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| 基于神经网络的隐式显化方法在结构可靠度分析中的应用 | |
| 引用本文： | 张杰, 肖汝诚, 程进. 基于神经网络的隐式显化方法在结构可靠度分析中的应用[J]. 力学季刊, 2007, 28(1): 135-141. doi: 10.3969/j.issn.0254-0053.2007.01.023 |
| 作者姓名： | 张杰 肖汝诚 程进 |
| 作者单位： | 同济大学,桥梁工程系,上海,200092;; 同济大学,桥梁工程系,上海,200092;; 同济大学,桥梁工程系,上海,200092 |
| 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.该方法利用神经网络的非线性映射能力,构造出显式表达的极限状态方程,从而可以很方便的引入一次二阶矩等其他基本求解方法进行结构可靠度分析.实例数值结果表明,基于神经网络将隐式函数转化为明确表达的极限状态方程是可行的,同时该方法具有较高的精度,为结构可靠度计算提供了新的有效思路和手段. |
| 关 键 词： | 神经网络 显式极限状态方程 可靠度计算 |
| 文章编号： | 0254-0053（2007）01-135-7 |
| 修稿时间： | 2006-04-06 |
An Explicit Method Based on Implicit Expression of Neural Network for Structure Reliability Application |
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| ZHANG Jie, XIAO Ru-cheng, CHENG Jin. An Explicit Method Based on Implicit Expression of Neural Network for Structure Reliability Application[J]. Chinese Quarterly of Mechanics, 2007, 28(1): 135-141. doi: 10.3969/j.issn.0254-0053.2007.01.023 | |
| Authors: | ZHANG Jie XIAO Ru-cheng CHENG Jin |
| Affiliation: | Department of Bridge Engineering, Tongji University, Shanghai 200092, China |
| Abstract: | 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.The performance of highly nonlinear mapping for neural network was adopted to supply an explicit expression,so the method such as firstorder reliability method can be used again.Examples indicate that the method is available and exact for implicit expressed performance function,and it is a new and effective way for structure reliability analysis. |
| Keywords: | neural network explicit expressed performance function structure reliability |
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