高強度人字齒行星傳動系統(tǒng)優(yōu)化設計
本文選題:行星傳動系統(tǒng) 切入點:人字齒 出處:《安徽理工大學》2012年碩士論文 論文類型:學位論文
【摘要】:人字齒行星傳動系統(tǒng)作為主要應用在高速、重載機構中的一種傳動部件,具有傳動可靠、運轉平穩(wěn)的優(yōu)點,其結構的優(yōu)劣直接影響到設備的性能。開展人字齒行星傳動系統(tǒng)結構的優(yōu)化設計和齒輪強度規(guī)律的研究,對優(yōu)化結構尺寸、減輕齒輪重量及提高人字齒強度有重要的理論和現實意義。 按照行星傳動理論設計了人字齒行星傳動系統(tǒng)優(yōu)化設計數學模型:選取了模數、行星輪各輪的齒數和變位系數、螺旋角、齒寬系數共九個設計變量;分別建立了以實際中心距最小、齒輪總重量最輕為單目標,以實際中心距最小且齒輪總重量最輕為多目標的優(yōu)化設計目標函數;確定了各種等式和不等式的約束條件。 由于進行人字齒行星傳動系統(tǒng)優(yōu)化設計齒輪強度計算非常復雜,而且采用單一的優(yōu)化設計方法難以獲得理想的結果。遺傳優(yōu)化算法的優(yōu)化解是全局最優(yōu),但是求解精度不高,而序列二次規(guī)劃法的優(yōu)化解精度較高,但是只是局部最優(yōu),故本文提出并設計了采用遺傳優(yōu)化算法和序列二次規(guī)劃法相結合的混合優(yōu)化設計方法。首先,利用遺傳優(yōu)化算法進行優(yōu)化設計,得到的優(yōu)化設計變量結果作為序列二次規(guī)劃法的系統(tǒng)初始值;然后,利用序列二次規(guī)劃法進行優(yōu)化設計,進一步提高解的精度,從而獲得精度較高的全局最優(yōu)解。 在建立的人字齒行星傳動系統(tǒng)優(yōu)化設計數學模型的基礎上,設計開發(fā)了人字齒行星傳動系統(tǒng)優(yōu)化設計軟件。本文結合優(yōu)化實例進行了優(yōu)化設計,得出了分別以實際中心距最小和齒輪總重量最輕為單目標,以實際中心距最小且齒輪總重量最輕為多目標的優(yōu)化設計結果,并對不同的優(yōu)化設計結果進行了比較、分析。按照本文的混合優(yōu)化設計方法比單純的利用遺傳優(yōu)化算法或序列二次規(guī)劃法,得到的優(yōu)化設計目標結果要理想的多。 為更好地設計出高強度人字齒輪行星傳動系統(tǒng),本文在人字齒行星傳動系統(tǒng)優(yōu)化設計軟件中設計開發(fā)了人字齒行星傳動系統(tǒng)強度計算模塊,研究了齒形參數對人字齒行星傳動系統(tǒng)強度的影響。通過計算得出的齒頂高系數、頂隙系數和螺旋角與人字齒行星傳動系統(tǒng)接觸強度安全系數、彎曲強度安全系數和膠合承載能力安全系數的關系圖,總結出齒形參數對系統(tǒng)三大強度安全系數的影響規(guī)律,為高強度人字齒輪行星傳動系統(tǒng)的設計提供理論依據。圖[30]表[25]參[42]
[Abstract]:The herringbone planetary transmission system, which is mainly used in high-speed and heavy-duty mechanism, has the advantages of reliable transmission and stable operation. The advantages and disadvantages of the structure directly affect the performance of the equipment. The optimum design of the structure of the herringbone planetary transmission system and the study of the law of gear strength are carried out. It has important theoretical and practical significance to reduce gear weight and increase the strength of herringbone teeth. According to the planetary transmission theory, the mathematical model of the optimal design of the herringbone planetary transmission system is designed. Nine design variables are selected: the modulus, the tooth number and the modification coefficient, the helical angle and the tooth width coefficient of the planetary gear; The optimal design objective function with the smallest actual center distance, the lightest gear weight and the least actual center distance is established, and the constraint conditions of all kinds of equality and inequality are determined. Due to the complexity of gear strength calculation in the optimal design of the herringbone planetary transmission system, it is difficult to obtain ideal results by using a single optimization design method. The optimal solution of genetic optimization algorithm is the global optimum, but the accuracy of the solution is not high. But the accuracy of sequential quadratic programming method is high, but it is only local optimal. Therefore, a hybrid optimization method combining genetic optimization algorithm and sequential quadratic programming method is proposed and designed in this paper. Genetic optimization algorithm is used to optimize the design, and the result of optimal design is used as the initial value of the sequential quadratic programming method, and then, the optimization design is carried out by using the sequential quadratic programming method to further improve the accuracy of the solution. Thus the global optimal solution with high precision is obtained. On the basis of the mathematical model of the optimal design of the herringbone planetary transmission system, the optimal design software of the herringbone planetary transmission system is designed and developed. The optimum design results with the minimum actual center distance and the lightest total weight of the gear as the single objective, and the minimum actual center distance and the lightest total weight of the gear as the multi-objective are obtained, and the results of different optimization design are compared. Analysis. According to the hybrid optimization design method in this paper, the result is much more ideal than using genetic optimization algorithm or sequential quadratic programming method. In order to better design the high-strength herringbone gear planetary transmission system, the strength calculation module of the herringbone planetary transmission system is designed and developed in the optimization design software of the herringbone planetary transmission system. The influence of tooth shape parameters on the strength of the herringbone planetary transmission system is studied. The tooth top height coefficient, the top gap coefficient and the contact strength safety factor between the helical angle and the herringbone planetary transmission system are calculated. The relationship between the safety factor of bending strength and the safety factor of glued bearing capacity is drawn, and the influence of tooth shape parameters on the safety factor of three major strength of the system is summarized. To provide theoretical basis for the design of high strength herringbone gear planetary transmission system. Fig [30] Table [25] Ref [42]
【學位授予單位】:安徽理工大學
【學位級別】:碩士
【學位授予年份】:2012
【分類號】:TH132.425
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