The Transfer Function of a Circular Membrane Using Laser Vibrometry
Poster Number
15B
Format
Poster Presentation
Faculty Mentor Name
Aleksei Beltukov
Faculty Mentor Department
Mathematics
Additional Faculty Mentor Name
Marcos Gridi-Papp PhD
Additional Faculty Mentor Department
Biological Sciences
Abstract/Artist Statement
The transfer function for a membrane is the key to interpreting its motion induced by sound pressure. An analytical model of the transfer function and an understanding of resonance will be used to reconstruct the sound from measurements of vibrations. The ultimate goal for this project is to play a song, measure the resulting vibrations on a circular membrane, and to reconstruct the song from those measurements. Data has been collected using laser vibrometry which utilizes interferometry to detect changes of motion. A laser is focused on a small point of the membrane; the light reflected back from that point undergoes Doppler shifting that is indirectly measured to calculate motion. We have been able to extract an experimental transfer function on a circular membrane using a digitally produced sweep signal. Currently, I have analytical model for the transfer function of a mass-spring systems with a driving force. The model for a train of multiple masses is the analogue for moving to the system of the membrane. Other considerations for the analytical model will include, but are not limited to, the wave equation, tension, uniformity of the membrane and sound pressure, amplitude of sound, size of membrane, and effects of discretization.
Location
DeRosa University Center, Ballroom
Start Date
28-4-2018 1:00 PM
End Date
28-4-2018 3:00 PM
The Transfer Function of a Circular Membrane Using Laser Vibrometry
DeRosa University Center, Ballroom
The transfer function for a membrane is the key to interpreting its motion induced by sound pressure. An analytical model of the transfer function and an understanding of resonance will be used to reconstruct the sound from measurements of vibrations. The ultimate goal for this project is to play a song, measure the resulting vibrations on a circular membrane, and to reconstruct the song from those measurements. Data has been collected using laser vibrometry which utilizes interferometry to detect changes of motion. A laser is focused on a small point of the membrane; the light reflected back from that point undergoes Doppler shifting that is indirectly measured to calculate motion. We have been able to extract an experimental transfer function on a circular membrane using a digitally produced sweep signal. Currently, I have analytical model for the transfer function of a mass-spring systems with a driving force. The model for a train of multiple masses is the analogue for moving to the system of the membrane. Other considerations for the analytical model will include, but are not limited to, the wave equation, tension, uniformity of the membrane and sound pressure, amplitude of sound, size of membrane, and effects of discretization.