Mathematical modeling of a low frequency cylindrical sound transducer

Keywords

Nonlinear fourth-order partial differential equation, Second-order nonlinear ordinary differential equation approximation, Numerical simulation of transducer vibration, Sound pressure level prediction, Experimental validation and design recommendations

Abstract

The objective of this thesis is to develop a mathematical model to predict the sound pressure level radiated by a low frequency cylindrical sound transducer. The equation derived to model the transducer was a fourth order, non-linear, partial differential equation. The equation was solved numerically and the resulting motion of the transducer was linked to the acoustic radiation. Further simplifying assumptions were. made and a resulting second order, non-linear, ordinary differential equation was found to yield approximately the same results as the more elaborate model. The results obtained were compared with available experimental data and analyzed. The final result of this work is a set of recommendations for further development of this transducer.

Notes

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Graduation Date

1990

Semester

Spring

Advisor

Nuckolls, Charles E.

Degree

Master of Science (M.S.)

College

College of Engineering

Department

Mechanical Engineering and Aerospace Sciences

Degree Program

Mechanical Engineering

Format

PDF

Pages

113 pages

Language

English

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0027741

Subjects

Dissertations; Academic -- Engineering; Engineering -- Dissertations; Academic; Electroacoustic transducers--Design and construction; Cylinders--Vibration--Mathematical models; Sound pressure--Mathematical models; Acoustical engineering--Mathematical models; Sound-waves--Mathematical models

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