非线性稳定性理论及其在重力坝分析中的应用  

Nonlinear stability theory and its application to the analysis of gravity dams

作　　者：赵引[1] 任青文[1] 

机构地区：[1]河海大学工程力学系,南京210098

出　　处：《水力发电学报》2010年第5期28-34,共7页Journal of Hydroelectric Engineering

基　　金：雅砻江水电开发联合基金资助项目(50539030)

摘　　要：本文针对空间实体结构的稳定性问题,给出三维系统的广义稳定性概念。考虑材料非线性以及系统接近失稳时可能出现的几何非线性,采用非线性稳定性理论研究空间实体结构的稳定性和承载能力,给出失稳的判别准则,并将此理论和方法应用于重力坝-地基系统的稳定性分析中,使分析具有更为严谨的力学理论基础。计算分析表明,此方法理论正确,结果可靠,具有广阔的工程应用前景。This paper discusses the concept of generalized stability of a 3D system,and focuses on the application to 3D real space structures.Nonlinear stability theories are used to study the stability and loadbearing capacity of real space structures in consideration of the material nonlinearity and the geometric nonlinearity that may arise when the system is close to its unstable mode.A criterion of instability is obtained.The theory and method are applied to the stability analysis of a gravity dam-foundation system,so the analysis has a more rigorous basis of mechanics.The results indicate that the method is theoretically correct and reliable with a potential of wide engineering application.

关 键 词：工程力学 非线性稳定 非线性有限元法 重力坝 

分 类 号：TV312[水利工程—水工结构工程]