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检索条件"任意字段=Conference on Mathematics and Control in Smart Structures"

共 142 条记录，以下是121-130 订阅

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Generalized dissipation in hysteretic systems

Generalized dissipation in hysteretic systems

引用

IEEE conference on Decision and control

作者： R.B. Gorbet K.A. Morris Department of Electrical Engineering University of Toronto Toronto ONT Canada Department of Applied Mathematics University of Waterloo Waterloo ONT Canada

We give a formal definition of dissipative systems that is considerably more general than earlier definitions. The measured output is irrelevant in this formulation. The key component of dissipation is an appropriate work rate. We also define cycle-dissipation and show how it can be used to obtain a suitable work rate. Using this idea, we propose a new work rate for the Preisach hysteresis model, and demonstrate dissipativity with respect to this rate. The Preisach model describes the dynamics of many "smart materials" such as shape memory alloys. This new type of dissipativity will be beneficial in the design of position controllers for SMA.

关键词： control systems Shape memory alloys Flexible structures Shape control Force control Robust control Magnetic hysteresis Magnetic materials Piezoelectric materials Nonlinear control systems

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Electro-mechanical characterization of high-performance piezoactuators

Electro-mechanical characterization of high-performance piez...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Janker, P Daimler-Benz AG (Germany)

ISBN: (纸本)0819424528

Piezoelectric actuators are particularly suitable for integration into ''smart structures.'' A basic understanding of the electro-mechanical properties of piezoactuators is required to develop high-performance ''smart-structure'' applications. The high mechanical and electric load on the actuators is typical of these applications, but very little data material is as yet available here. This contribution presents suitable measurement methodologies and systems for the application-oriented characterization of piezoelectric high-load actuators, and the results are discussed.

关键词： Actuators Ferroelectric materials Ceramics Dielectrics smart materials Temperature metrology Aerodynamics Capacitance Data analysis smart structures

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Modeling an adaptive impedance boundary condition device for helicopter individual blade control

Modeling an adaptive impedance boundary condition device for...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Nitzsche, F National Research Council of Canada (Canada)

ISBN: (纸本)0819424528

In the present investigation, the helicopter blade is modeled as a rotating beam with two degrees of freedom, namely the elastic flatwise bending and torsion. A mathematical model in the frequency domain is developed, incorporating the unsteady aerodynamic loads associated with helicopters in forward flight. The effects of dynamic adaptation of the root boundary conditions on the beam aeroelastic response are studied. The results suggest that it is possible to control the local dynamic response at particular sections of the beam by varying the frequency and relative phase of the control signal.

关键词： helicopter rotor vibration ''smart'' structures individual blade control adaptive boundary conditions

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Optimization issues in application of piezoelectric actuators in panel flutter control

Optimization issues in application of piezoelectric actuator...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Suleman, A Goncalves, MA Instituto Superior Tecnico (Portugal)

ISBN: (纸本)0819424528

The feasibility of employing a passive control methodology using piezoelectric actuators to control panel flutter is investigated. An electromechanical panel model(1) containing distributed piezoelectric layers either bonded to the surface or embedded within the structure is used to control flutter. The performance of piezoelectric actuators is dependent on the mass to stiffness ratio, the configuration and placement of the actuators The physical programming(2) design optimization methodology to calculate the optimal actuator configuration is used. This approach reduces the computational intensity in large design optimization problems and completely eliminates the need for iterative weight setting.

关键词： piezoelectric actuators composite plate panel flutter optimization physical programming

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Theoretical limits of damping attainable by smart beams with rate feedback

Theoretical limits of damping attainable by smart beams with...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Balakrishnan, AV Univ. of California/Los Angeles (United States)

ISBN: (纸本)0819424528

Using a generally accepted model we present a comprehensive analysis (within the page limitation) of an Euler-Bernoulli beam with PZT sensor-actuator and pure rate feedback. The emphasis is on the root locus - the dependence of the attainable damping on the feedback gain. There is a critical value of the gain beyond which the damping decreases to zero. We construct the time-domain response using semigroup theory, and show that the eigenfunctions form a Riesz basis, leading to a ''modal'' expansion.

关键词： Sensors Berkelium Ferroelectric materials Analytical research Actuators Aluminum Gold Mendelevium Systems modeling

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control problems in noise reduction: The case of two coupled hyperbolic equations

Control problems in noise reduction: The case of two coupled...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Triggiani, R Univ. of Virginia (United States)

ISBN: (纸本)0819424528

We consider a mathematical model of the noise reduction problem, which couples two hyperbolic equations: the wave equation in the interior (''chamber'')-which describes the unwanted acoustic waves-and a (hyperbolic) Kirchoff equation-which models the vibrations of the elastic wall. In past models, the elastic wall was modeled by an Euler-Bernoulli equation with Kelvin-Voight damping (parabolic model). Our main result is a sharp regularity result, in two dual versions, of the resulting system of two coupled hyperbolic P.D.E.'s. With this regularity result established, one can then invoke a wealth of abstract results from [L-T.6], [L-T.7], [M-T.1], [T.2], etc. on optimal control problems, min-max game theory (and Hco-problems), etc. The proof of the main result is based on combining technical results from [T.1], [L-T.1]-[L-T.4], [A.2], etc.

