关键词: 摩擦特性, 数值模拟, 粘滑

Abstract: This work compares the slowness friction law with the Ruina Dieterich friction law under both constant normal stress and variable normal stress conditions Dynamic motion with the slowness friction law in a single degree of freedom system is analyzed numerically and compared with the other By examining the property of the equations,it can be seen that the two constitutive laws converge to each other during motions around a certain steady state This is also implied by the consent in linear stability analyses for both cases as shown in previous studies Under constant normal stress condition,the two constitutive laws differs in many aspects:(a) Stress displacement curve in stick slip with the slowness friction law is different from the Ruina Dieterich friction law in that the stress change during acceleration and deceleration are strongly not symmetric;(b) In the deceleration phase,the slowness law has a roughly constant stress segment in which the logarithm of state and logarithm of velocity are linearly coupled,and most portion of the state value recovers during this segment;(c) With slowness friction law,dynamic stress drop scales with both b a and stiffness; (d) The minimum velocity in the deceleration phase with the slowness law is less than the Ruina Dieterich law by 10 orders of magnitude Under variable normal stress condition,the phase plane plot with the slowness law is similar to the constant normal stress case except the non appearance of constant state line whereas that of Ruina Dieterich law has a long tail in the deceleration phase in which little hysteresis occurs

Key words: Frictional property, Numerical simulation, Stick slip