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冲击地压粘滑失稳的混沌特性

Chaotic behavior of stick slip in rock bursts

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【作者】 黄滚尹光志

【Author】 HUANG Guna,b,YIN Guang-zhia,b (a.College of Resource and Environmental Sciences;b.Key Laboratory of the Exploitation of Southwest Resources & Environmental Hazards Control Engineering,Ministry of Education,Chongqing University,Chongqing 400030,P.R.China)

【机构】 重庆大学资源及环境科学学院重庆大学西南资源开发及环境灾害控制工程教育部重点实验室

【摘要】 为探讨冲击地压发生的非线性特征,在分析断层型或构造型冲击地压粘滑失稳的原因和特点基础上,引入了模拟粘滑失稳的双滑块模型。理论分析表明,双滑块模型在对称情况下,完全相同的2个滑块可以造成空间上不相同的滑块运动,但其动力学行为只表现出周期性的特点;在非对称的情况下,滑块的粘滑失稳表现出复杂的混沌行为。通过适当考虑模型参数物理意义以及对参数值进行选取,该模型可用于解释断层型或构造型冲击地压粘滑失稳机理,描述其动力学行为复杂的非线性混沌特性。

【Abstract】 Two types of rock bursts,strain rock bursts and fault-slip rock bursts,are defined briefly in terms of their instability mechanisms.Justification for stick-slip instability to account for a fault-slip rock burst is presented.A model we call spring-and-two-slider is introduced to simulate the behavior of stick slip that rock bursts exhibit.Theoretical analysis demonstrates that the stick-slip motions of two identical sliders are periodic,although they have their own spatial motions.Their behaviors,however,are characterized by chaos for different sliders.The results show that fault-slip rock bursts could be explained satisfactorily by stick-slip motion,the chaotic behavior of which implies the dynamic system of rock bursts is deterministic instead of stochastic.

【关键词】 冲击地压粘滑混沌双滑块模型
【Key words】 rock burstsstick slipchaosspring-and-two-rider model
【基金】 国家自然科学基金资助项目(5087412450374084);国家重点基础研究发展计划(973计划)资助项目(2005CB221502);国家自然科学基金重点资助项目(50534080);重庆市自然科学基金计划重点项目(CSTC,2008BA6028)
  • 【文献出处】 重庆大学学报 ,Journal of Chongqing University , 编辑部邮箱 ,2009年06期
  • 【分类号】TD324
  • 【被引频次】21
  • 【下载频次】297
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