Nonlinear vibrations of four-degrees of freedom for piezoelectric functionally graded graphene-reinforced laminated composite cantilever rectangular plate with PPF control strategy
The nonlinear vibration suppression of the piezoelectric functionally graded graphene-reinforced laminated composite cantilever (PFG-GRLCC) rectangular plate with positive position feedback (PPF) control strategy is investigated firstly. The material properties of the graphene-reinforced structure a...
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| Vydáno v: | Thin-walled structures Ročník 188; s. 110830 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.07.2023
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| Témata: | |
| ISSN: | 0263-8231 |
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| Abstract | The nonlinear vibration suppression of the piezoelectric functionally graded graphene-reinforced laminated composite cantilever (PFG-GRLCC) rectangular plate with positive position feedback (PPF) control strategy is investigated firstly. The material properties of the graphene-reinforced structure are calculated through the Halpin–Tsai micromechanical model. Considering the transverse external excitation and the converse effect of piezoelectricity, the governing equations of motion are formulated through von Karman large deformation theory, the classical laminated plate theory, and Hamilton principle. After adding the PPF controllers, a four-degrees of freedom model for the close-loop vibration control system is achieved via Galerkin truncation technique. The average equations in the case of the primary resonance and 1:1:3:3 internal resonance can be obtained using the multiple scale perturbation (MSP) method. The amplitude–frequency response curves are studied by the numerical continuation algorithm. The detailed parametric analyses show that the PPF controller can effectively reduce the nonlinear vibration response amplitudes of the PFG-GRLCC rectangular plate. In addition, the results reveal the energy transform between the host system and the PPF controller. This work is expected to provide theoretical guidance for nonlinear large amplitude vibration reduction of graphene-reinforced structure.
•The nonlinear vibration reduction of the PFG-GRLCC plate is proposed.•The primary resonance and the internal resonance case of the PFG-GRLCC plate with PPF controller are studied.•Piezoelectric patches are placed on the upper and lower surfaces of the FG-GRLCC plate as the actuators and sensors.•The four-degrees of freedom model for the close-loop vibration control system is achieved after adding the PPF controllers. |
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| AbstractList | The nonlinear vibration suppression of the piezoelectric functionally graded graphene-reinforced laminated composite cantilever (PFG-GRLCC) rectangular plate with positive position feedback (PPF) control strategy is investigated firstly. The material properties of the graphene-reinforced structure are calculated through the Halpin–Tsai micromechanical model. Considering the transverse external excitation and the converse effect of piezoelectricity, the governing equations of motion are formulated through von Karman large deformation theory, the classical laminated plate theory, and Hamilton principle. After adding the PPF controllers, a four-degrees of freedom model for the close-loop vibration control system is achieved via Galerkin truncation technique. The average equations in the case of the primary resonance and 1:1:3:3 internal resonance can be obtained using the multiple scale perturbation (MSP) method. The amplitude–frequency response curves are studied by the numerical continuation algorithm. The detailed parametric analyses show that the PPF controller can effectively reduce the nonlinear vibration response amplitudes of the PFG-GRLCC rectangular plate. In addition, the results reveal the energy transform between the host system and the PPF controller. This work is expected to provide theoretical guidance for nonlinear large amplitude vibration reduction of graphene-reinforced structure.
•The nonlinear vibration reduction of the PFG-GRLCC plate is proposed.•The primary resonance and the internal resonance case of the PFG-GRLCC plate with PPF controller are studied.•Piezoelectric patches are placed on the upper and lower surfaces of the FG-GRLCC plate as the actuators and sensors.•The four-degrees of freedom model for the close-loop vibration control system is achieved after adding the PPF controllers. |
| ArticleNumber | 110830 |
| Author | Jiang, Y. Lu, S.F. Zhang, Y.F. Zhang, W. |
| Author_xml | – sequence: 1 givenname: Y. surname: Jiang fullname: Jiang, Y. email: yuejiang_js@163.com organization: Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China – sequence: 2 givenname: W. surname: Zhang fullname: Zhang, W. email: sandyzhang9@163.com organization: Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China – sequence: 3 givenname: Y.F. surname: Zhang fullname: Zhang, Y.F. email: yufeizhang73@163.com organization: Department of Mechanics, GuangXi University, Nanning 530004, PR China – sequence: 4 givenname: S.F. surname: Lu fullname: Lu, S.F. email: shufenglu@163.com organization: Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, PR China |
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| Keywords | PFG-GR laminated composite cantilever rectangular plate Simultaneous resonance PPF control strategy Nonlinear vibration suppression Multiple scale perturbation method |
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| SubjectTerms | Multiple scale perturbation method Nonlinear vibration suppression PFG-GR laminated composite cantilever rectangular plate PPF control strategy Simultaneous resonance |
| Title | Nonlinear vibrations of four-degrees of freedom for piezoelectric functionally graded graphene-reinforced laminated composite cantilever rectangular plate with PPF control strategy |
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