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柱体限制失稳形态的统一挠度曲线方程 被引量:2

Deflection Governing Equation of Constrained Buckling on Column
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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. The constitutive equation of post-buckling column is derived 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.
出处 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2011年第6期798-801,共4页 Journal of Tongji University:Natural Science
基金 国家自然科学基金资助项目(11002101)
关键词 限制失稳 大变形 点接触 线接触 截面转角 constrained buckling large deformation point contact line contact angle of cross rotation
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参考文献9

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