ECE 473
Fundamentals of Engineering Acoustics
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Section  Type  Times  Days  Location  Instructor 

G4  DIS  1400  1450  M W F  3013 ECE Building  Michael Oelze 
U3  DIS  1400  1450  M W F  3013 ECE Building  Michael Oelze 
Web Page  http://courses.engr.illinois.edu/ece473/ 

Official Description  Development of the basic theoretical concepts of acoustical systems; mechanical vibration, plane and spherical wave phenomena in fluid media, lumped and distributed resonant systems, and absorption phenomena and hearing. Course Information: Same as TAM 413. 3 undergraduate hours. 3 or 4 graduate hours. Prerequisite: MATH 285 or MATH 286. 
Subject Area  Biomedical Imaging, Bioengineering, and Acoustics 
Course Prerequisites  Credit in MATH 285 or MATH 286 
Course Directors 
Michael L Oelze

Detailed Description and Outline 
This course is designed for seniors and beginning graduate students in the College of Engineering to deal with the engineering aspects of acoustics. Topics:
Same as: TAM 413 
Topical Prerequisities 

Texts 
Kinsler, Frey, Coppens, and Sanders, Fundamentals of Acoustics, 4th ed., John Wiley & Sons. 
ABET Category 
Engineering Science: 3 credits 
Course Goals 
This course is an elective for electrical engineering, computer engineering and theoretical and applied mechanics majors. The goals are to impart the fundamentals of engineering acoustics that constitute the foundation for preparing electrical engineering, computer engineering and theoretical and applied mechanics majors to take followon acoustics courses. 
Instructional Objectives 
By completion of the course, the students should be able to do the following: 1. Calculate the displacement and velocity of a secondorder mechanical system assuming simple harmonic motion with loss and with forced harmonic excitation. (a) 2. Derive the onedimensional wave equation for transverse waves on a string. (a) 3. Use the appropriate general solution of the onedimensional wave equation of the string and solve for the transverse wave function given boundary conditions. (a) 4. Calculate the input mechanical impedance and average input power to a string under forced harmonic excitation. (a) 5. Derive the onedimensional lossless wave equation for an acoustic wave in a fluid. (a) 6. Calculate the propagation speed in a fluid from the fluid's equation of state and from the fluid's adiabatic bulk modulus and equilibrium density. (a) 7. Derive and solve by separation of variables the threedimensional acoustic wave equation in a fluid. (a) 8. Calculate energy density and acoustic intensity for both a plane progressive wave and spherical progressive wave in a fluid from any of the firstorder propagation quanitities (particle displacement, particle velocity, particle acceleration, excess density, acoustic pressure, condensation, sound pressure level, temperature fluctuation). (a) 9. Derive the pressure reflection coefficient and pressure transmission coefficient using a locallyreacting boundary condition between two fluid media when the incident acoustic wave is normally incident on the boundary. (a) 10. Calculate the pressure reflection coefficient and pressure transmission coefficient between two fluid media when the incident acoustic wave is normally incident on the boundary. (a) 11. Calculate the locations of nodes and antinodes in a standing acoustic wave. (a) 12. Calculate the standing wave ratio (SWR) in a standing acoustic wave. (a) 13. Derive and apply Snell's Law using phase matching conditions. (a) 14. Calculate the pressure reflection coefficient and pressure transmission coefficient between two fluid media when the incident acoustic wave is both normally and obliquely incident on the boundary. (a) 15. Identify the condition for which a critical angle and an angle of intromission exist, and calculate these angles from the fluid properties. (a) 16. Calculate the pressure reflection coefficient and pressure transmission coefficient when an interposed layer of known thickness exists between two media when the incident acoustic wave is normally incident on the boundary. (a) 17. Derive the surface displacement boundary conditions for a radially oscillating sphere in a fluid and derive the propagated acoustic field from this source. (a) 18. Derive the far field acoustic pressure distribution for inphase continuous line source by applying the field sources from the monopole solution. (a) 19. Calculate the beam width and locations of the sidelobes and nulls from the inphase continuous line source. (a) 20. Derive the near field (Fresnel) and far field (Fraunhoffer) acoustic pressure distribution for the baffled circular piston source. (a, c) 21. Calculate the onaxis and offaxis acoustic pressure and sidelobes and nulls from the baffled circular piston source. (a) 22. Derive the far field acoustic pressure distribution for the linear array by applying the field sources from the monopole solution. (a, c) 23. Calculate the onaxis and offaxis acoustic pressure and sidelobes, nulls and grating lobes from the linear array source. (a) 24. Calculate the resonant frequency in a pipe which has either a rigid or open end, and calculate the total acoustic power radiated under the openpipe condition. (a) 25. Calculate the intensity reflection coefficient and intensity transmission coefficient in a pipe that has a side branch. This solution models many wind instruments. (a)
26. Derive the acoustic radiation impedance function of a Helmholtz resonator. (a) 