摘要
从系统的特征方程出发推导出一个新的计算动力缩聚矩阵的迭代公式 .与目前广泛使用的改进逐级近似法的迭代公式相比较 ,此迭代公式更简单 .通过大量的数值计算还发现它的收敛速度也更快 .它优于改进逐级近似法的迭代公式 ,尤其在惯性作用明显和 (或 )缩聚的自由度很大的情况下 ,它的计算效率可以提高 10倍以上 .
Based on the system eigenequation,a new iterative formula calculating the dynamic reduction matrix is deduced.Compared with the widely used iterative formula of improved successionlevel approximate reduction(SAR) method,this is much simpler.Its convergence rate is also much quicker than that of the iterative formula of SAR method,which can be testified by a mass of numerical calculation.It is better than the iterative formula of SAR method,especially when the inertial effect is obvious,and (or) when many degrees of freedom are reduced.Here,a numerical example is provided to testify this opinion.
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2002年第6期40-43,共4页
Journal of Lanzhou University(Natural Sciences)
关键词
动力缩聚
有限元模型
模型降价
频率
模态
iterative dynamic reduction
finite element model
model reduction
natural frequency
mode shape