Optimizing induced strain actuators for maximum panel deflection

Leeks, Tamara J.; Wesshaar, Terrence

doi:10.2514/6.1994-1774

Cited by 8 publications

(2 citation statements)

References 4 publications

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“…For this type of analysis and using finite elements the equation which must be solved is Ku-uMu=O (9) where K is the global stiffness matrix, 1u is the eigenvalue, M is the global mass matrix and u is the nodal displacement vector, or mode shape. The displacement vector is also called the eigenvector.…”

Section: General Optimization Problemmentioning

confidence: 99%

<title>Optimal placement of a piezoelectric patch on plate structures for vibration suppression</title>

Ogden

Grandhi

1998

SPIE Proceedings

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The objective of this work is to develop a method for placement of a single shunted piezoelectric patch to dampen several modes of plate vibration. This goal is accomplished by maximizing the generalized electromechanical coupling coefficient while limiting eigenvalues for the modes under consideration. The variation introduced is the location of the center of a square piezoelectric patch. The difficulty in finding the optimai location of the patch is rooted in both the vastly different mode shapes of the plate in this study and the fact the piezoelectric stiffness is frequency dependent and the frequency is dependent on the location of the piezoelectric. A method based on determining the maximum objective function due to a user-specified relationship between the modes of vibration of a given plate is presented. A small plate and an electrical chassis box bottom plate are used as optimization examples. The method developed is highly adaptable to changes in structural design, material changes and changes in the relative importance of the modes of vibration.

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Section: General Optimization Problemmentioning

confidence: 99%

<title>Optimal placement of a piezoelectric patch on plate structures for vibration suppression</title>

Ogden

Grandhi

1998

SPIE Proceedings

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“…Scott and Weisshaar [8] also examined the capability for panel flutter suppression of piezoelectric actuators and shape memory alloy actuators. Leeks and Weisshaar [9] examined the interaction between the piezoparameters and the stiffness of the host structure to produce large bending deflection. Hajela and Glowasky [10] conducted a parameter study to suppress an supersonic panel flutter with piezoelectric actuators.…”

Section: Introductionmentioning

confidence: 99%

Optimal sizing and placement of piezo-actuators for active flutter suppression

Nam

Kim

Weisshaar³

1996

Smart Mater. Struct.

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The purpose of this work is to design an active control system for flutter suppression of a laminated plate wing model using segmented piezo-actuators. We describe investigations pertaining to the optimal size, thickness and locations of piezo-actuators on a laminated plate-wing structure for flutter suppression. The analysis for the laminated composite wing model is conducted by the Ritz solution technique, which represents the displacement on the plate in terms of power series in spanwise and chordwise directions. The active control system design for flutter suppression requires the equation of motion to be expressed in a linear time-invariant state-space form. The doublet-lattice method is used to compute unsteady aerodynamic forces, which are approximated as the transfer functions of the Laplace variable by the minimum-state method combined with an optimization technique. To design the control system, linear quadratic regulator theory with output feedback is considered in this study. The feedback control gains are obtained by solving coupled nonlinear matrix equations via numerical optimization routines. The optimal geometry of piezo-actuators which minimizes the control performance index is determined by the optimization technique referred to as the sequential linear programming method. The numerical result shows a substantial saving in control effort compared with the initial model.

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Optimal Design of Composite Structures with Integrated Piezoelectric Laminae

Correia

Soares²

1999

Mechanics of Composite Materials and Structures

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Optimizing induced strain actuators for maximum panel deflection

Cited by 8 publications

References 4 publications

<title>Optimal placement of a piezoelectric patch on plate structures for vibration suppression</title>

<title>Optimal placement of a piezoelectric patch on plate structures for vibration suppression</title>

Optimal sizing and placement of piezo-actuators for active flutter suppression

Optimal Design of Composite Structures with Integrated Piezoelectric Laminae

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