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Titlebook: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems; Vasile Marinca,Nicolae Herisanu,Bogdan Marinca Book 2021 The Editor(s)

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書目名稱Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
編輯Vasile Marinca,Nicolae Herisanu,Bogdan Marinca
視頻videohttp://file.papertrans.cn/703/702783/702783.mp4
概述Offers an introduction to the Optimal Auxiliary Functions Method and applies it to various engineering problems.Provides a simple but rigorous way to control and adjust the convergence of the solution
圖書封面Titlebook: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems;  Vasile Marinca,Nicolae Herisanu,Bogdan Marinca Book 2021 The Editor(s)
描述.This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made...The book contains a large amount of practical models from various fields of engineering such asclassical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more...The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Ap
出版日期Book 2021
關(guān)鍵詞Optimal Auxiliary Functions Method; Blasius Problem; Fluid Mechanics; Thermodynamics; Nonlinear Oscilla
版次1
doihttps://doi.org/10.1007/978-3-030-75653-6
isbn_softcover978-3-030-75655-0
isbn_ebook978-3-030-75653-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Transversal Oscillations of a Beam with Quintic Nonlinearitiesbration of these structures. Nonlinear dynamic problems have fascinated engineers, mathematicians and physicists for a long time. Geometrically nonlinear vibration of beams with different boundary conditions has long history. Many analytical and numerical studies were reported in the open literature.
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Approximate Analytical Solutions to Jerk Equations of vibrations in components in the machine assembly, accelerated wear in the transmission and bearing elements, noisy operations and large contouring errors at discontinuities (such as corners) in the machining path.
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https://doi.org/10.1007/978-3-030-75653-6Optimal Auxiliary Functions Method; Blasius Problem; Fluid Mechanics; Thermodynamics; Nonlinear Oscilla
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978-3-030-75655-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Nonlinear Vibrations of Doubly Clamped Nanobeam Incorporating the Casimir Forcef many commercial systems including metal alloy, accelerometers for airbag deployment in automobiles, single crystal silicon switches, filters, resonators, sensors, ink jet printer heads, atomic force microscopes, and so on.
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