Consisting of five major topics, each has its own chapter and is aligned with five major objectives of the book
In the process, every example includes a section Exploring the Solution with MATLAB
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
The fourth topic introduces mathematical tools for general multiple degrees of freedom systems, with many examples suitable for hand calculation, and a few computer-aided examples that bridges the lumped-parameter models and continuous systems
The last topic introduces the finite element method as a jumping point for students to understand the theory and the use of commercial software for vibration analysis of real-world structures.
The second topic introduces mathematical tools for vibration analyses for single degree-of-freedom systems
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