Numerical solution of three-dimensional problem of free vibrations of composite laminated anisotropic shells of revolution

1992 ◽  
Vol 27 (5) ◽  
pp. 561-567
Author(s):  
P. Ya. Nosatenko ◽  
M. N. Omel'chenko
Keyword(s):  
Numerical Solution ◽  
Three Dimensional ◽  
Free Vibrations ◽  
Dimensional Problem ◽  
Shells Of Revolution ◽  
Anisotropic Shells

Free Vibrations of Thick, Complete Conical Shells of Revolution From a Three-Dimensional Theory

2005 ◽  
Vol 72 (5) ◽  
pp. 797-800 ◽  
Author(s):  
Jae-Hoon Kang ◽  
Arthur W. Leissa
Keyword(s):  
Ritz Method ◽  
Three Dimensional ◽  
Axial Direction ◽  
Free Vibrations ◽  
Mode Shapes ◽  
Vibration Frequencies ◽  
Shells Of Revolution ◽  
Dimensional Theory ◽  
Conical Shells ◽  
Cylindrical Coordinate

A three-dimensional (3D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (not truncated) conical shells of revolution in which the bottom edges are normal to the midsurface of the shells based upon the circular cylindrical coordinate system using the Ritz method. Comparisons are made between the frequencies and the corresponding mode shapes of the conical shells from the authors' former analysis with bottom edges parallel to the axial direction and the present analysis with the edges normal to shell midsurfaces.

Influence of the Parameters of Discretization on the Accuracy of Numerical Solution of the Three-Dimensional Problem of Hydrogen Diffusion

2016 ◽  
Vol 52 (2) ◽  
pp. 280-286 ◽  
Author(s):  
O. V. Hembara ◽  
O. Ya. Chepil’ ◽  
N. T. Hembara
Keyword(s):  
Numerical Solution ◽  
Hydrogen Diffusion ◽  
Three Dimensional ◽  
Dimensional Problem

Numerical solution of three-dimensional problem of high-speed interaction of a cylinder with a rigid barrier, taking into account thermal effects

1994 ◽  
Vol 30 (3) ◽  
pp. 193-198 ◽  
Author(s):  
V. A. Gorel'skii ◽  
S. A. Zelepugin ◽  
V. N. Sidorov
Keyword(s):  
Numerical Solution ◽  
Thermal Effects ◽  
High Speed ◽  
Three Dimensional ◽  
Dimensional Problem ◽  
Rigid Barrier

FREE VIBRATIONS OF COMBINED HEMISPHERICAL–CYLINDRICAL SHELLS OF REVOLUTION WITH A TOP OPENING

2013 ◽  
Vol 14 (01) ◽  
pp. 1350023 ◽  
Author(s):  
JAE-HOON KANG
Keyword(s):  
Present Method ◽  
Thin Shell ◽  
Natural Frequencies ◽  
Cylindrical Shells ◽  
Ritz Method ◽  
Three Dimensional ◽  
Free Vibrations ◽  
Two Dimensional ◽  
Algebraic Polynomials ◽  
Shells Of Revolution

A three-dimensional (3D) method of analysis is presented for determining the free vibration frequencies of joined hemispherical–cylindrical shells of revolution with a top opening. Unlike conventional shell theories, which are mathematically two-dimensional (2D), the present method is based upon the 3D dynamic equations of elasticity. Displacement components ur, uθ and uz in the radial, circumferential, and axial directions, respectively, are taken to be periodic in θ and in time, and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the joined shells are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies. Natural frequencies are presented for different boundary conditions. The frequencies from the present 3D method are compared with those from 2D thin shell theories.

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