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现代隧道技术 2022, Vol. 59 Issue (3) :88-98    DOI:
数值分析与计算 最新目录 | 下期目录 | 过刊浏览 | 高级检索 << [an error occurred while processing this directive] | [an error occurred while processing this directive] >>
考虑参数空间变异性的衬砌结构力学响应分析
(轨道交通工程信息化国家重点实验室,西安 710043)
Response Analysis on Structural Mechanics of Tunnel Lining Taking into Consideration the Spatial Variability of Parameters
(State Key Laboratory of Rail Transit Engineering Informatization, Xi′an 710043)
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摘要 针对支护-围岩系统的参数空间变异性,在随机场理论的基本框架下,提出了非线性地基梁随机有限元分析法。利用Karhunen-Loève级数展开法将随机场进行离散,模拟了围岩荷载与支护-围岩系统相互作用的空间变异性,并利用多随机变量模型模拟了衬砌参数的空间变异性。在此基础上,利用非线性弹簧与改进的Timoshenko梁单元,构造了非线性地基梁单元,并编写了相应的计算程序。运用该程序对支护的力学响应进行分析,并得出了4种典型力学响应规律:(1)同一变异源对支护力学响应的影响程度具有选择性;(2)同一力学响应对变异源的敏感程度具有差异性;(3)围岩等级对力学响应规律的影响具有决定性;(4)力学响应的空间分布规律具有统一性。
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作者相关文章
张 欢
关键词空间变异性;Karhunen-Loè   ve级数展开;随机有限单元法;改进Timoshenko梁单元     
Abstract: Based on the spatial variability of parameters of the support-surrounding rock system, this paper puts for? ward the random finite element analysis method for non-linear foundation beams under the basic framework of random field theory. In the analysis, the Karhunen-Loève series expansion method was utilized for random field discretion, the spatial variability of the interaction between the surrounding rock load and the support-surrounding rock system was simulated, and the multiple random variable model was used to simulate the spatial variability of lining parameters. On such basis, the non-linear spring and the modified Timoshenko foundation beam unit were utilized to build the non-linear foundation beam unit, and the corresponding calculation program was written. This program was used to analyze the mechanical response of supports and in the process, 4 types of typical mechanical response rules were found: (1) the degree of impact of the same variation source on the mechanical response of supports was selective; (2) the level of sensitivity of the same mechanical response on the variation source was various; (3) the impact of the grade of surrounding rock on the mechanical response rules was decisive; and (4) the spatial distribution patterns of mechanical response were uniform.
KeywordsSpatial variability,   Karhunen-Loève series expansion,   Random finite element method,   Modified Ti? moshenko beam unit     
作者简介: 张 欢(1994-),男,硕士,工程师,主要从事隧道与地下工程方面的工作,E-mail: 1348841159@qq.com.
引用本文:   
张 欢 .考虑参数空间变异性的衬砌结构力学响应分析[J]  现代隧道技术, 2022,V59(3): 88-98
ZHANG Huan .Response Analysis on Structural Mechanics of Tunnel Lining Taking into Consideration the Spatial Variability of Parameters[J]  MODERN TUNNELLING TECHNOLOGY, 2022,V59(3): 88-98
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