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arXiv 1502.01302cond-mat.soft
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基于速率和状态摩擦的摩擦扭矩数值估算

Numerical Estimation of Frictional Torques with Rate and State Friction

Arun K. Singh, T. N. Singh

摘要:

本文对旋转弹性圆盘在不同旋转条件下在硬粗糙表面上的摩擦力矩进行了数值估算。在准静态条件下,采用速率和状态相关摩擦模型,对一维弹簧-质量旋转系统进行了数值求解。它是建立摩擦强度扭矩以及扭矩的稳定动态应力随半径的增加,并发现在周边的盘最大。只有在连接弹簧刚度高的情况下,使用解析解估计的摩擦强度对应的扭矩才与模拟紧密匹配。在稳态松弛模拟中,稳定旋转的圆盘突然停止,并且松弛角速度和相应的摩擦力矩随着稳态角速度和连接弹簧的刚度在速度加强区域中减小。在速度减弱区,应力松弛力矩减小,而松弛速度增大。解释了产生矛盾的原因。

英文摘要:

In this paper, numerical estimation of frictional torques is carried out of a rotary elastic disc on a hard and rough surface under different rotating conditions. A one dimensional spring- mass rotary system is numerically solved under the quasistatic condition with the rate and state dependent friction model. It is established that torque of frictional strength as well as torque of steady dynamic stress increases with radius and found to be maximum at the periphery of the disc. Torque corresponding to frictional strength estimated using the analytical solution matches closely with the simulation only in the case of high stiffness of the connecting spring. In steady relaxation simulation, a steadily rotating disc is suddenly stopped and relaxational angular velocity and corresponding frictional torque decreases with both steady angular velocity and stiffness of the connecting spring in the velocity strengthening regime. In velocity weakening regime, in contrast, torque of relaxation stress deceases but relaxation velocity increases. The reason for the contradiction is explained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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