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.