This week's schedule
L | W | D | Date | Lecture and Assignment |
Part I: Oscillations and Wave Equation | ||||
1 | 35 | M | 8/27 | Introduction pdf Lecture: Ch-1a: Fundamentals of Vibration: Harmonic oscillator pdf Read: Kinsler et al., Ch. 1 |
2 | W | 8/29 | Lecture: Ch-1b: Damped Harmonic Oscillator | |
3 | F | 8/31 | Lecture: Ch-1c: Inverse Laplace transform solution to the harmonic oscillator HW1 due (2 weeks) Homework: HW2 | |
- | 36 | M | 9/3 | Labor Day Holiday -- No class |
4 | W | 9/5 | Lecture: Ch-2a: The Vibrating String d'Alembert's solution to the wave equation pdf, wave equation solutions Read: Kinsler et al., Ch. 2 | |
5 | F | 9/7 | Lecture: Ch-2b: Properties of the wave equation: speed of sound, wave number, input impedance, etc. Example problems: Standing waves, boundary conditions pptx | |
6 | 37 | M | 9/10 | Lecture: Ch-2c: General considerations: Various coordinate systems pdf |
7 | W | 9/12 | Lecture: Ch-2d: Derivation of the Webster Horn equation: From the beginning | |
8 | F | 9/14 | Lecture: Ch-5.1.1: The Acoustic Wave Equation and Simple Solutions: acoustic parameters, the equation of state. Example problem: Condensation in water and air. Read: Kinsler et al., Ch. 5 pdf HW2 due Homework: HW3 | |
9 | 38 | M | 9/17 | Lecture: Ch-5.1.2: The equation of continuity, the Euler's equation, linearized wave equation. |
10 | W | 9/19 | Lecture: Ch-5.1.3: The velocity potential, speed of sound (SOS). Example problems: Sound pressure level (SPL), SOS in gases for isothermal and adiabatic processes. | |
11 | F | 9/21 | Lecture: Ch-5.2.1: The Harmonic Plane Waves: the Helmholtz equation pdf Boundary conditions: Number of half or quarter wavelengths HW3 due Homework: HW4 | |
12 | 39 | M | 9/24 | Lecture: Ch-5.2.2: The 3D wave equation, the wave number. Energy Density: Kinetic and Potential Acoustic Energy. |
13 | W | 9/26 | Lecture: Ch-5.2.3: The acoustic intensity: Instantaneous and average intensity, I_{SPTA}, etc. Example problem: estimating acoustic parameters in water. | |
14 | F | 9/28 | Lecture: Ch-5.3.1: The acoustic impedance: characteristic and specific. Spherical waves: specific acoustic impedance pdf HW4 due Homework: HW5 | |
15 | 40 | M | 10/1 | Lecture: Ch-5.3.2: Sound pressure level (SPL), Intensity level (IL), Acoustic Power: decibel scale, references in water and air. Example problems: Familiarizing with decibel scales for SPL and IL. Acoustic parameters in water and air for plane waves. |
16 | W | 10/3 | No office hours; Lecture: Discuss Exam;Exam I: 7-9:30 PM; 3013 ECEB]] | |
- | F | 10/5 | Lecture: cancelled due to exam; | |
Part II: Nonlinear Acoustics and Acoustic Propagation | ||||
17 | 41 | M | 10/8 | Lecture:Ch-6.1.1: Reflection and Transmission: Normal incidence, boundary conditions (BCs) pdf Example problem: Energy conservation. Read: Kinsler et al., Ch. 6 |
18 | W | 10/10 | Lecture: Ch-6.1.2: Standing wave ratio (SWR). Example problems: Rigid and pressure release boundaries, reflection at interfaces within human body. | |
19 | F | 10/12 | Lecture: Ch-5.4: Nonlinear Acoustics: parameter of nonlinearity (B/A), nonlinear wave equation, N-wave formation,
shock wave formation, shock distance, Goldberg number. Example problem: estimating shock distance in water. | |
20 | 42 | M | 10/15 | Lecture: Ch-6.2.1: Transmission through a layer: BCs, acoustic windows, matching layers pdf Example problem: Effect of walls pptx |
21 | W | 10/17 | Lecture:Ch-6.2.2: Oblique incidence: BCs, Snell's law pptx Example problem: critical angle, intromission angle. | |
22 | F | 10/19 | Lecture: Ch-6.3.1: Reflection at a solid: Longitudinal and shear wave speeds pdf Example problem: critical angles for propagation into solids. HW6 due Homework: HW7 | |
