摘要
本文引进Timoshenko梁振型函数,用康托洛维奇变分法分析了具有自由边的矩形厚板弯曲问题,并用该法计算了齿轮轮齿应力,得到较精确的结果,同时用电测实验进行了验证。
The authors introduce the mode functions of Timoshenko beam and obtain the solution of bending problems of thick rectangular plates with free boundary by Kantorvich's method. The stresses of gear teeth are calculated with the method suggested in this paper with satisfactory accuracy and verified by experiments.
关键词
厚板
弯曲
齿轮
应力
强度
bending of thick plate, Kantorvich's method, strength of gear.