• 主题
高级搜索  >
历史搜索 清空历史
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
【24h】

Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity

机译：一自由度弹簧滑块模型在热压滑弱摩擦和黏性存在下的多稳态滑移

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This study is focused on multistable slip of earthquakes based on a one-degree-of-freedom spring-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, iU/isubc/sub, of the friction law and the normalized viscosity coefficient, iη/i, between the slider and background plate. Analytic results at small slip suggest that there is a solution regime for iη/i and iγ/i (?=?1∕iU/isubc/sub) to make the slider slip steadily. Numerical simulations exhibit that the time variation in normalized velocity, iV/i∕iV/isubmax/sub (iV/isubmax/sub is the maximum velocity), obviously depends on iU/isubc/sub and iη/i. The effect on the amplitude is stronger due to iη/i than due to iU/isubc/sub. In the phase portrait of iV/i∕iV/isubmax/sub versus the normalized displacement, iU/i∕iU/isubmax/sub (iU/isubmax/sub is the maximum displacement), there are two fixed points. The one at large iV/i∕iV/isubmax/sub and large iU/i∕iU/isubmax/sub is not an attractor, while that at small iV/i∕iV/isubmax/sub and small iU/i∕iU/isubmax/sub can be an attractor for some values of iη/i and iU/isubc/sub. When iU/isubc/subi&/i0.?55, unstable slip does not exist. When iU/isubc/sub?≥?0.?55, iU/isubc/sub and iη/i divide the solution domain into three regimes: stable, intermittent, and unstable (or chaotic) regimes. For a certain iU/isubc/sub, the three regimes are controlled by a lower bound, iη/isubl/sub, and an upper bound, iη/isubu/sub, of iη/i. The values of iη/isubl/sub, iη/isubu/sub, and iη/isubu/sub???iη/isubl/sub all decrease with increasing iU/isubc/sub, thus suggesting that it is easier to yield unstable slip for larger iU/isubc/sub than for smaller iU/isubc/sub or for larger iη/i than for smaller iη/i. When iU/isubc/subi&/i1, the Fourier spectra calculated from simulation velocity waveforms exhibit several peaks, thus suggesting the existence of nonlinear behavior of the system. When iU/isubc/subi&/i1, the related Fourier spectra show only one peak, thus suggesting linear behavior of the system.
机译：这项研究的重点是，通过使用模型的归一化运动方程，在存在热压滑弱摩擦和黏性的情况下，基于单自由度弹簧-滑模模型，对地震进行多稳态滑动。模型的主要参数是摩擦定律的归一化特征位移 U c 和滑块与滑轨之间的归一化粘度系数η。背景板。小滑移的分析结果表明，存在η和γ（？=？1 ∕ U c ）以使滑块稳定滑动。数值模拟表明归一化速度 V ∕ V max （ V max < / sub>是最大速度），显然取决于 U c 和η。与 U c 相比，由于η对幅度的影响更大。在 V ∕ V max 与归一化位移的相像中， U ∕ U max （ U max 是最大位移），有两个固定点。 V ∕ V max 和大 U ∕ U max 不是吸引子，而 V ∕ V max 和小 U 的吸引子i U max 可能是某些η和 U c 值的吸引子。当 U c ＆ 0.?55时，不存在不稳定的滑移。当 U c ？≥？0.？55时， U c 和η将解域划分为三种状态：稳定，间歇和不稳定（或混乱）状态。对于某个 U c ，这三种情况受下限η l 和上限绑定η的η u 。 η l ，η u 和η u的值 ??? η l 都随着 U c 的增加而减小，这表明它更容易 U c 较大的 U c 或较大的η相比。当 U c ＆ 1时，从模拟速度波形计算出的傅立叶谱显示出几个峰值，这表明系统存在非线性行为。当 U c ＆ 1时，相关的傅立叶光谱仅显示一个峰，因此表明系统具有线性行为。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号