基于有限元与灰色系统理论集成的水利岩土工程问题研究  

Research on Water Conservancy Geotechnical Engineering Problems Based on the Integration of Finite Element and Grey System Theory

作　　者：陈亚辉 CHEN Yahui(Shenzhen Water Engineering Testing Co.,Ltd,Shenzhen 518000,China)

机构地区：[1]深圳市水务工程检测有限公司,广东深圳518000

出　　处：《云南水力发电》2024年第11期38-42,共5页Yunnan Water Power

摘　　要：将有限元方法与灰色系统理论集成,通过对水利岩土工程问题的研究,提出了一种新的数值模拟思路。水利岩土工程问题涉及复杂的地质结构和工程环境,且通常难以获取完整的原始信息。考虑到这一问题,将水利岩土体系视为一种非本质的灰色系统,通过灰色数学的基本单元--灰数,描述了岩土体系的灰色特性、灰色参数和灰色变量。在建立基本平衡方程和具有灰色变量的有限元方法方程的基础上,利用灰色数的运算性质解决了具有灰色变量的有限元方程。A new numerical simulation approach is proposed by integrating finite element method with grey system theory and studying hydraulic geotechnical engineering problems.Water conservancy geotechnical engineering problems involve complex geological structures and engineering environments,and it is often difficult to obtain complete original information.Considering this issue,this article regards the hydraulic geotechnical system as a non essential grey system,and describes the grey characteristics,grey parameters,and grey variables of the geotechnical system through the basic unit of grey mathematics-grey number.On the basis of establishing basic equilibrium equations and finite element method equations with grey variables,the operational properties of grey numbers were utilized to solve finite element equations with grey variables.

关 键 词：有限元方法 灰色系统理论 水利岩土工程 基本平衡方程 

分 类 号：TV22[水利工程—水工结构工程]