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You searched for karaa
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Paper's Title:
On the Optimal Buckling Loads of Clamped Columns
Author(s):
Samir Karaa
Department of Mathematics and Statistics
Sultan Qaboos University, P.O. Box 36, Alkhod 123
Muscat, Sultanate of Oman
skaraa@squ.edu.om
URL: http://ajmaa.org/EditorsU/SKaraa.php
Abstract:
We consider the problem of determining the optimal shape of a clamped column of given length and volume, without minimum cross section constraints.
We prove that the necessary condition of optimality derived by
Olhoff
and Rasmussen is sufficient when 0<
α<1. The number alpha appears in Equation
2.1. For the case α =1 it is shown that the value
48 is optimal.
We also determine the exact values of the optimal shape at the extremities, and take advantage of a robust nonlinear ordinary differential equation solver COLSYS to compute the optimal buckling load with a high accuracy.
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