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Wu Jong-Shyong. Analytical and Numerical Methods for Vibration Analyses

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Wiley, 2014, 672 pages, ISBN 111863215X.
Illustratestheories and associated mathematical expressions with numericalexamples using various methods, leading to exact solutions, moreaccurate results, and more computationally efficient techniques This book presents the derivations of the equations of motionfor all structure foundations using either the continuous model orthe discrete model. This mathematical display is a strong featureof the book as it helps to explain in full detail how calculationsare reached and interpreted. In addition to the simple uniform and straight beams, the bookintroduces solution techniques for the complicated nonuniform beams (including linear or non–linear taperedbeams), and curved beams. Most of the beams are analyzed by takingaccount of the effects of shear deformation and rotary inertia ofthe beams themselves as well as the eccentricities and mass momentsof inertia of the attachments. Demonstrates approaches which dramatically cut CPU times to afraction of conventional FEM Presents "mode shapes" in addition to natural frequencies,which are critical for designers Gives detailed derivations for continuous and discrete modelequations of motions Summarizes the analytical and numerical methods for the naturalfrequencies, mode shapes, and time histories of straight structures rods shafts Euler beams strings Timoshenko beams membranes/thin plates Conical rods and shafts Tapered beams Curved beams Has applications for students taking courses includingvibration mechanics, dynamics of structures, and finite elementanalyses of structures, the transfer matrix method, and Jacobimethod This book is ideal for graduate students in mechanical, civil,marine, aeronautical engineering courses as well as advancedundergraduates with a background in General Physics, Calculus, andMechanics of Material. The book is also a handy reference forresearchers and professional engineers.
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