Nonlinear Oscillations
Exact Solutions and their Approximations
1st Edition
Published on 14. August 2020
X, 273 pages
978-3-030-53172-0 (ISBN)
Description
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.
Reviews / Votes
"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)More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
X, 273 p. 123 illus., 105 illus. in color.
File size
8,94 MB
ISBN-13
978-3-030-53172-0 (9783030531720)
DOI
10.1007/978-3-030-53172-0
Schweitzer Classification
Other editions
Additional editions
Book
08/2020
Springer
€106.99
Shipment within 7-9 days
Person
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).
Content
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
