caa a22 4500 477047947 CHVBK 20180405111335.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1007/BF01089698 doi (NATIONALLICENCE)springer-10.1007/BF01089698 Oda Hitoshi Department of Earth Sciences, Okayama University, 700, Okayama, Japan aut Aspherical correction for free vibration of elastically anisotropic solid by means of the XYZ algorithm [Elektronische Daten] [Hitoshi Oda] By applying the perturbation theory to theXYZ algorithm (a kind of variational method), the difference δf in free vibration frequencies between sphere and ellipsoid was approximated as $$\delta f = \Psi _x \varepsilon _x + \Psi _y \varepsilon _y + \Psi _z \varepsilon _z $$ , where Ψi and ɛ i (i = x,y andz) (i=x, y andz) are aspherical coefficients and asphericities of the ellipsoid, respectively. We developed an analytic method to compute the aspherical coefficients719-4 by using theXYZ algorithm. A numerical example was given for an ellipsoidal olivine, and an attempt was made to estimate the asphericities of the specimen by a least-squares method, based on the relationship between frequency shift and asphericity. Birkhäuser Verlag, 1996 Free vibration nationallicence elastic anisotropy nationallicence asphericity nationallicence XYZ algorithm nationallicence RST nationallicence pure and applied geophysics Birkhäuser-Verlag 147/4(1996-10-01), 719-727 0033-4553 147:4<719 1996 147 24 https://doi.org/10.1007/BF01089698 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01089698 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Oda Hitoshi Department of Earth Sciences, Okayama University, 700, Okayama, Japan aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 147/4(1996-10-01), 719-727 0033-4553 147:4<719 1996 147 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer