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基于遞階混合有限元的滾珠絲杠驅(qū)動(dòng)系統(tǒng)建模方法

發(fā)布時(shí)間:2018-11-28 16:55
【摘要】:高效、低成本、精密滾珠絲杠驅(qū)動(dòng)技術(shù)是先進(jìn)高端裝備制造中最具附加價(jià)值、最有前途的發(fā)展領(lǐng)域之一,它將為21世紀(jì)中國(guó)制造業(yè)的發(fā)展帶來(lái)重大的經(jīng)濟(jì)利益和社會(huì)價(jià)值。然而,如何精準(zhǔn)地構(gòu)建滾珠絲杠驅(qū)動(dòng)系統(tǒng)的動(dòng)力學(xué)模型,進(jìn)而顯著地提升系統(tǒng)工作效率,就成為精密驅(qū)動(dòng)技術(shù)研究的熱點(diǎn)和關(guān)鍵問(wèn)題。據(jù)此,本文在前人的工作基礎(chǔ)之上,研究滾珠絲杠驅(qū)動(dòng)系統(tǒng)的動(dòng)力學(xué)行為及其優(yōu)化設(shè)計(jì)方法,為提升驅(qū)動(dòng)系統(tǒng)高階動(dòng)態(tài)特性的預(yù)測(cè)精度提供參考,具有重要的理論價(jià)值及工程應(yīng)用前景。依據(jù)實(shí)際滾珠絲杠驅(qū)動(dòng)系統(tǒng)的工作特點(diǎn),以顯著提升計(jì)算精度并降低計(jì)算成本為目標(biāo),在傳統(tǒng)混合有限元建模方法的基礎(chǔ)上,引入由Legendre多項(xiàng)式推導(dǎo)獲得的遞階形函數(shù),構(gòu)建了滾珠絲杠驅(qū)動(dòng)系統(tǒng)的遞階混合有限元模型。通過(guò)理論計(jì)算與實(shí)驗(yàn)的對(duì)比分析,證實(shí)了本文所提出方法的有效性與可行性。考慮到滾珠絲杠驅(qū)動(dòng)系統(tǒng)是一個(gè)典型的多部件連續(xù)裝配體,運(yùn)用遞階混合有限元方法,探明了從單個(gè)絲杠到驅(qū)動(dòng)工作臺(tái)的裝配過(guò)程對(duì)系統(tǒng)動(dòng)態(tài)頻響的影響規(guī)律,使得絲杠、絲母及聯(lián)軸器等局部關(guān)鍵部件設(shè)計(jì)信息融入進(jìn)滾珠絲杠驅(qū)動(dòng)系統(tǒng)動(dòng)力學(xué)方程,從而為復(fù)雜驅(qū)動(dòng)裝備的動(dòng)力學(xué)設(shè)計(jì)與預(yù)測(cè)提供理論分析手段。為了降低驅(qū)動(dòng)系統(tǒng)動(dòng)態(tài)振動(dòng)的耦合效應(yīng),依據(jù)絲母接觸面剛度的分布特點(diǎn),并以最小變形響應(yīng)為目標(biāo),構(gòu)建了驅(qū)動(dòng)系統(tǒng)參數(shù)的優(yōu)化設(shè)計(jì)函數(shù)。以此為基礎(chǔ),確定了絲母進(jìn)出角與絲杠變形振動(dòng)之間的關(guān)聯(lián)關(guān)系及相應(yīng)的設(shè)計(jì)準(zhǔn)則,進(jìn)而達(dá)到在不增加滾珠絲杠直徑的前提下有效提升驅(qū)動(dòng)系統(tǒng)抑制彎曲振動(dòng)的能力。
[Abstract]:High efficiency, low cost and precision ball screw drive technology is one of the most valuable and promising development fields in advanced high-end equipment manufacturing. It will bring great economic benefits and social value to the development of Chinese manufacturing industry in the 21st century. However, how to accurately construct the dynamic model of the ball screw drive system and improve the working efficiency of the system has become a hot and key issue in the research of precision drive technology. Therefore, on the basis of previous work, this paper studies the dynamic behavior of ball screw drive system and its optimization design method, which provides a reference for improving the prediction accuracy of high-order dynamic characteristics of the drive system. It has important theoretical value and engineering application prospect. According to the working characteristics of the actual ball screw drive system, aiming at improving the calculation accuracy and reducing the calculation cost, the hierarchical function derived from the Legendre polynomial is introduced on the basis of the traditional hybrid finite element modeling method. The hierarchical hybrid finite element model of ball screw drive system is constructed. The validity and feasibility of the proposed method are verified by comparison of theoretical calculation and experimental results. Considering that the ball screw drive system is a typical multi-component continuous assembly, the influence of the assembly process from a single lead screw to the driving table on the dynamic frequency response of the system is investigated by using the hierarchical hybrid finite element method. The design information of the local key components such as wire mother and coupling is integrated into the dynamic equation of the ball screw drive system, which provides a theoretical analysis means for the dynamic design and prediction of complex driving equipment. In order to reduce the coupling effect of the dynamic vibration of the drive system, the optimal design function of the parameters of the drive system is constructed according to the distribution characteristics of the stiffness of the contact surface of the wire bar and the objective of the minimum deformation response. On this basis, the relationship between the inlet and outlet angle of the wire mother and the deformation vibration of the lead screw and the corresponding design criteria are determined, so that the ability of the drive system to suppress the bending vibration can be effectively enhanced without increasing the diameter of the ball screw.
【學(xué)位授予單位】:西安理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TG659

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