论文部分内容阅读
突变理论注重研究系统状态发生突变时外界的控制条件,主要阐述非线性系统如何从连续渐变状态向系统性质突变的转变。混凝土重力坝不仅材料本身非线性明显,并且系统也具有较强非线性特性。基于突变理论,研究了突变理论应用于重力坝系统抗滑失稳的可行性,并分别从能量突变、位移突变以及塑性屈服区面积突变进行了重力坝沿建基面的失稳判据研究。通过分析计算结果并将其与传统分析方法比较后指出,对于不同出发点的突变判据,所得到的结果并不一定一致。为了更好的表征结构的性态的转变,应当选择合适的突变指标,以客观反映系统的状态变化,比如本文中的总塑性应变能指标。同时失稳判据的确定不能仅依赖于一种方法,应该建立一种综合评价的方法体系。
Catastrophe theory focuses on the external control conditions in the sudden change of the system state, and mainly explains how the nonlinear system changes from the continuous gradual change to the sudden change of the system. Concrete gravity dam not only the material itself nonlinear significant, and the system also has strong nonlinear characteristics. Based on catastrophe theory, the feasibility of applying catastrophe theory to the anti-sliding instability of gravity dam system is studied. The instability criterion of gravity dam along the built surface is studied from energy mutation, displacement mutation and abrupt change of plastic yield zone respectively. By analyzing and comparing the calculated results with the traditional analytical methods, it is pointed out that for the mutation criteria of different departure points, the obtained results are not necessarily the same. In order to better characterize the structural change of the structure, an appropriate index of mutation should be chosen to objectively reflect the state change of the system, such as the total plastic strain energy index in this paper. At the same time, the determination of instability criterion can not depend on only one method, and a method system of comprehensive evaluation should be established.