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本文在文献[3]的基础上,求得了GLP—1型高温真空拉压疲劳试验机动载荷控制系统的数学模型,证明了周期解的存在及唯一性命题:其频率等于机器的无阻尼固有圆频率ω_o,振幅可以任意地接近定幅元件的定幅距离B,证明了周期解的稳定性。并指出:只要按照一定的条件设计和调整系统的参数,就一定存在频率为ω_o的唯一自振荡。这个自振荡就自动的把机器驱动到并维持在共振的状态下工作,并且振幅X_o保持接近于B。从而论证了系统在理论上的合理性和在实际上的可行性,使该系统建立在系统的理论基础之上。本文所用的分析方法和所得的一些结果,也适用于其他的非线性系统。因为,只要它们的数学模型是一致的就行了。
Based on the literature [3], the mathematical model of the dynamic load control system of GLP-1 high temperature vacuum tension fatigue test was obtained. The existence and uniqueness of the periodic solution were proved. The frequency of the model is equal to the undamped inherent circle Frequency ω_o, the amplitude can be arbitrarily close to the fixed element of the fixed distance B, to prove the stability of the periodic solution. It is pointed out that if the parameters of the system are designed and adjusted according to certain conditions, there must be the only self-oscillation with frequency ω_o. This self-oscillation automatically drives and maintains the machine at resonance, and the amplitude X_o remains close to B. It proves that the system is reasonable in theory and practically feasible, so that the system is based on systematic theory. The analytical methods and some of the results obtained in this paper also apply to other nonlinear systems. Because, as long as their mathematical model is consistent on the line.