By David Wagg
This e-book covers the elemental ideas of nonlinear vibrations which happen in versatile and/or adaptive buildings, with an emphasis on engineering research and proper regulate techniques.
Understanding nonlinear vibrations is turning into more and more very important in quite a number engineering functions. this can be really actual within the layout of versatile constructions corresponding to plane, satellites, bridges, and activities stadia. there's an expanding development in the direction of lighter buildings, with elevated slenderness, usually made up of new composite fabrics and requiring a few type of deployment and/or energetic vibration regulate. There also are functions within the parts of robotics, mechatronics, micro electric mechanical structures, non-destructive checking out and similar disciplines corresponding to structural health and wellbeing monitoring.
Two broader subject matters reduce throughout those software components: (i) vibration
suppression -- or energetic damping -- and, (ii) adaptive buildings and
machines. the purpose of this e-book is to supply a complete discussion
of nonlinear multi-modal structural vibration difficulties, after which to show
how vibration suppression should be utilized to such platforms by means of contemplating a
sample set of appropriate keep watch over innovations. the reason is to supply a
volume that's obtainable to practitioners within the software parts, as
well as scholars and researchers engaged on similar issues. particularly, the purpose is to introduce the most important suggestions of nonlinear vibration to readers
who understand linear vibration and/or linear regulate, but
no professional wisdom in nonlinear dynamics or nonlinear control.
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Additional resources for Nonlinear Vibration with Control: For Flexible and Adaptive Structures
Vibration control of active structures. Kluwer: Dordrecht. Rayleigh, J. W. S. (1894a). Theory of sound: Volume 1. Macmillan and Co: London. Rayleigh, J. W. S. (1894b). Theory of sound: Volume 2. Macmillan and Co: London. -J. E. and Li, W. (1991). Applied nonlinear control. Prentice Hall. Srinivasan, A. V. and McFarland, D. M. (2001). Smart structures. Cambridge. Thompson, J. M. T. and Champneys, A. R. (1996). From helix to localized writhing in the torsional post-buckling of elastic rods. Proceedings of the Royal Society A, 452, 117–138.
McGraw-Hill. Second edition. Den Hartog, J. P. (1934). Mechanical Vibrations. McGraw-Hill: New York. , Budd, C. , Champneys, A. , and Kowalczyk, P. (2007). Piecewise-smooth dynamical systems: theory and applications. Springer-Verlag. Ewins, D. J. (2000). Modal Testing. Research Studies Press. Frish-Fay, R. (1962). Flexible Bars. Butterworths: London. Fuller, C. , Elliot, S. , and Nelson, P. A. (1996). Active control of vibration. Academic Press. G´eradin, M. and Rixen, D. (1997). Mechanical Vibrations: Theory and Application to Structural Dynamics.
17 Schematic diagram of a smart structure control system. (via the sensors) and when required give command signals to a series of actuators which act on the structure. An understanding of nonlinear structural mechanics and vibration is important for many smart structures, because they typically have one or more of the following characteristics: (i) the ability to have large deformations, (ii) non-homogeneous material properties, (iii) material parameters which vary (or can be varied), (iv) multiple stable states, (v) highly flexible elements, (vi) very light damping and (vii) the need to be operated in a dynamic environment.