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DYNAMIC RESPONSE ANALYSIS OF ROCKING RIGID BLOCKS SUBJECTED TO HALF-SINE PULSE TYPE BASE EXCITATIONS

  • Mutlu Özer
  • G. Füsun Alışverişci
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

The motion of a rocking block subjected to half-sine pulse base excitation is analyzed by the mathematical model of “lumped-mass approximation”. The governing equation of the motion of the rocking block is derived as a second order ODE. The solutions of the derived equation for different size of rocking blocks are illustrated by mat lab figures in terms of displacement, velocity and acceleration responses. The coefficients of the equation of the minimum required overturning acceleration of rocking blocks are obtained, and the overturning instant of the rocking block is investigated through force vibration and free vibration. Parameter studies are also performed to verify the results accordingly to the Housner’s (1963) postulation and to the report of N. Makris (1998) about dynamic response of rocking blocks.

Keywords

Rigid Body Peak Ground Acceleration Force Vibration Inverted Pendulum Acceleration Response 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Housner, G. W. (1963) The behavior of inverted pendulum structures during Earthquakes, Bull. Seism. Soc. Am. 53, 404–417.Google Scholar
  2. Makris, N. R. (1998) Rocking Response and Overturning of Equipment Under Horizontal Pulse-Type Motions, Report PEER-1998/05 Pacific Earthquake Research Center, University of California, Berkeley, USA.Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Mutlu Özer
    • 1
  • G. Füsun Alışverişci
    • 2
  1. 1.School of Engineering1600 Holloway Ave. San Francisco State UniversitySan FranciscoUSA
  2. 2.Yıldız Technical University, Barbaros BulvarıİstanbulTurkey

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