模拟地震的弹簧滑块模型的混沌运动

CHAOTIC MOTION OF SPRING-BLOCKS SYSTEM FOR EARTHQUAKES MODELLING

我们构造了一种自由度为２的双弹簧滑块系统，讨论模型参数的不均匀性和滑块间的相互作用与复杂现象的关系。假定滑块在所受力小于其静摩擦力时保持静止，因此，只有发生了滑动，两滑块所受力之差才改变。如果我们以两滑块受力之差为变量，就可以构造一种一维的映射。这种映射直观地显示了系统的演化，反映了方程终态解的形态。结果表明，用混沌运动来描述地震现象可能是较为合理的。

The two spring-blocks system with 2 freedom degrees in earthquakesimulation is built up in this paper. The effect of non-homogeneity of model parameters andthe interactiOn between blocks on the complicated phenomena are discussed based on our sys-tem,It is supposed that blocks keep motionless until the driving forces subjected by blocksexceeds the static friction force,so the difference of forces on two blocks will change only af-ter slip motion has begun. One-dimension mapping may be got if we put the difference of-forces on two blocks as a variable,This mapping directly shows the system evolution and theformation of ultimate solutions. The results indicate that it may be reasonable to explainearthquakes evolution using chaotic motion theory.