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Vibrations and buckling of eccentrically loaded stiffened cylindrical shells

Vibrations and buckling of stringer-stiffened eccentrically loaded cylindrical shells are studied experimentally and results are compared with theoretical predictions

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Abstract

The influence of eccentricity of loading on the vibrations and buckling of stringer-stiffened shells is studied. An established nonlinear theory, which takes into account nonlinear prebuckling, is applied and the predictions are compared with experimental results. Two families of shells, one ‘heavily’ stiffened and the other ‘moderately’ stiffened, were tested but detailed results are presented only for the ‘heavily’ stiffened shells. In each family there are three identical shells, each with different eccentricity of loading. In all cases, different in-plane-boundary conditions are considered and correlated with experimental results.

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Abbreviations

A 1 :

cross-sectional area of stringers

b 1 :

stringer spacing (distance between centers of stringers)

c 1 :

width of stringer

d 1 :

height of stringer

E :

elastic modulus

e 1 :

stringer eccentricity (distance from shell middle surface to stiffener centroid)

e i :

eccentricity of loading at one stringer at one end (distance from shell middle surface to the point of load application)

ē:

average eccentricity of loading (distance from shell middle surface to the point of load application)

f :

frequency

h :

thickness of shell

I 11 :

moment of inertia of stringer cross section about its centroidal axis

L :

length of shell

M x :

moment resultant in axial direction

m :

number of longitudinal half waves

N x :

axial membrane force resultant

n :

number of circumferential waves

P :

axial load

P cr :

buckling load

R :

radius-to-shell middle surface

SS3:

simple-support boundary condition,M x=w=v=Nx=0

SS4:

simple-support boundary condition,M x=w=v=ux=0

u, v, w :

displacements in axial, circumferential and radial directions, respectively (radial direction positive inward)

Z :

(1-ν) 1/2(L/R)2(R/h), Batdorf shell parameter

ν:

Poisson's ratio

ηt1:

torsional stiffness parameter of stringer

ɛ m :

axial bending strain

σ.001:

0.1 percent offset yield stress

References

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Authors and Affiliations

  1. Department of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

    A. Rosen (Instructor) & J. Singer (Professor)

Authors
  1. A. Rosen
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  2. J. Singer
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Additional information

The research reported has been sponsored in part by the Air Force Office of Scientific Research, through the European Office of Aerospace Research United States Air Force, under Grant 72-2394.

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Rosen, A., Singer, J. Vibrations and buckling of eccentrically loaded stiffened cylindrical shells. Experimental Mechanics 16, 88–94 (1976). https://doi.org/10.1007/BF02324891

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