entirely unsatisfactory for this class of problems. Keywords: Finite element technology; Nonlinear static solution algorithms; Dynamic relaxation method; Cable systems; Geometric nonlinearity; Structural analysis.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA188372

Entities

People

  • T. A. Shugar

Organizations

  • Naval Facilities Engineering Service Center

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Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mechanics
  • Civil Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Engineering
  • Engineers
  • Environmental Protection
  • Equations Of Motion
  • Finite Element Analysis
  • Materials
  • Mechanics
  • Modulus Of Elasticity
  • Structural Analysis
  • Structural Engineering
  • Structural Loads

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Electrical Engineering
  • Mechanical Engineering/Mechanics of Materials.