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基于遞階混合有限元的滾珠絲杠驅動系統(tǒng)建模方法

發(fā)布時間:2018-11-28 16:55
【摘要】:高效、低成本、精密滾珠絲杠驅動技術是先進高端裝備制造中最具附加價值、最有前途的發(fā)展領域之一,它將為21世紀中國制造業(yè)的發(fā)展帶來重大的經(jīng)濟利益和社會價值。然而,如何精準地構建滾珠絲杠驅動系統(tǒng)的動力學模型,進而顯著地提升系統(tǒng)工作效率,就成為精密驅動技術研究的熱點和關鍵問題。據(jù)此,本文在前人的工作基礎之上,研究滾珠絲杠驅動系統(tǒng)的動力學行為及其優(yōu)化設計方法,為提升驅動系統(tǒng)高階動態(tài)特性的預測精度提供參考,具有重要的理論價值及工程應用前景。依據(jù)實際滾珠絲杠驅動系統(tǒng)的工作特點,以顯著提升計算精度并降低計算成本為目標,在傳統(tǒng)混合有限元建模方法的基礎上,引入由Legendre多項式推導獲得的遞階形函數(shù),構建了滾珠絲杠驅動系統(tǒng)的遞階混合有限元模型。通過理論計算與實驗的對比分析,證實了本文所提出方法的有效性與可行性?紤]到滾珠絲杠驅動系統(tǒng)是一個典型的多部件連續(xù)裝配體,運用遞階混合有限元方法,探明了從單個絲杠到驅動工作臺的裝配過程對系統(tǒng)動態(tài)頻響的影響規(guī)律,使得絲杠、絲母及聯(lián)軸器等局部關鍵部件設計信息融入進滾珠絲杠驅動系統(tǒng)動力學方程,從而為復雜驅動裝備的動力學設計與預測提供理論分析手段。為了降低驅動系統(tǒng)動態(tài)振動的耦合效應,依據(jù)絲母接觸面剛度的分布特點,并以最小變形響應為目標,構建了驅動系統(tǒng)參數(shù)的優(yōu)化設計函數(shù)。以此為基礎,確定了絲母進出角與絲杠變形振動之間的關聯(lián)關系及相應的設計準則,進而達到在不增加滾珠絲杠直徑的前提下有效提升驅動系統(tǒng)抑制彎曲振動的能力。
[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.
【學位授予單位】:西安理工大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:TG659

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