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Strong Nonlinear Oscillators - Analytical Solutions (Paperback, Softcover reprint of the original 2nd ed. 2018)
Loot Price: R4,497
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Strong Nonlinear Oscillators - Analytical Solutions (Paperback, Softcover reprint of the original 2nd ed. 2018)
Series: Mathematical Engineering
Expected to ship within 10 - 15 working days
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This textbook presents the motion of pure nonlinear oscillatory
systems and various solution procedures which give the approximate
solutions of the strong nonlinear oscillator equations. It presents
the author's original method for the analytical solution procedure
of the pure nonlinear oscillator system. After an introduction, the
physical explanation of the pure nonlinearity and of the pure
nonlinear oscillator is given. The analytical solution for free and
forced vibrations of the one-degree-of-freedom strong nonlinear
system with constant and time variable parameters is considered. In
this second edition of the book, the number of approximate solving
procedures for strong nonlinear oscillators is enlarged and a
variety of procedures for solving free strong nonlinear oscillators
is suggested. A method for error estimation is also given which is
suitable to compare the exact and approximate solutions. Besides
the oscillators with one degree-of-freedom, the one and two mass
oscillatory systems with two-degrees-of-freedom and continuous
oscillators are considered. The chaos and chaos suppression in
ideal and non-ideal mechanical systems is explained. In this second
edition more attention is given to the application of the suggested
methodologies and obtained results to some practical problems in
physics, mechanics, electronics and biomechanics. Thus, for the
oscillator with two degrees-of-freedom, a generalization of the
solving procedure is performed. Based on the obtained results,
vibrations of the vocal cord are analyzed. In the book the
vibration of the axially purely nonlinear rod as a continuous
system is investigated. The developed solving procedure and the
solutions are applied to discuss the muscle vibration. Vibrations
of an optomechanical system are analyzed using the oscillations of
an oscillator with odd or even quadratic nonlinearities. The
extension of the forced vibrations of the system is realized by
introducing the Ateb periodic excitation force which is the series
of a trigonometric function. The book is self-consistent and
suitable for researchers and as a textbook for students and also
professionals and engineers who apply these techniques to the field
of nonlinear oscillations.
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