Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load
-
摘要: 给出了均布载荷作用下夹层圆板的大幅度振动方程.按假设的时间模态导出了该问题的非线性耦合的代数和微分特征方程组,并利用修正迭代法求出了该方程组的近似解析解,得到了周边固定夹层圆板振动的幅频-载荷特征关系.讨论了载荷对非线性振动性态的影响.Abstract: The differential equations of the axisymmetric large amplitude free vibration for circular sandwich plates under static load are derived,and a set of nonlinearly coupled algebraic and differential eigenvalue equations of the problem are formulated following an assumed time mode approach suggested.The analytic solutions are presented and a relation for amplitude frequency-load of the plates with edge clamped is derived by modified iteration method.The effects of static load on vibrations of plates are investigated.
-
[1] 刘人怀.夹层圆板的非线性弯曲[J].应用数学和力学,1981,2(2):173~190. [2] 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. [3] 刘人怀,朱高秋.夹层圆板大挠度问题的进一步研究[J].应用数学和力学,1989,10(12):1041. [4] 刘人怀.夹层矩形板的非线性振动[J].中国科学A辑,1991,21(10):1075. [5] 刘人怀.简支夹层矩形板的非线性弯曲[J].应用数学和力学,1993,14(3):203~218. [6] 杜国君.夹层圆板的大幅度振动[J].应用数学和力学,1994,15(5):435~442. [7] 杜国君.夹层圆板大幅度振动的进一步研究[J].应用数学和力学,1996,17(11):1025~1031. [8] 周又和.中心集中力作用下圆薄板的固有频率-载荷特征关系[J].应用力学学报,1992,9(1):119. [9] 王晋莹,陈科进.具有初挠度的柔韧圆板的振动问题[J].应用数学和力学,1993,14(2):165~171. [10] 李东.正交各向异性旋转扁壳的非线性振动[J].应用数学和力学,1992,13(4):313~325. [11] Nayfeh A H,Mook D T.Nonlinear Oscillation[M].New York:John Wiley and Sons Inc,1979.
计量
- 文章访问数: 2386
- HTML全文浏览量: 187
- PDF下载量: 586
- 被引次数: 0