一种混凝土泵车臂架多姿态固有频率的数值算法

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (11) : 184-188.

论文

一种混凝土泵车臂架多姿态固有频率的数值算法

张赵威1，吴运新1,2，任武1

作者信息 +

A numerical algorithm of mobile concrete truck boom natural frequency of postures

ZHANG Zhao-wei1, WU Yun-xin1,2, REN Wu1

Author information +

文章历史 +

摘要

为方便快速计算泵车臂架任意姿态的固有频率，提出一种数值算法。首先基于传递矩阵法建立臂架力学模型，以快速计算其任意固定姿态的固有频率，并分析其结果的准确性；而后由大量姿态的位置及频率值，数值拟合出一个频率关于姿态的回归计算公式。对比力学模型，有限元模型，以及回归公式的计算结果。结果表明该计算公式在保证计算精度的情况下可以极大地减小计算量，缩短计算时间，同时验证了多元函数的混合拟合方法的可行性。从而对臂架动力性能分析，实时监测具有参考价值，同时对于其他学科该拟合方法也具有参考意义。

Abstract

To get the boom’s natural frequency on each posture easily and quickly, a numerical algorithm is proposed. Firstly, a mechanical model of the boom should be built based on TMM (Transfer Matrix Method) to calculate the natural frequency of each posture quickly; then a regression formula could be numerically fitted with a lot of postures and its natural frequencies. Through the comparison between the result of mechanical model and FEM model on ANSYS, and the result of regression formula, it is found that the formula can reduce the amount of calculation and the computing time greatly with the calculation accuracy ensured. What’s more, the fitting method on multi-function is proved to be feasible; therefore, this method would have a reference value on the boom’s dynamic research and its real-time monitoring, at the same time it will also shine some light on the fitting method of other subjects.

导出引用

张赵威;吴运新;任武. 一种混凝土泵车臂架多姿态固有频率的数值算法[J]. 振动与冲击, 2014, 33(11): 184-188

ZHANG Zhao-wei;WU Yun-xin;REN Wu. A numerical algorithm of mobile concrete truck boom natural frequency of postures[J]. Journal of Vibration and Shock, 2014, 33(11): 184-188