Nonlinear Parametric Resonance of a Fractional Damped Axially Moving String

被引：14
作者：
Yang, Tian-Zhi [1 ]
Yang, Xiaodong [2 ]
Chen, Fei [3 ]
Fang, Bo [1 ]
机构：
[1] Shenyang Aerosp Univ, Dept Astronaut, Shenyang 110136, Peoples R China
[2] Beijing Univ Technol, Sch Mech Engn, Shenyang 100022, Peoples R China
[3] Shenyang Aerosp Univ, Dept Engn Mech, Shenyang 110136, Peoples R China
来源：
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 2013年 / 135卷 / 06期
基金：
中国国家自然科学基金;
关键词：
axially moving string; fractional derivative Kelvin constitutive relation; nonlinear parametric resonance; steady-state response; TRANSVERSE VIBRATION; STABILITY;
D O I：
10.1115/1.4024779
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Nonlinear parametric vibration of an axially accelerating viscoelastic string is investigated. The string is constituted by the fractional Kelvin model. The principal parametric resonance is analyzed by using an asymptotic approach. The modulation equation is derived from the solvability condition. Closed-form expressions of the amplitudes and the existence conditions of steady-state responses are obtained from the modulation equation. Numerical examples are presented to highlight the effects of fractional order and other system parameters on the responses.
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页数：5
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