Nonlinear Oscillations: Exact Solutions and their Approximations

✍ Scribed by Ivana Kovacic

Publisher: Springer International Publishing;Springer
Year: 2020
Tongue: English
Leaves: 278
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-x
Oscillators and Oscillatory Responses in Practical and Theoretical Systems (Ivana Kovacic)....Pages 1-17
Free Conservative Oscillators: From Linear to Nonlinear Systems (Ivana Kovacic)....Pages 19-76
Free Damped Oscillators (Ivana Kovacic)....Pages 77-132
Forced Oscillators (Ivana Kovacic)....Pages 133-187
Nonlinear Isochronous Oscillators (Ivana Kovacic)....Pages 189-222
From Chains of Nonlinear Oscillators to Continuous Nonlinear Systems (Ivana Kovacic)....Pages 223-259
Back Matter ....Pages 261-273

✦ Subjects

Engineering; Mechanical Engineering; Applications of Nonlinear Dynamics and Chaos Theory; Theoretical and Applied Mechanics

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