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

Bo Wang; Lanxin Zhang; Yu Shen

doi:10.1117/12.2688792

18 July 2023 Nonlinear vibration of axially accelerating three parameter viscoelastic beams using integral transform approach

Bo Wang, Lanxin Zhang, Yu Shen

Author Affiliations +

Proceedings Volume 12744, Second International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2023); 127441T (2023) https://doi.org/10.1117/12.2688792
Event: Second International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2023), 2023, Nanjing, China

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.

Citation Download Citation

Bo Wang, Lanxin Zhang, and Yu Shen "Nonlinear vibration of axially accelerating three parameter viscoelastic beams using integral transform approach", Proc. SPIE 12744, Second International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2023), 127441T (18 July 2023); https://doi.org/10.1117/12.2688792

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