Abstract
A new approach for solution of Stochastic structural Mechanics problem with random coefficient in the framework of Polynomial Chaos (PC) expansion is proposed. The basic strategy of the proposed method is to iteratively construct a PC expansion with reduced numbers of unknown coefficients. The method is based on orthogonal expansion of stochastic responses and generation of an iterative PC based on the responses of the previous iteration. The polynomials are evaluated using Gram-Schmidt orthogonalization process. The number of random variables in PC expansion is reduced by considering only the dominant components of the response characteristics, which is evaluated using Karhunen-Loève (KL) expansion. In case of random material field problem, KL expansion is used to discretize the random field. The usefulness of the proposed method in terms of accuracy and computational efficiency is examined. The results of linear static structural mechanics problems are compared with MCS and PC method. The proposed method is observed to be computationally more efficient and accurate than PC method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
