为了分析复杂结构动力学以及应力波传播问题提出一种基于非结构化网格有限体积法的弹性结构数值模拟方法,采用位移和广义压力作为原始变量,推导出适用于可压缩和不可压缩弹性体的一致控制方程形式.空间采用有限体积方法和时间项采用二阶欧拉隐式格式离散,通过半隐式预测-校正两步算法(SIMPLE类算法)实现压力和位移耦合求解.最后通过二维平面应变问题和平面应力问题验证了本文方法的可行性,数值结果表明本文方法还适用于应力波数值模拟.%A numerical method based on a finite volume method with an unstructured grid was presented to analyze the structural dynamics and stress wave propagation in a complex domain, in which displacement and pressure were treated as original variables and the uniform control equations for non-compressible and compressible materials were derived. The control equation was diseretized spacially with the collocated finite volume method and Eulerian implicit method in a time domain which could greatly reduce the constricted time step limit. A two step prediction-correction semi-implicit SIMPLE method was used for pressure-displacement coupling. The presented algorithm was verified with two numerical eases which had analytical solutions. Finally, the plain stress wave propagation problem was simulated, and the result was consistent with that of the finite difference method. It indicates that the method is reasonable and applicable for stress wave simulation and structural dynamic analysis.
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