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Eigenfrequencies of an Elliptic Membrane

B. A. Troesch and H. R. Troesch
Mathematics of Computation
Vol. 27, No. 124 (Oct., 1973), pp. 755-765
DOI: 10.2307/2005509
Stable URL: http://www.jstor.org/stable/2005509
Page Count: 11
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Eigenfrequencies of an Elliptic Membrane
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Abstract

The first few eigenfrequencies of a homogeneous elliptic membrane, which is fixed along its boundary, are given in a graph. It is explained in detail, how more accurate results can readily be obtained for special purposes. The known expansion of the eigenfrequencies for small and large eccentricities are summarized. As an application some nodal patterns for a membrane with a double eigenvalue are presented.

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