Closure to “Discussion of ‘Saint-Venant’s Principle and the Torsion of Thin Shells of Revolution’” (1977, ASME J. Appl. Mech., 44, p. 361)

1977 ◽  
Vol 44 (2) ◽  
pp. 361-361
Author(s):  
C. O. Horgan ◽  
L. T. Wheeler
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution

Maysel's formula generalized for piezoelectric vibrations - Application to thin shells of revolution

1996 ◽  
Author(s):  
Hans Irschik ◽  
Franz Ziegler ◽  
Hans Irschik ◽  
Franz Ziegler
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution

scholarly journals Large Creep Deformations of Thin Shells of Revolution

1973 ◽  
Vol 39 (327) ◽  
pp. 3304-3312
Author(s):  
Shigeo TAKEZONO ◽  
Masafumi NAKATSUKASA ◽  
Masami USUI
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution ◽  
Creep Deformations

scholarly journals Axisymmetric Vibrations of Thin Shells of Revolution

1984 ◽  
Vol 27 (227) ◽  
pp. 974-986 ◽  
Author(s):  
Katsuyoshi SUZUKI ◽  
Norio KIKUCHI ◽  
Tadashi KOSAWADA ◽  
Shin TAKAHASHI
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution

Torsional Vibrations of Shells of Revolution

1961 ◽  
Vol 28 (4) ◽  
pp. 571-573 ◽  
Author(s):  
H. Garnet ◽  
M. A. Goldberg ◽  
V. L. Salerno
Keyword(s):  
Differential Equation ◽  
Governing Equation ◽  
Torsional Vibration ◽  
Conical Shell ◽  
Order Differential Equation ◽  
Annular Plate ◽  
Thin Shells ◽  
Torsional Vibrations ◽  
Vibration Modes ◽  
Shells Of Revolution

Torsional-vibration modes are uncoupled from the bending and extensional modes in thin shells of revolution. The solution for the uncoupled torsional modes then depends upon a linear second-order differential equation. The governing equation is subsequently solved for the frequencies of a conical shell. A tabulation of the first five frequencies for varying ratios of the terminal radii is presented. These frequencies are identical to those of an annular plate which has the same supports as the conical shell.

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