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Advanced Vibrations: A Modern Approach

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This book is for designers, partition engineers, and student of engineering. It introduces the fundamental knowledge used in mechanical vibrations. This knowledge can be utilized to develop computer programs for analyzing, designing, and optimization of vibration problems in industrial systems.

Vibrations have been in the engineering curriculum for around a hundred years. Many good books on the subject are available. The 1896 Lord Rayleigh’s “Theory of Sound” is the first modern book on the subject of sound, wave propagation, and vibrations. However, the first books on vibrations with a mechanical engineering viewpoint appeared as “Vibration Problems in Engineering” (1928) by the father of modern engineering mechanics, Stephen P. Timoshenko, and then as “Mechanical Vibrations” (1934) by J.P. Den Hartog. Although Timoshenko was the architect of modern structure of engineering education and his various books were used for a long time in educating mechanical and civil engineers, it was Den Hartog’s Mechanical Vibrations that globally was accepted as a classical educational book. Almost all mechanical vibration books that appeared after 1940 follow the structure of Den Hartog’s, starting with time response and ending with frequency response. Sometimes a glance at random vibrations, nonlinear vibrations, continuous systems, vibrations control, or modal analysis may also be seen in various books. On the contrary, the present book begins with frequency response and continues by time response and ends with optimization and application, focusing only on discrete mechanical systems. Starting with frequency and steady-state response of vibrating systems is more practical and more fundamental than time and transient response.
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