Due to spatial variability of material property, Young＇ s modulus is assumed to be a stochastic process. This paper proposes a new method of calculating stochastic field, which includes the information of nodes and t...Due to spatial variability of material property, Young＇ s modulus is assumed to be a stochastic process. This paper proposes a new method of calculating stochastic field, which includes the information of nodes and the midpoint. The method is of high accuracy, and is easy to program. It is an improvement of the midpoint method of stochastic field. In the case of material properties, geometry parameters and applied loads are assumed to be stochastic, the vibration equation of a structure is transformed into a static problem using Newmark method. The Taylor expansion stochastic finite element method（TSFEM） is extended for the structure vibration analysis. An example is given and the calculated results are compared to validate the proposed methods.展开更多
In this paper, material properties, geometry parameters and applied loads are assumed to be stochastic, sensitivity computation of structural vibration is presented. The vibration equation of a system is transformed t...In this paper, material properties, geometry parameters and applied loads are assumed to be stochastic, sensitivity computation of structural vibration is presented. The vibration equation of a system is transformed to a static problem by using the Newmark method, and the Taylor expansion stochastic finite element method （TSFEM） is extended for the structural vibration analysis. An example is given, and the calculation results show the validity of the proposed method.展开更多
基金supported by the National Natural Science Foundation under Grant No.10202016
文摘Due to spatial variability of material property, Young＇ s modulus is assumed to be a stochastic process. This paper proposes a new method of calculating stochastic field, which includes the information of nodes and the midpoint. The method is of high accuracy, and is easy to program. It is an improvement of the midpoint method of stochastic field. In the case of material properties, geometry parameters and applied loads are assumed to be stochastic, the vibration equation of a structure is transformed into a static problem using Newmark method. The Taylor expansion stochastic finite element method（TSFEM） is extended for the structure vibration analysis. An example is given and the calculated results are compared to validate the proposed methods.
基金Supported by National Natural Science Foundation under Grant No.10202016
文摘In this paper, material properties, geometry parameters and applied loads are assumed to be stochastic, sensitivity computation of structural vibration is presented. The vibration equation of a system is transformed to a static problem by using the Newmark method, and the Taylor expansion stochastic finite element method （TSFEM） is extended for the structural vibration analysis. An example is given, and the calculation results show the validity of the proposed method.
