This basic textbook presents the field of mechanical vibration and structural dynamics in an understandable and interdisciplinary way for students, engineers and researchers in mechanical engineering. "Mechanical Vibrations and Structural Dynamics" combines the classical analytical approach together with modern numerical and computer aided experimental methods. On one hand, it gives a clear and concise interdisciplinary introduction into the theory of mechanical vibrations and structural dynamics. And on the other hand, it shows how to convert these introductory examples into a computer program and how to establish a complex software system - explaining computational engineering and experimental methods. Theory is not overemphasized, however, enough knowledge is displayed to be able to solve application problems with intelligence.