邻近爆破对矩形岩柱稳定性影响的突变理论分析

闫长斌; 王泉伟; 李国权; 符新阁; 左宇军

doi:10.11883/1001-1455(2010)05-0556-05

邻近爆破对矩形岩柱稳定性影响的突变理论分析

doi: 10.11883/1001-1455(2010)05-0556-05

1.
黄河勘测规划设计有限公司,河南郑州450003;
2.
大连大学材料破坏力学数值实验中心,辽宁大连430071

基金项目:

国家自然科学基金重大项目(50490272)

国家十一五科技支撑计划(2006BAB04A06)

详细信息

通讯作者:
闫长斌

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出版历程
- 刊出日期: 2010-09-25

Stabilityanalysisofrectangularrockpillarsinfluenced byvicinalblastingwithcatastrophetheory

1.
Yellow RiverEngineeringConsultingCo.Ltd.,Zhengzhou450003,Henan,China;
2.
ResearchCenterforNumericalTestof MaterialFailure,DalianUniversity,

Funds:

NationalNaturalScienceFoundationofChina(50490272)

tNationalKeyTechnologyRDProgram (2006BAB04A06)

More Information

Corresponding author: YAN Chang-bin

摘要

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。
- 爆炸力学 /
- 稳定性 /
- 突变理论 /
- 矩形岩柱 /
- 邻近爆破
Abstract: Byusingthecatastrophetheory,anonlineardynamicmodelwasproposedtodescribethe rectangularrockpillarinstabilityinducedbyvicinalblasting.Andsufficientandnecessaryconditions wereworkedoutforthepillardynamicinstability.Theproposedcatastrophemodelswereusedtoanalyzetheinfluencesoftheverticalpress, theblastingdisturbingstrengthanditsfrequencyontheinstabilitymechanismoftherectangularrockpillars. Resultsshowasfollows.Itisfeasibletoanalyze theinstabilitymechanismoftherectangularrockpillarsinducedbyvicinalblastingbyusingthecatastrophetheory. Thehigherthevicinalblastingdisturbingstrength,themoreeasilytherockpillarinstabilityoccurs. Theblastingdisturbingstrengthrespondingtotheinstabilityconditionsofrockpillarswillbelesswiththeincreasingoftheverticalpress, andtheinstabilityofrockpillarsbecomes morepossible.Ifthedynamicinstabilityofrockpillarshappens,theblastingdisturbingfrequency mustmeetcertainconditions.
- mechanicsofexplosion /
- stability /
- catastrophetheory /
- rectangularrockpillar /
- vicinal blasting