Advertisement

FREE VIBRATIONS OF CROSS-PLY LAMINATED NON-HOMOGENEOUS COMPOSITE TRUNCATED CONICAL SHELLS

  • Orhan Aksoğan
  • Abdullah H. Sofiyev
  • Ali Sofiyev
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

In this study, the free vibration of cross-ply laminated non-homogeneous orthotropic truncated conical shells is studied. At first, the basic relations have been obtained for cross-ply laminated orthotropic truncated conical shells, the Young’s moduli and density of which vary piecewise continuously in the thickness direction. Applying Galerkin method to the foregoing equations, the frequency of vibration is obtained. Finally, the effect of non-homogeneity, the number and ordering of layers on the frequency is found for different mode numbers, and the results are presented in tables and compared with other works.

Keywords

Cylindrical Shell Free Vibration Conical Shell Vibration Problem Laminate Cylindrical Shell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aksoğan, O., and Sofiyev, A. H. (2000) The Dynamic Stability of a Laminated Non-homogeneous Orthotropic Elastic Cylindrical Shell under a Time Dependent External Pressure, Int. Con. on Modern Practice in Stress and Vib. Anal. Nottingham, UK, 349–360.Google Scholar
  2. Gutierrez, R. H., Laura, P. A. A., Bambill, D. V., Jederlinic, V. A., and Hodges, D. H. (1998) Axisymmetric Vibrations of Solid Circular and Annular Membranes with Continuously Varying Density, J. Sound and Vib. 212, 611–622.CrossRefADSGoogle Scholar
  3. Lam, K. Y., and Loy, C. T. (1995) Analysis of Rotating Laminated Cylindrical Shells by Different Thin Shell Theories, J. Sound and Vib. 186, 23–35.CrossRefzbMATHADSGoogle Scholar
  4. Leissa, A. W. (1973) Vibration of Shells, NASA SP 288.Google Scholar
  5. Liew, K. M., Ng, T. Y., and Zhao, X. (2002) Vibration of Axially Loaded Rotating Cross-ply Laminated Cylindrical Shells via Ritz Method, J. Eng. Mecs. 128, 1001–1007.CrossRefGoogle Scholar
  6. Lomakin, V. A. (1976) The Elasticity Theory of Non-homogeneous Materials (in Russian), Moscow, Nauka.Google Scholar
  7. Massalas, C., Dalamanagas, D., and Tzivanidis, G. (1981) Dynamic Instability of Truncated Conical Shells with Variable Modulus of Elasticity under Periodic Compressive Forces, J. Sound and Vib. 79, 519–528.CrossRefADSzbMATHGoogle Scholar
  8. Volmir, A. S. (1967) The Stability of Deformable Systems, Moscow, Nauka.Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Orhan Aksoğan
    • 1
  • Abdullah H. Sofiyev
    • 2
  • Ali Sofiyev
    • 3
  1. 1.Department of Civil EngineeringÇukurova UniversityAdanaTurkey
  2. 2.Technical Sciences Department of Kazakh Branch of Teachers InstituteAzerbaijan
  3. 3.Department of Civil EngineeringSDÜIspartaTurkey

Personalised recommendations