本文采用与时间有关的线性微扰理论，分别讨论了旋转气流、纵向气流的作用，以及它们共同的作用下电弧螺旋不稳定性的特征。
The linear time perturbation theory is used in this paper, the effects of rotary flow, axial flow and both of them to the arc stability are discussed respectively.
对于分段线性系统稳定性分析以及控制器的优化设计问题，本文给出了一种基于分段二次李雅普·诺夫函数的求解方法。
Based on a piecewise quadratic Lyapunov function, this paper presented a stability analysis and optimal controller design method for piecewise linear systems.
研究了该结构作为理想壳的非线性稳定性能，以及加荷过程中若干次屈曲后的结构位移形态。
The nonlinear behaviors of a perfect dome and its deflection shapes at several points after buckling are investigated.
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