文中建议了一种判定工程实际问题之非线性数值积分稳定性的实用办法,并成功地应用于重载列车动力学分析。
In the paper, a criterion is also presented to determine the numerical stability of any integration method solving complex nonlinear problems from engineering practice.
在结构动力分析中提出了建立冲量方程并求解的方法,给出了该方法的积分格式并讨论了其数值稳定性、精度等数值特性。
Both the impulse equations of structural dynamics and the solution were established, and the (numerical) stability and accuracy of the integral formulation were also discussed.
数值积分法通过求解电力系统的动态方程组分析暂态稳定性,因此需要建立电力系统的动态数学模型。
Transient stability analysis based on numerical integration method is applied by solving the dynamic equations, so models of power system are required.
电力系统稳定性问题的求解,迄今主要有两种方法:逐步积分的数值解法和利用李雅普·诺夫直接法理论的求解法。
There are mainly two kinds of method to solve the stability issue of electric power sys-tem thus far, one is step by step integral method, the other is directive method based on Liyapunov theory.
本文在严格、完整的基础上,利用矩阵范数理论研究了结构非线性动力分析中数值积分格式的稳定性问题,给出了判别单自由度非线性动力方程积分格式稳定性的一般数学准则。
The problem of stability in the numerical integration schemes of nonlinear dynamic analysis of structures is discussed by using matrix and norm theory on a rigorous and complete basis in this paper.
几个典型数值算例表明,利用本文方法求解时域积分方程的结果具有非常好的后时稳定性和精确性,并且对低频成份、高频成份不敏感。
Several numerical results show that the proposed method is stable and accurate, and it is nearly not sensitive to the high -, low-frequency component of the incidence wave.
几个典型数值算例表明,利用本文方法求解时域积分方程的结果具有非常好的后时稳定性和精确性,并且对低频成份、高频成份不敏感。
Several numerical results show that the proposed method is stable and accurate, and it is nearly not sensitive to the high -, low-frequency component of the incidence wave.
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