Abstract:Starting f rom the basic equation of elastic mechanics , without any additional hypotheses of displacement or st ress model , just int roducing state space and state equation , the model of Complex Laminated Plates for Rock St rata Movement is made. In addition , using displacement as a basic unknown variable , the accurate analytical se2 ries solution for the problem of st rata movement caused by ext raction of horizontal seam is obtained when t rans2 versely isot ropic elastic layers are in sliding contact state. A new approach is put forward to solve the complicated system of mining subsidence.