﻿ 基于虚位移原理的动态随机有限元方法理论推导

# 基于虚位移原理的动态随机有限元方法理论推导 Theoretical Inference of the Dynamic Stochastic Finite Element Method Based on the Virtual Displacement Principle

Abstract: Virtual displacement principle which is the weak solution integral form of partial differential equations was researched in detail, and axisymmetric isoparametric quadrilateral element with eight-nodes was constructed. Then, based on the virtual displacement principle, the static equilibrium equation of the axisymmetric dynamic problems and the equivalent integral weak form under the boundary conditions of the force were derived, combined with perturbation technology, the dynamic stochastic finite element equation of the axisymmetric isoparametric quadrilateral element with eight-nodes was derived, and the dynamic stochastic finite element method based on the principle of the virtual displacements principle was put forward, the method provides a new solution for researching dynamic response characteristics of engineering objects.

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