A closed-form solution for the generalized Euler problem

被引：29
|
作者：
Elishakoff, I [1 ]
机构：
[1] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2000年 / 456卷 / 2002期
关键词：
buckling; columns; inhomogeneity; closed-form solution;
D O I：
10.1098/rspa.2000.0618
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Euler's problem, that of buckling of a uniform column under its own weight, is generalized to include columns of variable stiffness. It is posed as an inverse problem: namely, determine the variation of the stiffness along the axis of the column so that the column has the prescribed buckling mode, given as a simple polynomial function.
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页码：2409 / 2417
页数：9
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