Component mode synthesis and stochastic perturbation method for dynamic analysis of large linear finite element with uncertain parameters

• Published in: Journal of Mechanical Engineering and Sciences Vol. 14; no. 2; pp. 6753 - 6769
• Main Authors: Lamrhari, D., Sarsri, D., Rahmoune, M.
• Format: Journal Article
• Language: English
• Published: Pekan Universiti Malaysia Pahang 01.06.2020; Universiti Malaysia Pahang Publishing
• Subjects: Component mode synthesis; Dynamic response; dynamix responses; Equations of motion; fem; Finite element method; Mathematical models; Matrix; Parameter uncertainty; perturbation method; Perturbation methods; Physical properties; Statistical analysis; Time response; Transfer functions; uncertain parameters
• ISSN: 2289-4659; 2231-8380
• DOI: 10.15282/jmes.14.2.2020.17.0529

In this paper, a method to calculate the first two moments (mean and variance) of the stochastic time response as well as the frequency functions of large FE models with probabilistic uncertainties in the physical parameters is proposed. This method is based on coupling of second order perturbation method and component mode synthesis methods. Various component mode synthesis methods are used to optimally reduce the size of the model. The analysis of dynamic response of stochastic finite element system can be done in the frequency domain using the frequency transfer functions and in the time domain by a direct integration of the equations of motion, using numerical procedures. The statistical first two moments of dynamic response of the reduced system are obtained by the second order perturbation method. Numerical applications have been developed to highlight effectiveness of the method developed to analyze the stochastic response of large structures.