复合载荷作用下夹层圆板的非线性振动和屈曲

杜国君; 马建青

复合载荷作用下夹层圆板的非线性振动和屈曲

燕山大学建筑工程与力学学院,河北秦皇岛 066004

详细信息

作者简介:
杜国君(1961- ),男,黑龙江人,教授,博士(联系人.E-mail:dugj2002@yahoo.com).

中图分类号: O322
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- 被引次数: 0
出版历程
- 收稿日期: 2006-11-20
- 修回日期: 2007-05-18
- 刊出日期: 2007-08-15

Nonlinear Vibration and Buckling of Circular Sandwich Plate Under Complex Load

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

摘要

摘要: 基于von Karman薄板理论，建立了均布载荷和周边面内载荷联合作用下夹层圆板非线性振动问题的控制方程和滑动固定边界条件，给出了相应静力问题的精确解及其数值结果．基于时间模态假设和变分法，得到了空间模态的控制方程，并使用修正迭代法求解该方程，得到夹层圆板幅频-载荷特征关系．讨论了两种载荷对夹层圆板振动特性的影响规律．当周边面力使夹层圆板的最低固有频率为零时，就可获得临界载荷的值．
- 夹层圆板 /
- 非线性振动 /
- 屈曲 /
- 复合载荷 /
- 幅频-载荷特征关系
Abstract: The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condition were established by von K鄏m鄋 plate theory,and then accordingly exact solution of static load and its numerical results is given.Based on time mode hypothesis and the variational method,the control equation of the space mode was derived,and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method.Consequently the rule which the two kinds of load affected the vibration character of the circular sandwich plate was investigated.When circumjacent load makes the lowest natural frequency zero,critical load is obtained.
- circular sandwich plate /
- nonlinear vibration /
- buckling /
- complex load /
- amplitude frequency-load character relation

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参考文献(12)

[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]	刘人怀.板壳分析与应用[J].中国工程科学，2000,2(11):60-67.
[4]	刘人怀.夹层圆板的非线性弯曲[J].应用数学和力学，1980,2(2):173-190.
[5]	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.
[6]	杜国君，李慧剑.均布荷载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.
[7]	CHEN Chun-sheng.Large amplitude vibration of an initially stressed cross ply laminated plates[J].Applied Acoustics,2002,63(9):939-956. doi: 10.1016/S0003-682X(02)00015-4
[8]	Abde Rahman.Axisymmetric natural frequencies of statically loaded annular plates[J].Shock and Vibration,2003,10(5/6):301-312.
[9]	Nayfeh Ali H.Dynamic behavior of circular structural elements under thermal loads[A].Collection of Technical Papers-AIAA/ASMEASCE/AHS/ASC.In:Structura Dynamics and Materials Conference[C].3.2003,1950-1958.
[10]	Chung J.Nonlinear vibration of a flexible spinning disc with angular acceleration[J].J Sound Vibration,2000,231(2):375-391. doi: 10.1006/jsvi.1999.2718
[11]	Kimura Koichi.Vibration of pressure loaded nonlinear rectangular plates with cross stiffener[J].J Engrg Mech,2002,128(7):788-794. doi: 10.1061/(ASCE)0733-9399(2002)128:7(788)
[12]	叶开沅,叶志明,王新志.对“变厚度圆薄板在均布载荷下大挠度问题”解法的讨论[J].应用数学和力学，1985,6(3):285-287.