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New Closed-Form Solutions for Buckling of a Variable Stiffness Column by Mathematica

I. Elishakoff
O. Rollot
Journal / Anthology

Journal of Sound Vibration
Year: 1999
Volume: 224
Issue: 1
Page range: 172-182

The buckling of uniform columns under various loading adn boundary conditions is a well-studied topic. As far as the columns with variable cross section, several exact solutions are available, in terms of logarthmic and trigonometric [1,2], Bessel [3,4], and Lommel [5-7] funcions. An exact solution in terms of series for buckling load for variable cross-section columns with variable axial foces was furnished by Eisenberger [8]. The closed-form solutions are extremely rare. Two cases will be described as follows.

*Engineering > Mechanical and Structural Engineering
Related items

*Erratum to "New Closed-form Solutions for Buckling of a Variable Stiffness Column by Mathematica" (vol. 224, p. 172, 1999)   [in Articles]