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Principles of Analytical System Dynamics

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  • "This book presents a systematic exposition of the principles of analytical dynamics applied to the modeling of multidisciplinary engineering systems. The novel aspects of the book are its fresh and comprehensive development of Lagranges and Hamiltons equations for constrained systems and its use of differential-algebraic equations instead of the customary independent ordinary differential equations as the basic mathematical model. The energy methods and structured models presented in this book constitute a basic framework for the systematic treatment of physical systems."
  • "The text begins with an overview of system dynamics: classification of discrete physical elements, representation of multidisciplinary motion, constraints, and variational concepts. Then Lagrangian and Hamiltonian equations of motion are developed, using a differential-variational form of the first law of thermodynamics as a basis, and expressed as differential-algebraic equations. A subsequent chapter treats the dual, or complementary, forms of these equations. The book concludes with a chapter on modeling and simulation, that emphasizes the systematic manner in which equations of motion are formulated, gives an overview of numerical methods for differential-algebraic equations, and includes numerical examples."
  • "This book describes a novel approach to analytical mechanics that uses 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 analyzing systems; it is also eminently suited for constrained nonlinear models. 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. The systems considered include mechanical, thermal, electrical, and fluid elements; only discrete systems are considered. The reader is 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 practicing engineers and applied mathematicians. The text begins with an overview of system dynamics: classification and representation of motion, constraints on motion, virtual work and variational concepts. It then turns to the Lagrangian and Hamiltonian equations of motion, expressed as differential-algebraic equations. A subsequent chapter treats the dual, or complementary equations of motion, and the book concludes with a chapter on modeling and simulation, including methods of numerical solution."
  • "The systems considered comprise discrete mechanical, electrical, fluid, and thermal elements. The reader is expected to be familiar with the fundamentals of these engineering disciplines, but no detailed knowledge of analytical mechanics, system dynamics, or variational calculus is required, so that the treatment is accessible to advanced undergraduates. The interdisciplinary approach should be of interest not only to engineers and physicists in academe but to applied mathematicians and engineers in practice as well."

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  • "Principles of Analytical System Dynamics"
  • "Principles of analytical system dynamics"

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