摘要
应用Koiter的初始后屈曲理论,视作用于顺层边坡岩体结构上的法向分力为初始缺陷,以探讨非完善系统的不稳定性。给出了边坡岩体分叉点附近的邻域,建立了一般情形下边坡岩体分叉点的平衡构形判据,以及后屈曲平衡路径和后屈曲平衡构形的稳点性准则。证实了结构初始缺陷对屈曲的影响与突变理论在揭示结构临界平衡性态时的一致性。提供了一定条件下确定非完善结构位移场的一种方法。
Using Koiter＇s theory of initial post-buckling, and considering normal component force acted on side slope with bedding rock mass as initial imperfection, the unstability of imperfection system is studied. Nearby region at bifurcation point of rock mass slope is derived; the stability criteria of side slope relating to equilibrium path of post-buckling, equilibrium configuration of bifurcation point and post-buckling are established in the form of general side slope. It is shown that exploring critical equilibrium behavior of rock mass slope, influence of structural initial imperfection on post-buckling is in accordance with some conclusions of cusp catastrophe theory, and a method of determining displacement field of imperfection structure is presented on some condition.
出处
《西安科技大学学报》
CAS
北大核心
2006年第4期576-579,584,共5页
Journal of Xi’an University of Science and Technology
关键词
顺层边坡
初始后屈曲
缺陷敏感性
分叉点
平衡路径
平衡构形
side slope with bedding rock mass
initial post-buckling
imperfection sensitivity
bifurcation point
equilibrium path
equilibrium configuration
