李大华. 振动计算连锁公式法反演的数值稳定性[J]. 工程力学, 1991, 8(3): 77-85.
引用本文: 李大华. 振动计算连锁公式法反演的数值稳定性[J]. 工程力学, 1991, 8(3): 77-85.
Li Dahua. NUMERICAL STABILITY OF IVERSE ALGORITHM OF SUCCESSIVE FORMULA METHOD FOR DYNAMIC RESPONSE·ANALYSIS[J]. Engineering Mechanics, 1991, 8(3): 77-85.
Citation: Li Dahua. NUMERICAL STABILITY OF IVERSE ALGORITHM OF SUCCESSIVE FORMULA METHOD FOR DYNAMIC RESPONSE·ANALYSIS[J]. Engineering Mechanics, 1991, 8(3): 77-85.

振动计算连锁公式法反演的数值稳定性

NUMERICAL STABILITY OF IVERSE ALGORITHM OF SUCCESSIVE FORMULA METHOD FOR DYNAMIC RESPONSE·ANALYSIS

  • 摘要: 本文讨论了振动计算等时间步长连锁公式反演的数值稳定性,结果表明,相对加速度反演公式是不稳定的;绝对加速度和相对位移反演公式是条件稳定的;相对速度反演公式是无条件稳定的;文末对连锁公式反演的应用问题进行了初步地讨论。

     

    Abstract: It is discusssed that the numerical stability of iverse algorithm of successive formula method for dynamic response analysis in equal time interval case. The results show that the iverse formula of the relative acceleration is instable, the one of the absolute acceleration or the relative displacement is conditionally stable, and the relative velocity is unconditionally stable. It is discussed on preliminary application problems of the algorithm in the end of the paper.

     

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