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Author : Krzysztof Paweł Arczewski
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (169 download)
Download or read book Mathematical Modelling of Complex Mechanical Systems written by Krzysztof Paweł Arczewski and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Arczewski
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Modelling of Complex Mechanical Systems: Discrete models written by K. Arczewski and published by Prentice Hall. This book was released on 1993 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This, the first of a two-volume work, presents the fundamentals of model creation, providing a methodology for the creation of mathematical models at various levels of mechanical phenomena. Examples illustrate the text, taken from the fields of aeronautical, civil and mechanical engineering.
Author : Francois Axisa
Publisher : Elsevier
ISBN 13 : 0080511864
Total Pages : 455 pages
Book Rating : 4.0/5 (85 download)
Download or read book Modelling of Mechanical Systems: Discrete Systems written by Francois Axisa and published by Elsevier. This book was released on 2003-11-01 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume is concerned with discrete systems – the study of which constitutes the cornerstone of all mechanical systems, linear or non-linear. It covers the formulation of equations of motion and the systematic study of free and forced vibrations. The book goes into detail about subjects such as generalized coordinates and kinematical conditions; Hamilton's principle and Lagrange equations; linear algebra in N-dimensional linear spaces and the orthogonal basis of natural modes of vibration of conservative systems. Also included are the Laplace transform and forced responses of linear dynamical systems, the Fourier transform and spectral analysis of excitation and response deterministic signals.Forthcoming volumes in this series:Vol II: Structural Elements; to be published in June 2005Vol III: Fluid-structure Interactions; to be published in August 2006Vol IV: Flow-induced Vibrations; to be published in August 2007* Presents the general methods that provide a unified framework to model mathematically mechanical systems of interest to the engineer, analyzing the response of these systems* Focuses on linear problems, but includes some aspects of non-linear configuration* Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations* Discusses the mathematical techniques used to perform analytical studies and numerical simulations on the computer
Author : Vladimir Ryzhov
Publisher : Springer Nature
ISBN 13 : 9811630534
Total Pages : 168 pages
Book Rating : 4.8/5 (116 download)
Download or read book Modeling and Simulation of Complex Dynamical Systems written by Vladimir Ryzhov and published by Springer Nature. This book was released on 2021-07-16 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the practical aspects of computer modelling and simulation of complex dynamical systems for students. Mechanical systems are considered in the book as representative examples of dynamical systems. Wolfram SystemModeler, in combination with Learning Management System Sakai, is used as an instrument for studying features of various physical and technical phenomena and processes. Each of the presented virtual labs may be considered a stand-alone mini project to enable students to go through all the steps of mathematical modelling and computer simulation—from the problem statement to mathematical and physical analysis of the obtained result. The book is useful for teachers to organize the educational process, allowing gradual monitoring of the learning process and assessment of students’ competencies. It also allows tutors to design individual educational trajectories for students to achieve educational properties. The subject of the book is an extension of activity started by the international team of authors within the InMotion project of the European programme ERASMUS+.
Author : Danielle Welch
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781542674867
Total Pages : 50 pages
Book Rating : 4.6/5 (748 download)
Download or read book Mathematical Modeling of Mechanical Systems and Electrical and Fluid written by Danielle Welch and published by Createspace Independent Publishing Platform. This book was released on 2017-01-30 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: In studying control systems the reader must be able to model dynamic systems in mathematical terms and analyze their dynamic characteristics.A mathematical model of a dynamic system is defined as a set of equations that represents the dynamics of the system accurately, or at least fairly well. Note that a mathematical model is not unique to a given system.A system may be represented in many different ways and, therefore, may have many mathematical models, depending on one's perspective.
Author : Francesco dell'Isola
Publisher : Cambridge University Press
ISBN 13 : 1108850189
Total Pages : 409 pages
Book Rating : 4.1/5 (88 download)
Download or read book Discrete and Continuum Models for Complex Metamaterials written by Francesco dell'Isola and published by Cambridge University Press. This book was released on 2020-03-12 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multidisciplinary modeling and computation. The relationship between discrete and continuous models is discussed from both mathematical and engineering viewpoints, making the text ideal for those interested in the foundation of mechanics and computational applications, and innovative viewpoints on the use of discrete systems to model metamaterials are presented for those who want to go deeper into the field. An ideal text for graduate students and researchers interested in continuum approaches to the study of modern materials, in mechanical engineering, civil engineering, applied mathematics, physics, and materials science.
