| 消振器的数学原理 |
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| 引用本文： | 金均,卢亭鹤,杭永珍.消振器的数学原理[J].应用数学和力学,1986,7(4):335-342. |
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| 作者姓名： | 金均 卢亭鹤 杭永珍 |
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| 作者单位： | 上海师范大学数学系 |
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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.
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| 收稿时间： | 1985-01-15 |
The Mathematical Principles of Vibration Redactor |
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| Institution: | Shanghai Teachers University, Shanghai |
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| 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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