| 柱体限制失稳形态的统一挠度曲线方程 |
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| 引用本文： | 武秀根,郑百林,贺鹏飞,刘曙光.柱体限制失稳形态的统一挠度曲线方程[J].同济大学学报(自然科学版),2011,39(6):798-801. |
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| 作者姓名： | 武秀根 郑百林 贺鹏飞 刘曙光 |
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| 作者单位： | 1. 同济大学土木工程学院,上海,200092
2. 同济大学航空航天与力学学院,上海,200092 |
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| 基金项目： | 国家自然科学基金项目（项目编号）11002101 |
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| 摘 要： | 在大变形框架下,基于点接触和线接触状态,分析轴向受压失稳柱在不同接触状态下的挠度曲线方程.将柱整体的失稳形态分解为多个典型柱的变形,引入各个典型柱反弯点处的截面转角作为变量,推导得到了相应典型柱的挠度曲线表达式.结果表明,柱的限制失稳形态可用统一的挠度曲线方程描述,截面转角变量的不同取值范围决定了柱与限制失稳构件之间不同的接触状态.
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| 关 键 词： | 限制失稳 大变形 点接触 线接触 截面转角 |
| 收稿时间： | 3/9/2010 2:56:29 PM |
| 修稿时间： | 4/20/2011 4:35:46 PM |
Deflection Governing Equation of Constrained Buckling on Column |
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| WU Xiugen,ZHENG Bailin,HE Pengfei and LIU Shuguang.Deflection Governing Equation of Constrained Buckling on Column[J].Journal of Tongji University(Natural Science),2011,39(6):798-801. |
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| Authors: | WU Xiugen ZHENG Bailin HE Pengfei and LIU Shuguang |
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| Institution: | College of Civil Engineering, Tongji University,School of Aerospace Engineering and Applied Mechanics,Tongji University,School of Aerospace Engineering and Applied Mechanics,Tongji University,College of Civil Engineering, Tongji University |
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| Abstract: | The constitutive equation of post-buckling column is derived in this paper, based on large deformation postulation, to describe point contact and line contact respectively. The deformation of column can be regarded as the combined deformations of different typical small columns. The angle of rotation of the middle point in typical column is introduced in the constitutive equations of different typical columns. The results show that the constitutive equations in different contact state obey the same formulation, and the contact state depends on the value of new introduced variable. |
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| Keywords: | constrained buckling large deformation point contact line contact angle of cross rotation |
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