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Active vibration control of spatial flexible multibody systems

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Abstract

In this work a flexible multibody dynamics formulation of complex models including elastic components made of composite materials is extended to include piezoelectric sensors and actuators. The only limitation for the deformation of a structural member is that they must remain elastic and linear when described in a coordinate frame fixed to a material point or region of its domain. The flexible finite-element model of each flexible body is obtained referring the flexible body nodal coordinates to the body fixed frame and using a diagonalized mass description of the inertia in the mass matrix and on the gyroscopic force vector. The modal superposition technique is used to reduce the number of generalized coordinates to a reasonable dimension for complex shaped structural models of flexible bodies. The active vibration control of the flexible multibody components is implemented using an asymmetric collocated piezoelectric sensor/actuator pair. An electromechanically coupled model is taken into account to properly consider the surface-bonded piezoelectric transducers and their effects on the time and spatial response of the flexible multibody components. The electromechanical effects are introduced in the flexible multibody equations of motion by the use of beam and plate/shell elements, developed to this purpose. A comparative study between the classical control strategies, constant gain and amplitude velocity feedback, and optimal control strategy, linear quadratic regulator (LQR), is performed in order to investigate their effectiveness to suppress vibrations in structures with piezoelectric sensing and actuating patches.

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Authors and Affiliations

  1. Departamento de Engenharia Mecânica, Faculdade de Ciência e Tecnologia, Universidade de Coimbra (Polo II), 3020, Coimbra, Portugal

    Maria Augusta Neto & A. Amaro

  2. Instituto de Engenharia Mecânica, Instituto Superior Técnico, Av. Rovisco Pais, 1041-001, Lisboa, Portugal

    Jorge A. C. Ambrósio

  3. Departamento de Engenharia Mecânica, Instituto Superior de Engenharia de Coimbra, 3020 Rua Pedro Nunes- Quinta da Nora, 3030-199, Coimbra, Portugal

    Luis M. Roseiro

  4. INEGI–Instituto de Engenharia Mecânica e Gestão Industrial, Universidade do Porto, Campus da FEUP, Rua Dr. Roberto Frias 400, 4200-465, Porto, Portugal

    C. M. A. Vasques

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  1. Maria Augusta Neto
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  2. Jorge A. C. Ambrósio
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  3. Luis M. Roseiro
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  4. A. Amaro
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  5. C. M. A. Vasques
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Correspondence to Maria Augusta Neto.

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Neto, M.A., Ambrósio, J.A.C., Roseiro, L.M. et al. Active vibration control of spatial flexible multibody systems. Multibody Syst Dyn 30, 13–35 (2013). https://doi.org/10.1007/s11044-013-9341-3

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  • DOI: https://doi.org/10.1007/s11044-013-9341-3

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