Author : Nino Boccara
Publisher : Springer Science & Business Media
ISBN 13 : 1441965629
Total Pages : 490 pages
Book Rating : 4.4/5 (419 download)
Download or read book Modeling Complex Systems written by Nino Boccara and published by Springer Science & Business Media. This book was released on 2010-09-09 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.
Author : K. Arczewski
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (636 download)
Download or read book Mathematical Modelling of Complex Mechanical Systems written by K. Arczewski and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Friedrich Pfeiffer
Publisher : Springer
ISBN 13 : 3319402560
Total Pages : 392 pages
Book Rating : 4.3/5 (194 download)
Download or read book The Art of Modeling Mechanical Systems written by Friedrich Pfeiffer and published by Springer. This book was released on 2016-09-14 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume present rules for mechanical models in a general systematic way, always in combination with small and large examples, many from industry, illustrating the most important features of modeling. The best way to reach a good solution is discussed. The papers address researchers and engineers from academia and from industry, doctoral students and postdocs, working in the fields of mechanical, civil and electrical engineering as well as in fields like applied physics or applied mathematics.
Author : Ranjit Kumar Upadhyay
Publisher : CRC Press
ISBN 13 : 1439898863
Total Pages : 367 pages
Book Rating : 4.4/5 (398 download)
Download or read book Introduction to Mathematical Modeling and Chaotic Dynamics written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2013-07-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®. The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
ISBN 13 : 1402089880
Total Pages : 570 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mechanical Systems, Classical Models written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2008-09-24 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e. : the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions principle, respectively. Other models, e. g. , the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller than the light velocity in vacuum. The non-classical models are relativistic and quantic. Mechanics has as object of study mechanical systems. The first volume of this book dealt with particle dynamics. The present one deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems. We put in evidence the difference between these models, as well as the specificity of the corresponding studies; the generality of the proofs and of the corresponding computations yields a common form of the obtained mechanical results for both discrete and continuous systems. We mention the thoroughness by which the dynamics of the rigid solid with a fixed point has been presented. The discrete or continuous mechanical systems can be non-deformable (e. g.
Author : Bohdan T. Kulakowski
Publisher : Cambridge University Press
ISBN 13 : 113946423X
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Dynamic Modeling and Control of Engineering Systems written by Bohdan T. Kulakowski and published by Cambridge University Press. This book was released on 2007-07-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is ideal for a course in engineering systems dynamics and controls. The work is a comprehensive treatment of the analysis of lumped parameter physical systems. Starting with a discussion of mathematical models in general, and ordinary differential equations, the book covers input/output and state space models, computer simulation and modeling methods and techniques in mechanical, electrical, thermal and fluid domains. Frequency domain methods, transfer functions and frequency response are covered in detail. The book concludes with a treatment of stability, feedback control (PID, lead-lag, root locus) and an introduction to discrete time systems. This new edition features many new and expanded sections on such topics as: solving stiff systems, operational amplifiers, electrohydraulic servovalves, using Matlab with transfer functions, using Matlab with frequency response, Matlab tutorial and an expanded Simulink tutorial. The work has 40% more end-of-chapter exercises and 30% more examples.
