Fractional vibrations with applications to Euler-Bernoulli beams [electronic resource] / Ming Li.
"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. Covering the si...
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| Language: | English |
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Boca Raton :
CRC Press, Taylor & Francis Group,
2024.
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| Edition: | First edition. |
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| Online Access: | |
| Format: | Electronic eBook |
Contents:
- Harmonic vibrations
- Vibrations excited by periodic forces
- Fourier transform and spectra
- Responses excited by deterministically aperiodic forces
- Vibrations with multiple degrees-of-freedom
- Vibrations of distributed systems and Euler-Bernoulli beam
- Six classes of fractional vibrations
- Fractional vibrations of class I
- Fractional vibrations of class II
- Class III fractional vibrations
- Fractional vibrations of class IV
- Class V fractional vibrations
- Fractional vibrations of class
- Explanation of Rayleigh damping assumption based on fractional vibrations
- Mass
- Vibrators with variable-order fractional forces
- Free response to longitudinal vibrations of uniform circular beam with fractional coordinates
- Free response to Euler-Bernoulli beam with fractional coordinates
- Forced response to Euler-Bernoulli beam with fractional coordinates
- Seven classes of fractionally damped Euler-Bernoulli beams
- Forced response to damped Euler-Bernoulli beam with fractional inertia force (Class 1)
- Forced response to damped Euler-Bernoulli beam with fractional external damping force (Class 2)
- Forced response to damped Euler-Bernoulli beam with fractional internal damping force (Class 3)
- Forced response to damped Euler-Bernoulli beam with fractional external and internal damping forces (Class 4)
- Forced response to damped Euler-Bernoulli beam with fractional external and internal damping forces(Class 5)
- Forced response to Damped Euler-Bernoulli Beam with fractional external and internal damping forces (Class 6)
- Forced response to multi-fractional damped Euler-Bernoulli beam (Class 7)
- Notes on fractional vibrations
- Sampling, aliasing, anti-aliasing filtering and time signal leakage
- A method for requiring block size for spectrum measurement of ocean surface waves
- time-frequency distributions of encountered waves using Hilbert-Huang transform
- An optimal controller of an irregular wave maker
- On von Kármán spectrum from a view of fractal.