The third topic introduces the lumped-parameter modeling to convert simple engineering structures into models of equivalent masses and springs. This is intended to develop student's affinity to symbolic calculations, and to encourage curiosity-driven explorations. In the process, every example includes a section Exploring the Solution with MATLAB. The second topic introduces mathematical tools for vibration analyses for single degree-of-freedom systems. It starts from a concise, rigorous and yet accessible introduction to Lagrangian dynamics as a tool for obtaining the governing equation(s) for a system, the starting point of vibration analysis. Consisting of five major topics, each has its own chapter and is aligned with five major objectives of the book. This introductory book covers the most fundamental aspects of linear vibration analysis for mechanical engineering students and engineers.
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