Nonlinear vibration of axially accelerating three parameter viscoelastic beams using integral transform approach

Parametric resonances of axially moving viscoelastic beams are studied. On the basis of Newton’s second law of motion, governing equation of transverse vibration of axially moving beams is derived, and simple supported boundary condition is assumed. The viscoelastic property of beams is described by...

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Main Authors Wang, Bo, Zhang, Lanxin, Shen, Yu
Format Conference Proceeding
LanguageEnglish
Published SPIE 18.07.2023
Online AccessGet full text
ISBN1510667326
9781510667327
ISSN0277-786X
DOI10.1117/12.2688792

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Abstract Parametric resonances of axially moving viscoelastic beams are studied. On the basis of Newton’s second law of motion, governing equation of transverse vibration of axially moving beams is derived, and simple supported boundary condition is assumed. The viscoelastic property of beams is described by three parameter constitutive relation. Parametric vibration of axially moving beams is caused during axial speed subject to harmonic disturbance. For the further analysis, integral transform approach is used to numerically solve the governing equation of axially moving beams. Integral transform approach is numerical method for solving extensively partial differential equation. Integral nonlinear term is dealt with by using Gauss-Legendre integration. Numerical instances showed time histories of linear and nonlinear parametric vibration. The stability of linear system and steady-state response of nonlinear system are investigated.
AbstractList Parametric resonances of axially moving viscoelastic beams are studied. On the basis of Newton’s second law of motion, governing equation of transverse vibration of axially moving beams is derived, and simple supported boundary condition is assumed. The viscoelastic property of beams is described by three parameter constitutive relation. Parametric vibration of axially moving beams is caused during axial speed subject to harmonic disturbance. For the further analysis, integral transform approach is used to numerically solve the governing equation of axially moving beams. Integral transform approach is numerical method for solving extensively partial differential equation. Integral nonlinear term is dealt with by using Gauss-Legendre integration. Numerical instances showed time histories of linear and nonlinear parametric vibration. The stability of linear system and steady-state response of nonlinear system are investigated.
Author Zhang, Lanxin
Wang, Bo
Shen, Yu
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  organization: Shanghai Institute of Technology (China)
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Copyright COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.
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DOI 10.1117/12.2688792
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Editor Yu, Bin
Wang, Yun
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  organization: Jiangsu Univ. (China)
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Notes Conference Date: 2023-05-26|2023-05-28
Conference Location: Nanjing, China
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Snippet Parametric resonances of axially moving viscoelastic beams are studied. On the basis of Newton’s second law of motion, governing equation of transverse...
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Title Nonlinear vibration of axially accelerating three parameter viscoelastic beams using integral transform approach
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