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|a (OCoLC)1193133824
|z (OCoLC)1184683440
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|a EBLCP
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4 |
|a QA867.5
|b .K68 2020eb
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| 100 |
1 |
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|a Kovacic, Ivana,
|d 1972-
|0 http://id.loc.gov/authorities/names/n2010061389
|
| 245 |
1 |
0 |
|a Nonlinear oscillations :
|b exact solutions and their approximations /
|c Ivana Kovacic.
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| 260 |
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|a Cham :
|b Springer,
|c 2020.
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| 300 |
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|a 1 online resource (278 p.)
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 500 |
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|a Description based upon print version of record.
|
| 505 |
0 |
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|a Intro -- Preface -- Contents -- 1 Oscillators and Oscillatory Responses in Practical and Theoretical Systems -- 1.1 Oscillators and Oscillatory Responses in Practical Systems -- 1.2 Oscillators in Theory: From Mechanical to Mathematical Models -- 1.2.1 Linear (Simple Harmonic) Oscillators -- 1.2.2 Duffing-Type Oscillators -- 1.2.3 Purely Nonlinear Oscillators -- 1.2.4 Oscillators with a Constant Restoring Force -- References -- 2 Free Conservative Oscillators: From Linear to Nonlinear Systems -- 2.1 Introduction -- 2.2 Linear (Simple Harmonic) Oscillators (SHOs)
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| 505 |
8 |
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|a 2.3 Duffing-Type Oscillators -- 2.3.1 Briefly About Jacobi Elliptic Functions -- 2.3.2 Hardening Duffing Oscillators (HDOs) -- 2.3.3 Pure Cubic Oscillators (PCOs) -- 2.3.4 Softening Duffing Oscillator (SDO) -- 2.3.5 Bistable Duffing Oscillators (BDOs) -- 2.4 Quadratic Oscillators (QOs) -- 2.5 Purely Nonlinear Oscillators (PNOs) -- 2.5.1 On the Period of Oscillations -- 2.5.2 On the Motion of Conservative Oscillators -- 2.6 Oscillators with Constant Restoring Force (CRFO) -- References -- 3 Free Damped Oscillators -- 3.1 Introduction
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| 505 |
8 |
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|a 3.2 Oscillators with Linear Viscous Damping: Lagrangians and Conservation Laws -- 3.2.1 Linear Oscillators -- 3.2.2 Duffing Oscillators -- 3.3 Purely Nonlinear Oscillators with Quadratic Viscous Damping: Exact Solution Based on Energy Considerations and Approximations via Trigonometric Functions -- 3.3.1 Energy-Displacement Function -- 3.3.2 Phase Trajectories and Some Characteristics of Motion -- 3.3.3 Maximal Velocities -- 3.3.4 Approximate Solutions for Motion -- 3.4 Purely Nonlinear Oscillators with Fractional Damping: Approximate Solutions via Trigonometric Functions
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| 505 |
8 |
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|a 3.4.1 Approximate Solutions via Trigonometric Functions -- 3.5 Non-conservative Purely Nonlinear Oscillators: Approximate Solutions via Elliptic Functions -- 3.5.1 Conservative Oscillator: Generative Solution -- 3.5.2 Non-conservative Oscillator: Approximate Solutions via Elliptic functions -- 3.6 Non-conservative Oscillators with Constant Restoring Force: Approximate Solutions via Wave Functions -- 3.6.1 Conservative Oscillator: Generative Solution -- 3.6.2 Non-conservative Oscillator: Approximate Solutions via Wave functions
|
| 505 |
8 |
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|a 3.6.3 Example 3.9 Antisymmetric Oscillator with Linear Viscous Damping -- 3.6.4 Example 3.10 Antisymmetric Oscillator with Quadratic Damping -- References -- 4 Forced Oscillators -- 4.1 Introduction -- 4.2 Forced Response of Duffing-Type Oscillators: Exact Solutions -- 4.2.1 Motivation for the Methodology -- 4.2.2 Duffing Oscillators -- 4.2.3 Simplification to the Case of Harmonic Excitation: Related Approximations -- 4.3 Tuning the Excitation in Odd-Parity Oscillator to Make It Respond ... -- 4.3.1 Tuning the Excitation in a Hardening Duffing Oscillator
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| 500 |
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|a 4.3.2 Tuning the Excitation in Oscillators with Higher Order Odd-Power form Nonlinearity of the Restoring Force
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| 504 |
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|a Includes bibliographical references.
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| 520 |
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|a 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.
|
| 650 |
|
0 |
|a Nonlinear oscillations.
|0 http://id.loc.gov/authorities/subjects/sh85092329
|
| 650 |
|
7 |
|a Nonlinear science.
|2 bicssc
|
| 650 |
|
7 |
|a Mechanics of solids.
|2 bicssc
|
| 650 |
|
7 |
|a Mechanical engineering.
|2 bicssc
|
| 650 |
|
7 |
|a Science
|x Chaotic Behavior in Systems.
|2 bisacsh
|
| 650 |
|
7 |
|a Technology & Engineering
|x Mechanical.
|2 bisacsh
|
| 650 |
|
7 |
|a Nonlinear oscillations
|2 fast
|0 (OCoLC)fst01038804
|
| 655 |
|
0 |
|a Electronic books.
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| 655 |
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4 |
|a Electronic books.
|
| 776 |
0 |
8 |
|i Print version:
|a Kovacic, Ivana
|t Nonlinear Oscillations : Exact Solutions and Their Approximations
|d Cham : Springer International Publishing AG,c2020
|z 9783030531713
|
| 903 |
|
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|a HeVa
|
| 929 |
|
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| 928 |
|
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|t Library of Congress classification
|a QA867.5 .K68 2020eb
|l Online
|c UC-FullText
|u https://link.springer.com/10.1007/978-3-030-53172-0
|z Springer Nature
|g ebooks
|i 12623004
|
