Analysis of active damping in composite laminate cylindrical shells of revolution with skewed PVDF sensors/actuators
TL;DR: In this article, the effects of location of patch of collocated piezoelectric sensors/actuators, percentage length of the shell covered with these patches, fiber angle of the laminae in the composite laminate, stacking sequence of laminaes in a laminate and skew angle of a sensor/actus material, on the system damping for various modes is studied.
About: This article is published in Composite Structures.The article was published on 2000-04-01. It has received 25 citations till now. The article focuses on the topics: Piezoelectric sensor & Shell (structure).
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TL;DR: A review of the state-of-the-art in the area of dynamic analysis of composite shells can be found in this article, where the main aim is to provide a broad perspective of the current state of the art in this field.
364 citations
Cites background from "Analysis of active damping in compo..."
...[43], Saravanan [47], Shin et al....
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...[47] studied active damping in a laminated shell and Saravanos and Christoforou [48] investigated impacts of composite shells....
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TL;DR: In this paper, a semi-analytical axisymmetric shell finite element model with embedded and/or surface bonded piezoelectric ring actuators and sensors for active damping vibration control of the structure is presented.
79 citations
TL;DR: In this paper, a 2D finite element model based on higher order zigzag theory (HOZT) was proposed to solve the vibration problem of shells incorporating all three radii of curvatures including the effect of cross curvature.
65 citations
TL;DR: In this paper, an instantaneous optimal close loop control algorithm coupling the direct and inverse piezoelectric effect is presented and used as an adaptive shape control of the dynamic response of the integrated laminated structure.
59 citations
TL;DR: In this article, the active vibration control of a cylindrical shell partially covered by a laminated PVDF actuator (LPA) is studied. And the authors derived the electromechanically coupled equations of the system considering the influences of the bonding layers.
Abstract: Active vibration control of a cylindrical shell partially covered by a laminated PVDF actuator (LPA) is studied. The electromechanically coupled equations of the system are derived considering the influences of the bonding layers. The analytical expressions of the control forces induced by the LPA are obtained and thereafter a parametric study is conducted to evaluate the effects of the physical properties of the actuator on the control forces. The active vibration control of a clamped–free cylindrical shell using an LPA with different layer numbers is simulated and carried out experimentally. It shows that the control forces of the actuator can be significantly enhanced by increasing the PVDF layer number while keeping the driving voltage unchanged. As a result, the modal vibrations of the shell are suppressed quite well (the vibration amplitude is cut by 64.08%) under a relatively low control voltage (40 V) with a five-layer LPA whose area is only 0.21% of that of the shell. Additionally, as the LPA partially covers the shell surface along the circumferential direction, it can exert a radial actuating force on the structure except for the actuating moment, and the former is much larger than the latter and is thus preferable for controlling the structural radial vibration. To make full use of this actuating force, the actuator should not be placed at a point of large surface strain as is usual but at one of large radial deformation.
44 citations
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Book•
01 Jan 1974
TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
Abstract: Notation. Introduction. One-Dimensional Elements, Computational Procedures. Basic Elements. Formulation Techniques: Variational Methods. Formulation Techniques: Galerkin and Other Weighted Residual Methods. Isoparametric Elements. Isoparametric Triangles and Tetrahedra. Coordinate Transformation and Selected Analysis Options. Error, Error Estimation, and Convergence. Modeling Considerations and Software Use. Finite Elements in Structural Dynamics and Vibrations. Heat Transfer and Selected Fluid Problems. Constaints: Penalty Forms, Locking, and Constraint Counting. Solid of Revolution. Plate Bending. Shells. Nonlinearity: An Introduction. Stress Stiffness and Buckling. Appendix A: Matrices: Selected Definition and Manipulations. Appendix B: Simultaneous Algebraic Equations. Appendix C: Eigenvalues and Eigenvectors. References. Index.
6,126 citations
TL;DR: These modal equations indicate that distributed piezoelectric sensors/actuators can be adopted to measure/excite specific modes of one-dimensional plates and beams and a way to create a special two-dimensional modal sensor is presented.
