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MATHEMATICAL MODELS OF POWERED ROOF SUPPORT INTERACTION WITH SURROUNDING ROCKS
Abstract
The paper deals with the study of Powered roof support analysis, taking into account the interaction with surrounding rocks. In this respect, an analytical model of kinematics and load of the shield, a differential model of the shield-rock system equivalent stiffness and a Fuzzy logic based analysis of the parameters variation are presented. In the first two models, the classical approach of shield mechanics, the loading scheme was modified by taking into account the horizontal force acting between the roof and the canopy which was presumed to be a frictional force, and the capsule force according to maximal yield force of the legs are determined for different values of the location of normal force on the canopy. Also, a differential equation has been derived, in order to obtain the time-dependent variation of the shield reaction taking into account the roof convergence, and the operation of the safety valve. The Fuzzy logic based method is used to derive the response surfaces/curves representing the dependence between basic parameters of the shield, as the initial setting pressure, and the stiffness on the response metric, i.e. the convergence and load increase during a working cycle.
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