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6 June 1997 Modeling techniques in the design of smart structures for active vibration control
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Designing and optimizing composite structures with embedded or surface-bonded actuators for active vibration control requires a multidisciplinary approach. Computer models of different levels of refinement are valuable tools and are extensively used at all stages in the design of smart structures subject to certain application-dependent requirements and constraints. Classical laminate theory (CLT) is mainly employed in the early stages of the design for the optimization of the vertical layout of the smart composite material. Typical issues addressed in this regard are the configuration of bonding layers, the placement of the actuating layers with respect to the neutral axis and the efficiency of anisotropic actuation. Detailed models of embedded actuators with particular emphasis on edge effects are analyzed with a commercially available finite element code that provides coupled field elements taking account of the electromechanical coupling. In order to allow for the efficient design of large- scale structures, the determination of the actuator distribution and of the static and dynamic response of the system is performed by modeling the induced strains via thermal expansion using the same finite element program. The state space model for control system development is obtained through condensation of the respective matrices of the finite element model. Selected results of laboratory scale experiments on beams and plates to validate the modeling techniques and the design methodology are presented.
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Helmut W. Zaglauer, Baernd Last, and Ursula Herold-Schmidt "Modeling techniques in the design of smart structures for active vibration control", Proc. SPIE 3041, Smart Structures and Materials 1997: Smart Structures and Integrated Systems, (6 June 1997);

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