Shape optimization of beam due to lateral buckling problem

被引：11

作者：

Drazumeric, R. ^{[1
]}

Kosel, F. ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Mech Engn, Ljubljana 1000, Slovenia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2012年 / 47卷 / 03期

关键词：

Lateral buckling; Large deflections; Optimal shape; Rayleigh-Ritz method; OPTIMAL-DESIGN; EIGENVALUES;

D O I：

10.1016/j.ijnonlinmec.2011.12.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Based on a non-linear mathematical model of lateral buckling of a slender beam with a narrow rectangular cross section, the variational formulation of the two-parametric optimization problem is given in the dimensionless form. An optimal shape is obtained by solving the variational problem using the Rayleigh-Ritz method with the orthogonal system of trigonometric functions. By a partial solution of the Euler-Lagrange differential equation of the variational problem, a proof is given that in the case of the optimal shape, a maximal reference stress according to the total strain energy theory is constant along the beam. An example of extrapolation of the two-parametric optimization problem solution is represented. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：65 / 74

页数：10

共 23 条

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