Vibration of thick/thin skewed taper cylindrical shell panel

• Autorzy: Haldar S. , Majumder A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a nine node isoparametric plate bending element is used for free vibration analysis of isotropic skewed taper cylindrical shell panels. The thickness of panels varies linearly in one direction only. In the present analysis first order shear deformation theory is incorporated. Two types of mass lumping schemes are recommended. In one of the mass lumping schemes the effect of rotary inertia is incorporated. Free vibration of skewed taper cylindrical shell panels having different shell thickness to radius (h/R) ratios, length to radius ratios (L/R), skew angles and different boundary conditions are analyzed following the shallow shell theory.

Słowa kluczowe

EN

shallow shell theory; first order shear deformation theory; rotary inertia; skew angle; taper shell panel; free vibration; lumped mass

PL

teoria deformacji; bezwładność obrotowa; kąt nachylenia; drgania

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 3
• Strony: 649--660
• Opis fizyczny: Bibliogr. 17 poz., tab., wykr.

Twórcy

autor

Haldar S.

autor

Majumder A.

• Department of Aerospace Engineering and Applied Mechanics Bengal Engineering and Science University P. O. - B. Garden, Howrah - 711103, INDIA,

Bibliografia

• Bert C.W. and Malik M. (2002): Free vibration analysis of tapered rectangular plates by differential quadrature method: A semi-analytical approach. - Journal of Sound and Vibration, vol.190, pp.41-63.
• Boay C.G. (1995): Frequency analysis of rectangular isotropic plates carrying a concentrated mass. - Computers and Structures, vol.56, pp.39-48.
• Corr R.B. and Jennings A. (1951): A simultaneous iteration algorithm for symmetric eigenvalu problems. - International Journal of Numerical Methods and Engineering, vol.18, pp.31-38.
• Flugge W. (1960): Stresses in Shells. - New York: Springer.
• Hossain S.J., Sinha P.K. and Sheikh A.H. (2004): A finite element formulation for the analysis of laminated composite shells. - Computers and Structures, vol.82, pp.1623-1638.
• Kandasamy S. and Singh A.V. (2006): Free vibration analysis of skewed open circular cylindrical shells. - Journal of Sound and Vibration, vol.290, pp.1100-1118.
• Kang J.H. and Leissa A.W. (2000): Three dimensional vibrations of thick spherical shell segments with variable thickness. - Int. Journal of Solids and Structures, vol.37, pp.4811-4823.
• Lee S.J. and Han S.E. (2001): Free vibration analysis of plates and shells with a nine-node assumed natural degenerated shell element. - Journal of Sound and Vibration, vol.241, No.4, pp.605-633.
• Leissa A.W., Lee J.K. and Wang A.J.H. (1981): Vibration of cantilevered shallow cylindrical shells of rectangular platform. - Journal of Sound and Vibration, vol.78, pp.311-321.
• Liu L., Chua L.P. and Ghista D.N. (2006): Element free Galerkin method for static and dynamic analysis of spatial shell structures. - Journal of Sound and Vibration, vol.295, pp.388-406.
• Liu W.H and Huang C.C. (1992): Vibration analysis of folded plates. - Journal of Sound and Vibration, vol.156, pp.123-137.
• Niordson F.I. (1978): A consistent refined shell theory, complete analysis and its applications. - Vekua Anniveesary Volume, Nauka, Moscow, pp.421-429.
• Qatu M.S. (2002): Recent research advances in the dynamic behavior of shells. - Part-I Applied Mechanics reviews, vol.55, pp.325-350.
• Qatu M.S. (2002): Recent research advances in the dynamic behavior of shells. - Part-II Applied Mechanics reviews, vol.55, pp.415-434.
• Sanders J.L. (1959): An improved first approximation theory of thin shells. - NASA Report 24.
• Selmane A. and Lakis A.A. (1997): Dynamic analysis of anisotropic open cylindrical shells. - Computers and Structures, vol.62, pp.1-12.
• Voyiadjis G.Z. and Woelke P. (2004): A refined theory for thick spherical shells. - Solids and Structures, vol.41, pp.3747-3769.