吕岩松, 郭日修. 计算加肋轴对称组合壳塑性极限载荷的缩减弹性模量有限元法[J]. 工程力学, 2014, 31(增刊): 171-176,176. DOI: 10.6052/j.issn.1000-4750.2013.03.S002
引用本文: 吕岩松, 郭日修. 计算加肋轴对称组合壳塑性极限载荷的缩减弹性模量有限元法[J]. 工程力学, 2014, 31(增刊): 171-176,176. DOI: 10.6052/j.issn.1000-4750.2013.03.S002
LÜ Yan-song, GUO Ri-xiu. A FINITE ELEMENT METHOD BASED ON ELASTIC MODULUS REDUCTION FOR THE LIMIT ANALYSIS OF RING-STIFFENED AXISYMMETRIC COMBINED SHELL[J]. Engineering Mechanics, 2014, 31(增刊): 171-176,176. DOI: 10.6052/j.issn.1000-4750.2013.03.S002
Citation: LÜ Yan-song, GUO Ri-xiu. A FINITE ELEMENT METHOD BASED ON ELASTIC MODULUS REDUCTION FOR THE LIMIT ANALYSIS OF RING-STIFFENED AXISYMMETRIC COMBINED SHELL[J]. Engineering Mechanics, 2014, 31(增刊): 171-176,176. DOI: 10.6052/j.issn.1000-4750.2013.03.S002

计算加肋轴对称组合壳塑性极限载荷的缩减弹性模量有限元法

A FINITE ELEMENT METHOD BASED ON ELASTIC MODULUS REDUCTION FOR THE LIMIT ANALYSIS OF RING-STIFFENED AXISYMMETRIC COMBINED SHELL

  • 摘要: 基于缩减弹性模量的理念,建立计算加肋轴对称组合壳塑性极限载荷的有限元方法。定义轴对称壳单元的“弹性状态”、“局部屈服状态”和“截面屈服状态”,并提出判断条件。提出肋骨单元屈服的判断条件。外载荷分成若干载荷步,分步加载,通过缩减“局部屈服”壳单元和屈服的肋骨单元的弹性模量,模拟组合壳的弹塑性应力状态,直至组合壳达到“截面屈服”的塑性极限状态,从而得到组合壳的塑性极限载荷。编制了有限元计算程序,算例表明该方法计算速度快,计算精度较高,可用于工程计算。

     

    Abstract: Based on elastic modulus reduction, a finite element method was proposed to plastic limit analysis for ring-stiffened axisymmetric combined shell. The ‘elastic state’, ‘local yield state’ and ‘section yield state’ of shell element were defined and the criterions for each state were established. The criterion for stiffener yielding was established too. The combined shell was loaded step by step, elastic-plastic state was simulated by reducing the elastic modulus of locally yielded shell element and the stiffener which yielded. The criterion for plastic limit state of ring-stiffened axisymmetric combined shell was presented, by which the plastic limit load of combined shell was determined. The computer program was developed. Numerical examples show that the proposed method is effective, the computed result is accurate, and can be applied in engineering.

     

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