动力减振镗杆系统动力学建模及参数辨识方法研究

Research on dynamic modeling and parameter identification method of dynamic damping boring bar system

  • 摘要: 为研究深孔切削过程中动力减振镗杆的振动特性,设计出具有最优减振效果的镗杆结构,需要建立具有较高准确性的镗杆系统动力学模型。首先将镗杆视为非等截面柔性梁,采用多刚体离散法将镗杆离散为有限段空间振动刚体,各段刚体间采用空间弹性铰联接,采用阻尼器等效阻尼油的阻尼特性,建立一种由空间振动刚体、空间弹性铰及阻尼器组成的多刚体动力学模型,基于Newton-Euler法构建系统动力学方程,采用Newmark-\beta 法求解位移、速度和加速度响应。然后,考虑到数学模型中部分参数未知的情况,基于锤击试验加速度响应,在频域内采用遗传算法对未知参数进行辨识,获得具有完整参数的减振镗杆系统动力学模型。最后,基于激振器试验测试响应与理论模型响应的对比进一步验证了数学模型的准确性。

     

    Abstract: To investigate the vibration characteristics of a dynamic vibration-absorbing boring bar in deep-hole machining and optimize its damping performance, it is essential to establish a high-precision dynamic model of the boring bar system. Firstly, the boring bar was treated as a flexible beam with non-uniform cross-sections and discretized into multiple rigid-body segments using the multi-rigid-body discretization method. These segments were interconnected via spatial elastic hinges and dampers, forming a coupled multi-rigid-body dynamic model. The system’s dynamic equations were derived based on the Newton-Euler method, and the displacement, velocity, and acceleration responses were solved using the Newmark-β method. Furthermore, to address the issue of unknown parameters in the model, a genetic algorithm was employed in the frequency domain to identify the undetermined parameters based on the acceleration response obtained from impact hammer tests, thereby obtaining a complete dynamic model of the vibration-absorbing boring bar. Finally, the accuracy of the proposed model is validated by comparing the experimental data from exciter tests with the theoretical simulation results.

     

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