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非连续变形分析(DDA)是一种隐式求解的动力学计算方法,且采用在块体界面加减刚硬弹簧的方式来满足块体界面无张拉和无嵌入的接触准则,其中时间步长和弹簧刚度两个物理量的取值直接影响DDA的计算结果。基于对DDA时间步和弹簧刚度在程序运行过程中的调整策略和块体接触的简化力学概念模型,研究了惯性力在DDA收敛求解中的作用过程。采用数值模拟试验对自由落体和斜面单滑块模型在3种力学状态下的相关力学问题进行了数值模拟研究,通过对自由落体运动的模拟,研究了时间步长单一因素对计算结果的影响规律,并初步确定了时间步长的合理取值区间。在此基础上,采用斜面单滑块模型,研究了时间步长和弹簧刚度对计算结果的共同影响,确定了不同时间步长条件下弹簧刚度的合理取值区间。研究成果表明,合适的时间步长和弹簧刚度的取值组合构成一个单连通参数取值域,当时间步和弹簧刚度的取值组合位于此“域”范围内时,DDA的计算结果是合理的。
Discontinuous Deformation Analysis (DDA) is an implicit solution to the kinetic calculation method, and adopts the method of adding and subtracting rigid springs at the block interface to meet the contactless criterion of block interface without tension and without embedding. The time step The value of the length and spring stiffness of two physical quantities directly affect the calculation results of DDA. Based on the simplified mechanics conceptual model of DDA time step and spring stiffness in the process of program running and the contact of block, the action process of inertial force in the convergence of DDA is studied. Numerical simulations were carried out to simulate the mechanical problems of free-fall and single-slide slab models in three mechanics states. By simulating the free-fall motion, the influence of single factor of time step on the calculation results was studied , And initially determine the reasonable value of the time step range. On this basis, the single-slider model is used to study the influence of time step and spring stiffness on the calculation results, and the reasonable value interval of spring stiffness under different time-step conditions is determined. The research results show that the combination of the appropriate time-step and spring-stiffness values constitutes a single connected parameter range. When the combination of the time-step and spring-stiffness values lies within this “domain” range, the DDA results Is reasonable.