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Pipes, tapered pipes and Helmholtz resonators [message #15114]

Thu, 22 September 2005 12:54

Wayne Parham
Messages: 18790
Registered: January 2001

Illuminati (33rd Degree)

We've had some discussions here about bass-reflex, tuned pipes, tapered pipes and horns, specifically about their similarities and differences. So I've taken a moment to put together a list of references from authors other than those that normally contribute here.

Acoustics and Vibration Animations, list of articles and demonstration by Dr. Daniel Russell
Acoustic High-Pass, Low-Pass, and Band-Stop Filters, Daniel Russell discusses propogation of sound through ducts, transmission lines and acoustic filter chambers
Superposition of Waves, shows the interaction of standing waves
Radiation from a Baffled Piston, shows the effects of frequency on directivity
Evanescent Modes in Waveguides, shows higher order modes in ducts driven above and below their cutoff frequency
Mass-Spring Systems with Damping, shows how system damping affects resonance amplitude, which in turn affects response
The Forced Harmonic Oscillator, shows systems driven below resonance, at resonance and above resonance
Coupled Oscillators, shows two mass-spring systems, like the mechanical resonance of a loudspeaker and the acoustic resonance of the cabinet
The Dynamic Vibration Absorber, shows how two tunes systems can be optimized for working together. Think speaker and box.
Vibrational Modes of a Circular Membrane, shows cone flex breakup modes
HyperPhysics - Resonance, several links on the subject
HyperPhysics - Air Column Resonance, online calculator of open pipe, closed pipe and tapered pipe resonant modes
HyperPhysics - Cavity Resonant Frequency, online calculator of Helmholtz resonant frequency
Resonance, standing waves, & Eigentones, discussion of resonance and Q
Air Column Acoustics, a description of wave propogation in pipes and conical sections
Musical Acoustics - Some Introductory Pages, several links about matters acoustic from the University of New South Wales
Pipes and Harmonics, University of New South Wales, compares closed cylinder pipes, open cylinder pipes and closed conical pipes
Helmholtz Resonance, University of New South Wales, describes Helmholtz resonance
Sound Waves and Music, several online lessons from the Physics Classrom
Resonance and Standing Waves, Physics Classroom
Standing Waves and Resonance, describes standing waves in mechanical, electrical and acoustic transmission lines
Resonata, a groovy applet