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Nonlinear Forced Vibration of a Concentrated Mass Loaded Axially Moving Plate Considering the Gravity Effect

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Abstract

Purpose

Considering the transportation structure in the factory is responsible for transporting materials, thus when analysing the axially moving characteristics of the conveyor belt in operation, the effect of the load must be considered.

Methods

Based on Von Karman’s nonlinear plate theory, the motion equations of the system are established using the assumed mode method and Hamilton’s principle. The effects of the concentrated mass positions on the dynamic characteristics of the system are analyzed. The stability properties of the system are analyzed by solving the generalized eigenvalue problem. The amplitude–frequency response curves of the transverse generalized displacements of the system are drawn and analyzed by numerical calculation.

Results

The effects of the concentrated mass position, the axially moving velocity, and the external excitation amplitude on the nonlinear amplitude–frequency responses of the system are studied. The results show that the concentrated mass position has significant effects on the natural frequency of the system. All the amplitude–frequency response curves of the system under the harmonic excitation show the hardening type nonlinearity. The concentrated mass and the axially moving velocity have a great influence on the first- and second-order resonances of the system. With the excitation amplitude, axially moving velocity, and concentrated mass changing, the system appears complex nonlinear response phenomena.

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Data Availability

The data that support the findings of this study are available from the corresponding author on reasonable request.

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Acknowledgements

This research is supported by the Natural Science Foundation of Liaoning (2020-MS-092).

Funding

The funding has been received from Natural Science Foundation of Liaoning Province with Grant no. 2020-MS-092.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Mingjun Song & Guo Yao

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  1. Mingjun Song
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  2. Guo Yao
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Correspondence to Guo Yao.

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Song, M., Yao, G. Nonlinear Forced Vibration of a Concentrated Mass Loaded Axially Moving Plate Considering the Gravity Effect. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01299-y

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  • DOI: https://doi.org/10.1007/s42417-024-01299-y

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