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Chaos Dynamic Analysis on Nonlinear Rock Beam of Rock Burst

Author: WuWenBin
Tutor: HuQianTing；ChengGuoQiang
School: Shandong University of Science and Technology
Course: Solid Mechanics
Keywords: nonlinear rock beam disturbance chaos roofrock burst quantitative criterion
CLC: TD324
Type: Master's thesis
Year: 2010
Downloads: 73
Quote: 0
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Abstract


Rock burst is one of the most common and difficult hazard in mining engineering. Domestic and foreign experts have studied it for a long time, until now, the essential reasons of this hazard have not been thoroughly understood due to the complexity of the hazard. This paper quantitatively analysis instability criterion of the burst hazard in chaos dynamics theory, presents the new research thinking and method, and provides the theory foundation for rock bust prevention and cure. The research methods and achievements of this paper are as follows:(1) The mechanical model of folder-type, clamped-clamped and cantilever rock beam was established to analyze the roof with disturbance. The cubic nonlinear elastic constitutive law was used to describe the strain-softening characteristics of rock. By using of Galerkin method, differential dynamic system was obtained and the condition of dynamic instability critical state and disturbance criterion for the instability were determined by Melnikov method, and calculated the system through sub-harmonic bifurcation into chaos;(2) The mechanical instability criterion and disturbance criterion which used to judge the roof rock burst occurred were obtained by the chaos theory. This paper thought the roof rock beam has the characteristics of chaotic system, namely randomness and sensitivity to initial conditions;(3) The condition estimated unstable equilibrium station of roof system could as the criterion of roof rock burst. The dual criterion is established for the stability control of roof with burst hazard through the comparison between instable span and limited span;(4) Rock burst hazard for roof and tensile strength is closely related through the analysis of dual criterion, the smaller the tensile strength, the less the rock burst hazard;(5) Rock burst occurred geological structure belt more, this paper analyzed the horizontal tectonic load, and the instability criterion is influenced distinctly by horizontal tectonic load, the larger horizontal tectonic load, the smaller the instable span;(6) There were two reasons that the limit span calculated in strength theory was failure: first, coal simplified linear elastic material model, considering only the peak intensity, did not consider the post-peak softening effect; second calculation considered only the pure bending under transverse load, does not consider the composite bending under axial force;(7) This paper, according to the instability theory, got the potential energy function of system through Hamilton method; obtained the mechanical condition and disturbance criterion which quantitatively judged the roof instability. This paper thought roof could be dynamic buckling when it failed to reach the strength and it is a further understands and development for instability theory.

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CLC: > Industrial Technology > Mining Engineering > Mine the pressure and support > Rock pressure and rock movement > Rockburst
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