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Buckling of cylindrical shells heated along two opposite generators combined with axial compression

Experimental technique developed during a study of buckling under a combination of axial load and heated generators is described, and test results are compared with theory

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Abstract

A series of tests was carried out on clamped cylindrical shells under a combination of thermal and mechanical loads. The shells were linearly heated along two opposite generators in addition to a uniform axial pressure applied before the heating. The paper describes the test setup, equipment and techniques used. Systems for rapid measurement, data analysis and storage designed for the experimental work are presented.

As an outcome of this study, a linear-interaction line is proposed in order to express the interaction between thermal-and mechanical-buckling loads.

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Abbreviations

A :

numerical constant

a H :

H/hgC heat-transfer constant

b H :

H o /K c h heat-transfer constant

C :

thermal capacity

E :

modulus of elasticity

F :

relative coordinatex of the wave center

g :

density of element

h :

thickness of shell

H :

surface conductance

H o :

linear surface conductance

K :

K c /gC diffusivity

K c :

thermal conductivity

L :

length of shell

P :

compressive force (N)

P c :

free parameter according to eq (2)

R :

mean radius of cylindrical shell

t :

time

T :

temperature rise at given point (°K)

T o :

temperature rise at midpoint of heated generator

T c :

free parameter according to eq (2)

T o cr :

temperature rise at midpoint of heated generator at moment of buckling

u, v, w :

displacements in x, y and z directions

V :

temperature of model of linear heater

x, y, z :

axial, circumferential and radial nondimensional coordinates

α:

coefficient of linear thermal expansion

ν:

Poisson's ratio

σ Cl :

classical value of critical stress for uniform axial compression, eq (1)

ρ:

ratio between experimental critical maximum axial stress to that predicted by linear theory for uniform axial compression

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Authors and Affiliations

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

    Y. Frum (Associate Research Fellow) & M. Baruch (Professor)

Authors
  1. Y. Frum
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  2. M. Baruch
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Additional information

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

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Frum, Y., Baruch, M. Buckling of cylindrical shells heated along two opposite generators combined with axial compression. Experimental Mechanics 16, 133–139 (1976). https://doi.org/10.1007/BF02321107

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