【摘要】：隨著機(jī)械制造工業(yè)的快速發(fā)展,對工件加工精度的要求越來越高。高速鏜削產(chǎn)生的振動降低了加工精度和切削效率,振動引起的噪音嚴(yán)重危害工人的身心健康。本文考慮減振鏜桿系統(tǒng)中橡膠圈和阻尼液的非線性因素分別建立了兩自由度內(nèi)置式動力減振鏜桿系統(tǒng)模型和三自由度雙內(nèi)置式動力減振鏜桿系統(tǒng)模型,基于非線性振動理論,數(shù)值計(jì)算系統(tǒng)分岔圖、Poincaré映射圖、PSP圖、安全盆和吸引域等,研究了系統(tǒng)動力學(xué)參數(shù)對系統(tǒng)振動特性的影響、系統(tǒng)振動安全盆對初值的敏感性以及系統(tǒng)局部和全局動力學(xué)穩(wěn)定性,為減振鏜桿系統(tǒng)的設(shè)計(jì)和參數(shù)優(yōu)化提供依據(jù)。具體研究內(nèi)容如下:建立了兩自由度動力減振鏜桿系統(tǒng)的離散動力學(xué)模型,計(jì)算了阻尼液的阻尼系數(shù)和非線性阻尼力,給出了橡膠圈的非線性彈簧力,得到一個包含橡膠圈和阻尼液非線性項(xiàng)的動力減振鏜桿振動方程。針對兩自由度動力減振鏜桿系統(tǒng),選擇不同的動力學(xué)系統(tǒng)參數(shù),借助數(shù)值計(jì)算方法,研究各動力學(xué)參數(shù)對系統(tǒng)分岔和混沌特性的影響。研究發(fā)現(xiàn),外激勵頻率在0.5倍頻附近時(shí)幅值突然急劇增加,出現(xiàn)強(qiáng)共振響應(yīng),系統(tǒng)振動瞬間失穩(wěn)。當(dāng)外激勵頻率大于主倍頻后,系統(tǒng)出現(xiàn)穩(wěn)定周期1運(yùn)動和擬周期運(yùn)動相交替的現(xiàn)象。當(dāng)橡膠圈彈性系數(shù)、阻尼液阻尼系數(shù)、減振塊質(zhì)量較小時(shí)系統(tǒng)出現(xiàn)了鞍結(jié)分岔、Hopf分岔以及環(huán)面倍化分岔等較為復(fù)雜的分岔特性;當(dāng)橡膠圈彈性系數(shù)、阻尼液阻尼系數(shù)、減振塊質(zhì)量較大時(shí)系統(tǒng)振動較為穩(wěn)定,但并非穩(wěn)定的周期運(yùn)動,而是周期運(yùn)動和擬周期運(yùn)動交替出現(xiàn)。研究發(fā)現(xiàn)在減振塊尺寸一定的條件下,其質(zhì)量大于0.5倍的主系統(tǒng)質(zhì)量時(shí),系統(tǒng)振動穩(wěn)定性增強(qiáng),故在實(shí)際應(yīng)用中,通過選用密度較大的質(zhì)量塊可以有效抑制減振鏜桿的振動。通過計(jì)算系統(tǒng)的安全盆研究了兩自由度減振鏜桿系統(tǒng)振動的安全特性。分析了隨外激勵頻率和阻尼液系數(shù)變化時(shí)系統(tǒng)安全盆的侵蝕過程。發(fā)現(xiàn)隨系統(tǒng)參數(shù)的變化系統(tǒng)安全盆受到不同程度的侵蝕。為了分析系統(tǒng)振動對初值的敏感性,數(shù)值計(jì)算了系統(tǒng)各吸引子的吸引域,對系統(tǒng)的局部及全局動力學(xué)特性進(jìn)行穩(wěn)定性分析,研究發(fā)現(xiàn)隨動力學(xué)參數(shù)的變化,系統(tǒng)出現(xiàn)了周期運(yùn)動與周期運(yùn)動、周期運(yùn)動與混沌運(yùn)動等多種穩(wěn)態(tài)解共存的現(xiàn)象。建立了考慮橡膠圈和阻尼液非線性因素的三自由度內(nèi)置式雙減振鏜桿系統(tǒng)的非線性動力學(xué)模型,通過計(jì)算得到系統(tǒng)的力學(xué)參數(shù)。研究外激勵頻率、橡膠圈剛度、減振塊質(zhì)量、阻尼液等對系統(tǒng)動力學(xué)特性的影響以及吸引子共存情況。
[Abstract]:With the rapid development of machinery manufacturing industry, the requirement of machining precision of workpiece is more and more high. The vibration caused by high speed boring reduces machining precision and cutting efficiency, and the noise caused by vibration seriously harms workers' physical and mental health. In this paper, considering the nonlinear factors of rubber ring and damping fluid in the vibration absorption and boring bar system, the model of two degree of freedom built-in dynamic vibration absorption boring bar system and the three degree of freedom double internal dynamic vibration absorption boring bar system model are established, respectively, based on the nonlinear vibration theory. The system bifurcation diagram, Poincar 茅 map diagram, PSP diagram, safe basin and attraction region are calculated numerically. The effects of system dynamic parameters on the vibration characteristics of the system are studied. The sensitivity of the system vibration safety basin to the initial value and the local and global dynamic stability of the system provide the basis for the design and parameter optimization of the vibration absorption boring bar system. The main contents are as follows: the discrete dynamic model of two degrees of freedom dynamic vibration absorption boring bar system is established, the damping coefficient and nonlinear damping