scholarly journals A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with non-local Dirichlet transition conditions

1999 ◽  
Vol 111 (1-2) ◽  
pp. 253-265 ◽  
Author(s):  
Hennie De Schepper ◽  
Roger Van Keer
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Eigenvalue Problems ◽  
Non Local ◽  
Elliptic Eigenvalue Problems ◽  
Element Method

Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems

2014 ◽  
pp. 357-382
Author(s):  
S. Chakraverty ◽  
Diptiranjan Behera
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Analysis ◽  
Fuzzy System ◽  
Eigenvalue Problems ◽  
Linear Equations ◽  
System Of Linear Equations ◽  
Static And Dynamic Analysis ◽  
Fuzzy Finite Element ◽  
Element Method

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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