Computational Stochastic Dynamics Based on Orthogonal Expansion of Random Excitations
Abstract eng: A major challenge in stochastic dynamics is to model nonlinear systems subject to general non-Gaussian excitations which are prevalent in realistic engineering problems. In this work, an n-th order convolved orthogonal expansion (COE) method is proposed. For linear vibration systems, the statistics of the output can be directly obtained as the first-order COE about the underlying Gaussian process. The COE method is next verified by its application on a weakly nonlinear oscillator. In dealing with strongly nonlinear dynamics problems, a variational method is presented by formulating a convolution-type Lagrangian and using the COE representation as trial functions.
Contributors:
Publisher:
National Technical University of Athens, 2011
Conference Title:
Conference Title:
COMPDYN 2011 - 3rd International Thematic Conference
Conference Venue:
Island of Corfu (GR)
Conference Dates:
2011-05-25 / 2011-05-28
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
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Record created 2016-11-14, last modified 2016-11-14