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Nonlinear Oscillations [electronic resource] : Exact Solutions and their Approximations / by Ivana Kovacic.

By: Kovacic, Ivana [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: X, 273 p. 123 illus., 105 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030531720.Subject(s): Mechanical engineering | Nonlinear Optics | Mechanics, Applied | Mechanical Engineering | Nonlinear Optics | Engineering MechanicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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.

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