Boek
This book describes a novel approach to analytical mechanics that usesdifferentialalgebraic equations which unlike the usual approach via ordinarydifferential equations provides a direct connection to numerical methods andavoids the cumbersome graphical methods that are often needed in analyzingsystems it is also eminently suited for constrained nonlinear models. Usingenergy as a unifying concept and systems theory as a unifying theme the bookaddresses the foundations of such disciplines as mechatronics concurrentengineering and systems integration. The systems considered includemechanical thermal electrical and fluid elements only discrete systems areconsidered. The reader is expected to be familiar with the fundamentals ofengineering mechanics but no detailed knowledge of analytical mechanicssystem dynamics or variational calculus is required. The treatment is thusaccessible to advanced undergraduates and the interdisciplinary approachshould be of interest not only to academic engineers and physicists but alsoto practicing engineers and applied mathematicians. The text begins with anoverview of system dynamics classification and representation of motionconstraints on motion virtual work and variational concepts. It then turns tothe Lagrangian and Hamiltonian equations of motion expressed as differentialalgebraic equations. A subsequent chapter treats the dual or complementaryequations of motion and the book concludes with a chapter on modeling andsimulation including methods of numerical solution. «
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