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The vibro-impact systems are familiar with the non-smooth dynamic systems.The dynamics research of the vibro-impact systems not only is significant in theory but also has practical values in engineering.Firstly,using the Poincaré map method,we get an existent criterion of single impact period-n motion in a two-degree-of-freedom vibro-impact system with damper.It is shown that our conclusions are valid through the numerical simulations.Moreover,the satiability of periodic motions is studied and the correspon...

基于Poincaré映射的方法,通过解析的方法导出了一类具有阻尼的两自由度碰撞振动系统的单碰周期n次谐运动存在性判据,经过数值模拟验证了理论分析的正确性,并给出了分析其稳定性的判别公式,通过数值模拟,讨论系统的局部分岔与全局分岔,同时比较了系统参数变化对其周期运动的影响,发现在强阻尼、弱激励、小质量比、较大恢复系数下系统将会出现较多的有规律的周期碰撞。

Finally, the problem of the stress release of the expansive soil roadbed slope in the excavation process and the failure criterion in the sliding simulation are discussed. The synthetic criterion for the unstable slope is proposed. The dynamic simulated analyses on the stability of the expansive soil roadbed slope in the process of digging, fore-and-after of soaking and different soaking depth have been carried out.

最后,讨论了膨胀土路堑边坡开挖过程中的应力释放问题和边坡模拟过程中的失稳判据问题,提出了边坡失稳的综合判别依据;对膨胀土路堑边坡进行了开挖过程中和浸水前后以及不同浸水深度时的稳定性的动态模拟分析。

At the same time, the sufficient and necessary conditions for holding the control system robust stability are analyzed, and the stability criterion in terms of the spectral radius is presented.

分析了控制系统保证鲁棒稳定性的充要条件,给出基于谱半径的稳定判据。

The voltage stability's improvement has also been studied, and the new voltage stability's criterion has been proposed.

当然,提高和改善电压稳定性是我们研究的一个重点,为此本文还提出了一个新的有实用价值的电压稳定判据。

Based on dq model in the unified reference frame, at first the steady-state dq model in the stator power winding synchronous speed reference frame was obtained; next the method of the static stability analysis was presented and the small signal model was developed, and then the stability condition was given by means of Lyapunov theorem and the input conditions of different control strategies were studied.

在其任意坐标系下dq模型的基础上,推导出功率绕组同步速坐标系下稳态dq模型;提出一种静态稳定性分析的方法,并建立小信号模型;由李雅普诺夫稳定判据得出电机稳定运行的条件,并且根据不同的控制策略讨论其输入条件。

All model and criterion above have been applied and verified in the typical colluvial landslides and all the predicting results are basically agreed with the practical stability situation. Therefore, it is proved that the prediction theories and methods put forward in the dissertation are reliable and effective.

以上所提出的预测模型、判据及参数均在长江三峡区典型堆积层滑坡预测中得到了应用与验证,预测结果均与滑坡实际稳定性状况相符合,从而证明上述所提出的理论方法的可靠性和有效性。

Chapter 3 gives some criterions on the controllability, observability and stability of CSTR system.

第三章系统研究了非线性CSTR系统的可控性,可观测性以及系统稳定性,获得了几个重要的判据。

Based on the dynamical system of a tuberculosis spread m odel, the dynamical behavior of a tuberculosis spread model with constant immigr ation was discussed, and the local and global asymptotic stability of the endemi c equilibrium on this model is studied by using Hurwitz criterion and multiple m atrix theory. Sufficient conditions for the local and global asymptotically stab ility of the endemic equilibrium on this model are obtained.

在结核病传播的数学模型的动力学系统基础上,利用 Hurwitz 判据和复合矩阵理论,讨论了具有常数移入的结核病传播的数学模型的动力学性质,研究了具有常数移入的结核病模型的地方病平衡点的局部和全局渐近稳定性,得到了具有常数移入的结核病模型的地方病平衡点是局部和全局渐近稳定的充分条件。

Moreover, the stability and bifurcation of periodic motions are studied by means of computing the eigenvalues of its Jacobi matrix.

数值模拟表明了超谐周期运动的存在性判据的正确性,并通过计算Jacobi矩阵特征值可判断周期运动的稳定性及分岔。

Stability analysis of nonlinear magnetic suspension, the magnetic suspension system model was found based on electromagnet dynamics and voltage balance of the electromagnet coil; The feedback of position and velocity and current are used as the control variable; After the control rule was applied to the electromagnetic system, the louts criterion was used to get the range of the control parameter in which the system was steady-going.

非线性磁悬浮系统的稳定性分析,通过电磁铁动力学和电磁线圈的电压平衡方程,建立磁悬浮系统基本模型。求出系统奇点后,通过系统线性展开求出系统矩阵。用PD控制外加电流反馈量,将控制规律带入系统模型方程组求出矩阵的特征方程,由劳斯判据得知非线性系统稳定的位置反馈系数及取值范围。

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