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首页> 外文期刊>Nonlinear processes in geophysics >Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity
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Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity

机译：在存在热加压滑动摩擦摩擦和粘度的情况下，一自由度春天滑块模型的多级滑动

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摘要

This study is focused on multistable slip of earthquakes based on a one-degree-of-freedom slider-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity by using the normalized equation of motion of the model. The major model parameters are the normalized characteristic displacement, U-c, of the friction law and the normalized viscosity coefficient, eta, between the slider and background plate. Analytic results at small slip suggest that there is a solution regime for eta and gamma (= 1/U-c) to make the slider slip steadily. Numerical simulations exhibit that the time variation in normalized velocity, V/V-max (V-max is the maximum velocity), obviously depends on U-c and eta. The effect on the amplitude is stronger due to eta than due to U-c. In the phase portrait of V/V-max versus the normalized displacement, U/U-max (U-max is the maximum displacement), there are two fixed points. The one at large V/V-max and large U/U-max is not an attractor; while that at small V/V-max and small U/U-max can be an attractor for some values of eta and U-c. When U-c<0.55 unstable slip does not exist. When U-c >= 0.55, U-c and eta divide the solution domain into three regimes: stable, intermittent, and unstable (or chaotic) regimes. For a certain U-c, the three regimes are controlled by a lower bound, eta(1), and an upper bound, eta(u), of eta. The values of eta(1), eta(u), and eta(u) - eta(1) all decrease with increasing U-c, thus suggesting that it is easier to yield unstable slip for larger U-c than for smaller U-c or for larger eta than for smaller eta. When U-c < 1, the Fourier spectra calculated from simulation velocity waveforms exhibit several peaks, thus suggesting the existence of nonlinear behavior of the system. When U-c > 1,the related Fourier spectra show only one peak, thus suggesting linear behavior of the system.
机译：本研究专注于通过使用模型的标准化运动的热加压滑动摩擦摩擦和粘度存在于自由度的滑动滑块模型的一系列自由度滑块模型。主要模型参数是摩擦法的标准化特征位移，U-C，摩擦法和标准化粘度系数，ETA，在滑块和背景板之间。小滑板的分析结果表明，ETA和伽马（= 1 / U-C）有解决方案制度，使滑块稳定地滑动。数值模拟表明，归一化速度的时间变化，V / V-MAX（V-MAX是最大速度），显然取决于U-C和ETA。由于ETA，对幅度的影响比U-C为较强。在V / V-MAX的相位肖像与归一化位移相比，U / U-MAX（U-MAX是最大位移），有两个固定点。大V / V-MAX和大U / U-MAX的那个不是吸引子;虽然小V / V-MAX和SMALL U / U-MAX可以是ETA和U-C值的吸引子。当U-C <0.55不稳定的滑动不存在时。当U-C> = 0.55时，U-C和ETA将解决方案划分为三个制度：稳定，间歇性和不稳定（或混乱）制度。对于某个U-C，三个制度由ETA的下限，ETA（1）和上限，ETA（U）控制。 ETA（1），ETA（U）和ETA（U） - ETA（1）的价值随着UC的增加而减少，从而提出比较小的UC或较大的ETA更容易产生不稳定的滑动而不是较小的eta。当U-C <1时，由模拟速度波形计算的傅里叶谱表现出几个峰，因此表明系统的非线性行为的存在。当U-C> 1时，相关傅立叶光谱仅显示一个峰值，从而表明系统的线性行为。

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