The Free and Forced Vibrations of a Closed Elastic Spherical Shell Fixed to an Equatorial Beam-Part II: Perturbation Approximations

摘要: The two small parameters that appear in the final equations developed Part I (Simmonds and Hosseinbor, 2010, "The Free Forced Vibrations of a Closed Elastic Spherical Shell Fixed to an Equatorial Beam—Part I: Governing Equations Special Solutions," ASME J. Appl. Mech., 77, p. 021017), namely, h/R, ratio constant shell thickness radius curvature shell's reference surface H/R, where H is depth (or width) equatorial beam, are exploited using perturbation techniques (including WKB method). natural frequencies depend not only on these parameters, but also mass densities Young moduli Poisson's ratio, circumferential wave number m. Short tables for typical parameter values given those cases frequency equation explicit.