Dynamic Analysis of Stochastic Finite Element Based on Sensitivity Computation
Material properties, geometry parameters and applied loads are modeled as random variables. Sensitivity of linear vibration is formulated. If displacement vector is not sensitive to a parameter, we regard it as constant. If displacement vector is very sensitive to a parameter, designer should modify its datum and provide a rational tolerance. The numerical example demonstrates the proposed method. Stochastic finite element that does not analyze sensitivity is unreasonable.
H. Wang, B.J. Zhang, X.Z. Liu, D.Z. Luo, S.B. Zhong
W. H. Mo "Dynamic Analysis of Stochastic Finite Element Based on Sensitivity Computation", Advanced Materials Research, Vols. 143-144, pp. 1264-1269, 2011