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A nondestructive dynamic method for the determination of the critical load of elastic columns

Measured mode shapes are used in predicting the buckling load of elastic columns with general boundary conditions

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Abstract

A dynamic method for predicting the buckling load of an elastic column is formulated. The method is based on the integral-equation representation of a column with varying cross section and elastic springs at the boundaries. The experimental inputs are the dynamic properties of the unloaded column (trequencies, mode shapes and masses). The buckling loads predicted for three tested configurations agreed well with loads defined by other static and dynamic methods.

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Abbreviations

G(x;ζ):

influence function

ℓ:

length of the column

m(x) :

distributed mass

\(\bar M\) :

generalized mass

P cr :

buckling load

x :

length coordinate

y :

deflection, lateral

ϕ:

mode shape

ω:

resonance frequency

References

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Authors and Affiliations

  1. Department of Aeronautical Engineering, Technion, Haifa, Israel

    A. Segall (Graduate Student) & M. Baruch (Professor)

Authors
  1. A. Segall
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  2. M. Baruch
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Segall, A., Baruch, M. A nondestructive dynamic method for the determination of the critical load of elastic columns. Experimental Mechanics 20, 285–288 (1980). https://doi.org/10.1007/BF02328413

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  • DOI: https://doi.org/10.1007/BF02328413

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