Author : Jorge Angeles
Publisher : Springer Science & Business Media
ISBN 13 : 1441910263
Total Pages : 578 pages
Book Rating : 4.4/5 (419 download)
Download or read book Dynamic Response of Linear Mechanical Systems written by Jorge Angeles and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Response of Linear Mechanical Systems: Modeling, Analysis and Simulation can be utilized for a variety of courses, including junior and senior-level vibration and linear mechanical analysis courses. The author connects, by means of a rigorous, yet intuitive approach, the theory of vibration with the more general theory of systems. The book features: A seven-step modeling technique that helps structure the rather unstructured process of mechanical-system modeling A system-theoretic approach to deriving the time response of the linear mathematical models of mechanical systems The modal analysis and the time response of two-degree-of-freedom systems—the first step on the long way to the more elaborate study of multi-degree-of-freedom systems—using the Mohr circle Simple, yet powerful simulation algorithms that exploit the linearity of the system for both single- and multi-degree-of-freedom systems Examples and exercises that rely on modern computational toolboxes for both numerical and symbolic computations as well as a Solutions Manual for instructors, with complete solutions of a sample of end-of-chapter exercises Chapters 3 and 7, on simulation, include in each “Exercises” section a set of miniprojects that require code-writing to implement the algorithms developed in these chapters
Author : Francois Axisa
Publisher : Elsevier
ISBN 13 : 0080461360
Total Pages : 521 pages
Book Rating : 4.0/5 (84 download)
Download or read book Modelling of Mechanical Systems: Structural Elements written by Francois Axisa and published by Elsevier. This book was released on 2005-08-22 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modelling of mechanical systems provides engineers and students with the methods to model and understand mechanical systems by using both mathematical and computer-based tools. Written by an eminent authority in the field, this is the second of four volumes which provide engineers with a comprehensive resource on this cornerstone mechanical engineering subject. Dealing with continuous systems, this book covers solid mechanics, beams, plates and shells. In a clear style and with a practical rather than theoretical approach, it shows how to model continuous systems in order to study vibration modes, motion and forces. Appendices give useful primers on aspects of the mathematics introduced in the book. Other volumes in the series cover discrete systems, fluid-structure interaction and flow-induced vibration.*Axisa is a world authority in the modelling of systems*Comprehensive coverage of mathematical techniques used to perform computer-based analytical studies and numerical simulations*A key reference for mechanical engineers, researchers and graduate students in this cornerstone subject
Author : Edgardo O. Taroco
Publisher : John Wiley & Sons
ISBN 13 : 1119600901
Total Pages : 606 pages
Book Rating : 4.1/5 (196 download)
Download or read book Introduction to the Variational Formulation in Mechanics written by Edgardo O. Taroco and published by John Wiley & Sons. This book was released on 2020-02-25 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces readers to the fundamentals and applications of variational formulations in mechanics Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book provides a unified theoretical framework for the construction of a wide range of multiscale models. Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications enables readers to develop, on top of solid mathematical (variational) bases, and following clear and precise systematic steps, several models of physical systems, including problems involving multiple scales. It covers: Vector and Tensor Algebra; Vector and Tensor Analysis; Mechanics of Continua; Hyperelastic Materials; Materials Exhibiting Creep; Materials Exhibiting Plasticity; Bending of Beams; Torsion of Bars; Plates and Shells; Heat Transfer; Incompressible Fluid Flow; Multiscale Modeling; and more. A self-contained reader-friendly approach to the variational formulation in the mechanics Examines development of advanced variational formulations in different areas within the field of mechanics using rather simple arguments and explanations Illustrates application of the variational modeling to address hot topics such as the multiscale modeling of complex material behavior Presentation of the Method of Virtual Power as a systematic tool to construct mathematical models of physical systems gives readers a fundamental asset towards the architecture of even more complex (or open) problems Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications is a ideal book for advanced courses in engineering and mathematics, and an excellent resource for researchers in engineering, computational modeling, and scientific computing.
Author : Frederick R. Marotto
Publisher : Cengage Learning
ISBN 13 : 9780495018650
Total Pages : 400 pages
Book Rating : 4.0/5 (186 download)
Download or read book Introduction to Mathematical Modeling Using Discrete Dynamical Systems written by Frederick R. Marotto and published by Cengage Learning. This book was released on 2005-09-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using discrete dynamical systems, this book introduces powerful mathematical modeling techniques, both standard analytical and modern computational, to students in mathematics, the natural sciences, and the social sciences. With minimal mathematical background, students will quickly progress from the traditional study of exponential growth and decay that simple linear equations always exhibit, to an investigation of recently discovered chaotic dynamics often associated with nonlinear systems. A wide diversity of applications demonstrates the usefulness and relevance of topics that have often been viewed as excessively theoretical or abstract, such as sequences, limits, linear algebra, complex variables, and more. By taking advantage of discrete dynamical systems, students will have the opportunity to experience some fascinating areas of mathematical discovery.
Author : V. Vemuri
Publisher : Academic Press
ISBN 13 : 1483267520
Total Pages : 465 pages
Book Rating : 4.4/5 (832 download)
Download or read book Modeling of Complex Systems written by V. Vemuri and published by Academic Press. This book was released on 2014-05-10 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of Complex Systems: An Introduction describes the framework of complex systems. This book discusses the language of system theory, taxonomy of system concepts, steps in model building, and establishing relations using physical laws. The statistical attributes of data, generation of random numbers fundamental problems of recognition, and input-output type models are also elaborated. This text likewise covers the optimization with equality constraints, transfer function models, and competition among species. This publication is written primarily for senior undergraduate students and beginning graduate students who are interested in an interdisciplinary or multidisciplinary approach to large-scale or complex problems of contemporary societal interest.
