Abstract
We study in this chapter the deformation of a thin plate. In our example, the plate is part of a condenser microphone, such as one may find inside a telephone (or a cellular phone). When the user speaks, the plate (which is in fact a metalized plastic diaphragm) moves in response to changes in the acoustic pressure induced by sound waves. Since the plate is also the side of an electric capacitor, its dynamic deformations infer variations of the electric potential, which is amplified to generate a measurable signal. For the sake of simplicity, we shall consider here a thin rectangular plate in the device displayed in Fig. 7.1.
Sketch of the pressure sensor (side view).
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Chapter References
P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, Amsterdam, 1978.
P. G. Ciarlet, Mathematical Elasticity, Volumes I, II, III, North Holland, Amsterdam, 2000.
J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, Wadsworth and Brooks/Cole, 1989.
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© 2007 Springer Science+Business Media, LLC
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(2007). Elasticity: Elastic Deformation of a Thin Plate. In: Danaila, I., Joly, P., Kaber, S.M., Postel, M. (eds) An Introduction to Scientific Computing. Springer, New York, NY. https://doi.org/10.1007/978-0-387-49159-2_7
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DOI: https://doi.org/10.1007/978-0-387-49159-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-30889-0
Online ISBN: 978-0-387-49159-2
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