The Mathematical Principles of Vibration Redactor

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Jin Jun, Lu Ting-he, Hang Yong-zhen. The Mathematical Principles of Vibration Redactor[J]. Applied Mathematics and Mechanics, 1986, 7(4): 335-342.

Citation:

Jin Jun, Lu Ting-he, Hang Yong-zhen. The Mathematical Principles of Vibration Redactor[J]. Applied Mathematics and Mechanics, 1986, 7(4): 335-342.

Citation:

Jin Jun, Lu Ting-he, Hang Yong-zhen. The Mathematical Principles of Vibration Redactor[J]. Applied Mathematics and Mechanics, 1986, 7(4): 335-342.

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.

[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).