Forced vibration control of Timoshenko’s micro sandwich beam with CNT/GPL/CNR reinforced composites integrated by piezoelectric on Kerr’s elastic foundation using MCST
Document Type : Research Paper
Authors
1 PhD Student, Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Ghotb Ravandi Blvd., Kashan, Iran
2 Professor Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Ghotb Ravandi Blvd., Kashan, Iran
Abstract
In the present article, forced vibration control of Timoshenko’s micro sandwich beam based on modified couple stress theory (MCST) is studied. The face sheets are made of three-phase reinforced nanocomposite including resin, piezoelectric and CNT\CNR\GPL materials, and top and bottom layers operate as actuator and sensor, respectively. The micro sandwich beam is placed on Kerr’s foundation and subject to harmonic force with resonance excitation frequency. By considering the equations of motion in the state-space form and using LQR, the amplitude of forced vibrations of the micro beam is optimized. Furthermore, the effects of various parameters including the volume fraction of CNT, GPL and CNR, three parameters of Kerr’s elastic foundation and three natural frequency modes on the suppression and settling time and forced vibration response of a micro sandwich beam is investigated. In this research, for various types and volume fractions of nanocomposites, the second and third natural frequency modes increase 3.5 and 6.7 times, respectively, compared to first natural frequency mode. Also, the Kerr foundation increases the first, second and third mode of natural frequency by about 46%, 13.1% and 7.7%, respectively.
Keywords
- Vibration control
- Micro sandwich Timoshenko beam
- MCST
- LQR
- Various nanocomposites
- Kerr’s elastic foundation
- Integrated by piezoelectric
Main Subjects
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[26] X. G. Sun, W. C. Chi, Y. Q. Wang, Linear active disturbance rejection control algorithm for active vibration control of piezo-actuated beams: Theoretical and experimental studies, Thin-Walled Structures, Vol. 199, pp. 111782, 2024.
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[34] M. Soltani, J. J. Fesharaki, S. A. Galehdari, R. T. Esfahani, M. Shahgholi, A comprehensive evaluation of the vibration control approach of the multi-layer sandwich composite piezoelectric micro-beam using higher-order elasticity theory and surface energy, in Proceeding of, Elsevier, pp. 105880.
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[36] M. Jafari Niasar, A. A. Jafari, M. Irani Rahaghi, S. Mohammadrezazadeh, Active control of free and forced vibration of a rotating FG cylindrical shell via FG piezoelectric patches, Mechanics Based Design of Structures and Machines, Vol. 52, No. 7, pp. 3900-3924, 2024/07/02, 2024.
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Volume 56, Issue 1
January 2025Pages 15-42
- Receive Date: 16 October 2024
- Revise Date: 12 November 2024
- Accept Date: 15 November 2024