According to the problem that performance functions for structures are difficult to be explicit expressed , a method based on neural network was utilized to transform the implicit function into an explicit expression 摘要针对结构可靠度分析中极限状态方程不能明确表达的情况，结合神经网络技术，提出了隐式极限状态方程转换为显式表达式的方法。
The equation of the structural limiting state can be expressed : z = r - s , thereinto r and s respectively are structural resistance and load response expressed with stochastic variables , we ca 结构的极限状态方程可以表示为： z = r ? s ，其中r和s分别为用随机变量表示的结构的抗力和荷载响应，通过极限状态方程就可以得出结构的失效概率，或者是用可靠指标表示的结构的可靠度。
Secondly , based on the structure reliability theory , eight types of failure modes of pile under inclined loads are presented , and then corresponding limiting state and limit function of every failure mode are established 继而根据结构可靠度的分析方法,为倾斜荷载下的桩土结构确定了8种常见的结构失效模式,并给每个失效模式建立了相应的结构极限状态及极限状态方程。
Abstract : on the basis of random property of seismic load and structural material , the limited state equation for industry equipment under seismic load is established referring to probability knowledge 文摘:综合考虑地震作用和结构材料的随机性，运用概率论的知识建立了地震作用下钢铁工业设备各种破坏形式的极限状态方程，并求出了对应于某种地震烈度，设备出现各种破坏状态的概率。
Present calculation method of reliability is based on the explicit limit state equation of limiting state function . as for the implicit expression structure , classical response surface method and random finite element are combined for calculation 现有的可靠性计算方法都是以极限状态方程具有明确的解析表达式为基础的,对于不存在明确表达式的结构往往采用传统响应面和随机有限元结合的方法来计算。
Firstly , through the research of slope stability analysis method on slice mode and response surface method , finite element method in classical response surface method is replaced by iterative calculation process of implicate stability coefficient expression on slice mode , while aiming at that there is no explicit expression in slope reliability calculation and the specialty of stability coefficient calculation method and classical response surface method . then confirm the limit state equation of slope reliability analysis on slice mode 首先,本文通过对边坡稳定性分析方法条分理论和响应面法的研究,针对边坡可靠性计算往往没有明确的解析表达式,以及稳定性系数计算方法和传统响应面法的特点,将响应面中的有限元数值模拟以条分模式中稳定性系数隐式方程的迭代计算方法代替,确定条分模式下的边坡可靠性计算的极限状态方程。
Based on probability statistics and structure reliability theory , a method of calculating the durability period and reliability probability of reinforced concrete exposed to chloride environments is presented . the target reliability level that the time of reinforcement initial corrosion in concrete structure exposed to chloride environments is proposed in this paper . a method of predicting service life of concrete structure exposed to chloride environments is given in this paper 建立了氯腐蚀环境下混凝土结构中钢筋开始锈蚀的条件和耐久性极限状态方程以及氯腐蚀环境下混凝土结构的寿命评估准则；以结构可靠度理论为基础，提出了混凝土结构的耐久性分析方法和寿命预测方法，给出了氯腐蚀环境下混凝土中钢筋不发生锈蚀的目标可靠指标，并结合一具体工程进行了耐久性评估。
The thesis , in the probability analysis and computation , considers the failure history of space frames and trusses , adopts the bound criterion and algorithms on the base of system ' s critical strength , and introduces the soft self - adaptation control bound into the identification of dominant failure modes ; at the same time , with the incremental load method and differential equalized recursive method , computes the limit - state function of failure mode and probability index precisely under no leaking the dominant failure modes 文中在可靠性分析和计算部分，考虑空间刚桁架结构系统的失效演化历程，采用基于系统临界强度的约界准则和约界算法，将柔性自适应控制边界引入失效模式识别过程；同时，用荷载增量法和微分等价递归算法相结合，确保在严格不遗漏主要失效模式的情况下，快速准确地求解失效模式的极限状态方程和可靠度指标。
Equation was deduced on normal use ultimate state for cshbb based on displacement control method , whose statistical parameters of load item were got from field tests and statistical parameters of resist item were got from indoor experiments . reliability analysis was also done based on the equation 根据由现场实测得到的温差统计模式及由室内试验得到的抗力统计模式，采用有限元计算得到的近似层间相对位移计算表达式，建立了基于位移控制的小砌块建筑的正常使用极限状态方程，并对其进行了可靠度分析。
At last distribution functions of load modes in life service are presented . based on the resisting force model and load model , the limit state equations of rc bridge are formulated . according to the resisting force is time - dependent and vehicle load is the non - gaussian distribution , jc method is applied to calculate the time - dependent reliability index of rc bridge 在抗力衰减模型及桥梁荷载模型的基础上，将可靠度理论引入桥梁结构的评定中，推导出了桥梁结构耐久性极限状态方程，并根据耐久性极限状态方程中抗力是时间的函数，以及车辆荷载为非正态分布的特点，应用当量正态法( jc法)编制相应的程序计算桥梁构件的时变可靠度指标。
