岩板振动失稳的燕尾突变模型  

Swallowtail catastrophe model of rock plate instability due to vibration

作　　者：张天军[1] 任树鑫[1] 李树刚[2] 许鸿杰[1] 左晓丽[3] 

机构地区：[1]西安科技大学理学院,陕西西安710054 [2]西安科技大学能源学院,陕西西安710054 [3]山西利民工业有限责任公司,山西太原030027

出　　处：《西安科技大学学报》2009年第5期564-569,共6页Journal of Xi’an University of Science and Technology

基　　金：国家自然科学基金项目(50874089,50534049);陕西省教育厅专项科研基金项目(08JK366)

摘　　要：为了获得采掘过程动态载荷对层状岩体稳定性的影响,建立了岩板力学模型,给出了岩板系统的总势能表达式,应用燕尾突变理论,给出了岩板系统在面内应力、法向应力和振动载荷控制下失稳的分叉集方程。研究表明:控制变量u的变化会引起岩板的稳定性发生变化,当平衡曲面方程没有实根或取正根时,岩板处于稳定状态;当平衡曲面方程取负根时,岩板处于不稳定状态。In order to determine the influence of dynamic loads on the instability of layered rocks during mining process,a rock plate model was established and the total potential expression of the rock plate system was given.The swallowtail catastrophe model was used to establish a bifurcation set equation for the rock system instability under the control of in-plane stress,normal stress and vibrating loads.The study shows that the change in control variable u causes the change in rock plate stability state.The rock...

关 键 词：燕尾突变 振动 失稳 岩板 

分 类 号：TD313[矿业工程—矿井建设]