Strong Nonlinear Oscillators (Record no. 80620)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04640nam a22005775i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-58826-1 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801222312.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170529s2018 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319588261 |
| -- | 978-3-319-58826-1 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.3 |
| 100 1# - AUTHOR NAME | |
| Author | Cveticanin, Livija. |
| 245 10 - TITLE STATEMENT | |
| Title | Strong Nonlinear Oscillators |
| Sub Title | Analytical Solutions / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. 2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XII, 317 p. 93 illus., 21 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematical Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Preface 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 ## - SUMMARY, ETC. | |
| Summary, etc | This 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. . |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-58826-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2018. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Vibration. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody Systems and Mechanical Vibrations. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Methods in Physics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Physics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear Optics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2192-4740 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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