Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy finite-element approach for the vibration analysis of imprecisely-defined systems
Finite Elements in Analysis and Design - Special issue: Robert J. Melosh medal competition
Fuzzy Sets and Systems
The transformation method for the simulation and analysis of systems with uncertain parameters
Fuzzy Sets and Systems - Fuzzy intervals
Systems of fuzzy equations in structural mechanics
Journal of Computational and Applied Mathematics
Applied Fuzzy Arithmetic: An Introduction with Engineering Applications
Applied Fuzzy Arithmetic: An Introduction with Engineering Applications
Finite Elements in Analysis and Design
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This paper presents the fuzzy finite element analysis for static displacements of fixed free stepped rectangular beam, truss and simplified bridge structure with fuzzy nodal force. The material and geometric properties of the structures are taken as crisp. Fuzzy finite element analysis of static problem for the above structures converts the problem into fuzzy system of linear equations. As such the coefficient matrix and the right-hand side vector become crisp and fuzzy respectively. A new approach is used here to solve the fuzzy system of linear equations. Numerical results for the three stepped rectangular beam, three-bar truss and simplified bridge with fifteen elements are presented to illustrate the computational aspects of the developed method. The results obtained are depicted in term of plots.