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Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems

Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems

S. Chakraverty, Diptiranjan Behera
Copyright: © 2014 |Pages: 26
ISBN13: 9781466649910|ISBN10: 1466649917|EISBN13: 9781466649927
DOI: 10.4018/978-1-4666-4991-0.ch017
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MLA

Chakraverty, S., and Diptiranjan Behera. "Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems." Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, edited by S. Chakraverty, IGI Global, 2014, pp. 357-382. https://doi.org/10.4018/978-1-4666-4991-0.ch017

APA

Chakraverty, S. & Behera, D. (2014). Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems. In S. Chakraverty (Ed.), Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems (pp. 357-382). IGI Global. https://doi.org/10.4018/978-1-4666-4991-0.ch017

Chicago

Chakraverty, S., and Diptiranjan Behera. "Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems." In Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, edited by S. Chakraverty, 357-382. Hershey, PA: IGI Global, 2014. https://doi.org/10.4018/978-1-4666-4991-0.ch017

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Abstract

This chapter presents the static and dynamic analysis of structures with uncertain parameters using fuzzy finite element method. Uncertainties presents in the parameters are modelled through convex normalised fuzzy sets. Fuzzy finite element method converts the structures into fuzzy system of linear equations and fuzzy eigenvalue problem for static and dynamic problems respectively. As such method to solve fuzzy system of linear equations, fully fuzzy system of linear equations and fuzzy eigenvalue problems are presented. These methods are applied to various structural problems to find out the fuzzy static and dynamic responses of the structures. Also the chapter analyses the numerical solution of uncertain fractionally damped spring-mass system. Uncertainties considered in the initial condition of the system.

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