dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn
Asymptotic expansions of the modified wave functions of an oblate spheroid
β Scribed by N.S. Grigor'eva
- Publisher
- Elsevier Science
- Year
- 1979
- Weight
- 588 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
Two simple pairs of asymptotic expansions in terms of Hermite functions are obtained for the'solutions of the ellipsoidal wave equation.
I t is shown that a simple pair of asymptotic expansions exists for solutions of the ellipsoidal wave equation. An asymptotic expansion for t,he characteristic numbers is also obtained.
This paper presents the results of investigating the axi-symmetric free vibrations of an isotropic thin oblate spheroidal shell. An oblate spheroid is considered as a continuous system constructed from two spherical shell caps by matching the continuous boundary conditions. This approximation techni