漸開線直齒輪傳動(dòng)系統(tǒng)非線性動(dòng)力學(xué)研究
本文關(guān)鍵詞:漸開線直齒輪傳動(dòng)系統(tǒng)非線性動(dòng)力學(xué)研究 出處:《北京理工大學(xué)》2015年博士論文 論文類型:學(xué)位論文
更多相關(guān)文章: 漸開線直齒輪傳動(dòng) 非線性動(dòng)力學(xué)模型 齒輪嚙合模型 非線性振動(dòng) 齒廓修形 動(dòng)態(tài)性能優(yōu)化
【摘要】:齒輪傳動(dòng)是應(yīng)用最為廣泛的機(jī)械傳動(dòng)形式之一,它在機(jī)械、航天、船舶等行業(yè)的設(shè)備中起著非常關(guān)鍵的作用。目前,齒輪傳動(dòng)系統(tǒng)的振動(dòng)與噪聲已成為影響產(chǎn)品競(jìng)爭(zhēng)力的首要因素,從而增強(qiáng)了齒輪減振降噪理論與技術(shù)研究的緊迫性。與振動(dòng)相關(guān)的齒輪傳動(dòng)系統(tǒng)動(dòng)力學(xué)問題已受到國(guó)內(nèi)、外學(xué)術(shù)界和工程界的高度重視。 本文針對(duì)漸開線直齒輪傳動(dòng)系統(tǒng)動(dòng)力學(xué)相關(guān)問題展開深入研究,形成了非線性動(dòng)力學(xué)建模、試驗(yàn)研究和模型驗(yàn)證、非線性振動(dòng)特性研究、齒廓修形研究和動(dòng)態(tài)性能優(yōu)化設(shè)計(jì)為一體的理論研究體系。本文的主要研究?jī)?nèi)容和創(chuàng)新點(diǎn)如下: 分別針對(duì)漸開線定軸齒輪傳動(dòng)和行星齒輪傳動(dòng),分析了沿齒寬方向載荷分配不均引起的嚙合平面力系,分析了由幾何偏心、中心距偏差和橫向位移引起中心距變化對(duì)嚙合力作用方向的影響,分析了齒面、齒背嚙合狀態(tài)變化對(duì)嚙合力作用方向的影響,考慮由旋轉(zhuǎn)軸空間方位改變引起的陀螺效應(yīng),采用拉格朗日法建立了包含齒輪嚙合平面力系和嚙合力方向動(dòng)態(tài)變化的橫-扭-擺耦合非線性動(dòng)力學(xué)模型,揭示了齒輪傳動(dòng)過程的中心距變化和齒面、齒背嚙合狀態(tài)變化與齒輪副間嚙合力作用方向之間的耦合機(jī)制。 分別針對(duì)漸開線定軸齒輪傳動(dòng)和行星齒輪傳動(dòng),分析了中心距變化對(duì)齒側(cè)間隙的影響,分析了齒廓修形、轉(zhuǎn)速變化、中心距變化和齒面、齒背嚙合狀態(tài)變化等對(duì)嚙合剛度的影響,提出了包含動(dòng)態(tài)齒側(cè)間隙和動(dòng)態(tài)嚙合剛度并可適用于齒廓修形齒輪的非線性動(dòng)態(tài)嚙合模型,該嚙合模型實(shí)現(xiàn)了與齒輪傳動(dòng)非線性動(dòng)力學(xué)模型進(jìn)行反饋計(jì)算,可用于分析齒輪傳動(dòng)過程中嚙合參數(shù)的動(dòng)態(tài)變化與振動(dòng)響應(yīng)之間的耦合作用。 分別搭建了兩級(jí)定軸齒輪傳動(dòng)和行星齒輪傳動(dòng)試驗(yàn)測(cè)試平臺(tái),研究了振動(dòng)特性相關(guān)信號(hào)的測(cè)試方法、測(cè)試原理和數(shù)據(jù)處理方法,并開展了多個(gè)穩(wěn)態(tài)工況的振動(dòng)特性試驗(yàn)研究。針對(duì)各試驗(yàn)裝置進(jìn)行動(dòng)力學(xué)建模和數(shù)值仿真,并將仿真結(jié)果與試驗(yàn)結(jié)果進(jìn)行了對(duì)比分析。結(jié)果表明,仿真結(jié)果與試驗(yàn)結(jié)果吻合較好,驗(yàn)證了本文提出的漸開線直齒輪傳動(dòng)橫-扭-擺耦合非線性動(dòng)力學(xué)模型和非線性動(dòng)態(tài)嚙合模型的正確性。 針對(duì)單級(jí)齒輪傳動(dòng)系統(tǒng),在發(fā)動(dòng)機(jī)激勵(lì)作用下,采用不同的動(dòng)力學(xué)模型,對(duì)比分析了不同轉(zhuǎn)速下的動(dòng)載荷,分析了發(fā)動(dòng)機(jī)轉(zhuǎn)速、中心支撐剛度和中心距偏差對(duì)動(dòng)載荷的影響規(guī)律。分析了空載條件下的敲擊特性,分析了轉(zhuǎn)速、間隙和中心距偏差對(duì)空載工況下動(dòng)載荷的影響規(guī)律;結(jié)合非線性動(dòng)力學(xué)特性定性和定量分析方法,分析了齒輪傳動(dòng)系統(tǒng)在不同工況下的運(yùn)動(dòng)形式。所得結(jié)論可用于指導(dǎo)設(shè)計(jì)低振動(dòng)和低噪聲的齒輪傳動(dòng)系統(tǒng)。 在準(zhǔn)靜態(tài)條件下,研究了齒廓修形參數(shù)對(duì)嚙合剛度和齒間載荷分配系數(shù)的影響;邶X輪傳動(dòng)系統(tǒng)橫-扭-擺耦合非線性動(dòng)力學(xué)模型,研究了修形參數(shù)對(duì)齒輪動(dòng)載荷的影響,并進(jìn)一步分析了齒廓修形對(duì)輪齒強(qiáng)度的影響。為降低齒輪傳動(dòng)系統(tǒng)的振動(dòng)和噪聲,以減小動(dòng)載系數(shù)為目標(biāo),建立了基于漸開線直齒輪傳動(dòng)系統(tǒng)橫-扭-擺耦合非線性動(dòng)力學(xué)模型的齒廓修形優(yōu)化模型,對(duì)多個(gè)齒廓修形參數(shù)進(jìn)行了優(yōu)化設(shè)計(jì),有效降低了齒輪傳動(dòng)系統(tǒng)的動(dòng)載荷,為設(shè)計(jì)低振動(dòng)和低噪聲的齒輪傳動(dòng)系統(tǒng)提供理論依據(jù)。 針對(duì)某履帶車輛齒輪傳動(dòng)系統(tǒng),系統(tǒng)分析了不同擋位下的動(dòng)態(tài)嚙合力、行星傳動(dòng)均載系數(shù)、軸承支反力和傳動(dòng)軸的動(dòng)態(tài)應(yīng)力;對(duì)比分析了齒輪加工精度和動(dòng)平衡精度對(duì)齒輪傳動(dòng)系統(tǒng)動(dòng)態(tài)特性的影響;诼膸к囕v齒輪傳動(dòng)系統(tǒng)非線性動(dòng)力學(xué)模型,建立了綜合考慮多擋動(dòng)態(tài)特性的優(yōu)化模型。通過Isight優(yōu)化軟件集成非線性動(dòng)力學(xué)程序,搭建了優(yōu)化平臺(tái),并開展了優(yōu)化設(shè)計(jì)。優(yōu)化結(jié)果表明了優(yōu)化模型的可行性,,為履帶車輛齒輪傳動(dòng)系統(tǒng)動(dòng)態(tài)性能的改進(jìn)設(shè)計(jì)提供參考。
[Abstract]:Gear drive is one of the most widely used mechanical transmission forms . It plays a very important role in machinery , aerospace , ship and other industries . At present , the vibration and noise of gear transmission system have become the primary factor influencing the competitiveness of the products . In this paper , the research on the dynamics related problems of involute spur gears is studied in this paper . Nonlinear dynamics modeling , experimental research and model verification , nonlinear vibration characteristic research , tooth profile modification and dynamic performance optimization design are integrated into the theory research