Two-to-one internal resonances in continuous systems with arbitrary quadratic nonlinearities

被引：0
|
作者：
Pakdemirli, M [1 ]
Özkaya, E
机构：
[1] Celal Bayar Univ, Dept Mech Engn, TR-45140 Manisa, Turkey
[2] King Fahd Univ Petr & Minerals, Dept Mech Engn, Dhahran 31261, Saudi Arabia
来源：
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2004年 / 29卷 / 1C期
关键词：
vibrations; continuous systems; internal resonances;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Vibrations of a general continuous system with arbitrary quadratic nonlinearities are considered. The nonlinearities are expressed in terms of arbitrary quadratic operators. The two-to-one internal resonance case is considered. A general approximate solution is presented for the system. Amplitude and phase modulation equations are derived. Steady state solutions and their stability are discussed in the general sense. The sufficiency condition for such resonances to occur is derived. Finally the algorithm is applied to a specific problem.
引用
收藏
页码：99 / 112
页数：14
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