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
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摘要: 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σcr与圆柱壳特征尺寸R/h间的关系。对АМг和д1Т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АМг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。Abstract: The longitudinal compressive buckling of long and thin-walled cylinders in yield region is analyzed with the incremental and finite forms of the endochronic constitutive equation, respectively. The relations between the critical stress σcrversus the ratio of R (the radius) versus h (the thickness of the wall) are derived. The critical stress of the thin-walled cylinders made of abuminum alloys AMГ and Д1T are analyzed and compared with the experimental data and the analytical results based on traditional theory of plasticity. It is seen that. except that the σcr of the cylinders made of Д1T predicted by the finite form of the endochronic theory seems a little more conservative than that by traditional deformation theory of plasticity, in most cases, both forms of the endochornic constitutive equation provide more satisfactory results.
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Key words:
- cylindrical shell /
- compressive buckling /
- endochronic analysis
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