基于三阶龙格库塔法的铣削过程稳定性预测及应用
发布时间：2018-09-04 15:00
【摘要】：高效铣削作为一种先进制造技术被日益广泛地应用于航空航天、轨道交通和汽车制造等领域。通过对铣削过程进行动力学建模,对切削过程中的相关物理量进行预测,进而可通过切削参数优化来实现无颤振高效切削,其中切削颤振的预测最为关键。通常认为切削厚度的再生效应是引起切削颤振的主要原因,通过对切削机理进行深入研究,分析刀具的受力情况,建立动力学模型,运用合适的求解算法,进而获得稳定性叶瓣图以指导实际生产。本文主要针对现有颤振稳定性模型,提出了一种新的求解算法,同时探讨了该算法的具体应用。首先,针对解析算法难以处理非线性稳定性问题且半离散算法计算效率低下,本文借鉴半离散算法的思想,提出了求解铣削稳定性叶瓣图的三阶龙格库塔法。为了提高预测效率,在对轴向切深进行迭代时,采用二分法来取代常规的顺序搜索法。基于MATLAB平台,开发了相应的仿真程序,实现了稳定性叶瓣图的快速预测。其次,基于开发的三阶龙格库塔法铣削稳定性仿真程序,实现了变主轴转速铣削稳定性叶瓣图的预测,在变主轴转速铣削稳定性模型中,主轴转速采用正弦变化规律。对比变主轴转速和恒主轴转速铣削稳定性叶瓣图的仿真结果发现,变主轴转速更能有效地抑制颤振。最后,进行了锤击试验及切削力系数辨识试验,获得了颤振稳定性仿真所需的加工系统模态参数及切削力系数,针对仿真结果进行了颤振验证实验,对文中所提出的求解算法及仿真程序的正确性进行了验证。
[Abstract]:As an advanced manufacturing technology, efficient milling is increasingly widely used in aerospace, rail transit and automobile manufacturing fields. Based on the dynamic modeling of milling process, the related physical quantities in cutting process are predicted, and the cutting parameters can be optimized to realize flutter free and efficient cutting, among which the prediction of cutting chatter is the most important. It is generally believed that the regenerative effect of cutting thickness is the main cause of cutting chatter. The cutting mechanism is deeply studied, the force of the cutting tool is analyzed, the dynamic model is established, and the appropriate solution algorithm is used. Then the stable leaf valve diagram is obtained to guide the practical production. In this paper, a new algorithm for flutter stability model is proposed and its application is discussed. Firstly, in view of the difficulty of solving nonlinear stability problems and the inefficiency of semi-discrete algorithm, this paper proposes a third-order Runge-Kutta method to solve the stable leaflet map of milling process based on the idea of semi-discrete algorithm. In order to improve the prediction efficiency, the conventional sequential search method is replaced by the dichotomy method when the axial tangent depth is iterated. Based on the MATLAB platform, the corresponding simulation program is developed, and the fast prediction of the stable leaflet diagram is realized. Secondly, based on the third order Runge-Kutta method milling stability simulation program, the prediction of variable spindle speed milling stability vanes diagram is realized. In the variable spindle speed milling stability model, the spindle speed adopts the law of sinusoidal variation. Compared with the simulation results of variable spindle speed and constant spindle speed milling stability flaps, it is found that variable spindle speed is more effective in reducing flutter. Finally, hammering test and cutting force coefficient identification test are carried out, modal parameters and cutting force coefficients of machining system for flutter stability simulation are obtained, and flutter verification experiments are carried out against the simulation results. The correctness of the proposed algorithm and the simulation program are verified.
【学位授予单位】：湖南工业大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TG54
本文编号：2222509
[Abstract]:As an advanced manufacturing technology, efficient milling is increasingly widely used in aerospace, rail transit and automobile manufacturing fields. Based on the dynamic modeling of milling process, the related physical quantities in cutting process are predicted, and the cutting parameters can be optimized to realize flutter free and efficient cutting, among which the prediction of cutting chatter is the most important. It is generally believed that the regenerative effect of cutting thickness is the main cause of cutting chatter. The cutting mechanism is deeply studied, the force of the cutting tool is analyzed, the dynamic model is established, and the appropriate solution algorithm is used. Then the stable leaf valve diagram is obtained to guide the practical production. In this paper, a new algorithm for flutter stability model is proposed and its application is discussed. Firstly, in view of the difficulty of solving nonlinear stability problems and the inefficiency of semi-discrete algorithm, this paper proposes a third-order Runge-Kutta method to solve the stable leaflet map of milling process based on the idea of semi-discrete algorithm. In order to improve the prediction efficiency, the conventional sequential search method is replaced by the dichotomy method when the axial tangent depth is iterated. Based on the MATLAB platform, the corresponding simulation program is developed, and the fast prediction of the stable leaflet diagram is realized. Secondly, based on the third order Runge-Kutta method milling stability simulation program, the prediction of variable spindle speed milling stability vanes diagram is realized. In the variable spindle speed milling stability model, the spindle speed adopts the law of sinusoidal variation. Compared with the simulation results of variable spindle speed and constant spindle speed milling stability flaps, it is found that variable spindle speed is more effective in reducing flutter. Finally, hammering test and cutting force coefficient identification test are carried out, modal parameters and cutting force coefficients of machining system for flutter stability simulation are obtained, and flutter verification experiments are carried out against the simulation results. The correctness of the proposed algorithm and the simulation program are verified.
【学位授予单位】：湖南工业大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TG54
【相似文献】
相关硕士学位论文 前4条
1 彭岳荣;基于三阶龙格库塔法的铣削过程稳定性预测及应用[D];湖南工业大学;2016年
2 刘文杰;谱方法和隐式龙格库塔法求解二维薛定谔方程[D];哈尔滨工业大学;2012年
3 杨阳;龙格库塔法求模糊微分方程的数值解[D];哈尔滨工业大学;2015年
4 Okbamichael Ghebremeskel Desta;[D];中南大学;2012年
，本文编号：2222509
本文链接：https://www.wllwen.com/kejilunwen/jiagonggongyi/2222509.html
