Kovacic, Ivana.
Nonlinear Oscillations Exact Solutions and their Approximations / [electronic resource] : by Ivana Kovacic. - 1st ed. 2020. - X, 273 p. 123 illus., 105 illus. in color. online resource.
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.
9783030531720
10.1007/978-3-030-53172-0 doi
Mechanical engineering.
Nonlinear Optics.
Mechanics, Applied.
Mechanical Engineering.
Nonlinear Optics.
Engineering Mechanics.
TJ1-1570
621
Nonlinear Oscillations Exact Solutions and their Approximations / [electronic resource] : by Ivana Kovacic. - 1st ed. 2020. - X, 273 p. 123 illus., 105 illus. in color. online resource.
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.
9783030531720
10.1007/978-3-030-53172-0 doi
Mechanical engineering.
Nonlinear Optics.
Mechanics, Applied.
Mechanical Engineering.
Nonlinear Optics.
Engineering Mechanics.
TJ1-1570
621