摘要
本文借用Shanley模型考虑材料的非线性弹性的影响,给出了临界载荷分析,并用摄动法对后屈曲路径进行了分析。建立了后屈曲路径稳定与否的临界条件并进行了数值计算。结果表明材料的非线性弹性性质对临界载荷及后屈曲路径均有影响。
In this Paper,by using the Shanley′s model the critical load analysis is given by considering the effect of material nonlinear elastic behavior. Using the erturbation method,the analysis of the post-buckling is established.The computational results indicate that the nonlinear elastic behavior of material has effect on the critical loads and the post-buckling path.
基金
国家自然科学基金和山西归国留学人员基金
关键词
非线性弹性
分叉
后屈曲
屈曲
nonlinear elastic
bifurcation
post-buckling
model