By A. Preumont

This e-book comprises 14 chapters. Chapters 2 and three are dedicated to the dynamics of lively buildings; the open loop move features are derived from the constitutive equations; the dialogue contains energetic trusses with piezoelectric struts, and beams and shells with embedded laminar piezoelectric actuators and sensors. Chapters four and five speak about the virtues of collocated actuator/sensor configurations and the way they are often exploited to enhance energetic damping with assured balance. bankruptcy 6 addresses vibration isolation for one and six d.o.f.. bankruptcy 7 discusses optimum regulate for SISO platforms with symmetric root locus. bankruptcy eight discusses the layout tradeoffs for SISO structures within the frequency area, together with the Bode amplitude/phase dating. bankruptcy nine offers a extra basic dialogue of optimum regulate utilizing of optimum keep watch over utilizing the Riccati equation; spillover is tested. Chapters 10 and eleven evaluation in brief the options of controllability, observability and balance. bankruptcy 12 discusses the semi-active keep watch over, together with a few fabrics on magneto-rheological fluids. bankruptcy thirteen describes numerous useful functions to lively damping, precision positioning and vibroacoustics, and bankruptcy 14 discusses the lively damping of cable- constructions.

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Additional info for Vibration Control of Active Structures: An Introduction (Solid Mechanics and Its Applications)

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GERADIN & D. RIXEN, Mechanical Vibrations, Theory and Application to Structural Dynamics, Wiley, 1993. P. C. HUGHES, Attitude Dynamics of Three-Axis Stabilized Satellite with a Large Flexible Solar Array, J. Astronautical Sciences, vol. – Dec. 1972. P. C. H UGHES , Dynamics of Flexible Space Vehicles with Activ e Attitude Control, Celestial Mechanics Journal, vol. 9, 21–39, March 1974. T. J. R. HUGHES, The Finite Element Method, Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, 1987b.

A. NELSON‚ Active Control of Vibration‚ Academic Press‚ 1996. M. V. GANDHI & B. S. THOMPSON‚ Smart Materials and Structures‚ Chapman & Hall‚ 1992. P. A. NELSON & S. J. ELLIOTT‚ Active Control of Sound‚ Academic Press‚ 1992. K. UCHINO‚ Ferroelectric Devices‚ Marcel Dekker‚ 2000. 14 Vibration control of active structures R. N. WILSON‚ F. FRANZA & L. NOETHE‚ Active Optics. 1. A System for Optimizing the Optical Quality and Reducing the Costs of Large Telescopes‚ Journal of Modern Optics‚ vol. 34‚ no.

We shall see later that errors in the spacing between poles and zeros of the open-loop system can lead to substantial errors in the performance of the closed-loop system. 37) is lost. Interlacing poles and zeros are no longer guaranteed in this case. a). b, without changing the dominant feature of Some concepts of structural dynamics 29 interlacing. 7. Each flexible mode introduces a circle in the Nyquist diagram; it is more or less centered on the imaginary axis which is intersected at and the radius is proportional to the inverse of the modal damping, In the Bode plots, a 180° phase lag occurs at every natural frequency, and is compensated by a 180° phase lead at every imaginary zero; the phase always oscillates between 0 and , as a result of the interlacing property of the poles and zeros.

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