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Response of the beams on random Pasternak foundations subjected to harmonic moving loads

Younesian, D ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1007/s12206-009-0816-3
  3. Publisher: 2010
  4. Abstract:
  5. Dynamic response of infinite beams supported by random viscoelastic Pasternak foundation subjected to harmonic moving loads is studied. Vertical stiffness in the support is assumed to follow a stochastic homogeneous field consisting of a small random variation around a deterministic mean value. By employing the first order perturbation theory and calculating appropriate Green's functions, the variance of the deflection and bending moment are obtained analytically in integral forms. To simulate the induced uncertainty, two practical cases of cosine and exponential covariance are utilized. A frequency analysis is performed and influences of the correlation length of the stiffness variation on the beam responses are investigated. It is found that in each frequency response there is a peak value of frequency, which behaves as a decreasing function of the correlation length. Among two coefficient of variation of the beam deflection and the bending moment, the former is higher in the case of exponential covariance and it is independent of the magnification of the correlation length
  6. Keywords:
  7. Timoshenko beam ; Beam deflection ; Coefficient of variation ; Correlation lengths ; Decreasing functions ; First order perturbation theory ; Frequency Analysis ; Harmonic moving load ; Homogeneous field ; Infinite beams ; Integral form ; Mean values ; Moving load ; Pasternak foundation ; Peak values ; Random variation ; Random vibrations ; Stiffness variations ; Timoshenko beams ; Vertical stiffness ; Viscoelastic foundation ; Bending (deformation) ; Bending moments ; Frequency response ; Green's function ; Particle beams ; Perturbation techniques ; Soil structure interactions ; Stiffness ; Dynamic response
  8. Source: Journal of Mechanical Science and Technology ; Volume 23, Issue 11 , 2010 , Pages 3013-3023 ; 1738494X (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs12206-009-0816-3