Fuzzy Reliability Calculation Based on Stochastic Finite Element

Based on the stochastic finite element, the fuzzy reliability calculation of structure with static problems, linear vibration, nonlinear problems and nonlinear vibration is studied. The mean and variance of stress are obtained by the stochastic finite element method. The normal membership function is generally selected as the membership function of engineering problems. The fuzzy reliability of structure can be obtained by using the calculation formula of fuzzy reliability.

Keywords: Fuzzy reliability, Stochastic finite element, Static problem, Linear vibration, Nonlinear structure, Nonlinear vibration, Membership function.