First-Order Solutions for the Buckling Loads of Euler-Bernoulli Weakened Columns

被引:8
作者
Loya, J. A. [1 ]
Vadillo, G. [1 ]
Fernandez-Saez, J. [1 ]
机构
[1] Univ Carlos III Madrid, Dept Continuum Mech & Struct Anal, Madrid 28911, Spain
来源
JOURNAL OF ENGINEERING MECHANICS-ASCE | 2010年 / 136卷 / 05期
关键词
BENDING VIBRATIONS; CRACKED BEAMS; FUNDAMENTAL-FREQUENCY; SINGULARITIES;
D O I
10.1061/(ASCE)EM.1943-7889.0000103
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this work, closed-form expressions for the buckling loads of a weakened column with different boundary conditions are presented. The cracked-column model is based on the well-known method consisting of dividing the column into two segments connected by a rotational linear spring whose flexibility is related to the crack size and the geometry of the cross section. For the formulation of closed-form expressions, the perturbation method is used and the results are compared with those found by directly solving the eigenvalue problem.
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页码:674 / 679
页数:6
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