| 章顺虎,高彩茹,赵德文,于慧文,张瑜.GM准则解析受线性荷载简支圆板的极限载荷[J].计算力学学报,2013,30(2):292~295 |
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| GM准则解析受线性荷载简支圆板的极限载荷 |
| Limit load analysis of simply supported circular plate under linearly distributed load with GM criterion |
| 投稿时间：2012-02-19 修订日期：2012-09-01 |
| DOI：10.7511/jslx201302020 |
| 中文关键词: GM屈服准则 线性荷载 简支圆板 极限载荷 |
| 英文关键词:GM yield criterion linear distributed load simply supported circular plate limit load |
| 基金项目:国家自然科学基金(51074052);中央高校基本科研业务费(N110607002)资助项目. |
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| 中文摘要: |
| 用GM(几何中线)屈服准则,对受线性荷载作用下的简支圆板进行塑性极限分析,求得极限载荷的解析解。该解为圆板半径a、切向应力最大点半径r0以及极限弯矩的函数。与Tresca、Mises和TSS(双剪应力)屈服准则预测的极限载荷比较表明,Tresca屈服准则预测极限载荷的下限,TSS屈服准则预测极限载荷的上限,GM准则预测的极限载荷恰居二者中间,并靠近Mises解。圆板半径a与切向应力最大点半径r0的变化关系为r0随着a的增加而增加,满足线性关系,r0分别出现在r0=0.7710a和r0=0.5472a的位置上。 |
| 英文摘要: |
| With GM (geometrical midline) yield criterion,the limit load of simply supported circular plate under linearly distributed load is analyzed,and an analytical solution is obtained.The solution shows that the limit load is a function of circular plate radius a ,radius of the maximum tangential stress location r0 and ultimate bending moment.The limit load calculated by the solution is compared with those based on Tresca,Mises,as well as TSS (Twin Shear Stress) yield criteria.It is shown that Tresca criterion predicts a lower bound of the collapse load,while TSS criterion predicts an upper bound.The limit load based on the GM criterion lies between the TSS and Tresca solutions—most notably,the GM solution is close to Mises solution.The relationship between a and r0 is that:the r0 increases with the increase of a,shows a linear relationship and the appearance locations of r0 are r0=0.7710a and r0=0.5472a respectively. |
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