摘要
对于压杆稳定问题,很容易误认为,只有当轴向压力等于临界载荷及其若干整数倍时,杆件才有曲线平衡解,才会失稳;当轴向压力介于临界载荷整数倍之间时,杆件不存在曲线平衡解,不会失稳,这与实际情况不符.利用曲率的精确公式,探讨了造成这一问题的原因,说明了拉杆不会失稳的原因,描述了随着压力增大压杆挠曲线的变化情况.
The critical axial pressures of an Euler's pole in some constraint conditions are well known.According to the derivation,the Euler's staight pole might be in a curved static state and lose stability only if the axial pressure is equal to some integer multiple of the critical axial pressure value.When the pressure is between two integer multiples of the critical value,the pole might not be in a curved static state.In other words,it will remain in a straight state and will not lose stability.This is obviously not consistent with the reality.The problem is discussed in this paper by using the exact formula of the pole's curvature.The reason why the pull-pole will not lose stability is explained.Meanwhile,the variation of the pole's deflection curve with the increase of the axial pressure is discussed.
出处
《力学与实践》
北大核心
2014年第5期636-638,共3页
Mechanics in Engineering
关键词
压杆稳定
挠曲线
轴向压力
stability of Euler's pole
deflection curve
the axial pressure
