On the response of purely nonlinear oscillators: An Ateb-type solution for motion and an Ateb-type external excitation

被引：6
|
作者：
Kovacic, Ivana [1 ]
机构：
[1] Univ Novi Sad, Ctr Excellence Vibroacoust Syst & Signal Proc, Fac Tech Sci, Novi Sad 21000, Serbia
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 92卷
关键词：
Pure nonlinearity; Ateb function; External excitation; Exact solution;
D O I：
10.1016/j.ijnonlinmec.2017.03.007
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This study is concerned with free and forced undamped purely nonlinear oscillators. First, the exact closed-form solution for free vibrations given in terms of the Ateb function is discussed. An insight is provided with respect to the period of vibrations and the harmonic content of the response. Then, forced purely nonlinear oscillators with an Ateb-type external excitation are considered. The exact solution for the forced response is obtained, the amplitude-frequency equation derived and frequency-response curves investigated. It is also shown how one can adjust the system parameters to cause a constant frequency/period of the forced response.
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页码：15 / 24
页数：10
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