Abstract
This work is aimed at developing an efficient computational method for response analysis of a linear vibrating system with uncertainties in mass and stiffness properties and external force. The uncertain parameters are modeled as random quantities—random variables, vectors, and processes, to be specific. The random processes are required to be approximated by a finite set of random variables for computational purpose. In this work the spectral stochastic finite element method (SSFEM) is used for uncertainty propagation. In this method the random quantity of interest is expressed in a series expansion of random orthogonal polynomials, known as polynomial chaos expansion (PCE). The coefficients of this expansion—which are deterministic—are then estimated via a Galerkin projection. First, a random eigenvalue problem is solved—which results from the eigenvalue problem involved in finding the natural frequencies and modal vectors of a linearly vibrating system. Then, solutions of this random eigenvalue problem are used to predict the response of the system. Comparison with a Monte Carlo simulation is done for accuracy and computational speed.
Published Version
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.
