05388cam a2200805 i 4500 ocn819105408 OCoLC 20171113083642.0 m o d cr ||||||||||| 121121s2013 enk ob 001 0 eng 2012047307 9781118402900 (ePub) 1118402901 (ePub) 9781118402887 (MobiPocket) 111840288X (MobiPocket) 9781118402917 (Adobe PDF) 111840291X (Adobe PDF) 9781118402924 (electronic bk.) 1118402928 (electronic bk.) 9781299188198 (MyiLibrary) 1299188192 (MyiLibrary) 9781118359457 (cloth) 1118359453 (cloth) EB00066781 Recorded Books DEBBG BV041907929 DEBSZ 423050729 DEBSZ 431329001 NZ1 15341552 DKDLA 820120-katalog:000732715 DEBBG BV043395206 (OCoLC)819105408 (OCoLC)827208388 (OCoLC)828494615 (OCoLC)833566838 (OCoLC)837185451 (OCoLC)865012351 (OCoLC)960203246 450069 MIL DLC eng rda pn DLC N$T DG1 YDXCP E7B CDX COO IDEBK OCLCF UKDOC DEBSZ EBLCP RECBK DEBBG OCLCQ LOA pcc MAIN TA355 SCI 050000 bisacsh 620.1/125 23 Luo, Albert C. J. Vibro-impact dynamics / Albert C.J. Luo and Yu Guo. [electronic resource] Chichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2013. 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. VIBRO-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. 3.4.1 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. 6.1 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. 7.4.3 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. Presents 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. Print version record and CIP data provided by publisher. Vibration. Impact. Shock (Mechanics) Impact. Shock (Mechanics) Vibration. SCIENCE Nanoscience. bisacsh Impact. fast (OCoLC)fst00968053 Shock (Mechanics) fast (OCoLC)fst01116709 Vibration. fast (OCoLC)fst01166160 Electronic books. Electronic books. local Guo, Yu, 1984- Print version: Luo, Albert C.J. Vibro-impact dynamics. Chichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2013 9781118359457 (DLC) 2012032692 http://onlinelibrary.wiley.com/book/10.1002/9781118402924 Wiley Online Library ddc BK 206271 206271