Dynamic Analysis of Frame and Plate Structures with Geometric and Material Nonlinearities

Abstract

The objective of this study was the development of a procedure for determining the large dynamic response of structural systems consisting of beam and rectangular plate elements. The analysis takes into account both geometrical and material nonlinearities. The general approach to the problem is based on the finite element method and the use of displacement interpolation functions. The strain energy expressions for both the beam and plate elements are obtained and are used to generate the stiffness and mass matrices of the elements. Also, the geometric stiffness matrices are derived which account for the effect of geometric nonlinearities. Plastic deformations are taken into account by means of an incremental theory of plasticity coupled with the concept of initial strain.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1973
Accession Number
AD0762008

Entities

People

  • David W Taylor
  • Theodore G. Toridis

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computer Programs
  • Dynamic Loads
  • Dynamic Response
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Frequency
  • Modulus Of Elasticity
  • Numerical Analysis
  • Plastic Deformation
  • Plastic Properties
  • Shear Modulus
  • Stiffness
  • Stress Strain Relations
  • Stresses
  • Three Dimensional
  • Time Intervals

Fields of Study

  • Engineering

Readers

  • Structural Dynamics.