Nonlinear vibration control effects of membrane structures with in-plane PVDF actuators: A parametric study

Lu, Yaojuan; Shao, Qi; Amabili, Marco; Yue, Honghao; Guo, Hongwei

doi:10.1016/j.ijnonlinmec.2020.103466

Cited by 31 publications

(6 citation statements)

References 25 publications

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“…A closed-loop membrane mirror shape control system is set up and a surface shape control method based on an influence function matrix of the mirror is then investigated [21]. To analyze the nonlinear dynamic characteristics of the membrane, the theoretical and approximate solutions of nonlinear frequencies of the membrane are obtained, and the discrepancies between the two solutions under different vibration amplitudes are discussed [22].…”

Section: Schematic Of Membrane Subjected a Central Concentrated Loadmentioning

confidence: 99%

A Theoretical Study of Circular Orthotropic Membrane Under Concentrated Load: The Relation of Load and Deflection

Huang

Song

et al. 2020

IEEE Access

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In this study, the deformation of circular orthotropic membranes subjected to a central concentrated force is investigated. An orthotropic membrane equation indicating load-deflection behavior based on Föppl-von Kármán membrane theory is obtained and the numerical solutions are gotten by using MATLAB. A variable k, which is the most influential parameter on the load-deflection behavior, is proposed. In isotropic membrane, the change of material parameters mainly influences the deflection of membranes subjected to a concentrated force; however, when studying for orthotropic membrane, the shape of membrane after deformation can be controlled by changing the value of k. Only change in elastic modulus and Poisson's ratio, with k constant, mainly influence the deflection of curves, instead of the shape of curves. Then, four numerical simulations by ABAQUS are conducted and the membrane element M3D4R is used to set up a finite-element model. By comparing these simulation results with the solutions from orthotropic membrane equation, it is shown that the orthotropic membrane equation gives a good estimation of load-deflection behavior. INDEX TERMS load-deflection curve, orthotropic membrane, central concentrated load, membrane element M3D4R.

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Section: Schematic Of Membrane Subjected a Central Concentrated Loadmentioning

confidence: 99%

A Theoretical Study of Circular Orthotropic Membrane Under Concentrated Load: The Relation of Load and Deflection

Huang

Song

et al. 2020

IEEE Access

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“…Liu et al analytically and experimentally proved the multi-layer DEA can improve vibration control effect for a thin cantilever plate [39,40]. Young et al applied a DEA to suppress the vibration of a membrane structure [42][43][44] subjected to noncontact laser excitation as an external disturbance [41,[45][46][47]. Given these studies, the active vibration control effect using DEAs for structures with curved surfaces should be evaluated to further investigate the applicability of DEAs.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control for thin curved structures using dielectric elastomer actuators

Hiruta,

Ishihara,

Hosoya

et al. 2024

Smart Mater. Struct.

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This study proposes an active vibration control technique for pipe structures using dielectric elastomer actuators (DEAs). Vibrations in pipe structures must be eliminated to improve their mechanical reliability, and active vibration control techniques can be applied for effective vibration suppression. Soft actuators, which can completely fit pipe structures with complex-shaped surfaces, are required to transfer their vibration reduction forces to the target. DEA is suitable for this kind of target structure because DEA is characterized by high stretchability, flexibility, large deformation, and fast response. By applying the DEA, the effectiveness of vibration control for the pipe structure was experimentally demonstrated. A stacked DEA was fabricated and attached to the target structure. Its shape and placement were determined based on a modal analysis of the target structure. A control system, in which the controller for the active vibration control was designed based on H ∞ control theory, was composed. The vibration control experiment was conducted using the controller with a digital control system, and the vibration reduction effect was evaluated based on the frequency response of the target pipe structure.

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“…In the part of piezoelectric actuators, the traditional piezoelectric ceramic is fragile, and it is hard to adhere to a curvature shell. The polyvinylidene fluoride (PVDF)s' actuation forces are low, which are usually applied for controlling the vibrations of membrane structures and thin shells made of low modulus material [18][19][20]. Macro-fiber composites (MFCs) are not only flexible, but they have relatively larger output force also.…”

Section: Introductionmentioning

confidence: 99%

Multi-mode Vibration Averagely Control for Cylindrical Shells by Optimally Distributed Piezoelectric Sensors and Actuators

Guo

et al. 2022

J. Vib. Eng. Technol.

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Purpose Multi-modal vibration control often causes modal peaks' reductions unevenly, which makes the active vibration suppression system less effective to the broadband disturbance. To this end, a multi-mode vibration average suppression method for cylindrical shells with optimally distributed piezoelectric sensors and actuators (S/As) is proposed in this paper. Methods Based on the equivalent homogenized parameters of the macro-fiber composite (MFC), the modal control force of MFC with a tilt angle is derived. Its form is similar to that of the modal sensing signal with a tilt angle. A modified S/As placement optimization criterion of maximum observability and controllability for average distribution of the control efficiencies of multi-mode is also proposed. Thus, an optimization model of considering the positions and orientations of orthotropic piezoelectric S/As for the cylindrical shell multi-mode vibration control is established. Result The proposed method is applied to optimize the S/As distribution of a cantilever cylindrical shell. The results of optimization placement show that the S/As are placed near the free ends, their tilt angles tend to π/2 rad. To valid the effectiveness of optimized S/As distribution, a linear quadratic Gaussian (LQG) controller with Kalman filter is applied to control the response of cylindrical shell under the harmonic and transient excitations. Conclusion The vibration control system with S/As distribution optimized by the modified criterion could suppress all the response peaks more averagely than that under the original criterion, and achieve better vibration control performance. In addition, including the tilt angle in the optimization problem, the efficiency and the uniformity of the multi-mode vibration suppression system could be improved.

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Nonlinear vibration control effects of membrane structures with in-plane PVDF actuators: A parametric study

Cited by 31 publications

References 25 publications

A Theoretical Study of Circular Orthotropic Membrane Under Concentrated Load: The Relation of Load and Deflection

A Theoretical Study of Circular Orthotropic Membrane Under Concentrated Load: The Relation of Load and Deflection

Active vibration control for thin curved structures using dielectric elastomer actuators

Multi-mode Vibration Averagely Control for Cylindrical Shells by Optimally Distributed Piezoelectric Sensors and Actuators

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