Advertisement

Gaussian White Noise Excited Elasto-Plastic Oscillator of Several Degrees of Freedom

  • Ove Ditlevsen
  • Søren Randrup-Thomsen
Part of the Solid Mechanics and its Applications book series (SMIA, volume 47)

Abstract

The Slepian model process method has turned out to be a powerful tool to obtain accurate approximations to the long run probability distributions of the plastic displacements of a one degree of freedom linear elastic-ideal plastic oscillator (EPO) subject to stationary Gaussian white noise excitation. The paper extends the method to the simplest EPO of more than one degree of freedom. This EPO contains only a single structural component that can yield. It is experienced by direct response simulation that the loss of the property of slowly varying amplitudes when extending to more that one degree of freedom tends to jeopardize the assumption that the position of the response amplitude at the end of any clump of plastic displacements has practically no influence on the distributional properties of the response just before the start of the next clump of plastic displacements. Therefore the results obtained herein strictly apply to the first clump and not to any clump of plastic displacements. Under this restriction the obtained Slepian model results fit well with the results obtained by direct response simulations. Also it is observed that the restriction gets less importance for decreasing intensity of the white noise excitation.

Keywords

Direct Simulation Vector Process Permanent Displacement White Noise Excitation Shear Connection 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ditlevsen, O. and Bognar. L. (1993) Plastic displacement distributions of the Gaussian white noise excited elasto-plastic oscillator. Probabilistic Engineering Mechanics, 8, 209–231.CrossRefGoogle Scholar
  2. Randrup-Thomsen, S. and Ditlevsen, O. (1995) One-floor building as elasto-plastic oscillator subject to and interacting with Gaussian base motion. Third International Conference on Stochastic Structural Dynamics. San Juan, Puerto Rico, Jan15–18, 1995.Google Scholar
  3. Roberts, J.B. (1980) The yielding behaviour of a randomly excited elasto-plastic struc-ture. J. Sound Vib. 72, 71–85.zbMATHCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996
Kluwer Academic Publishers

Authors and Affiliations

  • Ove Ditlevsen
    • 1
  • Søren Randrup-Thomsen
    • 1
  1. 1.Department of Structural EngineeringTechnical University of DenmarkLyngbyDenmark

Personalised recommendations