基于三階龍格庫(kù)塔法的銑削過(guò)程穩(wěn)定性預(yù)測(cè)及應(yīng)用
發(fā)布時(shí)間:2018-09-04 15:00
【摘要】:高效銑削作為一種先進(jìn)制造技術(shù)被日益廣泛地應(yīng)用于航空航天、軌道交通和汽車制造等領(lǐng)域。通過(guò)對(duì)銑削過(guò)程進(jìn)行動(dòng)力學(xué)建模,對(duì)切削過(guò)程中的相關(guān)物理量進(jìn)行預(yù)測(cè),進(jìn)而可通過(guò)切削參數(shù)優(yōu)化來(lái)實(shí)現(xiàn)無(wú)顫振高效切削,其中切削顫振的預(yù)測(cè)最為關(guān)鍵。通常認(rèn)為切削厚度的再生效應(yīng)是引起切削顫振的主要原因,通過(guò)對(duì)切削機(jī)理進(jìn)行深入研究,分析刀具的受力情況,建立動(dòng)力學(xué)模型,運(yùn)用合適的求解算法,進(jìn)而獲得穩(wěn)定性葉瓣圖以指導(dǎo)實(shí)際生產(chǎn)。本文主要針對(duì)現(xiàn)有顫振穩(wěn)定性模型,提出了一種新的求解算法,同時(shí)探討了該算法的具體應(yīng)用。首先,針對(duì)解析算法難以處理非線性穩(wěn)定性問(wèn)題且半離散算法計(jì)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(kù)塔法。為了提高預(yù)測(cè)效率,在對(duì)軸向切深進(jìn)行迭代時(shí),采用二分法來(lái)取代常規(guī)的順序搜索法。基于MATLAB平臺(tái),開發(fā)了相應(yīng)的仿真程序,實(shí)現(xiàn)了穩(wěn)定性葉瓣圖的快速預(yù)測(cè)。其次,基于開發(fā)的三階龍格庫(kù)塔法銑削穩(wěn)定性仿真程序,實(shí)現(xiàn)了變主軸轉(zhuǎn)速銑削穩(wěn)定性葉瓣圖的預(yù)測(cè),在變主軸轉(zhuǎn)速銑削穩(wěn)定性模型中,主軸轉(zhuǎn)速采用正弦變化規(guī)律。對(duì)比變主軸轉(zhuǎn)速和恒主軸轉(zhuǎn)速銑削穩(wěn)定性葉瓣圖的仿真結(jié)果發(fā)現(xiàn),變主軸轉(zhuǎn)速更能有效地抑制顫振。最后,進(jìn)行了錘擊試驗(yàn)及切削力系數(shù)辨識(shí)試驗(yàn),獲得了顫振穩(wěn)定性仿真所需的加工系統(tǒng)模態(tài)參數(shù)及切削力系數(shù),針對(duì)仿真結(jié)果進(jìn)行了顫振驗(yàn)證實(shí)驗(yàn),對(duì)文中所提出的求解算法及仿真程序的正確性進(jìn)行了驗(yàn)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(xué)位授予單位】:湖南工業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2016
【分類號(hào)】:TG54
本文編號(hào):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(xué)位授予單位】:湖南工業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2016
【分類號(hào)】:TG54
【相似文獻(xiàn)】
相關(guān)碩士學(xué)位論文 前4條
1 彭岳榮;基于三階龍格庫(kù)塔法的銑削過(guò)程穩(wěn)定性預(yù)測(cè)及應(yīng)用[D];湖南工業(yè)大學(xué);2016年
2 劉文杰;譜方法和隱式龍格庫(kù)塔法求解二維薛定諤方程[D];哈爾濱工業(yè)大學(xué);2012年
3 楊陽(yáng);龍格庫(kù)塔法求模糊微分方程的數(shù)值解[D];哈爾濱工業(yè)大學(xué);2015年
4 Okbamichael Ghebremeskel Desta;[D];中南大學(xué);2012年
,本文編號(hào):2222509
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