Structural identification of the mathematical model of the functioning of tribosystems under conditions of boundary lubrication
Structural identification of the mathematical model of the functioning of tribosystems under conditions of boundary lubrication
复制标题
边界润滑条件下摩擦系统运行数学模型的结构识别
DOI：
10.31891/2079-1372-2021-100-2-26-33
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
A. Voitov
中科院分区：
文献类型：
--
作者：
A. Voitov
在这项工作中，进一步发展了一种获得数学模型的方法，该模型描述了边界润滑条件下摩擦系统在稳态和瞬态模式下的功能，作为边界润滑条件下摩擦系统功能建模的对象，进行了摩擦系统的结构识别。它是建立的，摩擦系统的操作是由一个三阶微分方程描述，并在已知的，考虑到在磨合过程中改变摩擦系统的品质因数的功能。结果表明，在极限润滑条件下的摩擦系统的功能的性质取决于微分方程中包括的增益和时间常数。它表明，系数α 1考虑到输入信号（负载，滑动速度，润滑介质的摩擦学特性）的影响程度，对输出信号（摩擦系统的品质因数）的值。当改变输入参数（载荷、滑动速度、摩擦系统的品质因数）的值时，系数α 2考虑了输出参数（体积磨损率和摩擦系数）的变化幅度。系数ε 3考虑了输入信号对摩擦元件表面层中材料结构重构的影响程度。摩擦系统的时间常数表征了磨合期间或运行模式变化期间摩擦系统中发生的过程的惯性。增加时间常数使该过程对输入信号的变化不太敏感，磨合过程随着时间的推移而增加，并且摩擦系统变得对负载和滑动速度的微小变化不敏感。相反，时间常数的减小使摩擦系统对任何外部变化都很敏感。
In the work, a methodological approach to obtaining mathematical models was further developed, which describe the functioning of tribosystems in stationary and transient modes under boundary lubrication conditions.The structural identification of the tribosystem as an object of modeling the functioning of tribosystems in the conditions of boundary lubrication is performed. It is established that the operation of tribosystems is described by a third-order differential equation and, in contrast to the known ones, takes into account the function of changing the quality factor of the tribosystem during running-in. It is shown that the nature of the functioning of tribosystems under conditions of ultimate lubrication depends on the gain and time constants included in the differential equation. It is shown that the coefficient К1 takes into account the degree of influence of the input signal (load, sliding speed, tribological characteristics of the lubricating medium), on the value of the output signal (quality factor of the tribosystem). Coefficient К2 takes into account the magnitude of the change of the output parameters (volumetric wear rate and friction coefficient) when changing the values of the input parameters (load, sliding speed, quality factor of the tribosystem. Coefficient К3 takes into account the degree of influence of the input signal on the restructuring of the material structure in the surface layers of the triboelements.The time constants of the tribosystem characterize the inertia of the processes occurring in the tribosystem, during running-in, or during changes in operating modes. Increasing the time constants makes the process less susceptible to changes in the input signal, the running-in process increases over time, and the tribosystem becomes insensitive to small changes in load and slip speed. Conversely, the reduction of time constants makes the tribosystem sensitive to any external changes.