Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load

DU Guo-jun; MA Jian-qing

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(10): 1243-1249

DU Guo-jun, MA Jian-qing. Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1243-1249.

Citation:

DU Guo-jun, MA Jian-qing. Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1243-1249.

Citation:

DU Guo-jun, MA Jian-qing. Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1243-1249.

PDF( 299 KB)

Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load

School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

Received Date: 2005-09-20
Rev Recd Date: 2006-06-13
Publish Date: 2006-10-15

Abstract

Abstract

Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition is researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.
- sandwich plate,
- nonlinear vibration,
- critical load,
- buckling,
- amplitude frequency-load characteristic relation

FullText(HTML)

References(8)

References

[1]	刘人怀,李东,袁鸿.正交异性扁薄球壳的轴对称非线性振动[J].振动工程学报,2005,18(4):395—405.
[2]	陈炎，刘人怀.压电矩形薄板的非线性强迫振动[J].华南理工大学学报,2003,31(S):63—66.
[3]	Lishakoff I,Birman V, Singer J.Small vibration of an imperfect panel in the vicinity of a nonlinear static state[J].J Sound Vibration,1987,114(1):57—63. doi: 10.1016/S0022-460X(87)80233-X
[4]	周又和.圆薄板在周边面内压力下的自由振动、屈曲和后屈曲[J].兰州大学学报（自然科学版）,1993,29(4):57—62.
[5]	杜国君，李慧剑.均布载荷作用下夹层圆板的非线性振动[J].应用数学和力学,2000,21(2):192—200.
[6]	杜国君，田雨宝.均布载荷作用下夹层圆板的载荷-频率特征关系[J].工程力学，1997,14(2):139—143.
[7]	杜国君. 夹层圆板的大幅度振动[J].应用数学和力学，1994,15(5):435—441.
[8]	刘人怀，施云方.夹层圆板大挠度问题的精确解[J].应用数学和力学，1982,3(1):11—23.