S. Rout1, S. Chakraverty1,*
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.3, pp. 947-980, 2019, DOI:10.32604/cmes.2019.08036
Abstract The dynamic analysis of damped structural system by using finite element
method leads to nonlinear eigenvalue problem (NEP) (particularly, quadratic eigenvalue
problem). In general, the parameters of NEP are considered as exact values. But in actual
practice because of different errors and incomplete information, the parameters may have
uncertain or vague values and such uncertain values may be considered in terms of fuzzy
numbers. This article proposes an efficient fuzzy-affine approach to solve fully fuzzy
nonlinear eigenvalue problems (FNEPs) where involved parameters are fuzzy numbers
viz. triangular and trapezoidal. Based on the parametric form, fuzzy numbers have been
transformed into… More >