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起重机伸缩臂通常由多级不同截面尺寸的筒式臂节套接而成,由内置液压缸驱动并承受轴向力,伸缩臂本身并不直接承受轴向力,因而不应以阶梯柱模型计算其整体稳定性。建立涉及伸缩液压缸支撑作用的多节伸缩臂稳定性分析模型,给出相应的欧拉临界力解析表达式,并将之与阶梯柱模型的解进行比较。比较结果表明:在液压缸不首先失稳的条件下,涉及伸缩液压缸作用的伸缩臂之欧拉临界力大于阶梯柱模型的欧拉临界力。
Crane telescopic boom usually consists of multi-stage sleeve section with different cross-sectional dimensions, which is driven by the built-in hydraulic cylinder to bear the axial force. The telescopic boom itself does not directly bear the axial force and therefore should not be calculated by the stepped column model Its overall stability. A multi-section telescopic boom stability analysis model involving the support of telescopic hydraulic cylinder is established. The corresponding analytical expression of Euler’s critical force is given and compared with the solution of the stepped cylinder model. The comparison results show that the Euler threshold of the telescopic arm involved in the telescopic cylinder is greater than the Euler threshold of the stepped cylinder model under the condition that the cylinder is not destabilized first.