Ming Li

Fractional Vibrations with Applications to Euler-Bernoulli Beams (eBook, PDF)

• Format: PDF

Produktbeschreibung

The book examines vibration phenomena with an emphasis on fractional vibrations using the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness, covering the theoretical analysis potentially applicable to structures and, in particular, ship hulls.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 558
• Erscheinungstermin: 29. Dezember 2023
• Englisch
• ISBN-13: 9781003801146
• Artikelnr.: 69536381

Autorenporträt

Ming Li is a professor at Ocean College, Zhejiang University, China, and an emeritus professor at East China Normal University. He has been a contributor for many years to the fields of mathematics, statistics, mechanics, and computer science. His publications with CRC Press also include Multi-Fractal Traffic and Anomaly Detection in Computer Communications and Fractal Teletraffic Modeling and Delay Bounds in Computer Communications.

Inhaltsangabe

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
Kármán Spectrum from a View of Fractal