Free and parametric vibrations of an elastic ring structure induced by rotating internal and external time-varying excitations

Gao, Nan; Wang, Shiyu; Wang, Jixiang

doi:10.1007/s11071-022-07676-0

Cited by 5 publications

(3 citation statements)

References 35 publications

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“…Substituting (12) to (11), multiplying the resultant equation with 𝜓 i (x, y) and integrating it over the plate surface, one can drive…”

Section: System Control Functionmentioning

confidence: 99%

“…[1][2][3][4][5] Applications include high-speed milling, vehicle-bridge interaction, drum brakes, and so on. [6][7][8][9][10][11] Ouyang gave a comprehensive review of the dynamics of structures subjected to moving loads and their practical applications. 12 Fryba researched several analytic solutions for moving load problems.…”

Section: Introductionmentioning

confidence: 99%

“…Vibrations of structures subjected to moving loads have been of great interest to researchers due to the damage to structures such as material fatigue and resonance by vibrations subjected to moving loads during the last decades 1–5 . Applications include high‐speed milling, vehicle–bridge interaction, drum brakes, and so on 6–11 . Ouyang gave a comprehensive review of the dynamics of structures subjected to moving loads and their practical applications 12 .…”

Section: Introductionmentioning

confidence: 99%

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Vibration control of a thin rectangular plate subjected to moving masses using an adaptive sliding mode control method

et al. 2023

Intl J Robust & Nonlinear

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This study investigates the vibration control of a plate subjected to moving masses. The plate model reflects the dynamic behavior more accurately than the beam model which is usually used in the existing literature. However, the vibration control of plates subjected to moving masses is also more challenging as more degrees of freedom need to be taken into account. In addition, the measurement of system status and uncertainty problems in practical application is another nodus. In this paper, combining an adaptive sliding‐mode control (ASMC) strategy and a modal coordinate reconstruction (MCR) method, the MCR‐ASMC method is proposed. The MCR method is employed to capture the plate dynamic behavior for feedback to the ASMC. The ASMC strategy realizes vibration control through the adaptive updating of parameters. Numerical results demonstrate the effectiveness of the proposed method and excellent control performance in vibration suppression of moving mass problems.

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“…Substituting (12) to (11), multiplying the resultant equation with 𝜓 i (x, y) and integrating it over the plate surface, one can drive…”

Section: System Control Functionmentioning

confidence: 99%