基于三階龍格庫塔法的銑削過程穩(wěn)定性預測及應用
發(fā)布時間:2018-09-04 15:00
【摘要】:高效銑削作為一種先進制造技術被日益廣泛地應用于航空航天、軌道交通和汽車制造等領域。通過對銑削過程進行動力學建模,對切削過程中的相關物理量進行預測,進而可通過切削參數優(yōu)化來實現無顫振高效切削,其中切削顫振的預測最為關鍵。通常認為切削厚度的再生效應是引起切削顫振的主要原因,通過對切削機理進行深入研究,分析刀具的受力情況,建立動力學模型,運用合適的求解算法,進而獲得穩(wěn)定性葉瓣圖以指導實際生產。本文主要針對現有顫振穩(wěn)定性模型,提出了一種新的求解算法,同時探討了該算法的具體應用。首先,針對解析算法難以處理非線性穩(wěn)定性問題且半離散算法計算效率低下,本文借鑒半離散算法的思想,提出了求解銑削穩(wěn)定性葉瓣圖的三階龍格庫塔法。為了提高預測效率,在對軸向切深進行迭代時,采用二分法來取代常規(guī)的順序搜索法;贛ATLAB平臺,開發(fā)了相應的仿真程序,實現了穩(wěn)定性葉瓣圖的快速預測。其次,基于開發(fā)的三階龍格庫塔法銑削穩(wěn)定性仿真程序,實現了變主軸轉速銑削穩(wěn)定性葉瓣圖的預測,在變主軸轉速銑削穩(wěn)定性模型中,主軸轉速采用正弦變化規(guī)律。對比變主軸轉速和恒主軸轉速銑削穩(wěn)定性葉瓣圖的仿真結果發(fā)現,變主軸轉速更能有效地抑制顫振。最后,進行了錘擊試驗及切削力系數辨識試驗,獲得了顫振穩(wěn)定性仿真所需的加工系統(tǒng)模態(tài)參數及切削力系數,針對仿真結果進行了顫振驗證實驗,對文中所提出的求解算法及仿真程序的正確性進行了驗證。
[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.
【學位授予單位】:湖南工業(yè)大學
【學位級別】:碩士
【學位授予年份】:2016
【分類號】:TG54
本文編號: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.
【學位授予單位】:湖南工業(yè)大學
【學位級別】:碩士
【學位授予年份】:2016
【分類號】:TG54
【相似文獻】
相關碩士學位論文 前4條
1 彭岳榮;基于三階龍格庫塔法的銑削過程穩(wěn)定性預測及應用[D];湖南工業(yè)大學;2016年
2 劉文杰;譜方法和隱式龍格庫塔法求解二維薛定諤方程[D];哈爾濱工業(yè)大學;2012年
3 楊陽;龍格庫塔法求模糊微分方程的數值解[D];哈爾濱工業(yè)大學;2015年
4 Okbamichael Ghebremeskel Desta;[D];中南大學;2012年
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