Learn · Fundamentals of Acoustics
Lecture 9 of 61Week 2 Waves propagation on strings and rods: 1-D wave equation
The one-D wave solution: physical insights.
Prof. Venkata R. Sonti · IISc Bangalore
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- Fundamentals of Acoustics, IISc Bangalore (at NPTEL)
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- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures
- The vibrating spring-mass-damper system
- Power calculations in a vibrating spring-mass-damper system
- Wave propagation on a string
- Examples of waves on strings: finite and semi-infinite cases.
- General solution to 1-D wave equation: physical insights.
- Wave solution: real notation vs complex notation.
- The vibrating string with a general mechanical impedance.
- The forced finite string with an end mass.
- The one-D wave solution: physical insights.
- Longitudinal wave propagation in a rod.
- Forced semi-infinite and finite rods.
- The derivation of the acoustic wave equation.
- The derivation of the acoustic wave equation contd.
- The derivation of the acoustic wave equation contd.
- The derivation of the acoustic wave equation contd.
- Sound propagation in piston driven semi-infinite and finite ducts.
- Acoustics inside a piston driven finite duct with a general end impedance.
- Time averaged power in a 1-D acoustic wave
- The Free Space Green Function in acoustics
- The Free Space Green Function contd.
- Various Green Functions and their uses
- Derivation of the interior Kirchhoff Helmholtz Integral Equation
- Derivation of the exterior Kirchhoff Helmholtz Integral Equation
- Acoustic wave equation in spherical coordinates.
- Legendre polynomials, spherical harmonics, orthogonality relations.
- Spherical harmonics, Legendre polynomials and their orthogonality relations contd.
- Interior Neumann Green function.
- Exterior Neumann and Dirichlet Green functions.
- Pulsating sphere using the exterior Neumann Green function
- Equivalence of Neumann Green function and separation of variables solution.
- Sound from a pulsating sphere using boundary matching technique.
- Sound from a pulsating sphere using boundary matching technique contd.
- Sound radiation from a spherical cap on a rigid sphere using the Neumann Green function.
- Scattering of a plane acoustic wave from a rigid sphere
- Example to show that the surface in the KHIE is notional (not actual)
- The Rayleigh Integral
- Sound field of an oscillating piston in a rigid baffle
- Sound field of an oscillating piston in a rigid baffle contd.
- Physics of the sound field of an oscillating piston in a rigid baffle.
- Physics of the sound field of an oscillating piston in a rigid baffle contd.
- Physics of the sound field of the oscillating piston (cap) on a rigid sphere.
- The Sommerfeld radiation condition
- Sound field inside a rigid walled box due to initial conditions.
- Sound field inside a rigid walled box due to a harmonic source
- Sound field inside a rigid walled hollow cylinder due to initial conditions
- Modeshape visualization inside a rigid walled cylinder
- Sound field inside a rigid walled hollow cylinder due to initial conditions contd.
- Green function inside a rigid walled cylinder.
- Measures of sound
- Measures of sound contd.
- Average mean square value of different frequency sinusoids
- Frequency analysis of sounds in terms of third octave bands
- Transient solution of the wave equation using Fourier series
- Total solution of the harmonically forced wave equation with initial conditions using Fourier series
- Total solution of the forced wave equation with initial conditions using Laplace transform and Fourier series
- Branched systems, Helmholtz resonator
- The radiation impedance and acoustic power
- Acoustic potential, combined systems, special techniques for solving the acoustic wave equation
- Why do we take the real value of the solution in acoustic wave problems
- Course summary part 1
- Course summary part 2.