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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

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【作者】 季颖高原陈颙

【Author】 Ji Ying)Gao Yuan Chen Yong1)Center for Analysis and Prediction,State Seismological Bureau, Beijing 100036,China2)State Seislnological Bureau,Beijng 100036,China

【机构】 国家地震局分析预报中心国家地震局

【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.

【关键词】 混沌理论地震模型弹簧滑块模型
【Key words】 Spring-block modelChaotic motionEarthquake
【基金】 地震联合基金
  • 【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
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