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本文主要讨论两端弹性支承夹紧杆的后屈曲行为与支承刚度的依赖关系.研究表明:存在一个由杆的长度以及抗弯刚度决定的支承刚度的阈值,当支承刚度不超过该阈值时,屈曲荷载是简单的,随着支承刚度的增加而增加,且除了从零开始的一个很小的基础刚度范围外,所有分岔点以及由此产生的后屈曲平衡路径皆是不稳定的;而当支承刚度超过该阈值时,杆的屈曲荷载与两端刚性支承夹紧杆的相同,相应的分岔点及由此产生的后屈曲平衡路径皆是稳定的.于是,在支承刚度阈值以下的太范围内,杆的屈曲荷载对缺陷将是敏感的.
This paper mainly discusses the relationship between the post-buckling behavior and the support stiffness of the clamp rods with elastic support at both ends. The study shows that there exists a threshold value of the support stiffness determined by the length of the rod and the flexural rigidity, when the support stiffness does not exceed the threshold, The buckling load is simple, it increases with the increase of bearing stiffness, and all the bifurcation points and the resulting post-buckling equilibrium path are unstable except for a very small basic stiffness range from zero; When the support stiffness exceeds the threshold, the buckling load of the rod is the same as that of the rigidly supported clamp rods at both ends, and the corresponding bifurcation point and the resulting post-buckling equilibrium path are all stable. Therefore, below the support stiffness threshold Too much, the buckling load of the rod will be sensitive to the defect.