In the end the stochastic finite element method ( sfem ) is used to point out the key part for maintenance . 9 . the girder aqueduct structure of li river of the snwtp as an example is analysised for its risk . every parts of the structure are studied; the failure modes and failure functions are established 9、進行了南水北調(diào)澧河渡槽的力學風險分析,研究了渡槽各部位的破壞模式,建立了相應的失效模式功能函數(shù),計算了各部位的可靠指標,隨后運用非線性隨機有限元理論詳細分析了渡槽整體結(jié)構(gòu),得出了一些有益結(jié)論。
The equivalent random systems method that is clear in principle, simple in plan, and high in precision of example, will be developed in the 2 disposal of dynamic response of structures with uncertain physical parameters . 4 . developments of study on stochastic finite element method ( sfem ) are introduced . for the linear elastic problem, the seem is to mature 介紹了隨機有限元方法的研究現(xiàn)狀,對于線彈性問題,方法趨于成熟,但是用隨機的思想來進行粘彈性結(jié)構(gòu)的分析的研究工作迄今少有見諸報導;本文在空間上采用有限元法,在時域上采用差分的方法,首次建立了用擴階隨機有限元方法求解含隨機參數(shù)粘彈性問題的計算模型,推導了相應的有限元公式,給出了算法,編制了有限元程序。
The aim of this study is to develop a wavelet stochastic finite element method to be applied in solving partial difference equations . this work includes 5 sections as follows : a . the properties of quasi shannon wavelet was studied in this paper, and a wavelet collocation method for partial differential equations was conducted 該工作主要由以下五部分構(gòu)成:第一、研究了擬shannon小波的性質(zhì),構(gòu)造了求解偏微分方程的擬shannon小波配置法,同時將外推法引入小波配置法,進一步改善了該方法的計算效率和計算精度。