基于三阶龙格库塔法的铣削稳定性半解析法预测
发布时间：2018-12-15 04:00
【摘要】：针对使用再生颤振理论建立的铣削动力学模型,提出了一种基于三阶龙格库塔法用于预测铣削稳定性的半解析方法。首先,以状态空间方程的形式表示动力学微分方程;其次,利用三阶龙格库塔法推导出传递矩阵;最后利用Floquet理论判断特定切削状态下的稳定性,进而获得铣削稳定性叶瓣图。通过与半离散法的仿真结果进行对比发现,基于三阶龙格库塔法的铣削稳定性求解方法具有更高的预测精度和计算效率。
[Abstract]:Based on the dynamic model of milling based on regenerative flutter theory, a semi-analytical method based on third-order Runge-Kutta method is proposed to predict milling stability. First, the dynamic differential equation is expressed in the form of the state space equation; secondly, the transfer matrix is derived by using the third order Runge-Kutta method; finally, the stability of the milling stability is judged by the Floquet theory, and the stable leaf lobe graph of milling is obtained. By comparing with the simulation results of semi-discrete method, it is found that the method based on the third-order Runge-Kutta method has higher prediction accuracy and computational efficiency.
【作者单位】： 湖南工业大学机械工程学院;
【基金】：国家自然科学基金资助项目(51375160,51375161) 国家科技重大专项资助项目(2012ZX04011-011)
【分类号】：TG54
本文编号：2379932
[Abstract]:Based on the dynamic model of milling based on regenerative flutter theory, a semi-analytical method based on third-order Runge-Kutta method is proposed to predict milling stability. First, the dynamic differential equation is expressed in the form of the state space equation; secondly, the transfer matrix is derived by using the third order Runge-Kutta method; finally, the stability of the milling stability is judged by the Floquet theory, and the stable leaf lobe graph of milling is obtained. By comparing with the simulation results of semi-discrete method, it is found that the method based on the third-order Runge-Kutta method has higher prediction accuracy and computational efficiency.
【作者单位】： 湖南工业大学机械工程学院;
【基金】：国家自然科学基金资助项目(51375160,51375161) 国家科技重大专项资助项目(2012ZX04011-011)
【分类号】：TG54
【相似文献】
相关硕士学位论文 前3条
1 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
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 Okbamichael Ghebremeskel Desta;[D];中南大学;2012年
，本文编号：2379932
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