摘要
从弹性力学基本方程出发 ,未加任何有关位移和应力模式的附加假设 ,利用系统方法 ,引入关态空间 ,推导出状态方程 ,建立了岩层移动的复合层板模型。并以位移为基本未知量 ,在横观各向同性和层间滑动接角状态下 ,解出开挖水平煤层引超的岩层移动问题的精确级数解 。
Starting from the basic equation of elastic mechanics, without any additional hypotheses of displacement or stress model, just introducing state space and state equation, the model of Complex Laminated Plates for Rock Strata Movement is made. In addition, using displacement as a basic unknown variable, the accurate analytical series solution for the problem of strata movement caused by extraction of horizontal seam is obtained when transversely isotropic elastic layers are in sliding contact state. A new approach is put forward to solve the complicated system of mining subsidence.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2001年第2期197-201,共5页
Chinese Journal of Rock Mechanics and Engineering
关键词
岩层移动
复合层板
状态空间
状态方程
弹性力学
Elasticity
Laminates
Mathematical models
Mining
Plates (structural components)
State space methods
Subsidence
