基于不等分模型的差动偏心齿轮系分插机构运动分析
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江苏高校优势学科建设工程资助项目(苏财教(2011)8号)、江苏大学现代农业装备与技术省部共建实验室开放基金资助项目(NZ200608)和南方农业机械与装备关键技术重点实验室资助项目


Kinematic Analysis of Separating-transplanting Mechanism with Differential Eccentric Gear Train Based on Inequality Model
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    摘要:

    针对等分模型存在模型假设引起的转角误差问题,提出了一种准确计算偏心渐开线齿轮转角关系的不等分模型及解法。该模型校正了等分模型下配对齿工作齿廓的交叉或分离,当基准齿工作齿廓坐标点数为5000点时,啮合点搜索的坐标控制精度可达到0.001 mm,转角误差精度可达到0.001°。计算表明,转角误差随着齿轮偏心率的增大而变大,多级传动时转角误差被逐级放大。不等分模型解法可以求得偏心齿轮系分插机构齿轮盒和栽植臂准确的相对运动关系,从而得到秧爪取秧和推秧准确的位置与姿态。正、反侧从动齿轮输出转角在180°处不等于中心轮转角,使得正向侧和反向侧栽植臂的秧爪轨迹不重合,ADAMS仿真结果验证了不等分模型求解的正确性。当偏心率为0.1043时,两者的轨迹偏差不大于1.01 mm。

    Abstract:

    An inequality model was proposed to correct the intersection and separation of working contours of matching teeth under equality model, which should not take place in real eccentric involute gear transmission. When 5000 coordinate points of involutes working contours of benchmark tooth were determined to compute the inequality model, the coordinate control precision of searching meshing points can reach 0.001 mm and the angle error can reach 0.001°. Computation showed that the angle error will become bigger with the increment of gear eccentricity, and be exaggerated gradually when multistage eccentric involute gears drive. The inequality model may solve accurately relative motion relationship between gear box and planting arm, and its accurate position and posture can be obtained when seedling-claw takes seedlings from seedling box and pushes seedlings into soil. Angle values of driven gears round both sides of the center gear are not equal with driving gear angle at the 180°, which results in path misalignment of seedling-claws fixed on forward planting arm and backward planting arm. Simulation result of ADAMS software validated that the solutions of the inequality model were correct. The path error was less than 1.01 mm when gear eccentricity was 0.1043. 

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尹建军,武传宇,Yang Simon X,刘艳.基于不等分模型的差动偏心齿轮系分插机构运动分析[J].农业机械学报,2012,43(10):53-59.

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  • 在线发布日期: 2012-10-19
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