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基于弹性模量缩减法和基准体法,建立了工程结构极限承载力上限分析的方法。该法结合弹性有限元法进行迭代分析,以广义屈服函数表达的单元承载比作为弹性模量调整的控制参数,根据单元承载比均匀度确定模量调整的阀值——基准承载比,利用单元应变能转化中的能量守恒原理建立单元弹性模量调整策略,通过缩减高应力单元的弹性模量模拟结构弹塑性损伤过程,构造出一系列机动允许位移场,然后利用基准体的上限荷载计算方法,求解出结构极限承载力上限。该方法继承了弹性模量调整法原理简单、应用方便的优点,同时显著提高了计算效率,并可应用于具有不同几何特性和材料特性构件构成的复杂结构中。算例分析表明:该文算法具有良好的计算精度、收敛性和迭代稳定性。
Based on the elastic modulus reduction method and the reference body method, the method of upper limit analysis of ultimate bearing capacity of structures is established. The method is combined with the elastic finite element method for iterative analysis. The unit bearing ratio of the generalized yield function is used as the control parameter for the elastic modulus adjustment. The threshold-reference bearing ratio of modulus adjustment is determined according to the unit bearing ratio uniformity. The principle of energy conservation in transformation of strain energy is used to establish the unit elastic modulus adjustment strategy. A series of maneuvering allowable displacement fields are constructed by reducing the elastic modulus of the high stress unit to simulate the elastic-plastic damage process. Then, by using the upper body load calculation method , Solved the upper limit of the ultimate structural capacity. The method inherits the advantages of simple and convenient application of the elastic modulus adjustment method, and significantly improves the computational efficiency. The method can be applied to complex structures with different geometrical characteristics and material properties. The case study shows that the proposed algorithm has good computational accuracy, convergence and iterative stability.