杨洋, 童根树, 张磊. 压杆轴力与轴向位移全过程曲线的近似表达式[J]. 工程力学, 2012, 29(9): 17-24. DOI: 10.6052/j.issn.1000-4750.2010.10.0751
引用本文: 杨洋, 童根树, 张磊. 压杆轴力与轴向位移全过程曲线的近似表达式[J]. 工程力学, 2012, 29(9): 17-24. DOI: 10.6052/j.issn.1000-4750.2010.10.0751
YANG Yang, TONG Gen-shu, ZHANG Lei. APPROXIMATE EXPRESSION FOR ELASTO-PLASTIC CURVE OF AXIAL FORCE AND AXIAL DISPLACEMENT OF COMPRESSED BAR[J]. Engineering Mechanics, 2012, 29(9): 17-24. DOI: 10.6052/j.issn.1000-4750.2010.10.0751
Citation: YANG Yang, TONG Gen-shu, ZHANG Lei. APPROXIMATE EXPRESSION FOR ELASTO-PLASTIC CURVE OF AXIAL FORCE AND AXIAL DISPLACEMENT OF COMPRESSED BAR[J]. Engineering Mechanics, 2012, 29(9): 17-24. DOI: 10.6052/j.issn.1000-4750.2010.10.0751

压杆轴力与轴向位移全过程曲线的近似表达式

APPROXIMATE EXPRESSION FOR ELASTO-PLASTIC CURVE OF AXIAL FORCE AND AXIAL DISPLACEMENT OF COMPRESSED BAR

  • 摘要: 考虑了几何缺陷、残余应力和材料塑性,采用大变形理论自编程序3D-Steel-Struct 对工字形压杆屈曲前后的变形曲线进行了研究.对非完善双轴对称工字形截面压杆进行了二阶弹性和二阶刚塑性的理论分析,推导了相应阶段的轴压力与变形之间的关系,构造了轴压力与跨中挠度和轴压力与轴向位移之间的解析表达式,并与数值解非常吻合.研究了压杆轴压延性随长细比的变化规律,提出了一个延性与长细比的近似表达式,并具有良好的精度.

     

    Abstract: This paper investigates the deformation of compressed bars with I-section. A finite-element program of 3D-Steel-Struct developed by authors is used in the analysis. Initial geometric crookedness, residual stress and material inelasticity are considered in the investigation. Second order elastic and second order rigid-plastic analysis are carried out for imperfect members, and relations between axially compressive force and deformation are deduced. Analytical expression for axially compressive force and deflection at mid-span are presented, as well as that for axially compressive force and axial shortening. A comparison shows the excellent agreement between the proposed explicit expressions and the numerical results. The axial ductility of compressed member is also studied in the paper. A formula relating the ductility to the slenderness is proposed.

     

/

返回文章
返回