偏压薄壁杆稳定计算的有限杆元法

FINITE MEMBER ELEMENT METHOD FOR STABILITY OF THIN-WALLED ECCENTRIC COMPRESSIVE MEMBERS

根据能量原理,综合三次B样条函数、有限单元法和经典Vlasov薄壁杆理论的优点,提出偏压薄壁杆稳定计算的有限杆元法.推导和求解过程中,同时考虑了截面扭转、翘曲和杆中面上剪应变的影响,可适用求解常用边界条件,任意截面形状的薄壁杆特征值问题.与经典方法比较显示着该文计算方法的有效性.

The present study is focused on establishing a numerical procedure-finite member element method, based on energy principle, to estimate the buckling capacity of thin-walled eccentric compressive members. The numerical method proposed combines the advantages of B3-spline, the finite element method and Vlasov's thin-walled beam theory. It is emphasized that the energy equation for buckling analysis is applicable for thin-walled members with any cross section. The effects of torsion, warping and the shearing strains in the middle surface of the walls are taken into account. Compared with the classical method, the numerical results obtained in this paper demonstrate the efficiency of the method proposed.