材料和几何线性的有限条分析

FINITE STRIP METHOD FOR THE COMBINED MATERIAL AND GEOMETRIC NONLINEARITIES

  • 摘要: 本文建立了大挠度弹塑性有限条法,用以计算初曲板在面内荷载作用下的极限荷载。分析中采用了伴随修正的Ilyushin屈服准则或修正的Ivanov屈服准则和Prandtl—Reuss塑性流动法则的面积法。通过与前人对板屈曲后弹塑性分析算例的比较,证明该方法对于板的大挠度弹塑性分析具有相当高的精度。

     

    Abstract: A finite strip method is first set up for the large deflection elastoplastic analysis of initially imperfect thin retangular plates subjected to in—plane loads. The ultmate loads of the plates are calculated using a area approach associating a modified Ilyushin or Ivanov yield criterion and the prandtl—Reuss flow rules. Comparison of analytic results obtained by the finite strip method with available theoretical results is very good agreement, which reveals that the finite strip method is extremely accurate in large deflection elastoplastic analysis.

     

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