Study On Whole Shear Statics Mechanical Modeling And Solution Method

The condition of Shearer is complicated and changeable in the working process,four-point supporting was formed by 2 smooth boots and 2 guide boots,which is belonging to the statically indeterminate of low-speed and heavy-load large span,this paper took MG500/1180 shearer as research object,establishing the shearer space statics mechanics equations and solving equations The main research works are as follows:By analyzing the force situation of Shearer in cutting,according to the classical statics principle,considering the influence of the heeling angle and pitch angle of Shearer,analyzing the characteristics of the equations,discussing the uncertainty of the equation coefficient matrix.The solving variable of the equation is reduced by the small deformation coordination principle,and the statics mechanical equations of the shearer are established.In allusion to the uncertainty of the coefficient of shearer statics equations,caused by friction between the guide boots,smooth boots and the middle plates of drag conveyor,the static equations of the whole machine are solved by the traditional method,the least square method,the linear complementary methods and the smooth Newton method respectively.The traditional method adopted the assumption that the force of the forward guide boots is zero,obtianing the precise solution of the mechanical model of the shearer.The least squares method,which is based on the principle of generalized inverse matrix,giving the algorithm for solving the shearer statics equation when the coefficient matrix was not full-rank.Considering the shearer static equation was a fuzzy equation,based on the linear complementary theory,transforming the fuzzy equation of shearer into a linear complementary model,using the internal point method to solve the linear complementary model.Considering the variable coefficient in the statics equation of shearer,a smooth function approximation to the original function is made.By solving the smoothing function,an approximate solution of the original equation can be obtianed.The drum three-direction load,guide boots load,and smooth boots load is tested by using the fully-mechanized coal winning equipment mechanical property test-bed and compared with the method of static mechanics model under different methods,the results show that:The smooth Newton algorithm has the highest precision,its standard deviation is 5.64 ×105N and the worst static is linear complementary method,its standard deviation is 7.55×105N.Based on the theory of smooth Newton,the statics equations of the shearer under the linear working condition and the oblique cutting condition are solved,and the three dimensional diagram of smooth boots support force,guide boots support force and guide boot lateral support force are obtained respectively.In order to observe the forced situation of the smooth boots and guide boots,the average value curve of the smooth support force,the guide boots support force and guide boots lateral support force under different heeling angle and pitch angles are plotted.