基于區(qū)域分解法的潛孔錘無屈曲鉆柱扭轉(zhuǎn)振動研究
發(fā)布時間:2018-02-09 21:46
本文關(guān)鍵詞: 潛孔錘鉆柱 區(qū)域分解法 粘滑振動 一維波動理論 固有模態(tài) 出處:《中國地質(zhì)大學(xué)(北京)》2017年碩士論文 論文類型:學(xué)位論文
【摘要】:隨著鉆探工程的快速發(fā)展,越來越多的學(xué)者開始研究沖擊回轉(zhuǎn)鉆進(jìn)過程中的振動特性。潛孔錘以其特有的優(yōu)點(diǎn),得到越來越廣泛的應(yīng)用,對其進(jìn)行系統(tǒng)的研究越來越迫切。本文以潛孔錘鉆柱為例,基于區(qū)域分解法來建立鉆柱離散動力學(xué)方程,研究鉆柱含有扭轉(zhuǎn)粘滑的振動規(guī)律,具體研究內(nèi)容如下:一、建立了潛孔錘鉆柱變截面模型,通過區(qū)域分解法,應(yīng)用廣義變分原理對潛孔錘鉆柱建立能量泛函,通過泛函變分求解駐值的方法來得到鉆柱的動力學(xué)離散方程,并應(yīng)用matlab軟件編程,完成了鉆柱耦合振動響應(yīng)的系統(tǒng)求解過程,并應(yīng)用Newton-Raphson法求解鉆柱非線性載荷問題,根據(jù)鉆柱振動狀態(tài)自適應(yīng)調(diào)整載荷,從而建立包含鉆柱非線性問題的鉆柱耦合振動響應(yīng)求解系統(tǒng)。二、利用建立的鉆柱耦合振動求解系統(tǒng),研究了鉆柱阻尼和變截面等因素對鉆柱耦合振動響應(yīng)的影響。在此基礎(chǔ)上,研究針對潛孔錘沖擊周期沖擊激勵鉆柱扭轉(zhuǎn)粘滑振動特性,分析了沖擊持續(xù)時間、鉆柱長度和驅(qū)動轉(zhuǎn)速對扭轉(zhuǎn)粘滑運(yùn)動的影響。結(jié)果顯示:沖擊時間越長,越容易發(fā)生粘滑振動現(xiàn)象;與短鉆柱相比,長鉆柱扭轉(zhuǎn)振動各階模態(tài)頻率間距減小,鉆柱在每一沖擊倍頻處均接近的模態(tài)頻率,易發(fā)生扭轉(zhuǎn)共振;鉆柱的驅(qū)動速度提高時,鉆頭扭轉(zhuǎn)動能增大,鉆頭阻力矩可能無法完全消耗鉆頭動能,使不再發(fā)生粘滑振動現(xiàn)象。三、通過一維波動理論,建立了彈性體鉆柱扭轉(zhuǎn)振動的數(shù)學(xué)理論模型,應(yīng)用振型疊加法得到周期力作用下鉆柱扭轉(zhuǎn)穩(wěn)態(tài)受迫振動響應(yīng),得到了線性條件下鉆柱扭轉(zhuǎn)振動的理論求解方法,與區(qū)域分解法結(jié)果進(jìn)行對比,驗(yàn)證了兩種方法的可靠性。從中可以看出,區(qū)域分解法所得的響應(yīng)是由鉆柱的瞬態(tài)響應(yīng)和穩(wěn)態(tài)響應(yīng)疊加而成,而理論法所得的響應(yīng)中只有穩(wěn)態(tài)響應(yīng)。區(qū)域分解法與理論法可以很好地求解短鉆柱扭轉(zhuǎn)振動響應(yīng),而由于長鉆柱以高階振動為主,區(qū)域分解法在模擬長鉆柱振動更有優(yōu)勢。通過對潛孔錘鉆柱耦合振動規(guī)律的研究以及非線性動力學(xué)求解的探討,更全面地了解了潛孔錘鉆柱振動特性,對實(shí)際鉆進(jìn)起到重要的指導(dǎo)意義,本文為鉆柱振動響應(yīng)的研究提供了重要的方法和理論基礎(chǔ)。
[Abstract]:With the rapid development of drilling engineering, more and more scholars begin to study the vibration characteristics of percussive rotary drilling. It is more and more urgent to study it systematically. In this paper, the discrete dynamic equation of drill string is established based on region decomposition method, and the vibration law of drill string with torsional stick-slip is studied. The main contents are as follows: 1. The variable cross section model of DTH hammer drill column is established. By using the domain decomposition method, the energy functional of DTH hammer drill string is established by applying the generalized variational principle, and the dynamic discrete equation of drill string is obtained by using functional variational method to solve the standing value of drill string. The system solution of the coupling vibration response of drill string is completed by using matlab software, and the nonlinear load problem of drill string is solved by Newton-Raphson method. The load is adjusted adaptively according to the vibration state of drill string. Thus, the system for solving the coupled vibration response of drill string including the nonlinear problem of drill string is established. Second, the system is established to solve the coupled vibration of drill string. The effects of damping and variable cross section of drill string on the coupled vibration response of drill string are studied. On the basis of this, the torsional viscous slip vibration characteristics of drill string induced by impact cycle of DTH hammer are studied, and the impact duration is analyzed. The effect of drill string length and driving speed on torsional sticking-slip motion. The results show that the longer the impact time, the more likely is the phenomenon of stick-slip vibration, and compared with the short drill string, the distance between the frequencies of the torsional vibration of the long drill string decreases. It is easy to produce torsional resonance when the drill string is close to the frequency of every impact frequency. When the driving speed of drill string increases, the bit torsional kinetic energy increases, and the bit resistance moment may not completely consume the bit kinetic energy. Third, through one-dimensional wave theory, the mathematical model of torsional vibration of elastic drill string is established, and the response of steady state forced vibration of drill string under periodic force is obtained by using mode superposition method. The theoretical solution of torsional vibration of drill string under linear conditions is obtained. The results of the method are compared with the results of the domain decomposition method, and the reliability of the two methods is verified. The response obtained by the domain decomposition method is superposed by the transient response and the steady response of the drill string, while the response obtained by the theoretical method is only the steady-state response. The region decomposition method and the theoretical method can solve the torsional vibration response of the short drill string well. Because the long drill string is dominated by high order vibration, the region decomposition method is more advantageous in simulating the long drill string vibration. Through the study of the coupling vibration law of the down-hole hammer drill string and the discussion of the nonlinear dynamic solution, The vibration characteristics of DTH hammer drill string are fully understood, which plays an important guiding role in actual drilling. This paper provides an important method and theoretical basis for the research of drill string vibration response.
【學(xué)位授予單位】:中國地質(zhì)大學(xué)(北京)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:P634.3
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本文編號:1498930
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