Periodic and non-periodic combination resonance in kinematically excited system of rods

被引：10
|
作者：
Elnagger, AM [1 ]
El-Bassiouny, AF [1 ]
机构：
[1] Benha Univ, Fac Sci, Dept Math, Banha 13518, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 139卷 / 2-3期
关键词：
kinematically excited system; two-mode response; non-linear oscillation; Tondl's method; internal resonance; combination resonance;
D O I：
10.1016/S0096-3003(02)00162-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A theoretical investigation has been made of periodic and non-periodic combination resonances of the system of rods under vertical and horizontal kinematic excitations. The elements of the system are connected with articulated points. The coupling of the elements of the system through internal longitudinal forces, which are transverse forces at the ends of neighboring rods, are taken into account, The equations of motion are obtained from the Lagrange equations. The mathematical analysis of the equations of motion is accomplished by using Tondl's technique. The steady state solutions and their stability are determined. Resonance curves for the stationary states have been determined numerically. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：179 / 199
页数：21
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