Analyzing the effects of jump phenomenon in nonlinear vibration of thin circular functionally graded plates

被引：5
|
作者：
Allahverdizadeh, A. [1 ]
Oftadeh, R. [1 ]
Mahjoob, M. J. [1 ]
Soleimani, A. [2 ]
Tavassoli, H. [1 ]
机构：
[1] Univ Tehran, Sch Mech Engn, Noise Vibrat & Acoust NVA Res Ctr, Tehran, Iran
[2] Islamic Azad Univ, Dept Mech Engn, Najafabad Branch, Esfahan, Iran
来源：
ARCHIVE OF APPLIED MECHANICS | 2012年 / 82卷 / 07期
关键词：
Jump phenomenon; Nonlinear vibration; Functionally graded plates; 3-DIMENSIONAL FREE-VIBRATION;
D O I：
10.1007/s00419-011-0600-6
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, the nonlinear vibration of a thin circular functionally graded material plates is studied. The plate thickness is constant, and the material properties of the plate are assumed to vary continuously through the thickness. The governing equations and boundary conditions are extracted. The assumed-time-mode method is used to analyze these equations. The time variable is eliminated by assuming a harmonic response for nonlinear vibration and using Kantorovich time averaging technique. Utilizing shooting and Runge-Kutta methods, the set of first-order nonlinear differential equations are solved. The effect of volume fraction index in free and forced vibration response and jump phenomenon is studied. The results show that jump phenomenon occur according to volume fraction index and uniform temperature in the special frequencies of forced vibration response.
引用
收藏
页码：907 / 918
页数：12
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