开洞薄壁杆件侧向稳定

Lateral Stability of Thin-Walled Bar with Openings

根据能量原理，借助于变分法导出一个考虑薄壁杆件扭转和翘曲变形影响的侧向稳定特征方程．利用Ｇａｌｅｒｋｉｎ加权余量法计算简支、跨中点荷载的开洞薄壁杆件的临界荷载．

For a thin-walled bar with openings,a characteristic equation of lateral stability is derived from energy principle and with the aid of variational method. In the equation,the effects of torsion and warping are being taken into account. The critical load of this simply supported and cut across midpoint loading thinwalled bar with openings is calculated by Galerkin's method of weighted residuals.The numerical results obtained ciosely agree to the test results.The numerical stability of the author's method can be explained by the rapid convengence of calculated results in the paper.A complex practical issue in engineering is thus transformed into a simple one,which needs to solve only one linear equation with one variable.