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This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011, and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations.  The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.

Engineering. --- Theoretical and Applied Mechanics. --- Computational Mathematics and Numerical Analysis. --- Socio- and Econophysics, Population and Evolutionary Models. --- Computer science --- Mechanics, applied. --- Ingénierie --- Informatique --- Mathematics. --- Mathématiques --- Computer science_xMathematics. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Homotopy theory. --- Differential equations, Nonlinear --- Asymptotic theory. --- Asymptotic theory in nonlinear differential equations --- Deformations, Continuous --- Computer mathematics. --- Sociophysics. --- Econophysics. --- Mechanics. --- Mechanics, Applied. --- Asymptotic expansions --- Topology --- Data-driven Science, Modeling and Theory Building. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Economics --- Statistical physics --- Mathematical sociology --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Statistical methods

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This book is a collection of papers presented at Acoustics and Vibration of Mechanical Structures 2017 – AVMS 2017 – highlighting the current trends and state-of-the-art developments in the field. It covers a broad range of topics, such as noise and vibration control, noise and vibration generation and propagation, the effects of noise and vibration, condition monitoring and vibration testing, modeling, prediction and simulation of noise and vibration, environmental and occupational noise and vibration, noise and vibration attenuators, as well as biomechanics and bioacoustics. The book also presents analytical, numerical and experimental techniques for evaluating linear and non-linear noise and vibration problems (including strong nonlinearity). It is primarily intended for academics, researchers and professionals, as well as PhD students in various fields of the acoustics and vibration of mechanical structures.

Vibration --- Mechanics, Analytic --- Physics. --- Acoustics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Acoustical engineering. --- Engineering Acoustics. --- Vibration, Dynamical Systems, Control. --- Numerical and Computational Physics, Simulation. --- Mathematical Methods in Physics. --- Acoustics in engineering. --- Mathematical physics. --- Physical mathematics --- Physics --- Cycles --- Mechanics --- Sound --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Dynamical systems --- Kinetics --- Force and energy --- Statics --- Acoustic engineering --- Sonic engineering --- Sonics --- Sound engineering --- Sound-waves --- Engineering --- Industrial applications

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Computer science --- Computer. Automation --- informatica --- wiskunde

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This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011, and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.

Sociology --- Economics --- Mathematics --- Classical mechanics. Field theory --- Statistical physics --- Applied physical engineering --- Information systems --- Computer. Automation --- toegepaste mechanica --- sociologie --- computers --- economie --- informatica --- wiskunde --- gegevensanalyse --- mechanica

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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.

Mathematical physics --- Vibrations --- Mechanical properties of solids --- Applied physical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- geluidsleer --- akoestiek --- technische akoestiek --- patroonherkenning --- geluidsisolatie --- toegepaste mechanica --- elektro-akoestiek --- mineralen (chemie) --- mijnbouw --- wiskunde --- fysica --- optica