Study on Decreasing Wear and Dimensional Optimization of Linkage Mechanism with Clearance Joint
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摘要: 提出了机构尺寸优化、多体动力学、磨损预测三者的集成分析框架。铰接副由非线性弹簧阻尼模型结合修正库伦摩擦力来表达,采用Archard模型结合有限元接触模型进行磨损预测,并通过广义简约梯度法实现整体优化计算,最后针对连杆机构铰接副磨损问题进行详细分析计算。结果表明构件的角加速度峰值可有效表征机构振动和磨损程度,优化后摇杆的最大加速度幅值降低了71%,机构运动平稳性大幅提升;间隙铰接副轴套低磨损区域明显扩大,最大磨损深度降幅为36%,证明了该算法对含间隙机构摩擦学优化问题的有效性。Abstract: An integrated analysis method is proposed to reduce the wear and vibration due to clearance joint of linkage mechanism by collaboratively calculating dimensional optimization and predicting wear. The clearance joint is defined contact force constraint and expressed by the nonlinear spring damping model combined with the modified Coulomb friction force. The wear prediction is performed by combing the Archard model and the finite element contact model. Wear and vibration are reduced by optimizing the link lengths of the linkage mechanism with the generalized reduced method. Detailed analysis and calculation of wear problem for exemplary four bar linkage mechanism are then presented. Results show that the angular acceleration peak can effectively characterize the vibration and wear of the mechanism. After optimization, the maximum absolute acceleration peak of the rocker is reduced by 71%, and the stability of the mechanism is greatly improved. The part of worn clearance joint experiencing low wear amount is obviously enlarged and the maximum wear depth is reduced by 36%, which proves the effectiveness of the algorithm for the tribological optimization problem for mechanism with clearance joint.
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Key words:
- clearance revolute joint /
- wear /
- multibody system /
- optimization
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表 1 四连杆机构初始参数
参数 取值 L1/mm 410 L3/mm 550 m1/kg 2.808 m2/kg 2.881 m3/kg 3.937 θ·1/(r·min-1) 300 L2/mm 400 L3/mm 240 J1/(kg·m2) 0.049 93 J2/(kg·m2) 0.057 54 J3/(kg·m2) 0.140 92 θ1(0)/(°) 90 表 2 间隙铰的材料参数
参数 取值 杨氏模量 207 GPa 恢复系数 0.9 摩擦系数 0.1 磨损系数 5.05×10-4mm2/(N·m) 表 3 各杆长度的取值范围
L1/mm L2/mm L3/mm L4/mm Min 300 300 500 150 Max 500 510 600 300 表 4 机构优化结果
初始参数 优化后参数 L1/mm 410 345.03 L2/mm 400 418.92 L3/mm 550 576.89 L4/mm 240 192.13 目标函数/(°·s-2) 72 005.63 21 115.71 最大磨损量mm(曲柄105转) 9.5×10-4 6.2×10-4 -
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