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可扩展近休止角的高速傅里叶级数凸轮设计方法
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Design Method of High-speed Fourier Cam with Extensible Near-rest Angle
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    摘要:

    傅里叶级数凸轮的通用设计方法能够求解的近休止区间较小,收敛性较差. 针对以上不足,提出一种可扩展近休止角的高速傅里叶级数凸轮的改进设计方法. 通过引入近休止角函数,求解凸轮任意近休止角的位移方程,推导出从动件的速度、加速度、跃度和跳度方程. 基于凸轮特征参数和轮廓曲线数据,建立傅里叶级数凸轮三维模型. 与通用设计方法对比,验证改进设计方法的正确性,并对影响凸轮机构运动特性的转速和推杆升程进行分析. 研究结果表明,改进设计方法的凸轮近休止角范围较大,廓线计算收敛性好,冲击力小. 随近休止期区间、凸轮轴转速与推杆升程的增大,从动件速度、加速度峰值增大. 改进设计方法可减小高速凸轮机构的振动与冲击,提高传动精度.

    Abstract:

    The universal design method of the Fourier series follower cam has a narrow application range to solve the near-rest interval and poor iterative convergence. In this work, an improved extensible near-rest angle high-speed Fourier cam design method is proposed. With the introduction of the function of angles in the near-rest interval, the general near-rest displacement equation of Fourier cam is solved. The velocity, acceleration equation, jerk, and jump of the follower are solved by successive derivation. Based on the cam feature parameters and profile curve data, the Fourier cam 3D model was established. The improved Fourier cam design method is verified by comparing it with the universal algorithm. The camshaft speed and push rod lift affecting the kinematic characteristic of the cam are investigated. The results indicate that the proposed model has a wide range of applications, excellent iterative convergence to solve the cam profile,and a small impact force. As the near-rest interval, camshaft speed, and push rod lift increase, the maximal velocity and acceleration of the follower increase. The proposed model is of guiding significance to reduce the vibration of the high-speed cam mechanism and improve the working precision of transmission.

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周长江 ?,蒋兴和 ,王海航 ,刘辉华 .可扩展近休止角的高速傅里叶级数凸轮设计方法[J].湖南大学学报:自然科学版,2022,49(12):11~19

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  • 在线发布日期: 2023-01-02
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