Free vibration analysis of rotating beams with random properties

摘要: In this paper, free vibration of rotating beam with random properties is studied. The cross-sectional area, elasticity modulus, moment inertia, shear modulus and density are modeled as fields the rotational speed a variable. To study uncertainty, stochastic finite element method based on second order perturbation applied. discretize fields, three methods midpoint, interpolation local average applied compared. effects speed, setting angle, property variances, discretization scheme, number elements, correlation function form length "Coefficient Variation" (C.O.V.) first mode eigenvalue investigated completely. determine significant variation sensitivity analysis performed. results studied for both Timoshenko Bernoulli-Euler beam. It shown that C.O.V. beams approximately identical. Also, compared to uncorrelated correlated case has larger value. Another important result is, where small, convergence rate lower more elements necessary final response.