Joint FLexibility Effects on the Dynamic Response of Structures. Part 2. Stochastic Analysis

Download or read book Joint FLexibility Effects on the Dynamic Response of Structures. Part 2. Stochastic Analysis written by and published by . This book was released on 1992 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this study is to quantify the effect of flexible connections with random stiffness on the modal properties and dynamic response of structures. Since the mass and stiffness matrices contain random parameters, the modal decomposition solution of the equations of motion lead to a random eigenvalue problem. A second order perturbation technique is used for the solution the random eigenproblem. Closed form expressions for the mean and variance of the natural frequencies and vibration modes are provided. The response of systems with random parameters subjected to deterministic loads is examined next beginning with single degree of freedom systems. When standard perturbation methods are applied to calculate the statistics of the response, the expressions obtained become non uniform as time grows. A detailed discussion about the cause of the problem is presented. A new formulation based on the method of multiple scales used for nonlinear systems is proposed to overcome the problem. The response analysis is extended to multi degree of freedom systems. Conclusions and recommendations for further research are presented ... Flexible connections, Random eigenvalue problems, Perturbation techniques, Stochastic finite elements.