波動力學

To understand elastic wave propagation in isotropic, anisotropic, and piezoelectric media as well as its properties and applications.

Elasticity or equivalent graduate courses in the area of Solid Mechanics

無備註

Course materials: e3 website

Homework: About 8 homework assignments, 2 to 3 problems in each. Term project: 1 term project and oral presentation. Examination: 1 midterms and 1 final exam. Grading: Midterm (30%)、Final Exam (30%)、Homework (20%)、Term project (20%)

• Simple wave problems and solutions

  1. Transvserse waves on a string 2. Longitudinal waves in an elastic rod 3. Flexural waves in a slender beam 4. Acoustic waves in a fluid 5. Wave equations, initial-boundary-value problems, and D'Alembert's solution 6. Uniqueness 7. Nonlinear acoustic waves

  講授：

  6

• Spectral analysis of wave motions

  1. Fourier transform 2. Fourier series, discrete Fourier transform 3. Fast Fourier transform, illustrations 4. Spectral analysis of wave equations 5. Propagation and reconstruction of waves 6. Directional filter design and applications

  講授：

  6

• Elastic wave in unbounded solids

  1. Plane wave propagation in anisotropic solids 2. Phase velocities 3. Group velocities 4. Energy transport and energy velocities 5. Plane wave propagation in piezoelectric media

  講授：

  6

• Two dimensional wave propagation

  1. Elastic waves in isotropic solids, Helmholtz decomposition 2. P, SV, and SH waves 3. Reflection and transmission of plane waves at an interface 4. Acoustic impedance matching in layers 5. Wave propagation in layered media, matrix formulations

  講授：

  6

• Guided waves

  1. Rayleigh surface waves in isotropic, anisotropic, piezoelectric media 2. Love waves in layered half space 3. Anti-plane waves in an elastic strip, waves in membranes 4. Lamb waves in isotropic, anisotropic, piezoelectric plates 5. Guided waves in plates and circular tubes 6. Numerical analysis of acoustic wave guides: Semi-analytical finite element (SAFE) method

  講授：

  9

• Determination of phase, group velocities of dispersive waves

  1. Phase spectral analysis 2. Two-dimensional fast Fourier transform method 3. Wavelet transformation method 4. Pseudo Wigner-Ville Distribution (PWVD) theory

  講授：

  3

• Elasodynamic problems induced by concentrated forces

  1. Green's functions 2. Anti-plane line source in a half space, Cagniard-de-Hoop technique 3. Lamb's problems: two dimensional solution 4. Betti's reciprocity, representation theorem 5. Boundary integral equation methods

  講授：

  6

• Term Projects

  Selected topics on recent advances of acoustic waves in solids

  其他：

  報告

1. Classnotes 2. Reference books:D. Royer and E. Dieulesaint, Elastic Waves in Solids I: Free and Guided Propagation, Springer, Berlin, 2000.

地點

Office: EE-462

時間

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聯絡方式

TEL:03-5712121 ext. 55151 Email:ccyin@mail.nctu.edu.tw