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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
【摘要】 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。
【Abstract】 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.
- 【文献出处】 东北地震研究 ,SEISMOLOGICAL RESEARCH OF NORTHEAST CHINA , 编辑部邮箱 ,1995年01期
- 【分类号】P315.8
- 【被引频次】10
- 【下载频次】106