force of damping fluid are calculated, and the nonlinear spring force of rubber ring is given. A vibration equation of dynamic vibration absorption boring bar with nonlinear term of rubber ring and damping fluid is obtained. Different parameters of dynamic system are selected for two-degree-of-freedom dynamic vibration absorption boring bar system. The effects of dynamic parameters on bifurcation and chaos characteristics of the system are studied by means of numerical calculation method. It is found that when the external excitation frequency is close to 0.5 times frequency, the amplitude increases sharply, the strong resonance response occurs, and the vibration of the system is transient unstable. When the external excitation frequency is larger than the principal frequency doubling, the stable periodic 1 motion and the quasi periodic motion alternately occur in the system. When the elastic coefficient of rubber ring, damping coefficient of damping fluid and mass of damping block are small, the saddle node bifurcation, Hopf bifurcation and torus doubling bifurcation appear. When the elastic coefficient of rubber ring, damping coefficient of damping fluid and mass of damping block are larger, the vibration of the system is more stable, but not a stable periodic motion, but alternate between periodic motion and quasi-periodic motion. It is found that the vibration stability of the system is enhanced when the mass of the main system is more than 0.5 times under the condition of the certain size of the damping block, so it is applied in practice. The vibration of the boring bar can be effectively suppressed by selecting the mass block with high density. The safety characteristics of vibration of two degrees of freedom damping boring bar system are studied by calculating the safety basin of the system. The erosion process of the safe basin is analyzed with the change of external excitation frequency and damping fluid coefficient. It is found that the system safety basin is eroded in varying degrees with the variation of system parameters. In order to analyze the sensitivity of the system vibration to the initial value, the attraction regions of the system attractors are numerically calculated, and the stability of the local and global dynamic characteristics of the system is analyzed. It is found that the stability of the system varies with the dynamic parameters. Periodic motion and periodic motion, periodic motion and chaotic motion coexist in the system. The nonlinear dynamic model of a three-degree-of-freedom built-in double-damping boring bar system considering the nonlinear factors of rubber ring and damping fluid is established. The mechanical parameters of the system are obtained by calculation. The effects of external excitation frequency, stiffness of rubber ring, mass of damping block and damping liquid on the dynamic characteristics of the system and the coexistence of attractors are studied.
【學(xué)位授予單位】：蘭州交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TG53

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