2．2 TayIor展开随机有限元（TSFEM） 在结构可靠性分析中，往往涉及到元件的安全佘量对随机变量（包括结 稳抒元的强壤、杼元截甏瑟积与醴及辨萄载等，称为基本陡辊交...
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In this paper stochastic finite element method and SFEM-based reliability evaluation are developed for linear, nonlinear, static and dynamic problems. The research work is mainly concerned with the following three aspects.1.
本文针对工程结构中的随机因素，开展了线性与非线性，静力和动力问题的随机有限元法，及以此为基础的结构可靠性研究。
参考来源 - 随机结构有限元法及可靠性研究The influence was analyzed which random variables have on the pile foundation working performances,such as stress and strain of pile tip,by Monte Carlo stochastic FEM.
用蒙特卡罗随机有限元法分析随机变量对桩基工作性能影响的敏感性,如桩端应力、位移。
参考来源 - 岩土参数对桩基性能影响的随机有限元分析The indoor experiments and field investigation are applied to find the settlement speed of high earth fill subgrade. The steadiness of high earth fill sub-grade is discussed with random finite element data analysis method.
本课题拟通过设定的室内试验及对室外试验路段的观测来寻求高填方路基的沉降速度，并作了随机有限元数值分析，对高填方路基的稳定性方面作一定探索。
参考来源 - 高填方路基的沉降速度分析与稳定性研究·2,447,543篇论文数据，部分数据来源于NoteExpress
到目前为止，随机有限元法的研究已基本成熟。
Up to now, the research of stochastic finite element is mature basically.
为应用随机有限元方法对随机渗流进行分析提供了理论依据。
This provides a foundation for the analysis of the stochastic seepage with stochastic finite element method.
基于随机有限元的梯度优化算法引入拥有随机参数的框架可靠度分析。
The gradient optimization algorithm based on the stochastic finite element was adopted to analyze the reliability of the frame with stochastic parameters.
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