Roots of the cylindrical shell characteristic equation for harmonic circumferential edge loading

AIAA Journal ◽  
1970 ◽  
Vol 8 (3) ◽  
pp. 452-454
Author(s):  
PAUL SEIDE
Keyword(s):  
Cylindrical Shell ◽  
Characteristic Equation ◽  
Edge Loading ◽  
Shell Characteristic

Approximate Roots of Flu¨gge’s Characteristic Equation for the Closed Cylindrical Shell

1969 ◽  
Vol 36 (2) ◽  
pp. 352-355 ◽  
Author(s):  
J. R. Colbourne
Keyword(s):  
Cylindrical Shell ◽  
Characteristic Equation ◽  
Approximate Solutions ◽  
Harmonic Number ◽  
Higher Harmonics ◽  
Closed Cylindrical Shell ◽  
Shell Characteristic

Two approximate solutions are given for Flu¨gge’s closed cylindrical shell characteristic equation, valid for the lower and higher harmonics, respectively. It is shown that as the harmonic number increases, the roots of Donnell’s characteristic equation do not behave asymptotically like those of the Flu¨gge equation.

Orthotropic Cylindrical Shells Under Dynamic Loading

1979 ◽  
Vol 101 (2) ◽  
pp. 322-329 ◽  
Author(s):  
E. Mangrum ◽  
J. J. Burns
Keyword(s):  
Cylindrical Shell ◽  
Characteristic Equation ◽  
Transverse Shear ◽  
Constant Velocity ◽  
Shell Theory ◽  
Fourier Transforms ◽  
Axial Direction ◽  
Shear Deformations ◽  
Small Deflection ◽  
Partial Fractions

An orthotropic right cylindrical shell is analyzed when subjected to a discontinuous, finite length pressure load moving in the axial direction at constant velocity. The analysis utilizes linear, small deflection shell theory which includes transverse shear deformations, and external radial damping. The problem is solved using Fourier transforms. The inverse Fourier integrals are evaluated for the radial deflection, axial deflection and rotation by expanding the characteristic equation in partial fractions. The behavior of load velocity loci is studied for variations in material moduli and thickness to radius ratio. The deflection response is investigated.

Elasto-plastic state of curve beam system subjected to complex loading

1996 ◽  
Vol 18 (4) ◽  
pp. 14-22
Author(s):  
Vu Khac Bay
Keyword(s):  
Cylindrical Shell ◽  
Solution Method ◽  
Complex Loading ◽  
Numerical Results ◽  
Elastic Solution ◽  
Plastic State ◽  
Curve Beam ◽  
Elastic State ◽  
Elastic Plastic ◽  
Beam System

Investigation of the elastic state of curve beam system had been considered in [3]. In this paper the elastic-plastic state of curve beam system in the form of cylindrical shell is analyzed by the elastic solution method. Numerical results of the problem and conclusion are given.

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