Parametrically excited axially accelerating viscoelastic beam subjected to time-varying axial speed, longitudinally varying axial tension and internal resonance

Raj, Sanjay Kumar; Sahoo, Bamadev; Nayak, Alok Ranjan; Panda, L. N.

doi:10.1016/j.ijnonlinmec.2022.104213

Cited by 6 publications

(1 citation statement)

References 43 publications

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“…Currently, the research of nonlinear systems with multiple degrees of freedom mainly focuses on modeling and solving rotating shaft systems, automobile suspension systems, and bridge stay cable systems [23][24][25][26][27][28]. The multi-scale method is often used to solve nonlinear vibration of systems with multiple degrees of freedom, and a few scholars have proposed other analytical methods [29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Research on nonlinear dynamic characteristics of double-deck vibrating flip-flow screen

Liu

2023

Preprint

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The double-deck vibrating flip-flow screen is taken as the study case, and the dynamic equations, including cubic nonlinear stiffness, are established. The equation in the physical coordinates is transferred to the modal coordinates to study the nonlinear vibration characteristics of the system in resonance, which is analyzed by the multi-scale method. Then, the amplitude-frequency tuning parameter response equation is obtained. The influence of system parameters on the nonlinear system is discussed by solving the amplitude-frequency tuning parameter response equation. It is found that increasing the damping or reducing the harmonic force will suppress the system’s multiple solutions and vibration jumps. Numerical methods are adopted to verify the accuracy of the perturbed solution in both the frequency domain and time domain. Considering that the nonlinear stiffness has little influence in the slightly distant single-valued response resonance region, the displacement response of the double-deck vibrating flip-flow screen in the original physical coordinates system is obtained based on the superposition principle. The amplitude of the main screen frame is 7 mm, and the amplitude of the upper and lower floating frame is 9.4 mm and 5.6 mm, respectively. The phase between the main screen frame and the upper and lower floating frame is 180°, which realizes the stretching and slackening of the deck. This paper guides the design of double-deck vibrating flip-flow screens.

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Section: Introductionmentioning

confidence: 99%

Research on nonlinear dynamic characteristics of double-deck vibrating flip-flow screen

Liu

2023

Preprint

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Nonlinear forced vibration and stability of an axially moving beam with a free internal hinge

Liu,

Yao

2024

Nonlinear Dyn

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Primary parametric resonance, stability analysis and bifurcation characteristics of an axially moving ferromagnetic rectangular thin plate under the action of air-gap field*

Hu,

Tian

2024

Nonlinear Dyn

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Parametrically excited axially accelerating viscoelastic beam subjected to time-varying axial speed, longitudinally varying axial tension and internal resonance

Cited by 6 publications

References 43 publications

Research on nonlinear dynamic characteristics of double-deck vibrating flip-flow screen

Research on nonlinear dynamic characteristics of double-deck vibrating flip-flow screen

Nonlinear forced vibration and stability of an axially moving beam with a free internal hinge

Primary parametric resonance, stability analysis and bifurcation characteristics of an axially moving ferromagnetic rectangular thin plate under the action of air-gap field*

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