Bifurcation Dynamics Of A Damped Parametric Pendulum

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Bifurcation Dynamics Of A Damped Parametric Pendulum
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Author : Yu Guo
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Bifurcation Dynamics Of A Damped Parametric Pendulum written by Yu Guo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Technology & Engineering categories.
The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand the complex world. Even though the parametrically excited pendulum is one of the simplest nonlinear systems, until now, complex motions in such a parametric pendulum cannot be achieved. In this book, the bifurcation dynamics of periodic motions to chaos in a damped, parametrically excited pendulum is discussed. Complete bifurcation trees of periodic motions to chaos in the parametrically excited pendulum include: period-1 motion (static equilibriums) to chaos, and period- motions to chaos ( = 1, 2, ···, 6, 8, ···, 12). The aforesaid bifurcation trees of periodic motions to chaos coexist in the same parameter ranges, which are very difficult to determine through traditional analysis. Harmonic frequency-amplitude characteristics of such bifurcation trees are also presented to show motion complexity and nonlinearity in such a parametrically excited pendulum system. The non-travelable and travelable periodic motions on the bifurcation trees are discovered. Through the bifurcation trees of travelable and non-travelable periodic motions, the travelable and non-travelable chaos in the parametrically excited pendulum can be achieved. Based on the traditional analysis, one cannot achieve the adequate solutions presented herein for periodic motions to chaos in the parametrically excited pendulum. The results in this book may cause one rethinking how to determine motion complexity in nonlinear dynamical systems.
Machine Design For Technology Students
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Author : Anthony D'Angelo Jr.
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Machine Design For Technology Students written by Anthony D'Angelo Jr. and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
This book is intended for students taking a Machine Design course leading to a Mechanical Engineering Technology degree. It can be adapted to a Machine Design course for Mechanical Engineering students or used as a reference for adopting systems engineering into a design course. The book introduces the fundamentals of systems engineering, the concept of synthesis, and the basics of trade-off studies. It covers the use of a functional flow block diagram to transform design requirements into the design space to identify all success modes. The book discusses fundamental stress analysis for structures under axial, torsional, or bending loads. In addition, the book discusses the development of analyzing shafts under combined loads by using Mohr’s circle and failure mode criterion. Chapter 3 provides an overview of fatigue and the process to develop the shaft-sizing equations under dynamic loading conditions. Chapter 4 discusses power equations and the nomenclature and stress analysis for spur and straight bevel gears and equations for analyzing gear trains. Other machine component topics include derivation of the disc clutch and its relationship to compression springs, derivation of the flat belt equations, roller and ball bearing life equations, roller chains, and keyways. Chapter 5 introduces the area of computational machine design and provides codes for developing simple and powerful computational methods to solve: cross product required to calculate the torques and bending moments on shafts, 1D stress analysis, reaction loads on support bearings, Mohr’s circle, shaft sizing under dynamic loading, and cone clutch. The final chapter shows how to integrate Systems Engineering into machine design for a capstone project as a project-based collaborative design methodology. The chapter shows how each design requirement is transformed through the design space to identify the proper engineering equations.
Thermodynamic Analysis For Industrial Refrigeration Systems
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Author : John F. Gardner
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Thermodynamic Analysis For Industrial Refrigeration Systems written by John F. Gardner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
The vapor compression cycle (VCC) underpins the vast majority of refrigeration systems throughout the world. Most undergraduate thermodynamics courses cover the VCC, albeit in a cursory fashion. This book is designed to offer an in-depth look at the analysis, design and operation of large-scale industrial ammonia-based refrigeration systems. An important feature of this work is a treatment of computer-aided analysis using CoolProp, an open source resource for evaluating thermodynamic properties. CoolProp can be incorporated into a large number of common computational platforms including Microsfot Excel, Python, and Matlab, all of which are covered in this book.
Modeling And Simulation Of Nanofluid Flow Problems
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Author : Snehashish Chakraverty
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Modeling And Simulation Of Nanofluid Flow Problems written by Snehashish Chakraverty and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
In general, nanofluid is suspension of nanometer-sized particle in base fluids such as water, oil, ethylene glycol mixture etc. Nanofluid has more thermal conductivity compared to the base fluids. As such, the nanofluid has more heat transfer capacity than the base fluids. In order to study nanofluid flow problems, we need to solve related nonlinear differential equations analytically or numerically. But in most cases, we may not get an analytical solution. Accordingly, the related nonlinear differential equations need to be solved by efficient numerical methods. Accordingly, this book addresses various challenging problems related to nanofluid flow. In this regard, different efficient numerical methods such as homotopy perturbation method, Galerkin's method, and least square method are included. Further, the above practical problems are validated in special cases. We believe that this book will be very beneficial for readers who want firsthand knowledge on how to solve nanofluid flow problems.
Towards Analytical Chaotic Evolutions In Brusselators
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Author : Albert C.J. Luo
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Towards Analytical Chaotic Evolutions In Brusselators written by Albert C.J. Luo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles. The dynamics of the Brusselator gives an oscillating reaction mechanism for an autocatalytic, oscillating chemical reaction. The Brusselator is a slow-fast oscillating chemical reaction system. The traditional analytical methods cannot provide analytical solutions of such slow-fast oscillating reaction, and numerical simulations cannot provide a full picture of periodic evolutions in the Brusselator. In this book, the generalized harmonic balance methods are employed for analytical solutions of periodic evolutions of the Brusselator with a harmonic diffusion. The bifurcation tree of period-1 motion to chaos of the Brusselator is presented through frequency-amplitude characteristics, which be measured in frequency domains. Two main results presented in this book are: • analytical routes of periodical evolutions tochaos and • independent period-(2 + 1) evolution to chaos. This book gives a better understanding of periodic evolutions to chaos in the slow-fast varying Brusselator system, and the bifurcation tree of period-1 evolution to chaos is clearly demonstrated, which can help one understand routes of periodic evolutions to chaos in chemical reaction oscillators. The slow-fast varying systems extensively exist in biological systems and disease dynamical systems. The methodology presented in this book can be used to investigate the slow-fast varying oscillating motions in biological systems and disease dynamical systems for a better understanding of how infectious diseases spread.
