具有杆间弹性支撑的端部固定压杆稳定性研究

Study of stability of end-fixed compressed bar with elastic support between bars

为了研究具有杆间弹性支撑的端部固定压杆稳定性问题,首先简化工程模型为理论模型,求解两端固定压杆稳定承载力与杆间弹性支撑刚度的理论关系,并提出简化计算公式;其次根据理论模型,使用杆间弹簧支撑轴心压杆进行失稳试验,调整弹簧数量以改变弹性支撑刚度,进行5组不同弹性支撑刚度下的杆件稳定承载力试验,通过试验结果验证理论解的正确性;最后使用ABAQUS进行有限元分析,计算杆间不同弹性支撑刚度下压杆的稳定承载力,对理论解进行验证.通过试验以及有限元分析验证了理论解的正确性,为工程设计人员提供了简单可靠的计算公式.

In order to study the stability of end-fixed compressed bar with elastic support between bars, firstly, by simplifying the engineering model as a theoretical model, the theoretical relationship between the stable bearing capacity of end-fixed compressed bars and the stiffness of elastic support between the bars is solved, and a simplified calculation formula is put forward. Secondly, according to the theoretical model, the axial compressed bar supported by inter-bar springs is tested for instability, and the quantity of springs is regulated to change the stiffness of elastic support. The test of five groups of stable bearing capacity of members with different stiffness of elastic support is made, and the correctness of the theoretical solution is verified by the test results. Finally, ABAQUS is used for finite element analysis, and the stable bearing capacity of compressed bars with different elastic support stiffness is calculated to verify the theoretical solution. The correctness of the theoretical solution is verified by experiments and finite element analysis, which provides a simple and reliable calculation formula for engineering designers.