system . The main research contents and innovation points are as follows : The effects of geometric eccentricity , center distance deviation and lateral displacement on the direction of meshing force are analyzed . The effects of the change of center distance and the center distance on the direction of meshing force are analyzed . In this paper , the influence of center distance change on meshing stiffness is analyzed for involute constant - axis gear transmission and planetary gear transmission , and the influence of tooth profile modification , rotation speed change , center distance change and tooth surface , tooth - back engagement state change on meshing stiffness is analyzed . The nonlinear dynamic meshing model including dynamic tooth - side clearance and dynamic meshing stiffness can be applied to tooth profile modification gear . The test method , test principle and data processing method of the two - stage fixed - shaft gear transmission and planetary gear transmission test are built respectively , and the vibration characteristics test of a plurality of steady - state working conditions is carried out . The simulation results are compared with the experimental results . The results show that the simulation results agree well with the test results , and the correctness of the nonlinear dynamic model and the nonlinear dynamic meshing model is verified . Aiming at the single - stage gear transmission system , under the action of engine excitation , different dynamic models are adopted to analyze the influence law of the engine speed , the center support rigidity and the center distance deviation on the dynamic load . The influence rule of the rotating speed , the clearance and the center distance deviation on the dynamic load in the no - load condition is analyzed . The motion form of the gear transmission system under different conditions is analyzed by combining the qualitative and quantitative analysis methods of nonlinear dynamics . The obtained conclusion can be used to guide the design of the gear transmission system with low vibration and low noise . Under quasi - static condition , the influence of tooth profile modification parameters on meshing stiffness and inter - tooth load distribution coefficient is studied . Based on the nonlinear dynamic model of transverse - torsional - pendulum coupling of gear transmission system , the influence of modification parameters on gear dynamic load is studied . In order to reduce the vibration and noise of gear transmission system and to reduce the dynamic load factor , a tooth profile modification optimization model based on the transverse - torsional - pendulum coupled nonlinear dynamic model of involute spur gear transmission system is established , and the dynamic load of gear transmission system is effectively reduced , which provides theoretical basis for designing low - vibration and low - noise gear transmission system . Based on the nonlinear dynamic model of the gear transmission system of the tracked vehicle , an optimization model for the optimization of the dynamic characteristics of the gear transmission system is established . The optimization design is built based on the nonlinear dynamic model of the gear transmission system of the tracked vehicle . The optimization design is built and the optimization design is carried out . The optimization results show that the optimization model is feasible and provides a reference for the improvement of the dynamic performance of the crawler gear transmission system .
【學(xué)位授予單位】:北京理工大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2015
【分類號(hào)】:TH132.41
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