Automatic Flight Control Systems
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Author : Mohammad Sadraey
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Automatic Flight Control Systems written by Mohammad Sadraey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
This book provides readers with a design approach to the automatic flight control systems (AFCS). The AFCS is the primary on-board tool for long flight operations, and is the foundation for the airspace modernization initiatives. In this text, AFCS and autopilot are employed interchangeably. It presents fundamentals of AFCS/autopilot, including primary subsystems, dynamic modeling, AFCS categories/functions/modes, servos/actuators, measurement devices, requirements, functional block diagrams, design techniques, and control laws. The book consists of six chapters. The first two chapters cover the fundamentals of AFCS and closed-loop control systems in manned and unmanned aircraft. The last four chapters present features of Attitude control systems (Hold functions), Flight path control systems (Navigation functions), Stability augmentation systems, and Command augmentation systems, respectively.
Modeling And Simulation Of Mechatronic Systems Using Simscape
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Author : Shuvra Das
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Modeling And Simulation Of Mechatronic Systems Using Simscape written by Shuvra Das and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
Mechatronic Systems consist of components and/or sub-systems which are from different engineering domains. For example, a solenoid valve has three domains that work in a synergistic fashion: electrical, magnetic, and mechanical (translation). Over the last few decades, engineering systems have become more and more mechatronic. Automobiles are transforming from being gasoline-powered mechanical devices to electric, hybrid electric and even autonomous. This kind of evolution has been possible through the synergistic integration of technology that is derived from different disciplines. Understanding and designing mechatronic systems needs to be a vital component of today's engineering education. Typical engineering programs, however, mostly continue to train students in academic silos (otherwise known as majors) such as mechanical, electrical, or computer engineering. Some universities have started offering one or more courses on this subject and a few have even started full programs around the theme of Mechatronics. Modeling the behavior of Mechatronic systems is an important step for analysis, synthesis, and optimal design of such systems. One key training necessary for developing this expertise is to have comfort and understanding of the basic physics of different domains. A second need is a suitable software tool that implements these laws with appropriate flexibility and is easy to learn. This short text addresses the two needs: it is written for an audience who will likely have good knowledge and comfort in one of the several domains that we will consider, but not necessarily all; the book will also serve as a guide for the students to learn how to develop mechatronic system models with Simscape (a MATLAB tool box). The book uses many examples from different engineering domains to demonstrate how to develop mechatronic system models and what type of information can be obtained from the analyses.
Thermodynamic Analysis For Industrial Refrigeration Systems
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Author : John Gardner
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2021-08-10
Thermodynamic Analysis For Industrial Refrigeration Systems written by John Gardner and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Technology & Engineering categories.
The vapor compression cycle (VCC) underpins the vast majority of refrigeration systems throughout the world. Most undergraduate thermodynamics courses cover the VCC, albeit in a cursory fashion. This book is designed to offer an in-depth look at the analysis, design and operation of large-scale industrial ammonia-based refrigeration systems. An important feature of this work is a treatment of computer-aided analysis using CoolProp, an open source resource for evaluating thermodynamic properties. CoolProp can be incorporated into a large number of common computational platforms including Microsfot Excel, Python, and Matlab, all of which are covered in this book.
Introduction To Deep Learning For Engineers
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Author : Tariq M. Arif
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Introduction To Deep Learning For Engineers written by Tariq M. Arif and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
This book provides a short introduction and easy-to-follow implementation steps of deep learning using Google Cloud Platform. It also includes a practical case study that highlights the utilization of Python and related libraries for running a pre-trained deep learning model. In recent years, deep learning-based modeling approaches have been used in a wide variety of engineering domains, such as autonomous cars, intelligent robotics, computer vision, natural language processing, and bioinformatics. Also, numerous real-world engineering applications utilize an existing pre-trained deep learning model that has already been developed and optimized for a related task. However, incorporating a deep learning model in a research project is quite challenging, especially for someone who doesn't have related machine learning and cloud computing knowledge. Keeping that in mind, this book is intended to be a short introduction of deep learning basics through the example of a practical implementation case. The audience of this short book is undergraduate engineering students who wish to explore deep learning models in their class project or senior design project without having a full journey through the machine learning theories. The case study part at the end also provides a cost-effective and step-by-step approach that can be replicated by others easily.
Sequential Bifurcation Trees To Chaos In Nonlinear Time Delay Systems
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Author : Siyuan Xing
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Sequential Bifurcation Trees To Chaos In Nonlinear Time Delay Systems written by Siyuan Xing and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy. The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by the period-doubling bifurcation. From finite Fourier series, harmonic amplitude and harmonic phases for periodic motions on the global bifurcation tree are obtained for frequency analysis. Numerical illustrations of periodic motions are given for complex periodic motions in global bifurcation trees. The rich dynamics of the 1-D, delayed, nonlinear dynamical system is presented. Such global sequential periodic motions to chaos exist in nonlinear dynamical systems. The frequency-amplitude analysis can be used for re-construction of analytical expression of periodic motions, which can be used for motion control in dynamical systems.