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高強(qiáng)度人字齒行星傳動(dòng)系統(tǒng)優(yōu)化設(shè)計(jì)

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  本文選題:行星傳動(dòng)系統(tǒng) 切入點(diǎn):人字齒 出處:《安徽理工大學(xué)》2012年碩士論文 論文類型:學(xué)位論文


【摘要】:人字齒行星傳動(dòng)系統(tǒng)作為主要應(yīng)用在高速、重載機(jī)構(gòu)中的一種傳動(dòng)部件,具有傳動(dòng)可靠、運(yùn)轉(zhuǎn)平穩(wěn)的優(yōu)點(diǎn),其結(jié)構(gòu)的優(yōu)劣直接影響到設(shè)備的性能。開展人字齒行星傳動(dòng)系統(tǒng)結(jié)構(gòu)的優(yōu)化設(shè)計(jì)和齒輪強(qiáng)度規(guī)律的研究,對優(yōu)化結(jié)構(gòu)尺寸、減輕齒輪重量及提高人字齒強(qiáng)度有重要的理論和現(xiàn)實(shí)意義。 按照行星傳動(dòng)理論設(shè)計(jì)了人字齒行星傳動(dòng)系統(tǒng)優(yōu)化設(shè)計(jì)數(shù)學(xué)模型:選取了模數(shù)、行星輪各輪的齒數(shù)和變位系數(shù)、螺旋角、齒寬系數(shù)共九個(gè)設(shè)計(jì)變量;分別建立了以實(shí)際中心距最小、齒輪總重量最輕為單目標(biāo),以實(shí)際中心距最小且齒輪總重量最輕為多目標(biāo)的優(yōu)化設(shè)計(jì)目標(biāo)函數(shù);確定了各種等式和不等式的約束條件。 由于進(jìn)行人字齒行星傳動(dòng)系統(tǒng)優(yōu)化設(shè)計(jì)齒輪強(qiáng)度計(jì)算非常復(fù)雜,而且采用單一的優(yōu)化設(shè)計(jì)方法難以獲得理想的結(jié)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(shè)計(jì)了采用遺傳優(yōu)化算法和序列二次規(guī)劃法相結(jié)合的混合優(yōu)化設(shè)計(jì)方法。首先,利用遺傳優(yōu)化算法進(jìn)行優(yōu)化設(shè)計(jì),得到的優(yōu)化設(shè)計(jì)變量結(jié)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(jìn)行優(yōu)化設(shè)計(jì),進(jìn)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(dòng)系統(tǒng)優(yōu)化設(shè)計(jì)數(shù)學(xué)模型的基礎(chǔ)上,設(shè)計(jì)開發(fā)了人字齒行星傳動(dòng)系統(tǒng)優(yōu)化設(shè)計(jì)軟件。本文結(jié)合優(yōu)化實(shí)例進(jìn)行了優(yōu)化設(shè)計(jì),得出了分別以實(shí)際中心距最小和齒輪總重量最輕為單目標(biāo),以實(shí)際中心距最小且齒輪總重量最輕為多目標(biāo)的優(yōu)化設(shè)計(jì)結(jié)果,并對不同的優(yōu)化設(shè)計(jì)結(jié)果進(jìn)行了比較、分析。按照本文的混合優(yōu)化設(shè)計(jì)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(shè)計(jì)目標(biāo)結(jié)果要理想的多。 為更好地設(shè)計(jì)出高強(qiáng)度人字齒輪行星傳動(dòng)系統(tǒng),本文在人字齒行星傳動(dòng)系統(tǒng)優(yōu)化設(shè)計(jì)軟件中設(shè)計(jì)開發(fā)了人字齒行星傳動(dòng)系統(tǒng)強(qiáng)度計(jì)算模塊,研究了齒形參數(shù)對人字齒行星傳動(dòng)系統(tǒng)強(qiáng)度的影響。通過計(jì)算得出的齒頂高系數(shù)、頂隙系數(shù)和螺旋角與人字齒行星傳動(dòng)系統(tǒng)接觸強(qiáng)度安全系數(shù)、彎曲強(qiáng)度安全系數(shù)和膠合承載能力安全系數(shù)的關(guān)系圖,總結(jié)出齒形參數(shù)對系統(tǒng)三大強(qiáng)度安全系數(shù)的影響規(guī)律,為高強(qiáng)度人字齒輪行星傳動(dòng)系統(tǒng)的設(shè)計(jì)提供理論依據(jù)。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(xué)位授予單位】:安徽理工大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2012
【分類號】:TH132.425

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