Basics

Sound, sources, fields

Sound waves

soundfield generated by a periodic sound source Exemple of soundfield generated by a périodic point source

soundfield generated by a periodic sound source The information on the source is carried out by the acoustic wave from the source to the listener

Sound sources

Vibroacoustic sources

Air vibration can be forced by vibrations of plates, membranes, shells, etc.

These sources can be caracterized as vibroacoustic sources

Examples of vibroacoustic sources Examples of vibroacoustic sources

Aeroacoustic sources

Jets and valves sources can generate air vibrations.

Most wind instruments are baased on the modulation of a jet (flutes, recorders), of the modulation of a static prressure by a vibrating reed (clarinet, saxophone, oboe, accordion, … etc) or by lips vibrations (brass instruments).

The voice is also an aeroacoustic source: the vocal folds modulate the flow.

Examples of aeroacoustic sources Examples of aeroacoustic sources

Free oscillations / Self-sustained oscillations

Musical instruments can be categorized in two main categories

Free oscillators:

Many instruments can be described as free oscillating systems that are excited by an initial excitation. After the Attack, they vibrate at frequencies that correspond to the eigen-frequencies of the main resonator (string, membrane, bar, shell, …). Then the oscillations decay due to the damping of the eigen-modes.

Free oscillators Examples of free oscillators

Self-sustained oscillators:

Most musical instruments that generate continous periodic sounds can be described as self-seustained oscillators. These dynamical system caan be described as nonlinear feed-back looped systems that convert a static source of energy (blowing pressuree, continuous jet, bow velocity, …) to a sustained oscillation.

Wind instruments (flute and recorder, reed instruments, brass instruments, accordion, etc), and bowed string instruments (violin, cello, etc) can be modeled by a feed-back loop nonlinear system.

Self-sustained oscillators Examples of Self-sustained oscillators


Transmission of sound

Sound is a mechanical waves: There is no sound in vacuum !

Sound needs a medium !

Soundwaves are longitunal waves.

Videos :

Pressure, density, velocity

soundfield generated by a periodic sound source Exemple of soundfield generated by a périodic point source

An acoustic wave is often characterized as a propagating or a standing wave of pressure fluctuation p(x,y,z,t).

The acoustic pressure can be measured quiet easily with microphones

Other quantities are used to characterize sound or acoustic waves, mainly the velocity v(x,y,z,t) of vibrating particles or air, and the density variations \rho(x,y,z,t), but these two latter quantities are more difficultly measured than pressure.


Representation of soundwaves

Photographs of soundwaves

Pressure variations p(x,y,z,t) and local air density \rho(x,y,z,t) are related, hence waves with shocks, i.e. with high pressure level and steep pressure rise \frac{\mathrm{d} p}{\mathrm{d} t} can be visualized by using optical techniques like Schlieren strioscopy.

This technique is well known for strong shock and thermal field visualization.

It has been used more than 100 years ago to observe shockwaves [Arthur L. Foley and Wilmer H. Souder,“A New Method of Photographing Sound Waves,” Physical Review, 35, no. 5, 1912]

It has been used in architectural acoustics since 1912 to observe early reflections of sound in 2D models of halls (Fischer, 2017)

It is used at the LMFA to study the propagation and the reflection acoustic waves with shocks (Desjouy 2016)[http://acoustique.ec-lyon.fr/publi/desjouy_pof16.pdf]


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