Stabilityanalysisofrectangularrockpillarsinfluenced byvicinalblastingwithcatastrophetheory
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摘要: 运用突变理论,建立了邻近爆破扰动诱发矩形岩柱失稳的非线性动力学模型,导出了岩柱发生动 力失稳的充分必要条件。根据建立的尖点突变模型,分析了竖向压力、爆破扰动强度及频率对矩形岩柱失稳 机理的影响。结果表明:(1)借助突变理论分析邻近爆破扰动诱发岩柱失稳机理是可行的;(2)邻近爆破扰动 强度越大,岩柱越容易发生失稳破坏;(3)竖向荷载越大,满足岩柱失稳条件所对应的爆破扰动强度越小,岩柱 发生失稳的可能性越大;(4)岩柱发生动力失稳破坏,爆破扰动频率必须满足一定条件。Abstract: Byusingthecatastrophetheory,anonlineardynamicmodelwasproposedtodescribethe rectangularrockpillarinstabilityinducedbyvicinalblasting.Andsufficientandnecessaryconditions wereworkedoutforthepillardynamicinstability.Theproposedcatastrophemodelswereusedtoanalyzetheinfluencesoftheverticalpress, theblastingdisturbingstrengthanditsfrequencyontheinstabilitymechanismoftherectangularrockpillars. Resultsshowasfollows.Itisfeasibletoanalyze theinstabilitymechanismoftherectangularrockpillarsinducedbyvicinalblastingbyusingthecatastrophetheory. Thehigherthevicinalblastingdisturbingstrength,themoreeasilytherockpillarinstabilityoccurs. Theblastingdisturbingstrengthrespondingtotheinstabilityconditionsofrockpillarswillbelesswiththeincreasingoftheverticalpress, andtheinstabilityofrockpillarsbecomes morepossible.Ifthedynamicinstabilityofrockpillarshappens,theblastingdisturbingfrequency mustmeetcertainconditions.
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Key words:
- mechanicsofexplosion /
- stability /
- catastrophetheory /
- rectangularrockpillar /
- vicinal blasting
期刊类型引用(7)
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