The dynamic stability of a nonhomogeneous orthotropic elastic truncated conical shell under a time dependent external pressure


AVEY A., Aksogan O.

Structural Engineering and Mechanics, cilt.13, sa.3, ss.329-343, 2002 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2002
  • Doi Numarası: 10.12989/sem.2002.13.3.329
  • Dergi Adı: Structural Engineering and Mechanics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.329-343
  • Anahtar Kelimeler: Conical shell, Dynamic critical load, Dynamic factor, Dynamic stability, External pressure, Galerkin's method, Nonhomogeneous, Orthotropic, Truncated, Wave number
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this research, the dynamic stability of an orthotropic elastic conical shell, with elasticity moduli and density varying in the thickness direction, subject to a uniform external pressure which is a power function of time, has been studied. After giving the fundamental relations, the dynamic stability and compatibility equations of a nonhomogeneous elastic orthotropic conical shell, subject to a uniform external pressure, have been derived. Applying Galerkin's method, these equations have been transformed to a pair of time dependent differential equations with variable coefficients. These differential equations are solved using the method given by Sachenkov and Baktieva (1978). Thus, general formulas have been obtained for the dynamic and static critical external pressures and the pertinent wave numbers, critical time, critical pressure impulse and dynamic factor. Finally, carrying out some computations, the effects of the nonhomogeneity, the loading speed, the variation of the semi-vertex angle and the power of time in the external pressure expression on the critical parameters have been studied.