Buckling of axially graded columns with varying power-law gradients
点击次数：
影响因子：
6.144
所属单位：
中南大学
发表刊物：
Steel and Composite Structures
关键字：
axially graded column; buckling; critical load; exact solution; power-law gradient
摘要：
This paper studies the static stability of an axially graded column with the power-law gradient varying along the
axial direction. For a nonhomogeneous column with one end linked to a rotational spring and loaded by a compressive force,
respectively, an Euler problem is analyzed by solving a boundary value problem of an ordinary differential equation with
varying coefficients. Buckling loads through the characteristic equation with the aid of the Bessel functions are exactly given. An
alternative way to approximately determine buckling loads through the integral equation method is also presented. By
comparing approximate buckling loads with the exact ones, the approximate solution is simple in form and enough accurate for
varying power-law gradients. The influences of the gradient index and the rotational spring stiffness on the critical forces are
elucidated. The critical force and mode shapes at buckling are presented in graph. The critical force given here may be used as a
benchmark to check the accuracy and effectiveness of numerical solutions. The approximate solution provides a feasible
approach to calculating the buckling loads and to assessing the loss of stability of columns in engineering.
论文类型：
期刊论文
是否译文：
否
收录刊物：
SCI
学位：硕士学位
职称：高级实验师
学科：力学
所在单位：土木工程学院