柱体限制失稳形态的统一挠度曲线方程

Deflection Governing Equation of Constrained Buckling on Column

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.

Abstract:

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.