ECE 802: Acoustics

Fall 2003

 

Course Objective: The goal of this course is to explore the basic principles of sound  generation

and propagation based on fundamental principles of physics and mathematics.

 

Instructor:

Dr. Robert McGough

Phone: 432-3333

E-mail: mcgough@egr.msu.edu

Office Hours: MF 2-3pm or by appointment

Office Location: 1213 EB

Web site: www.egr.msu.edu/~mcgough

Lecture:

TuTh 5-6:15pm in 1225 EB

Final Exam:

see schedule

Text:

Text: Kinsler and Frey, ‘Fundamentals of Acoustics’, 4th edition

Grading Policy:

Homework – 15%

Computer Projects – 15%

Exam #1 – 20%
Exam #2 – 20%

Final Exam – 30%

 

Attendance is required

Grader:

N/A

 

Prerequisites:  Graduate standing in engineering (undergraduates admitted with the approval of the instructor).  Experience with Matlab or other software for numerical calculations and visualization.

 

Attendance is required

 

Homework:

Homework will be assigned each week and collected at the beginning of class the following week.

 

Textbook Errata: errata.pdf

 

 

Exam Schedule:

Exam No.

Date

Chapters Covered

1

October, 2nd week

1, 2, 5

2

Tuesday, November 11

6 and 7, plus 8 if we are lucky

Final

Wednesday
December 10
5:45-7:45 p.m.

Comprehensive

 

 

 

Course Outline:

1.      Simple Oscillator

2.      Vibrating String – The 1D wave equation

3.      The acoustic wave equation

  1. Equation of state
  2. Equation of continuity
  3. Euler’s equation
  4. Linearized wave equation
  5. Speed of sound in fluids
  6. Harmonic plane waves
  7. Energy density
  8. Acoustic intensity
  9. Specific acoustic impedance
  10. Spherical waves
  11. Decibel scales

4.      Transmission and reflection

  1. Transmission from one fluid to another - normal incidence
  2. Transmission through a fluid layer - normal incidence
  3. Transmission from one fluid to another - oblique incidence
  4. Transmission through a fluid layer - oblique incidence
  5. Reflection at a solid surface – normal incidence
  6. Reflection at a solid surface – oblique incidence

5.      Radiation and diffraction

  1. Pulsating sphere
  2. Acoustic reciprocity
  3. Simple sources
  4. Acoustic dipoles
  5. Acoustic line source
  6. Directivity and beam patterns
  7. Plane circular piston
  8. Near field and far field
  9. Acoustic radiation impedance
  10. Phased arrays

6.      Absorption and attenuation

  1. Complex sound speed
  2. Absorption in liquids
  3. Attenuation and scattering

7.      Cavities and waveguides

  1. Resonance in pipes
  2. Open-ended pipes
  3. Standing waves
  4. Absorption in pipes
  5. Pipes with drivers

8.      Resonators and filters

  1. Helmoltz resonator
  2. Acoustic impedance (radiation impedance and mechanical impedance)
  3. Waves in a pipe
  4. Acoustic filters

9.      Transduction

  1. Two port networks
  2. Mason’s model

10.  The human ear

  1. Anatomy of the ear
  2. Fundamental properties of hearing
  3. Masking
  4. Beats and combination tones
  5. Loudness
  6. Pitch and frequency

11.  Medical applications of ultrasound

  1. Diagnostic imaging
  2. Thermal therapy

 

Other material, including Green’s functions, the method of images, and dispersion will most likely be added to the items listed above.

 

 

 fix_axis.m

 

Useful Links:

 

Homework 1 (Due September 2, 2003): Solve 1.3.2, 1.3.3C, 1.5.1, 1.5.2, 1.5.4, 1.6.1, 1.6.4, and 1.7.6C in Kinsler and Frey.  If you don’t have the book, look here - a, b, c, d.

HW1 Soln.

 

Homework 2 (Due September 9, 2003): Solve 2.4.1, 2.5.1, 2.8.1, 2.9.4, 2.9.5, 2.10.1 in Kinsler and Frey.  Also, Problem 7.

HW2 Soln.

 

Homework 3 (Due September 16, 2003): Handed out in class.  To be graded as a computer assignment.

HW3 Soln.

 

Homework 4 (Due September 23, 2003): Solve 5.2.4, 5.6.1, 5.6.2, 5.7.1, 5.7.4, and 5.9.2 in Kinsler and Frey.

HW4 Soln.

 

Homework 5 (Due September 30, 2003): Solve 5.11.2, 5.11.3, 5.11.6C, 5.12.4, 5.12.5, and 5.12.8 in Kinsler and Frey.

HW5 Soln.

 

Homework 6 (Due October 7, 2003): HW6.pdf

HW6 Soln.

 

Homework 7 (Due October 23, 2003): Solve 6.3.2, 6.4.2, 6.4.3, 6.4.4, 6.4.6, and 6.6.1 in Kinsler and Frey.

HW7 Soln.

 

 

Lecture notes for October 16, 2003: acoustics16oct2003.ppt, intensitytransmissionconcretewavepattern.m

 

 

Mid Term 1 Soln.

 

 

Links to Green’s functions:  http://www.maths.soton.ac.uk/staff/Andersson/MA361/node46.html, http://www.boulder.nist.gov/div853/greenfn/tutorial.html, http://www.bath.ac.uk/~ensmjc/Notes/MECH0050/html/node12.html

 

 

Homework 8 (Due October 30, 2003): Solve 7.1.1, 7.1.3, 7.1.4, and 7.3.1 in Kinsler and Frey.

HW8 Soln.

 

 

acoustics28oct2003.ppt, images.m, linesource.m

 

 

Homework 9 (Due November 6, 2003): Solve 7.3.2, 7.4.2, 7.4.3, 7.4.4, 7.6.2, and 7.6.4 in Kinsler and Frey.

HW9 Soln.

 

acoustics4nov2003.ppt

 

acoustics13nov2003.ppt (presently 97 slides), shell13nov2003.ppt (only 17 slides)

 

e2revised.pdf

 

acoustics13nov2003first23slides.ppt (23 slides actually covered)

 

acoustics18nov2003.ppt (77 slides, most of which are repeats from 13 nov – large set)

 

references explaining some common numerical approaches to nearfield pressure calculations

 

Homework 10 (Due November 25, 2003):  HW10.pdf – updated November 23, 2003

HW10 Soln.

 

Mid term 2 soln.

 

acoustics20nov2003.ppt (51 slides, many of which are repeated from 13 nov), also see shell13nov2003.ppt (above)

 

acoustics25nov2003.ppt

 

Homework 11 (Due December 4, 2003):  Solve 7.8.2, 7.8.5, 9.2.1, 9.2.5, 10.2.1, and 10.3.2 in Kinsler and Frey.

HW11 Soln., problem 3

 

notes on the impulse response

 

additional material on the resonant cavity (Dec 2, 2003)

 

link to demonstration material for Dec 4, 2003

 

Lecture notes for Dec 4, 2003 Research material presented on Dec 4, 2003