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Author: Wolfgang Yourgrau Publisher: Courier Corporation ISBN: 0486151131 Category : Science Languages : en Pages : 222
Book Description
DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author: Wolfgang Yourgrau Publisher: Courier Corporation ISBN: 0486151131 Category : Science Languages : en Pages : 222
Book Description
DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author: Mikhail I. Rabinovich Publisher: MIT Press ISBN: 0262549905 Category : Medical Languages : en Pages : 371
Book Description
Experimental and theoretical approaches to global brain dynamics that draw on the latest research in the field. The consideration of time or dynamics is fundamental for all aspects of mental activity—perception, cognition, and emotion—because the main feature of brain activity is the continuous change of the underlying brain states even in a constant environment. The application of nonlinear dynamics to the study of brain activity began to flourish in the 1990s when combined with empirical observations from modern morphological and physiological observations. This book offers perspectives on brain dynamics that draw on the latest advances in research in the field. It includes contributions from both theoreticians and experimentalists, offering an eclectic treatment of fundamental issues. Topics addressed range from experimental and computational approaches to transient brain dynamics to the free-energy principle as a global brain theory. The book concludes with a short but rigorous guide to modern nonlinear dynamics and their application to neural dynamics.
Author: J.L. Lagrange Publisher: Springer Science & Business Media ISBN: 9401589038 Category : Science Languages : en Pages : 634
Book Description
The Mécanique analytique presents a comprehensive account of Lagrangian mechanics. In this work, Lagrange used the Principle of Virtual Work in conjunction with the Lagrangian Multiplier to solve all problems of statics. For the treatment of dynamics, a third concept had to be added to the first two - d'Alembert's Principle - in order to develop the Lagrangian equations of motion. Hence, Lagrange was able to unify the entire science of mechanics using only three concepts and algebraic operations.
Author: Karl Friedrich Siburg Publisher: Springer Science & Business Media ISBN: 9783540219446 Category : Computers Languages : en Pages : 148
Book Description
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Author: James H. Williams, Jr. Publisher: MIT Press ISBN: 0262039710 Category : Technology & Engineering Languages : en Pages : 885
Book Description
An introductory engineering textbook by an award-winning MIT professor that covers the history of dynamics and the dynamical analyses of mechanical, electrical, and electromechanical systems. This introductory textbook offers a distinctive blend of the modern and the historical, seeking to encourage an appreciation for the history of dynamics while also presenting a framework for future learning. The text presents engineering mechanics as a unified field, emphasizing dynamics but integrating topics from other disciplines, including design and the humanities. The book begins with a history of mechanics, suitable for an undergraduate overview. Subsequent chapters cover such topics as three-dimensional kinematics; the direct approach, also known as vectorial mechanics or the momentum approach; the indirect approach, also called lagrangian dynamics or variational dynamics; an expansion of the momentum and lagrangian formulations to extended bodies; lumped-parameter electrical and electromagnetic devices; and equations of motion for one-dimensional continuum models. The book is noteworthy in covering both lagrangian dynamics and vibration analysis. The principles covered are relatively few and easy to articulate; the examples are rich and broad. Summary tables, often in the form of flowcharts, appear throughout. End-of-chapter problems begin at an elementary level and become increasingly difficult. Appendixes provide theoretical and mathematical support for the main text.
Author: Dean C. Karnopp Publisher: John Wiley & Sons ISBN: 0470112662 Category : Technology & Engineering Languages : en Pages : 434
Book Description
A GROUNDBREAKING TEXT THAT BRIDGES TEH GAP BETWEEN THEORTERICAL DYANICS AND INDUSTRY APPLICATIONS. Designed to address the perceived failure of introductory dynamics courses to produce students capable of applying dynamic principles successfully, both in subsequent courses and in practice, Engineering Applications of Dynamics adopts a much-needed practical approach designed to make the subject not only more relevant, but more interesting as well. Written by a highly respected team of authors, the book is the first of its kind to tie dynamics theory directly to real-world situations. By touching on complex concepts only to the extent of illustrating their value in real-world applications, the authors provide students with a deeper understanding of dynamics in the engineering of mechanical systems. Topics of interest include: * The formulation of equations in forms suitable for computer simulation * Simulation examples of real engineering systems * Applications to vehicle dynamics * Lagrange's equations as an alternative formulation procedure * Vibrations of lumped and distributed systems * Three-dimensional motion of rigid bodies, with emphasis on gyroscopic effects * Transfer functions for linearized dynamic systems * Active control of dynamic systems A Solutions Manual with detailed solutions for al problems in this book is available at the Web site, www.wiley.com/college/karnopp.
Author: Richard A. Layton Publisher: Springer Science & Business Media ISBN: 1461205972 Category : Technology & Engineering Languages : en Pages : 163
Book Description
A novel approach to analytical mechanics, using differential-algebraic equations, which, unlike the usual approach via ordinary differential equations, provides a direct connection to numerical methods and avoids the cumbersome graphical methods that are often needed in analysing systems. Using energy as a unifying concept and systems theory as a unifying theme, the book addresses the foundations of such disciplines as mechatronics, concurrent engineering, and systems integration, considering only discrete systems. Readers are expected to be familiar with the fundamentals of engineering mechanics, but no detailed knowledge of analytical mechanics, system dynamics, or variational calculus is required. The treatment is thus accessible to advanced undergraduates, and the interdisciplinary approach should be of interest not only to academic engineers and physicists, but also to practising engineers and applied mathematicians.
Author: Jiri Blazek Publisher: Elsevier ISBN: 0080529674 Category : Science Languages : en Pages : 491
Book Description
Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today's CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.
Author: Wolfgang Yourgrau
Author: Wolfgang Yourgrau
Author: Greenwood Donald T
Author: Mikhail I. Rabinovich
Author: J.L. Lagrange
Author: Karl Friedrich Siburg
Author: James H. Williams, Jr.
Author: Dean C. Karnopp
Author: Richard A. Layton
Author: Jiri Blazek
Author: Donald T. Greenwood