STUDIES OF RESPONSE OF ARCHES AND DOMES UNDER DYNAMIC LOADS

Abstract

The accuracy of an approximate design method for arches subjected to dynamic loads is evaluated by comparing the predictions of this method with the exact solutions. Primary emphasis is placed on the effects of loads which are uniformly distributed around the arch. The response of circular elastic arches under a moving pressure pulse is investigated by the modal method of analysis. Various combinations of natural modes are considered, and the combination of the smallest number of modes which satisfactorily approximates the exact solution is determined. It is concluded that good approximation to the true response can be obtained by considering the contributions of the first antisymmetrical and the first two symmetrical natural modes of vibration. A derivation is presented of an approximate theory for the dynamic response of spherical shells loaded unsymmetrically by time-varying pressures. Non-linear effects are considered so that the resulting equations reflect the buckling tendencies associated with large-deflection behavior.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1961
Accession Number
AD0276290

Entities

People

  • R. L. Jennings
  • S. Iyengar
  • Tong Huang

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Bending Moments
  • Buckling
  • Civil Engineering
  • Deflection
  • Dynamic Loads
  • Dynamic Response
  • Elastic Properties
  • Equations
  • Geometry
  • Lepidoptera
  • Modal Analysis
  • Modulus Of Elasticity
  • New Mexico
  • Resonant Frequency
  • Vibration

Readers

  • Structural Dynamics.