Random Vibration of Thin Elastic Plates and Shallow Shells

Abstract

The large amplitude vibrations of thin elastic plates and shallow shells having boundary conditions and subjected to random excitation are investigated by using various approximate techniques. The random vibrations of rectangular plates and circular plates subjected to white random excitation are simulated numerically by two different methods. The first method is that the governing equations are reduced to a single-degree-of-freedom dynamical system and the reduced equation is then integrated numerically by the Runge-Kutta method employing the simulated approximate white noise as an input. The second method consists in integrating the equation of motion and the compatibility equation numerically by a finite-difference method employing the simulated approximate white noise as an input.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0739976

Entities

People

  • Hidekichi Kanematsu
  • W. A. Nash

Organizations

  • University of Massachusetts Amherst

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aspect Ratio
  • Bending Moments
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Fokker Planck Equations
  • Linear Systems
  • Modulus Of Elasticity
  • Nonlinear Systems
  • Partial Differential Equations
  • Plastic Explosives
  • Probability
  • Runge Kutta Method
  • Steady State
  • Step Functions
  • Time Intervals

Fields of Study

  • Engineering
  • Physics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.