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049 _aMAIN
100 1 _aLuo, Albert C. J.
245 1 0 _aVibro-impact dynamics /
_cAlbert C.J. Luo and Yu Guo.
264 1 _aChichester, West Sussex, United Kingdom :
_bJohn Wiley & Sons Inc.,
_c2013.
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
504 _aIncludes bibliographical references and index.
588 0 _aPrint version record and CIP data provided by publisher.
505 0 _aVIBRO-IMPACT DYNAMICS; Contents; Preface; 1 Introduction; 1.1 Discrete and Discontinuous Systems; 1.1.1 Discrete Dynamical Systems; 1.1.2 Discontinuous Dynamical Systems; 1.2 Fermi Oscillators and Impact Problems; 1.3 Book Layout; 2 Nonlinear Discrete Systems; 2.1 Definitions; 2.2 Fixed Points and Stability; 2.3 Stability Switching Theory; 2.4 Bifurcation Theory; 3 Complete Dynamics and Fractality; 3.1 Complete Dynamics of Discrete Systems; 3.2 Routes to Chaos; 3.2.1 One-Dimensional Maps; 3.2.2 Two-Dimensional Systems; 3.3 Complete Dynamics of the Henon Map; 3.4 Similarity and Multifractals.
505 8 _a3.4.1 Similar Structures in Period Doubling3.4.2 Fractality of Chaos via PD Bifurcation; 3.4.3 An Example; 3.5 Complete Dynamics of Logistic Map; 4 Discontinuous Dynamical Systems; 4.1 Basic Concepts; 4.2 G-Functions; 4.3 Passable Flows; 4.4 Non-Passable Flows; 4.5 Grazing Flows; 4.6 Flow Switching Bifurcations; 5 Nonlinear Dynamics of Bouncing Balls; 5.1 Analytic Dynamics of Bouncing Balls; 5.1.1 Periodic Motions; 5.1.2 Stability and Bifurcation; 5.1.3 Numerical Illustrations; 5.2 Period-m Motions; 5.3 Complex Dynamics; 5.4 Complex Periodic Motions; 6 Complex Dynamics of Impact Pairs.
505 8 _a6.1 Impact Pairs6.2 Analytical, Simplest Periodic Motions; 6.2.1 Asymmetric Period-1 Motion; 6.2.2 Stability and Bifurcation; 6.2.3 Numerical Illustrations; 6.3 Possible Impact Motion Sequences; 6.4 Grazing Dynamics and Stick Motions; 6.5 Mapping Structures and Periodic Motions; 6.6 Stability and Bifurcation; 7 Nonlinear Dynamics of Fermi Oscillators; 7.1 Mapping Dynamics; 7.2 A Fermi Oscillator; 7.2.1 Absolute Description; 7.2.2 Relative Description; 7.3 Analytical Conditions; 7.4 Mapping Structures and Motions; 7.4.1 Switching Sets and Generic Mappings; 7.4.2 Motions with Mapping Structures.
505 8 _a7.4.3 Periodic Motions and Local Stability7.5 Predictions and Simulations; 7.5.1 Bifurcation Scenario; 7.5.2 Analytical Prediction; 7.5.3 Numerical Simulations; Appendix 7.A; References; Index.
520 _aPresents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis Comprehensive understanding of any vibro-impact system is critically impeded by the lack of analytical tools viable for properly characterizing grazing bifurcation. The authors establish vibro-impact dynamics as a subset of the theory of discontinuous systems, thus enabling all vibro-impact systems to be explored and characterized for applications. Vibro-impact Dynamics presents an original theoretical way of analyzing the behavior of vibro-impact dynamics that can be exte.
650 0 _aVibration.
650 0 _aImpact.
650 0 _aShock (Mechanics)
650 4 _aImpact.
650 4 _aShock (Mechanics)
650 4 _aVibration.
650 7 _aSCIENCE
_xNanoscience.
_2bisacsh
650 7 _aImpact.
_2fast
_0(OCoLC)fst00968053
650 7 _aShock (Mechanics)
_2fast
_0(OCoLC)fst01116709
650 7 _aVibration.
_2fast
_0(OCoLC)fst01166160
655 4 _aElectronic books.
655 7 _aElectronic books.
_2local
700 1 _aGuo, Yu,
_d1984-
776 0 8 _iPrint version:
_aLuo, Albert C.J.
_tVibro-impact dynamics.
_dChichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2013
_z9781118359457
_w(DLC) 2012032692
856 4 0 _uhttp://onlinelibrary.wiley.com/book/10.1002/9781118402924
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