特种起重机伸缩臂振动特性建模分析与试验

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (22) : 169-175.

论文

特种起重机伸缩臂振动特性建模分析与试验

杜文正，张金星，姚晓光，谢政，马长林

作者信息 +

Mathematic Vibration Model and Experiment of Special Telescopic Boom Crane

DU Wen-zheng, ZHANG Jin-xing, YAO Xiao-guang, XIE Zheng, MA Chang-lin

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文章历史 +

摘要

为研究某新型特种起重机作业过程中伸缩臂带载伸展时的振动特性，将伸缩臂等效为固定支撑的阶梯式变截面悬臂梁和进行伸展运动的变长度悬臂梁。基于梁振动的微分方程与模态叠加理论建立了伸缩臂带载伸展时臂架振动的数学模型。采用Rayleigh-Ritz法，结合梁的边界条件得到了各级臂振动的固有频率和在等效冲击载荷作用下臂端的坐标响应，进而得到振动位移曲线。对理论结果分析可知，伸缩臂的自身臂架结构和伸展速度是影响臂节振动的主要因素，臂节刚度越小、伸展速度越快，臂架振动位移越大。依托改装后的HIAB-033T型起重臂为试验平台进行试验研究，试验结果与理论结果基本一致，验证了理论分析的正确性。

Abstract

To research on the vibration of the special telescopic boom crane stretching with payload，the telescopic boom was equivalent to a fixed cantilevered beam with multiple steps and a stretching beam with varying length. Based on the equation of the beam’s vibration and the theory of modal superposition, the mathematic vibration model of the special telescopic boom crane was established. Using the Rayleigh-Ritz method, the natural frequency of the transverse vibration was calculated according to the boundary conditions, the response of the generalized coordinates of each joint arm was derived, and the deformations curves was then obtained. The analysis of the theoretical results show that the stiffness of the beam and the stretching speed is the main factors influencing the vibration of the beam, the smaller of the stiffness and the faster of the speed, the larger of the deformations. The experiment was done through the remoulding of the HIAB-033T boom, and the experiment results was consistent with the theoretical results, which verified the correctness of the mathematic vibration.

导出引用

杜文正，张金星，姚晓光，谢政，马长林. 特种起重机伸缩臂振动特性建模分析与试验[J]. 振动与冲击, 2016, 35(22): 169-175

DU Wen-zheng, ZHANG Jin-xing, YAO Xiao-guang, XIE Zheng, MA Chang-lin. Mathematic Vibration Model and Experiment of Special Telescopic Boom Crane[J]. Journal of Vibration and Shock, 2016, 35(22): 169-175

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