Abstract: A piezoelectric laminate theory that uses the piezoelectric phenomenon to effect distributed control and sensing of structural vibration of a flexible plate has been used to develop a class of distributed sensor/actuators, that of modal sensors/actuators. The one-dimensional modal sensors/actuator equations are first derived theoretically and then examined experimentally. These modal equations indicate that distributed piezoelectric sensors/actuators can be adopted to measure/excite specific modes of one-dimensional plates and beams. If constructed correctly, actuator/observer spillover will not be present in systems adopting these types of sensors/actuators. A mode 1 and a mode 2 sensor for a one-dimensional cantilever plate were constructed and tested to examine the applicability of the modal sensors/actuators. A modal coordinate analyzer which allows us to measure any specific modal coordinate on-line real-time is proposed. Finally, a way to create a special two-dimensional modal sensor is presented.
547 citations
TL;DR: In this article, a set of piezopolymer devices based on a composite laminate theory for piezoelectric polymer materials was developed, which exhibited both bending and torsion deformation under an applied electric field.
Abstract: A set of piezopolymer devices has been developed based on a composite laminate theory for piezoelectric polymer materials. By using different combinations of ply angles and electrode patterns, a piezopolymer/metal shim plate structure was built that exhibited both bending and torsion deformation under an applied electric field. A set of torsion‐beam sensor structures was also built that could distinguish between bending and torsion or between different vibration modes. These devices were based on a general theory of piezoelectric laminates. The experimental results agreed quite closely with the theoretical predictions. These integrated sensor–actuator devices may find application in the control of microactuators or may be used for modal control of larger continuous structures.
206 citations
TL;DR: In this article, a new laminated quadratic C° piezoelastic triangular shell finite element was developed using the layerwise constant shear angle theory, which was used to model a piezoelectric bimorph pointer and a semicircular ring shell.
Abstract: In the recent development of active structural systems and microelectromechanical systems, piezoelectrics are widely used as sensors and actuators. Because of the limitations of theoretical and experimental models in design applications, finite element development and analysis are proposed and presented in this paper. A new laminated quadratic C° piezoelastic triangular shell finite element is developed using the layerwise constant shear angle theory. Element and system equations are also derived. The developed piezoelastic triangular shell element is used to model 1) a piezoelectric bimorph pointer and 2) a semicircular ring shell. Finite element (triangular shell finite element) solutions are compared closely with the theoretical, experimental, and finite element (thin solid finite element) results in the bimorph pointer case. Natural frequencies and distributed control effects of the ring shell with piezoelectric actuators of various length are also studied. Finite element analyses suggested that the inherent piezoelectric effect has little effect on natural frequencies of the ring shell. Vibration control effect increases as the actuator length increases, and it starts leveling off at the seven-patch (70%) actuator. Coupling and control spillover of lower natural modes are also observed.
188 citations
TL;DR: In this paper, a new mixed-laminatetheory for piezoelectric laminates is presented, where a coupled governing equation for curvilinear laminations is derived for the displacements and a layerwise representation for the electric potential.
Abstract: Mechanicsfortheanalysisoflaminatedcompositeshellswithpiezoelectricactuatorsandsensorsarepresented.A newmixedlaminatetheoryforpiezoelectricshellsisdevelopedincurvilinearcoordinatesthatcombinessingle-layer assumptions for the displacements and a layerwise representation for the electric potential. The resultant coupled governing equations for curvilinear piezoelectric laminates are described. Structural mechanics are subsequently developed and an eight-node ® nite element is formulated for the static and dynamic analysis of adaptivecomposite shell structures of general laminationscontaining piezoelectriclayers. Evaluations of themethod and comparisons with reported results were performed. Numerical results for cylindrical laminated piezoelectric composite panels with continuous piezoceramic actuators and cantilever shells with continuous or discrete piezoelectric actuators and sensors illustrate the advantages of the method and quantify the effects of curvature on the electromechanical response of piezoelectric shells.
169 citations