典型文献
Internal resonance of an axially transporting beam with a two-frequency parametric excitation
文献摘要：
This paper investigates the transverse 3:1 internal resonance of an axially transporting nonlinear viscoelastic Euler-Bernoulli beam with a two-frequency paramet-ric excitation caused by a speed perturbation.The Kelvin-Voigt model is introduced to describe the viscoelastic characteristics of the axially transporting beam.The governing equation and the associated boundary conditions are obtained by Newton's second law.The method of multiple scales is utilized to obtain the steady-state responses.The Routh-Hurwitz criterion is used to determine the stabilities and bifurcations of the steady-state responses.The effects of the material viscoelastic coefficient on the dynamics of the trans-porting beam are studied in detail by a series of numerical demonstrations.Interesting phenomena of the steady-state responses are revealed in the 3:1 internal resonance and two-frequency parametric excitation.The approximate analytical method is validated via a differential quadrature method.
文献关键词：
中图分类号：
作者姓名：
Dengbo ZHANG;Youqi TANG;Ruquan LIANG;Yuanmei SONG;Liqun CHEN
作者机构：
School of Mechanical and Vehicle Engineering,Linyi University,Linyi 276000,Shandong Province,China;School of Mechanical Engineering,Shanghai Institute of Technology,Shanghai 201418,China;School of Mechanics and Engineering Sciences,Shanghai University,Shanghai 200072,China
文献出处：
引用格式：
[1]Dengbo ZHANG;Youqi TANG;Ruquan LIANG;Yuanmei SONG;Liqun CHEN-.Internal resonance of an axially transporting beam with a two-frequency parametric excitation)[J].应用数学和力学（英文版）,2022(12):1805-1820
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B类：
Internal,resonance,axially,transporting,beam,two,frequency,parametric,excitation,This,paper,investigates,transverse,internal,nonlinear,viscoelastic,Euler,Bernoulli,caused,by,speed,perturbation,Kelvin,Voigt,model,introduced,describe,characteristics,governing,equation,associated,boundary,conditions,are,obtained,Newton,second,law,method,multiple,scales,utilized,steady,state,responses,Routh,Hurwitz,criterion,determine,stabilities,bifurcations,effects,material,coefficient,dynamics,studied,detail,series,numerical,demonstrations,Interesting,phenomena,revealed,approximate,analytical,validated,via,differential,quadrature
AB值：
0.54475
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