Problem 27

  • Arturo O. Cifuentes

Abstract

Consider the simple beam structure shown in Figure 27.1. The properties of the beam are as follows: E=3x106 psi, v =.3333, and p (mass per unit of volume) = 7x10-4 llb-s2 /in4. The beam is excited by a base acceleration f(t) in the y-direction given in units of in/s2 by
$$ {\rm{f(t) = - }}{e^{{\rm{ - t}}}}\cos (2\pi {\rm{t}}) $$
(27.1)
Determine the forces in the structure and the displacement at the top (relative to the base) produced by this excitation. This is a typical baseexcitation problem, also called an enforced acceleration problem. This class of problems is of considerable interest in earthquake engineering.

Keywords

Torque 

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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Arturo O. Cifuentes
    • 1
  1. 1.The MacNeal-Schwendler CorporationLos AngelesUSA

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