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对中柔度压杆的双模量理论的修正
引用本文:曾纪杰.对中柔度压杆的双模量理论的修正[J].机械强度,2006,28(3):462-464.
作者姓名:曾纪杰
作者单位:湖南理工学院,机电系,岳阳,414000
摘    要:从中柔度压杆的双模量理论的推导过程中发现,由于引入切线模量与弹性模量之后,引起压杆截面上拉、压应力的不对称分布,致使中性轴与形心轴分离。两轴分离为双模量临界载荷Pr过大的真正原因。通过引入偏离量e,对双模量临界载荷Pr进行修正,将双模量理论、切线模量理论联系在一起。随着比率v的减小,修正后的双模量临界载荷Prl越来越接近切线模量临界载荷Pl。

关 键 词:中柔度压杆  弹塑性屈曲  双模量临界载荷
收稿时间:2004-09-23
修稿时间:2004-09-232004-11-08

REVISION OF THE FORMULA WITH BIMODULUS IM INTERMEDIATE COLUMN
ZENG JiJie.REVISION OF THE FORMULA WITH BIMODULUS IM INTERMEDIATE COLUMN[J].Journal of Mechanical Strength,2006,28(3):462-464.
Authors:ZENG JiJie
Affiliation:Hunan Institute of Science and Technology, Yueyang 414000, China
Abstract:Because of appearance of non-symmetry stress distributing on section by using tangent modulus and elastic modulus, the separation between neutral axis and centroidal axis on section is found in deducing of the formula with bimodulus. The separation of the two axes is the real reason why the value of critical load with bimodulus is too large. The formula after revision has been deduced by means of eccentricity e. As a result, the relationship between the formula after revision and the formula with tangent modulus has been established. With the decrease of the rate of tangent modulus and elastic modulus, the value of critical load after revision is closer to the value of critical load with tangent modulus.
Keywords:Intermediate column  Elastic-plastic buckling  Critical load with bimodulus
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