大型结构动力特性的Lanczos算法程序设计

Structure dynamic analysis based on Lanczos algorithms

本文针对大型结构动力分析中结构总体刚度矩阵的对称性和稀疏性,使用稀疏矩阵数据管理方法实现并优化了Lanczos算法,显著地降低了Lanczos算法的时间和空间复杂度,并将该算法应用到大型结构动力学特性计算问题中经算例测试表明了该算法实施的正确性、可靠性和实用性.

In this paper, the sparse storage structure is used to implement sparse matrix management and Lanczos algorithm program in order to reduce CPU consumption and storage space complexity. Lanczos algorithm is used to solve the basic dynamic quality problem of large scale structure. Numerical examples show that this algorithm is effective, reliable and applicable.