受轴向压缩圆柱壳塑性屈曲的内时分析

Endochronic Analysis for Compressive Buckling of Thin- Walled Cylinders in Yield Reglon

采用内时塑性本构方程的增量和全量表达式分析了受轴向压缩圆柱壳的塑性屈曲，得到了塑性屈曲临界应力与圆柱壳特征尺寸间的关系。对ＡＭＦ和铝合金圆柱壳塑性屈曲进行了分析，与实验结果的比较表明：除对于ＡＭＦ圆柱壳由内时塑性本构方程的全量表达式给出了较经典塑性理论全量分析略为保守的结果外，在其它杨合下，内时分析均给出了较经典塑性理论更符合实验数据的结果。

The longitudinal compressive buckling of long and thin-walled cylinders in yield region is analyzed with the ineremental and finite forms of the endochronic constitutive equation,respectively. The relations between the critical stress versus the ratio of R(the radius)versus h(the thickness of the wall)are de- rived. The critical stress of the thin-walled cylinders made of aluminum alloys AMT and are analyzed and compared with the experimental data and the analytical results based on the traditional theory of plasticity. It is seen that. except that the,of the cylinders made of predicted by the finite form of the ondochronic theory seems a little more conservative than that by tradi- tional deformation theory of plasticity,in most Casos,both forms of the endochronic constitutive equation provide more satisfactory results.