Advanced Mechanical Vibrations: Physics, Mathematics and Applications provides a concise and solid exposition of the fundamental concepts of linear vibrations that apply in many specialised disciplines across engineering and science. It covers key subject areas from the formulation of the equations of motion by means of analytical techniques, to the response of discrete and continuous systems subjected to deterministic and random excitation.
The text is ideal for intermediate to advanced students of engineering, physics and mathematics. In addition, professionals working in – or simply interested in – the field of mechanical and structural vibrations will find the content helpful since it approaches the subject in a way that emphasises the strict, inextricable, and sometimes subtle interrelations between physics and mathematics, as well as theory and applications. It includes a number of worked examples in each chapter, two detailed mathematical appendixes and an extensive list of references.
Table of Contents
1. A FEW PRELIMINARY FUNDAMENTALS
2. FORMULATING THE EQUATIONS OF MOTION
3.FINITE-DOFs SYSTEMS: FREE VIBRATION
4. FINITE DOFs SYSTEMS: RESPONSE TO EXTERNAL EXCITATION
5. VIBRATION OF CONTINUOUS SYSTEMS
6. RANDOM VIBRATIONS
Appendix A. ON MATRICES AND LINEAR SPACES
Appendix B. FOURIER SERIES, FOURIER AND LAPLACE TRANSFORMS
Paolo L. Gatti is an independent vibration consultant with a degree in nuclear physics and has thirty years of experience in engineering vibrations, non-destructive testing and statistical data analysis.