NOC:Fundamentals of Acoustics (2024)

Lecture 1 - The vibrating spring-mass-damper system

Lecture 2 - Power calculations in a vibrating spring-mass-damper system

Lecture 3 - Wave propagation on a string

Lecture 4 - Examples of waves on strings: finite and semi-infinite cases

Lecture 5 - General solution to 1-D wave equation: physical insights

Lecture 6 - Wave solution: real notation vs complex notation

Lecture 7 - The vibrating string with a general mechanical impedance

Lecture 8 - The forced finite string with an end mass

Lecture 9 - The one-D wave solution: physical insights

Lecture 10 - Longitudinal wave propagation in a rod

Lecture 11 - Forced semi-infinite and finite rods

Lecture 12 - The derivation of the acoustic wave equation

Lecture 13 - The derivation of the acoustic wave equation (Continued...)

Lecture 14 - The derivation of the acoustic wave equation (Continued...)

Lecture 15 - The derivation of the acoustic wave equation (Continued...)

Lecture 16 - Sound propagation in piston driven semi-infinite and finite ducts

Lecture 17 - Acoustics inside a piston driven finite duct with a general end impedance

Lecture 18 - Time averaged power in a 1-D acoustic wave

Lecture 19 - The Free Space Green Function in acoustics

Lecture 20 - The Free Space Green Function (Continued...)

Lecture 21 - Various Green Functions and their uses

Lecture 22 - Derivation of the interior Kirchhoff Helmholtz Integral Equation

Lecture 23 - Derivation of the exterior Kirchhoff Helmholtz Integral Equation

Lecture 24 - Acoustic wave equation in spherical coordinates

Lecture 25 - Legendre polynomials, spherical harmonics, orthogonality relations

Lecture 26 - Spherical harmonics, Legendre polynomials and their orthogonality relations (Continued...)

Lecture 27 - Interior Neumann Green function

Lecture 28 - Exterior Neumann and Dirichlet Green functions

Lecture 29 - Pulsating sphere using the exterior Neumann Green function

Lecture 30 - Equivalence of Neumann Green function and separation of variables solution

Lecture 31 - Sound from a pulsating sphere using boundary matching technique

Lecture 32 - Sound from a pulsating sphere using boundary matching technique (Continued...)

Lecture 33 - Sound radiation from a spherical cap on a rigid sphere using the Neumann Green function

Lecture 34 - Scattering of a plane acoustic wave from a rigid sphere

Lecture 35 - Example to show that the surface in the KHIE is notional (not actual)

Lecture 36 - The Rayleigh Integral

Lecture 37 - Sound field of an oscillating piston in a rigid baffle

Lecture 38 - Sound field of an oscillating piston in a rigid baffle (Continued...)

Lecture 39 - Physics of the sound field of an oscillating piston in a rigid baffle

Lecture 40 - Physics of the sound field of an oscillating piston in a rigid baffle (Continued...)

Lecture 41 - Physics of the sound field of the oscillating piston (cap) on a rigid sphere

Lecture 42 - The Sommerfeld radiation condition

Lecture 43 - Sound field inside a rigid walled box due to initial conditions

Lecture 44 - Sound field inside a rigid walled box due to a harmonic source

Lecture 45 - Sound field inside a rigid walled hollow cylinder due to initial conditions

Lecture 46 - Modeshape visualization inside a rigid walled cylinder

Lecture 47 - Sound field inside a rigid walled hollow cylinder due to initial conditions (Continued...)

Lecture 48 - Green function inside a rigid walled cylinder

Lecture 49 - Measures of sound

Lecture 50 - Measures of sound (Continued...)

Lecture 51 - Average mean square value of different frequency sinusoids

Lecture 52 - Frequency analysis of sounds in terms of third octave bands

Lecture 53 - Transient solution of the wave equation using Fourier series

Lecture 54 - Total soln of harmonically forced wave equation with initial conditions using Fourier series

Lecture 55 - Total soln of forced wave eqn with initial conditns using Laplace transform and Fourierseries

Lecture 56 - Branched systems, Helmholtz resonator

Lecture 57 - The radiation impedance and acoustic power

Lecture 58 - Acoustic potential, combined systems, special techniques for solving acoustic wave equation

Lecture 59 - Why do we take the real value of the solution in acoustic wave problems

Lecture 60 - Course summary - Part 1

Lecture 61 - Course summary - Part 2