1. Introduction to vibration analysis 2. Introduction to modal analysis 3. Modal analysis of distributed systems 4. Modal analysis - the effect of pre-stress 5. Modal analysis - properties of lower and higher modes 6. Modal analysis - mass participation, properties of modes 7. Modal analysis- mode separation 8. Modal analysis of axi-symmetric structures 9. Modal analysis - locating structurally weak spots 10. Modal analysis - a diagnostic tool 11. Time response and frequency response of discrete systems 12. Harmonic base excitation of distributed systems 13. Omega square harmonic force excitation 14. Time response analysis, resonance, beating 15. Vibration absorption 16. Random Vibration 17. Response Spectrum analysis 18. Nonlinear vibration 19. Vibration benchmarks 20. Glossary of terms 21. References List of exercises