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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

2021-07-14 Technology & Engineering
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Release : 2021-07-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 53X/5 ( reviews)

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Book Synopsis Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems by : Vasile Marinca

Download or read book Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems written by Vasile Marinca. This book was released on 2021-07-14. Available in PDF, EPUB and Kindle. Book excerpt: 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 as classical 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 Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.

Nonlinear Dynamical Systems in Engineering

2012-01-05 Technology & Engineering
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Release : 2012-01-05
Genre : Technology & Engineering
Kind : eBook
Book Rating : 341/5 ( reviews)

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Book Synopsis Nonlinear Dynamical Systems in Engineering by : Vasile Marinca

Download or read book Nonlinear Dynamical Systems in Engineering written by Vasile Marinca. This book was released on 2012-01-05. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.

Acoustics and Vibration of Mechanical Structures – AVMS-2021

2022-08-10 Science
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Release : 2022-08-10
Genre : Science
Kind : eBook
Book Rating : 875/5 ( reviews)

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Book Synopsis Acoustics and Vibration of Mechanical Structures – AVMS-2021 by : Nicolae Herisanu

Download or read book Acoustics and Vibration of Mechanical Structures – AVMS-2021 written by Nicolae Herisanu. This book was released on 2022-08-10. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of contributions presented at the 16th Conference on Acoustic and Vibration of Mechanical Structure held in Timişoara, Romania, May 28, 2021. The conference focused on a broad range of topics related to acoustics and vibration, such as noise and vibration control, noise and vibration generation and propagation, effects of noise and vibration, condition monitoring and vibration testing, modelling, prediction and simulation of noise and vibration, environmental and occupational noise and vibration, noise and vibration attenuators, biomechanics and bioacoustics. The book also discusses analytical, numerical and experimental techniques applicable to analyze linear and non-linear noise and vibration problems (including strong nonlinearity) and it is primarily intended to emphasize the actual trends and state-of-the-art developments in the above mentioned topics. The primary audience of this book consist of academics, researchers and professionals, as well as PhD students concerned with various fields of acoustics and vibration of mechanical structures.

Dynamical Systems in Applications

2018-09-01 Mathematics
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Release : 2018-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 014/5 ( reviews)

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Book Synopsis Dynamical Systems in Applications by : Jan Awrejcewicz

Download or read book Dynamical Systems in Applications written by Jan Awrejcewicz. This book was released on 2018-09-01. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Divided into 46 contributed chapters, it addresses a diverse range of problems. The issues discussed include: Finite Element Analysis of optomechatronic choppers with rotational shafts; computational based constrained dynamics generation for a model of a crane with compliant support; model of a kinetic energy recuperation system for city buses; energy accumulation in mechanical resonance; hysteretic properties of shell dampers; modeling a water hammer with quasi-steady and unsteady friction in viscoelastic conduits; application of time-frequency methods for the assessment of gas metal arc welding conditions; non-linear modeling of the human body’s dynamic load; experimental evaluation of mathematical and artificial neural network modeling for energy storage systems; interaction of bridge cables and wake in vortex-induced vibrations; and the Sommerfeld effect in a single DOF spring-mass-damper system with non-ideal excitation.

Nonlinear Dynamical Systems in Engineering

2012-01-05 Technology & Engineering
Download Nonlinear Dynamical Systems in Engineering PDF Online Free

Author :
Release : 2012-01-05
Genre : Technology & Engineering
Kind : eBook
Book Rating : 35X/5 ( reviews)

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Book Synopsis Nonlinear Dynamical Systems in Engineering by : Vasile Marinca

Download or read book Nonlinear Dynamical Systems in Engineering written by Vasile Marinca. This book was released on 2012-01-05. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.

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