| 000 | 03737nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-17883-2 | ||
| 003 | DE-He213 | ||
| 005 | 20240730163514.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 230206s2023 sz | s |||| 0|eng d | ||
| 020 |
_a9783031178832 _9978-3-031-17883-2 |
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| 024 | 7 |
_a10.1007/978-3-031-17883-2 _2doi |
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_aTGB _2bicssc |
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_aTGB _2thema |
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_a621 _223 |
| 100 | 1 |
_aGuo, Yu. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _978926 |
|
| 245 | 1 | 0 |
_aPeriodic Motions to Chaos in a Spring-Pendulum System _h[electronic resource] / _cby Yu Guo, Albert C. J. Luo. |
| 250 | _a1st ed. 2023. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2023. |
|
| 300 |
_aXI, 104 p. 63 illus., 58 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Mechanical Engineering, _x2573-3176 |
|
| 505 | 0 | _aPreface -- Introduction -- Chapter 1 - A Semi-Analytical Method -- Chapter 2 - Discretization of a Spring-Pendulum -- Chapter 3 - Formulation for Periodic motions -- Chapter 4 - Period 1 motions to chaos varying with harmonic frequency -- Chapter 5 - Period 1 motions to chaos varying with harmonic amplitude -- Chapter 6 - Higher-order periodic motions to chaos -- References. | |
| 520 | _aThis book builds on the fundamental understandings, learned in undergraduate engineering and physics in principles of dynamics and control of mechanical systems. The design of real-world mechanical systems and devices becomes far more complex than the spring-pendulum system to which most engineers have been exposed. The authors provide one of the simplest models of nonlinear dynamical systems for learning complex nonlinear dynamical systems. The book addresses the complex challenges of the necessary modeling for the design of machines. The book addresses the methods to create a mechanical system with stable and unstable motions in environments influenced by an array of motion complexity including varied excitation frequencies ranging from periodic motions to chaos. Periodic motions to chaos, in a periodically forced nonlinear spring pendulum system, are presented through the discrete mapping method, and the corresponding stability and bifurcations of periodic motions on the bifurcation trees are presented. Developed semi-analytical solutions of periodical motions to chaos help the reader to understand complex nonlinear dynamical behaviors in nonlinear dynamical systems. Especially, one can use unstable motions rather than stable motions only. | ||
| 650 | 0 |
_aMechanical engineering. _95856 |
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| 650 | 0 |
_aEngineering mathematics. _93254 |
|
| 650 | 0 |
_aEngineering _xData processing. _99340 |
|
| 650 | 0 |
_aPlasma waves. _920827 |
|
| 650 | 1 | 4 |
_aMechanical Engineering. _95856 |
| 650 | 2 | 4 |
_aMathematical and Computational Engineering Applications. _931559 |
| 650 | 2 | 4 |
_aWaves, instabilities and nonlinear plasma dynamics. _978927 |
| 700 | 1 |
_aLuo, Albert C. J. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _978928 |
|
| 710 | 2 |
_aSpringerLink (Online service) _978929 |
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| 773 | 0 | _tSpringer Nature eBook | |
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_iPrinted edition: _z9783031178825 |
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_iPrinted edition: _z9783031178849 |
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_iPrinted edition: _z9783031178856 |
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_aSynthesis Lectures on Mechanical Engineering, _x2573-3176 _978930 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-17883-2 |
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| 942 | _cEBK | ||
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