卷边板件屈曲分析的半能量法

A Semi-Energy Method of Buckling Analysis of Edge-Stiffened Plates

本文提出了分析非均匀受压卷边板件屈曲性能的一种半能量法.板件的一非加载边为转角弹性约束边,另一非加载边为卷边加劲边.最大压应力作用于弹性约束边或卷边.板横向挠曲形式假设为振动梁函数.本文方法能适用于各种边界条件.将本文理论分析结果与Timoshenko的经典结论进行比较,吻合良好.同时,本文纠正了Timoshenko的某些错误结果.

A semi-energy method to analyse the buckling behaviour of edge-stiffened plates under combined compression and bending is presented in this paper, One unloaded edge of the plate is restrained elastically against rotation and the other is stiffened by a stiffener or lip. The maximum stress is applied either to the rotationally restrained edge or to the lip. The deflec- tion form across the plate is assumed to be a transcendental function similar to the vibration function of the beam. A comparison between our theoretieal results and Timoshenko's conclusions is made and agreement is seen to be good. Some wrong results obtained by Timoshenko are also corrected in this paper.