修正迭代法在波纹圆板非线性振动问题中的应用

李东; 刘人怀

修正迭代法在波纹圆板非线性振动问题中的应用

李东¹,
刘人怀²

1.
上海工业大学;
2.
上海市应用数学和力学研究所

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出版历程
- 收稿日期: 1988-10-25
- 刊出日期: 1990-01-15

Application of the Modified Iteration Method to Nonlinear Vibration of Corrugated Circular Plates

Li Dong¹,
Liu Ren-huai²

1.
Shanghai University of Technology;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

摘要

摘要: 在本文中,我们将修正迭代法成功地推广运用于全波纹圆板的非线性振动问题的研究,获得了全波纹圆板的非线性振频和振幅的解析关系式.本文还讨论了波纹圆板的几何参量对其振动特性的影响,本文结果对精密仪器弹性元件的设计具有一定的实际意义.

Abstract: In this paper, the modified iteration method is successfully exended to investigate the nonlinear free vibration of corrugated circular plates with full corrugations. The analytical relation for the amplitude-frequency response of corrugated circular plates is obtained and discussions on the influences of geometrical parameters on vibration behaviours of corrugated circular plates are made. The present results arc practically important in the design of elastic elements in precision instruments.

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参考文献(15)

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[2]	刘人怀,具有光滑中心的波纹圆板的特征关系式,中国科技大学学报,8, 2 (1979), 75.
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[13]	Liu,R.H.,and Li,D.,On the nonlinear bending and vibration of corrugated circular plates,International Journal of Non-Linear Mechanics,24(1989).(in press)
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