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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2005509
Page Count: 11
You can always find the topics here!Topics: Eigenvalues, Numerical eccentricity, Mathieu function, Mathematical problems, Ellipses, Mathematical functions, Mathematical notation, Mathematical constants, Roots of functions, Bessel functions
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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.
Mathematics of Computation © 1973 American Mathematical Society