块体单元法动力分析研究

STUDY ON BLOCK ELEMENT METHOD FOR DYNAMIC ANALYSIS

将块体单元法引入结构动力分析,同时给出动力分析的块体单元法中质量矩阵和阻尼矩阵的具体表达式,建立块体系统在惯性力、阻尼力、动力荷载及弹性力作用下的动力平衡方程。最后分析2个算例,通过将块体单元法与其他方法计算结果进行对比,验证块体单元法动力分析的准确性和合理性。块体单元法对于岩体中含大量不连续面的复杂结构在前处理工作上有较大的优越性,因此可广泛应用于水工及岩土工程结构动力及地震作用下的变形与稳定性分析。

Dynamic analysis of structures is one of main issues of structural design,especially for structures of rock masses containing various discontinuities.Numerical analysis is an important method for the problem.Block element method（BEM）is an effective numerical method for the analysis of rock masses.BEM is employed to expand the dynamic analysis of structures.At first,the formulas of mass matrix and damping matrix for dynamic analysis of BEM are presented;then,the dynamic equilibrium equations of the block system subjected to the inertia forces,the damping forces,the dynamic loads and the elastic forces are formulated.Finally,two examples are studied with the method.Both of the results are very close to those calculated by other methods.BEM has advantages in pretreatment of large numbers of discontinuities contained in rock masses;so it is expected to be widely used in stability analysis of complicated rock masses under dynamic or seismic loadings.