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| Spectral stochastic element-free Galerkin method for laminated composite plates |
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Abstract A spectral stochastic element-free Galerkin method is proposed to solve the stochastic structural problems with parameters having big changes, which can not be solved by the methods based on the perturbation theory. Based on the orthogonal decomposition theory of random fields, this method applied the Karhunen-Loève series to expand a random field into a series of uncorrelated random variables. A spectral expansion with use of polynomial chaos is employed to represent the stochastic nodal displacements in terms of standard normal random variables. The spectral stochastic element-free Galerkin method of the composite laminated plates with random variables was derived, with the computational formulas of the statistical characteristics of structural responses being given. This method will not be subject to the size constraints of the coefficient of variation and have an advantage of the element-free Galerkin method. Numerical results show that the method is correct and effective.
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Received: 13 November 2012
Published: 28 February 2014
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2014, Vol. 35 
