FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 7, PAGES 35-42

**An analytical formula for an elastic thin rod shape under composite
loading**

A. E.
Ordanovich

Abstract

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The Euler problem on stability of a thin elastic rod under
compressing forces is widely known.
In a number of papers this problem is generalized to finding the
shape of such a rod at simultaneous action of a compressing
force and a torsional moment.
The shape is determined by solving of a complex nonlinear
boundary value problem by numerical methods.
In this paper, an approach providing a full analytical solution
of the problem for a broad range of external conditions is
discussed.

Location: http://mech.math.msu.su/~fpm/eng/k05/k057/k05704h.htm

Last modified: December 14, 2005