3 Fourier transform and spectra

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Acknowledgment IX
4. Contents XI
5. 1 The basic theory of harmonic vibrations 1
6. 2 Vibrations driven by deterministic forces 29
7. 3 Fourier transform and spectra 43
8. 4 Responses driven by deterministically aperiodic forces 65
9. 5 Vibrations with multiple degrees-of-freedom 79
10. 6 Vibrations of distributed systems 111
11. 7 Six classes of fractional vibrations 145
12. 8 Fractional vibrators of class I 157
13. 9 Fractional vibrators of class II 183
14. 10 Fractional vibrators of class III 203
15. 11 Fractional vibrators of class IV 237
16. 12 Fractional vibrators of class V 263
17. 13 Fractional vibrators of class VI 277
18. 14 Mathematical explanation of Rayleigh damping assumption 301
19. 15 Mass 307
20. 16 Postscript 309
21. A Appendices 313
22. Index 315