﻿ 多变量Laguerre积分随机有限元方法的研究

# 多变量Laguerre积分随机有限元方法的研究Study on the Laguerre Integral Multivariate Stochastic Finite Element Method

Abstract:
In the existing single variable Laguerre integral stochastic finite element method, based on Laguerre integral multivariate stochastic finite element formula, the author proposed variable Lagurre in- tegral stochastic finite element method (LISFEM). By using APDL of ANSYS, LISFEM was embedded into ANSYS, and corresponding calculation program module was generated, then using the post- processing program of ANSYS, the mean and variance of the whole node’s stress and deformation was realized by the cloud image displaying. Finally, took the turbine blade of the two loop as an example, chose different Laguerre integral point number and calculated, then compared with the analytical solution, the calculation results showed that the efficiency of calculating was high, and the less integral point could get high accuracy, so as to test the correctness of this method.

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