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System Dynamics with Interaction Discontinuity 1st ed. 2015 [Hardback]

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  • Formāts: Hardback, 257 pages, height x width: 235x155 mm, weight: 5266 g, 48 Illustrations, color; 40 Illustrations, black and white; X, 257 p. 88 illus., 48 illus. in color., 1 Hardback
  • Sērija : Nonlinear Systems and Complexity 13
  • Izdošanas datums: 21-Jul-2015
  • Izdevniecība: Springer International Publishing AG
  • ISBN-10: 3319174215
  • ISBN-13: 9783319174211
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  • Hardback
  • Cena: 91,53 €*
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System Dynamics with Interaction Discontinuity 1st ed. 2015Palielināt
  • Formāts: Hardback, 257 pages, height x width: 235x155 mm, weight: 5266 g, 48 Illustrations, color; 40 Illustrations, black and white; X, 257 p. 88 illus., 48 illus. in color., 1 Hardback
  • Sērija : Nonlinear Systems and Complexity 13
  • Izdošanas datums: 21-Jul-2015
  • Izdevniecība: Springer International Publishing AG
  • ISBN-10: 3319174215
  • ISBN-13: 9783319174211
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9783319174211.html
Keywords:
This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at the boundary in discontinuous dynamical systems. Based on such a theory, the authors address dynamics and motion mechanism of engineering discontinuous systems due to interaction. Stability and bifurcations of fixed points in nonlinear discrete dynamical systems are presented, and mapping dynamics are developed for analytical predictions of periodic motions in engineering discontinuous dynamical systems. Ultimately, the book provides an alternative way to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.
1 Introduction
1(12)
1.1 Discontinuous Dynamical Systems
1(3)
1.2 System Interaction Discontinuity
4(3)
1.3 Book Lay out
7(6)
References
8(5)
2 System Discontinuity and Switchability
13(46)
2.1 Domain Accessibility
13(2)
2.2 Discontinuous Dynamic Systems
15(1)
2.3 Flow Switchability to Boundaries
16(9)
2.4 Tangential Flows to Boundaries
25(9)
2.5 Switching Bifurcations of Passable Flows
34(12)
2.6 Switching Bifurcations of Non-passable Flows
46(13)
References
58(1)
3 A General Theory for Flow Passability
59(54)
3.1 Real and Imaginary Flows
59(5)
3.2 G-Functions
64(4)
3.3 Passable Flows
68(5)
3.4 Non-passable Flows
73(13)
3.5 Grazing Flows
86(13)
3.6 Flow Switching Bifurcations
99(14)
References
111(2)
4 Dynamical System Interaction
113(26)
4.1 System Interaction
113(9)
4.1.1 Discontinuous Description
117(1)
4.1.2 Resultant Dynamical Systems
118(4)
4.2 Fundamental Interactions
122(8)
4.3 Interactions with Higher-Order Singularity
130(4)
4.4 Interactions with Edge Singularity
134(5)
References
138(1)
5 A Gear Transmission System
139(44)
5.1 A Physical Model
139(10)
5.2 Motion Mechanism
149(6)
5.3 Mapping Structures
155(10)
5.4 Periodic Motions
165(9)
5.5 Numerical Simulations
174(9)
References
181(2)
6 A Freight Train Suspension System
183(64)
6.1 A Mechanical Model
183(11)
6.1.1 Physical Problem
184(1)
6.1.2 Equations of Motion
185(3)
6.1.3 Absolute Motions
188(5)
6.1.4 Relative Motion
193(1)
6.2 Discontinuity Mechanisms
194(13)
6.2.1 Stuck and Sliding Motions
195(6)
6.2.2 Free-Flight and Stick Motions
201(6)
6.3 Mapping Structures of Periodic Motions
207(7)
6.3.1 Switching Sets and Basic Mappings
208(2)
6.3.2 Algebraic Equations of Mappings
210(3)
6.3.3 Mapping Structures
213(1)
6.3.4 Bifurcation Scenario
214(1)
6.4 Periodic Motion
214(20)
6.4.1 Analytical Predictions
217(1)
6.4.2 Stability and Bifurcation
218(1)
6.4.3 Impacting Chatter
219(1)
6.4.4 Impacting Chatter with Stick and Stuck
220(6)
6.4.5 Numerical Results
226(8)
6.5 Wedge Angle Effects
234(13)
6.5.1 Field Data Results
234(1)
6.5.2 Analytical Prediction
234(3)
6.5.3 Numerical Simulation
237(2)
6.5.4 Friction Dissipation Work
239(6)
References
245(2)
Appendix A General Solutions and Stability 247(8)
Index 255