TAILIEUCHUNG - Vibrations of Elastic Systems

Vibrations occur all around us: in the human body, in mechanical systems and sensors, in buildings and structures, and in vehicles used in the air, on the ground, and in the water. In some cases, these vibrations are undesirable and attempts are made to avoid them or to minimize them; in other cases, vibrations are controlled and put to beneficial uses. Until recently, many of the application areas of vibrations have been largely concerned with objects having one or more of its dimensions being tens of centimeters and larger, a size that we shall denote as the macro scale. During the last decade or so, there has. | Solid Mechanics and its Applications Edward B. Mag ra b Vibrations of Elastic Systems With Applications to MEMS and NEMS Springer Vibrations of Elastic Systems SOLID MECHANICS AND ITS APPLICATIONS Volume 184 Series Editor . GLADWELL Department of Civil Engineering University of Waterloo Waterloo Ontario Canada N2L 3GI Aims and Scope of the Series The fundamental questions arising in mechanics are Why How and How much The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics variational formulations computational mechanics statics kinematics and dynamics of rigid and elastic bodies vibrations of solids and structures dynamical systems and chaos the theories of elasticity plasticity and viscoelasticity composite materials rods beams shells and membranes structural control and stability soils rocks and geomechanics fracture tribology experimental mechanics biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field others are accessible to final year undergraduates but essentially the emphasis is on readability and clarity. For further volumes http series .

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• SomePreliminaries
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• Timoshenko Beams