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生物分子马达的机械化学耦合动力学研究

发布时间:2018-10-21 15:45
【摘要】:生物分子马达是一种由生物大分子构成并将化学能转化为机械能的纳米级微型电机,动力学特性直接决定了它的工作机理和工作特性。目前对于生物分子马达的研究都是基于生物或化学原理,很少考虑其在运动过程中的动态机械变形及其在机械化学耦合效应中的作用和影响。为此,本文对F_1-ATPase分子马达的机械化学耦合动力学问题进行了系统的研究。 本文以F_1-ATPase分子马达为研究对象,首先基于机械振动力学,建立F_1-ATPase的动力学模型。分析了F_1-ATPase的自由振动,求出了模态函数,讨论了参数变化对主振型的影响规律。利用模态叠加法,分析了随机热激励下F_1-ATPase的受迫振动,求出了随机响应,并确定了γ亚基的动态波动扭转角均方值。 推导了F_1-ATPase分子马达运动时间与转速的计算公式,分析了它们的影响因素及其随影响因素的变化规律,分析了不考虑机械化学耦合时F_1-ATPase运动时间的相对误差。 考虑切变模量的非线性因素,建立了机械化学耦合非线性动力学方程。应用非线性近似解析法,分析了F_1-ATPase的弱非线性自由振动、接近共振的受迫振动、远离共振的受迫振动以及亚谐波响应,分析了参数变化对接近共振的受迫振动幅频响应的影响规律。 应用等效线性化方法,对F_1-ATPase进行了非线性随机响应分析,求出了不考虑非线性因素时机械步骤时间的误差,并讨论了考虑非线性因素时γ亚基转速的影响因素及影响规律。 运用ANSYS有限元分析软件,对F_1-ATPase进行了实体建模,完成了F_1-ATPase振动模态的模拟仿真,验证了理论分析的正确性。
[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 纬 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 纬 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.
【学位授予单位】:燕山大学
【学位级别】:硕士
【学位授予年份】:2011
【分类号】:TH113

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