关键词： Mathematical modeling Denoising Acoustics Fourier transforms control systems Space operations Xenon Applied mathematics Partial differential equations smart materials

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Effect of SMA dampers on nonlinear vibrations of elastic structures

Effect of SMA dampers on nonlinear vibrations of elastic str...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Birman, V Univ. of Missouri/Rolla (United States)

ISBN: (纸本)0819424528

Shape memory alloy (SMA) components can affect vibrations of structures through two mechanisms. The stresses in a SMA element that experiences phase transformations, as a result of vibrations, have an effect on the frequency-amplitude characteristics. Tn addition, a dissipation of energy due to hysteresis in a SMA element can reduce the natural frequency and affect forced vibrations. The present paper illustrates the mathematical foundations of these concepts. The method of solution of the equation of motion of flexible superelastic SMA dampers is discussed. Potential benefits to vibrating structures associated with a hysteresis in superelastic SMA dampers are illustrated. As follows from the results shown in the paper, the effectiveness of superelastic dampers increases with temperature, as long as the latter remains within the range where the martensite formation is possible.

关键词： shape memory alloys vibrations hysteresis damping

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control and stabilization in nonlinear structural acoustic problems

Control and stabilization in nonlinear structural acoustic p...

引用

conference on mathematics and control in smart structures - smart structures and Materials 1997

作者： Lasiecka, I Marchand, R Univ. of Virginia (United States) U.S. Military Academy (United States)

ISBN: (纸本)0819424528

We consider a model arising in structural acoustic problems which is comprised of an acoustic chamber with flexible (elastic) walls to which piezo-ceramic devices are attached. The devices play the role of actuators and sensors for the model. The mathematical description of the model is governed by a coupled system of partial differential equations (PDE's) involving the wave equation coupled with a nonlinear dynamic shell equation (modeling the wall). The main aim is to reduce a pressure/noise in the cabin by the appropriate activation of piezo-ceramic devices. The assumed periodic nature of the disturbance (noise), leads naturally to the formulation of a periodic control problem. This, in turn, is strongly linked to the problem of stabilizability of the original model. Thus, the goal of this paper is to present new results on (i) uniform stabilizability of the structural acoustic model with passive damping applied to the boundary of the acoustic chamber, and (ii) an optimal control problem with ''smart'' controls activated by piezo-ceramic patches creating suitable bending moments in the structure. The control algorithm is constructed in a feedback form via a solution of a suitable Riccati type equation. One of our results shows the boundedness of the feedback gains in spite of the strong unboundedness of the control operators. This is due to the ''regularizing'' effects of shell dynamics which are partially propagated into the ''hyperbolic'' component of the structure.

关键词： dynamic shallow shells uniform stabilization structural acoustics piezo-ceramic devices riccati equation optimal control boundary control bounded gains

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Convergence of numerical algorithms in feedback control optimization problems arising in smart material structural acoustic interactions

Convergence of numerical algorithms in feedback control opti...

引用

conference on mathematics and control in smart structures

作者： Hendrickson, E Lasiecka, I ARKANSAS STATE UNIV DEPT MATH & COMP SCISTATE UNIVAR 72467

ISBN: (纸本)0819420905

This paper considers an optimal control problem constrained by coupled hyperbolic and parabolic-like dynamics arising in an acoustic structure interaction. A numerical algorithm, based on the FEM, is formulated for computations of solutions to associated Matrix Algebraic Riccati Equations. Results of a numerical simulation of the algorithm are presented.

关键词： Acoustics Algorithm development Chemical elements Feedback control Algorithms smart materials Bohrium Finite element methods Manganese Optimization (mathematics)

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controllability and observability of vibration control systems with viscoelastic damping layers

Controllability and observability of vibration control syste...

引用

conference on mathematics and control in smart structures

作者： Wu, JF Yang, BG UNIV SO CALIF DEPT ENGN MECHLOS ANGELESCA 90089

ISBN: (纸本)0819420905

In this paper a set of controllability and observability conditions are proposed for vibration control systems with viscoelastic damping. Both conditions are stated in terms of the eigenstructures (eigenvalues and eigenvectors) of the control systems under consideration. They are similar to the well known eigenvector tests, except that to determine controllability, the knowledge of the stress-strain relations of the viscoelastic damping material is needed in addition to the modal information.

关键词： controllability observability viscoelastic damping

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