【摘要】：生物分子馬達(dá)是一種由生物大分子構(gòu)成并將化學(xué)能轉(zhuǎn)化為機(jī)械能的納米級微型電機(jī),動力學(xué)特性直接決定了它的工作機(jī)理和工作特性。目前對于生物分子馬達(dá)的研究都是基于生物或化學(xué)原理,很少考慮其在運動過程中的動態(tài)機(jī)械變形及其在機(jī)械化學(xué)耦合效應(yīng)中的作用和影響。為此,本文對F_1-ATPase分子馬達(dá)的機(jī)械化學(xué)耦合動力學(xué)問題進(jìn)行了系統(tǒng)的研究。 本文以F_1-ATPase分子馬達(dá)為研究對象,首先基于機(jī)械振動力學(xué),建立F_1-ATPase的動力學(xué)模型。分析了F_1-ATPase的自由振動,求出了模態(tài)函數(shù),討論了參數(shù)變化對主振型的影響規(guī)律。利用模態(tài)疊加法,分析了隨機(jī)熱激勵下F_1-ATPase的受迫振動,求出了隨機(jī)響應(yīng),并確定了γ亞基的動態(tài)波動扭轉(zhuǎn)角均方值。 推導(dǎo)了F_1-ATPase分子馬達(dá)運動時間與轉(zhuǎn)速的計算公式,分析了它們的影響因素及其隨影響因素的變化規(guī)律,分析了不考慮機(jī)械化學(xué)耦合時F_1-ATPase運動時間的相對誤差。 考慮切變模量的非線性因素,建立了機(jī)械化學(xué)耦合非線性動力學(xué)方程。應(yīng)用非線性近似解析法,分析了F_1-ATPase的弱非線性自由振動、接近共振的受迫振動、遠(yuǎn)離共振的受迫振動以及亞諧波響應(yīng),分析了參數(shù)變化對接近共振的受迫振動幅頻響應(yīng)的影響規(guī)律。 應(yīng)用等效線性化方法,對F_1-ATPase進(jìn)行了非線性隨機(jī)響應(yīng)分析,求出了不考慮非線性因素時機(jī)械步驟時間的誤差,并討論了考慮非線性因素時γ亞基轉(zhuǎn)速的影響因素及影響規(guī)律。 運用ANSYS有限元分析軟件,對F_1-ATPase進(jìn)行了實體建模,完成了F_1-ATPase振動模態(tài)的模擬仿真,驗證了理論分析的正確性。
[Abstract]:Biomolecular motor is a kind of nanoscale micro motor which is composed of biomolecules and converts chemical energy into mechanical energy. Its working mechanism and working characteristics are directly determined by its dynamic characteristics. At present, the research of biomolecular motors is based on biological or chemical principles, and little consideration has been given to its dynamic mechanical deformation during motion and its role and influence in the mechanochemical coupling effect. In this paper, the mechanochemical coupling kinetics of F_1-ATPase molecular motor is studied systematically. In this paper, F_1-ATPase molecular motor is taken as the research object. Firstly, based on mechanical vibration mechanics, the dynamic model of F_1-ATPase is established. In this paper, the free vibration of F_1-ATPase is analyzed, the modal function is obtained, and the influence of parameter variation on the main mode is discussed. By means of modal superposition method, the forced vibration of F_1-ATPase under random thermal excitation is analyzed, the random response is obtained, and the mean square value of dynamic wave torsional angle of 緯 subunit is determined. The formulas for calculating the motion time and rotational speed of F_1-ATPase molecular motor are derived, their influencing factors and their variation with the influencing factors are analyzed, and the relative error of F_1-ATPase motion time without consideration of mechanochemical coupling is analyzed. Considering the nonlinear factor of shear modulus, the mechanochemical coupling nonlinear dynamic equation is established. Using the nonlinear approximate analytical method, the weak nonlinear free vibration of F_1-ATPase, the forced vibration near resonance, the forced vibration away from resonance and the subharmonic response are analyzed. The influence of parameter variation on amplitude frequency response of forced vibration near resonance is analyzed. Using the equivalent linearization method, the nonlinear random response analysis of F_1-ATPase is carried out, and the error of mechanical step time without considering nonlinear factors is obtained, and the influence factors and rules of the speed of 緯 subunit when nonlinear factors are considered are discussed. The ANSYS finite element analysis software is used to model the F_1-ATPase, and the simulation of F_1-ATPase vibration mode is completed. The correctness of the theoretical analysis is verified.
【學(xué)位授予單位】：燕山大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2011
【分類號】：TH113

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