Nonlinear Parametric Resonance of a Fractional Damped Axially Moving String - 文章详情页

作者：

Yang, Tian-Zhi (Yang, Tian-Zhi.) | Yang, Xiaodong (Yang, Xiaodong.) (学者：杨晓东) | Chen, Fei (Chen, Fei.) | Fang, Bo (Fang, Bo.)

收录：

EI Scopus SCIE

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.

关键词：

nonlinear parametric resonance axially moving string fractional derivative Kelvin constitutive relation steady-state response

作者机构：

[ 1 ] [Yang, Tian-Zhi]Shenyang Aerosp Univ, Dept Astronaut, Shenyang 110136, Peoples R China
[ 2 ] [Fang, Bo]Shenyang Aerosp Univ, Dept Astronaut, Shenyang 110136, Peoples R China
[ 3 ] [Yang, Xiaodong]Beijing Univ Technol, Sch Mech Engn, Shenyang 100022, Peoples R China
[ 4 ] [Chen, Fei]Shenyang Aerosp Univ, Dept Engn Mech, Shenyang 110136, Peoples R China

通讯作者信息：

[Yang, Tian-Zhi]Shenyang Aerosp Univ, Dept Astronaut, Shenyang 110136, Peoples R China

电子邮件地址：

yangtz@me.com

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