大规模单点基础激励随机振动分析及并行计算

Parallel Computation of Large-Scale Random Vibration Analysis Under Single-Point Motion-Based Excitation

基础激励作用下的随机振动分析为结构动力学有限元计算中的一种主要分析类型,在实际结构分析中得到了广泛应用。基于模态叠加法,对基础运动激励下的随机振动核心算法理论进行了系统推导。基于JAUMIN框架并行数据结构,在PANDA平台下完成了大规模算法设计和并行程序研发。结合数值算例对随机振动响应分析模块进行了对比验证和大规模并行可扩展性测试。研究结果表明:所研发的随机振动分析软件与商业软件的计算结果完全吻合,在并行求解能力上可达到上亿自由度、上万核,远超出商业有限元软件的计算水平。

The random vibration analysis under the basic excitation is a kind of main analysis type in the finite element calculation of structural dynamics, and it has been widely used in practical structural analysis. Based on the modal superposition method,the random vibration algorithm theories under the basic motion excitation were systematically deduces. Based on the parallel data structure of JAUMIN framework,large-scale algorithm design and parallel program development were carried out under the PANDA platform. Numerical examples are given to verify the rightness as well as the largescale parallel scalabilities of the random vibration response analysis. The results show that the random vibration analysis software developed by us is in good agreement with the calculated results of commercial software,and can reach hundreds of millions of degrees of freedom,tens of thousands ofCPU cores in the parallel solution scalability,going far beyond the calculation level of commercial finite element software.