消振器的数学原理
The Mathematical Principles of Vibration Redactor
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摘要: 在工程技术中往往采用消振器来消除自激振荡,使设备或机器不受损坏.本文给出了一个消振器的数学模式 我们讨论了如何适当选取方程组(*)的参数c1,k1,k2,使其零解是全局渐近稳定的,得到了方程组(*)的零解全局渐近稳定的若干定理.Abstract: In engineering and technology,it is often demanded that self-oscillation.be eliminated.50 that the equipment or machinery may not be damaged.In this paper,a mathematical model for reducing vibration is given by the following equations: We have discussed how to choose suitable parameters c1,k1,k2 of equations(*),so as to make the zero solution to be of global stability.Several theorems on the global stability of the zero solution of equations(*)are also given.
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[1] Плисс В.А.,Некоморые Проблемы Теорцц Усмочйвосмц Двцженця в Целом,Изд-во ЛГУ(1958). [2] Барбшин Е.А.,Функццц Ляпунова,《Наука》(1970). [3] Попов В.М.,Об ослабленеии достаточных условии абсолютой устойчнвости,А.Т.М.,19,1(1958). -
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