Two degree-of-freedom oscillator coupled to a non-ideal source

被引：5

作者：

Cveticanin, L. ^{[1
,2
]}

Zukovic, M. ^{[2
]}

Cveticanin, D. ^{[3
]}

机构：

[1] Obuda Univ, Budapest, Hungary

[2] Univ Novi Sad, Novi Sad, Serbia

[3] Remming, Novi Sad, Serbia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 94卷

关键词：

Non-ideal two degree-of-freedom system; Resonant motion; Sommerfeld effect; RESONANCE CAPTURE; SYSTEM; FRAME; VIBRATIONS; BEHAVIOR;

D O I：

10.1016/j.ijnonlinmec.2017.03.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the paper the one-mass two degree-of-freedom system with non-ideal excitation is considered. The resonance motion of the system is investigated. The mathematical model of the system contains three coupled second order differential equations. In the paper an analytical solving procedure is developed. The steady-state motion and the criteria for stability of solutions are developed. Two special cases of motion depending on the frequency properties of the system are studied. When the frequency properties in both orthogonal direction are equal there is only one resonance. If the frequency in one direction is two times higher than in other two different resonances occur: one in x and the other in y direction. The conditions for jump phenomena and for Sommerfeld effect are presented. The analytically obtained solutions are compared with numerical ones. They show good agreement.

引用

页码：125 / 133

页数：9

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