Nonlinear Oscillations

Exact Solutions and their Approximations

Ivana Kovacic (Autor)

Buch | Hardcover

X, 273 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-53171-3 (ISBN)

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This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations.

Ivana Kovacic is a Full Professor of Mechanics at the Faculty of Technical Sciences, University of Novi Sad, Serbia, and the Head of the Centre for Vibro-Acoustic Systems and Signal Processing CEVAS at the same faculty. Her research involves the use of quantitative and qualitative methods to study governing equations arising from nonlinear dynamics problems. She is the editor/author of the books 'The Duffing Equation: Nonlinear Oscillators and their Behaviour' and 'Mechanical Vibrations: Fundamentals with Solved Examples' (both published by Wiley) as well as two textbooks in Serbian. She is a Subject Editor in three academic journals: Journal of Sound and Vibration (Elsevier), Mechanics Research Communications (Elsevier) and Meccanica (Springer).

Chapter1. Oscillators and Oscillatory Responses in Practical and Theoretical Systems.- Chapter2. Free Conservative Oscillators: from Linear to Nonlinear Systems.- Chapter3. Free Damped Oscillators.- Chapter4. Forced Oscillators.- Chapter5. Nonlinear Isochronous Oscillators.- Chapter6. From Chains of Nonlinear Oscillators to Continuous Nonlinear Systems

"The book is well written and very easy to read. From the first pages, where the reader finds the motivation, it is an engaging and informatively very beneficial reading. The connection of mechanics and mathematics is described as well. The text is complemented by illustrative pictures." (Petr Hasil, Mathematical Reviews, October, 2022)

“The book is well written and very easy to read. From the first pages, where the reader finds the motivation, it is an engaging and informatively very beneficial reading. The connection of mechanics and mathematics is described as well. The text is complemented by illustrative pictures.” (Petr Hasil, Mathematical Reviews, October, 2022)

Erscheinungsdatum	17.08.2020
Zusatzinfo	X, 273 p. 123 illus., 105 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	600 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Optik
Themenwelt	Technik ► Maschinenbau
Schlagworte	Hardening Duffing oscillators • Isochronous oscillators • Jacobi elliptic functions • Purely nonlinear oscillators • Quadratic oscillators • Softening Duffing oscillators
ISBN-10	3-030-53171-6 / 3030531716
ISBN-13	978-3-030-53171-3 / 9783030531713
Zustand	Neuware