Application Discussion on the Bifurcation and Nonlinear Dynamic Theory in Mines

Abstract

Mining is a large-scale and highly complex misalignment system. The progressive damage and disorder development of the rock mass distort as well as the development that the rock mass evolution curve changes from the linear constant speed stage to the distortion stage which is accelerated by misalignment threaten the safety production in mines seriously. Therefore, the research on the rock mass distortion destroys plays an important part in guaranteeing the safety production in mines. This article elaborates the non-linear dynamics branch theory in detail, analyzes the branch phenomenon in slow change and stress-strain of rock mass according to its characteristics and advances the research procedure of the non-linear dynamics branch theory in mining. Moreover, it establishes the dynamic model according to the physical property of system and determines the stability of system using the branch theory.