结构变形稳定与控制理论及在岩土工程中的应用
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摘要
常规的刚体极限平衡法难以适应对高坝坝基、高边坡、大型地下洞室群等大型岩体工程稳定评价及加固措施分析,需要在变形结构分析的基础上开展稳定与加固分析,而这是岩土数值分析方法的一个核心难点。在回顾总结变形稳定的特点和难点的基础上,给出了复杂多自由度变形结构体系失稳的严格定义及其集合逻辑表述,以及加固力数学的表述和实质,发展了基于塑性余能及其变分的变形结构稳定性判据,并以此为基础统一了基于结构势能二阶变分的稳定判据。完善了失稳结构的最小塑性余能原理,指出了失稳结构总体演化趋势,为新奥法施工原理、潘家铮最大最小原理奠定了严格理论基础。并将上述变形稳定理论应用于高坝坝基、高边坡、大型地下洞室群的稳定性评价。
The conventional rigid body limit equilibrium method is not suitable to evaluate the stability and reinforcement of projects with large scale rock mass,such as arch dam abutment,high slope and large scale underground caverns.Stability and reinforcement analysis based on deformed configurations is needed,which is a key problem in rock and soil numerical analysis.Summarizing the characteristics and difficulties of deformation stability,a rigorous definition is presented for the instability analysis of complex multi-degree-of-freedom deformed structural system,as well as its logic expression and mathematical expression.Deformed structural stability criterion based on complementary energy norm and its variation was developed and stability criterion based on second variation of structural potential energy was unified.The minimum plastic complementary energy was improved and the general evolution trend was indicated,which establishes the strict theory basis for NATM contruction theory and pan's principle of maximum and minimum.Finally,the deformation stability theory was applied in stability assessment of high arch dam abutment,high slope and large scale underground caverns.
The conventional rigid body limit equilibrium method is not suitable to evaluate the stability and reinforcement of projects with large scale rock mass,such as arch dam abutment,high slope and large scale underground caverns.Stability and reinforcement analysis based on deformed configurations is needed,which is a key problem in rock and soil numerical analysis.Summarizing the characteristics and difficulties of deformation stability,a rigorous definition is presented for the instability analysis of complex multi-degree-of-freedom deformed structural system,as well as its logic expression and mathematical expression.Deformed structural stability criterion based on complementary energy norm and its variation was developed and stability criterion based on second variation of structural potential energy was unified.The minimum plastic complementary energy was improved and the general evolution trend was indicated,which establishes the strict theory basis for NATM contruction theory and pan's principle of maximum and minimum.Finally,the deformation stability theory was applied in stability assessment of high arch dam abutment,high slope and large scale underground caverns.
引文
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