Fractional Vibrations with Applications to Euler-Bernoulli Beams (Paperback, 1)

Part I: Fundamentals??1. Harmonic Vibrations?? 2. Vibrations Excited by Periodic Forces??3. Fourier Transform and Spectra??4. Responses Excited by Deterministically Aperiodic Forces? 5. Vibrations with Multiple Degrees-of-Freedom??6. Vibrations of Distributed Systems and Euler-Bernoulli Beam??Part II: Fractional Vibrations??7. Six Classes of Fractional Vibrations???8. Fractional Vibrations of Class I? 9. Fractional Vibrations of Class II??10. Class III Fractional Vibrations? 11. Fractional Vibrations of Class IV? 12. Class V Fractional Vibrations? 13. Fractional Vibrations of Class VI? 14. Explanation of Rayleigh Damping Assumption based on Fractional Vibrations? 15. Mass? 16. Vibrators with Variable-Order Fractional Forces??Part III: Fractional Euler-Bernoulli Beams??17. Free Response to Longitudinal Vibrations of Uniform Circular Beam with Fractional Coordinates? 18. Free Response to Euler-Bernoulli Beam with Fractional Coordinates? 19. Forced Response to Euler-Bernoulli Beam with Fractional Coordinates? 20. Seven Classes of Fractionally Damped Euler-Bernoulli Beams? 21. Forced Response to Damped Euler-Bernoulli Beam with Fractional Inertia Force (Class 1)? 22. Forced Response to Damped Euler-Bernoulli Beam with Fractional External Damping Force (Class 2)? 23. Forced Response to Damped Euler-Bernoulli Beam with Fractional Internal Damping Force (Class 3)? 24. Forced Response to Damped Euler-Bernoulli Beam with Fractional External and Internal Damping Forces (Class 4)? 25. Forced Response to Damped Euler-Bernoulli Beam with Fractional Inertia and External Damping Forces (Class 5)? 26. Forced Response to Damped Euler-Bernoulli Beam with fractional Inertia and Internal Damping Forces (Class 6)? 27. Forced Response to Multi-Fractional Damped Euler-Bernoulli Beam (Class 7)? 28. Notes on Fractional Vibrations??Part IV: Some Techniques in Vibrations??29. Sampling, Aliasing, Anti-Aliasing Filtering and Time Signal Leakage? 30. A Method for Requiring Block Size for Spectrum Measurement of Ocean Surface Waves? 31. Time-Frequency Distributions of Encountered Waves using Hilbert-Huang Transform? 32. An Optimal Controller of an Irregular Wave Maker? 33. On von Karman Spectrum from a View of Fractal