23 | 43 | M | 10/22 | Lecture: Ch-6.3.2: Thermoclines: Sound speed gradients. Example: Ocean thermoclines pptx Read: Kinsler et al., Ch. 15.4, Image model of room pdf |
24 | W | 10/24 | Lecture: Ch-7.1.1: Radiation and Reception of Acoustic Waves: Simple sources, superposition principle pdf Read: Kinsler et al., Ch. 7 Example problem: Intensity, power, strength of a small sources. | |
25 | F | 10/26 | Lecture: Ch-7.1.2: The continuous line source: the far field approximation, the sinc function, the spatial Fourier transform. Example problem: Beam pattern in a continuous line source pptx Typed Paper on Sound outline due HW7 due Homework: HW8 | |
26 | 44 | M | 10/29 | Lecture: Ch-7.2.1: Radiation from a plane circular piston: The near field approximations, Rayleigh distance pdf Example: Near field axial pressure pptx |
27 | W | 10/31 | Lecture: Ch-7.2.2: The far field approximations, the jinc function. | |
28 | F | 11/2 | Lecture: Ch-7.3.1: Beam patterns line source vs plane circular piston: Physical beam width. Radiation impedance pdf. Example problem: Radiation impedance in air and water for a circular piston. HW8 due Homework: HW9 | |
29 | 45 | M | 11/5 | Lecture: Ch-7.3.2: Fundamental properties of transducers: Directional factor and beam pattern, directivity index (DI), etc. Example problem: Directivity for a circular piston. |
Part III: Linear Arrays, Acoustic Waveguides and Resonators | ||||
30 | W | 11/7 | Lecture: Ch-7.4.1: The line array: the comb function, the far field approximation pdf. Example problem: Radiation impedance in air and water for a circular piston. | |
31 | F | 11/9 | Lecture: Ch-7.4.2: The grating lobes in a line array: Steering an array Supplemental lecture 1): Fourier transforms as scalar products. | |
32 | 46 | M | 11/12 | Lecture: Ch-9.1: Cavities and Waveguides: The rectangular cavity pdf Eigenmodes of waveguides and cavities. Supplemental lecture 2): Distinction between Fourier and Laplace Transforms. Read: Kinsler et al., Ch. 9.1 - 9.2, 9.5; Lecture notes(pdf) Lec 11b (p. 91), 12a (p. 103) |
33 | W | 11/14 | Lecture: Ch-9.2: Waveguide of constant cross section, phase speed, group speed. Review for Exam HW9 due Homework: HW10 (pdf); Practice Exam II (pdf) Exam II: 7-9:30 PM; 2015 ECEB]] Several copies of the book will be provided at the exam. | |
- | F | 11/16 | No office hours; No class due to Exam II | |
- | 47 | - | - | Thanksgiving Holiday (11/17-11/25) |
34 | 48 | M | 11/26 | Lecture: Ch-10.1.1: Pipes, Resonators, and Filters: Motivation, resonance of pipes, closed pipes pdf Read: Kinsler et al., Ch. 10 |
35 | W | 11/28 | Lecture: Ch-10.1.2: Open-ended pipes, effective length of pipe, quality factor of a resonator. Example problems: Flanged and unflanged open-ended pipes. | |
36 | F | 11/30 | Lecture: Ch-10.1.3: Standing wave patterns, absorption of sound in pipes. Example problem: Standing wave ratio. HW10 due Homework: HW11 | |
37 | 49 | M | 12/3 | Lecture: Ch-10.2.1: Combined driver-pipe system, Helmholtz resonator: resonance frequency in resonators pdf |
38 | W | 12/5 | Lecture: Ch-10.2.2: Acoustic impedance: resistance, inertance, compliance. Example problems: Quality factor and resonance frequency in Helmholtz resonators. | |
39 | F | 12/7 | Lecture: Ch-10.3: Reflection and transmission in pipes, Acoustic filters: types of filters pdf, | |
40 | 50 | M | 12/10 | Lecture:Horns: Chapter 14a, Webster Horn equation: pdf |
41 | W | 12/12 | Lecture: Ch-14: Hearing: How the cochlea works: pdf Ch-8: Absorption and Attenuation of Sound: complex wave number, acoustic scattering pdf Read: Kinsler et al., Ch. 8.1 - 8.5 Typed Paper on Sound Final paper due HW11 due | |
- | R | 12/13 | Reading Day | |
- | 51 | M | 12/14-19 | [Final exams] |
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