| 000 | 04640nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-58826-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220801222312.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170529s2018 sz | s |||| 0|eng d | ||
| 020 |
_a9783319588261 _9978-3-319-58826-1 |
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| 024 | 7 |
_a10.1007/978-3-319-58826-1 _2doi |
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| 050 | 4 | _aTA352-356 | |
| 072 | 7 |
_aTGMD4 _2bicssc |
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| 072 | 7 |
_aTEC009070 _2bisacsh |
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| 072 | 7 |
_aTGMD _2thema |
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| 082 | 0 | 4 |
_a620.3 _223 |
| 100 | 1 |
_aCveticanin, Livija. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _960766 |
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| 245 | 1 | 0 |
_aStrong Nonlinear Oscillators _h[electronic resource] : _bAnalytical Solutions / _cby Livija Cveticanin. |
| 250 | _a2nd ed. 2018. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018. |
|
| 300 |
_aXII, 317 p. 93 illus., 21 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aMathematical Engineering, _x2192-4740 |
|
| 505 | 0 | _aPreface to Second Edition -- Introduction -- Nonlinear Oscillators -- Pure Nonlinear Oscillator -- Free Vibrations -- Oscillators with Time-Variable Parameters -- Forced Vibrations -- Harmonically Excited Pure Nonlinear Oscillator -- Two-Degree-of-Freedom Oscillator -- Chaos in Oscillators -- Vibration of the Axially Purely Nonlinear Rod. | |
| 520 | _aThis textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the author’s original method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameters is considered. In this second edition of the book, the number of approximate solving procedures for strong nonlinear oscillators is enlarged and a variety of procedures for solving free strong nonlinear oscillators is suggested. A method for error estimation is also given which is suitable to compare the exact and approximate solutions. Besides the oscillators with one degree-of-freedom, the one and two mass oscillatory systems with two-degrees-of-freedom and continuous oscillators are considered. The chaos and chaos suppression in ideal and non-ideal mechanical systems is explained. In this second edition more attention is given to the application of the suggested methodologies and obtained results to some practical problems in physics, mechanics, electronics and biomechanics. Thus, for the oscillator with two degrees-of-freedom, a generalization of the solving procedure is performed. Based on the obtained results, vibrations of the vocal cord are analyzed. In the book the vibration of the axially purely nonlinear rod as a continuous system is investigated. The developed solving procedure and the solutions are applied to discuss the muscle vibration. Vibrations of an optomechanical system are analyzed using the oscillations of an oscillator with odd or even quadratic nonlinearities. The extension of the forced vibrations of the system is realized by introducing the Ateb periodic excitation force which is the series of a trigonometric function. The book is self-consistent and suitable for researchers and as a textbook for students and also professionals and engineers who apply these techniques to the field of nonlinear oscillations. . | ||
| 650 | 0 |
_aMultibody systems. _96018 |
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| 650 | 0 |
_aVibration. _96645 |
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| 650 | 0 |
_aMechanics, Applied. _93253 |
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| 650 | 0 |
_aMathematical physics. _911013 |
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| 650 | 0 |
_aNonlinear Optics. _911414 |
|
| 650 | 1 | 4 |
_aMultibody Systems and Mechanical Vibrations. _932157 |
| 650 | 2 | 4 |
_aMathematical Methods in Physics. _931865 |
| 650 | 2 | 4 |
_aMathematical Physics. _911013 |
| 650 | 2 | 4 |
_aNonlinear Optics. _911414 |
| 710 | 2 |
_aSpringerLink (Online service) _960767 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319588254 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319588278 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319864846 |
| 830 | 0 |
_aMathematical Engineering, _x2192-4740 _960768 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-58826-1 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c80620 _d80620 |
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