Larionov M. Mathematical modeling of resistance process for deep trough belt moving in conveyor idlers

The skill work is dedicated to the actual research task solving - a deep trough belt parameter proved choice with mathematical modeling of resistance process for deep trough belt moving through conveyor idlers. Resent models analysis to mechanism of resistance force appearance due to belt motion through conveyor idlers was done. Therefrom a new model was proposed. It is based on a solid cylinder rolling on a curved viscoelastic layer lying on a solid founda-tion with taking into account the belt bending rigidity and bulk deformation. As a result resistance coefficient due to deep tough belt motion through conveyors idlers (RCBM) dependences vs. tractive efforts, belt velocity, visco elastic material properties, belt tough and physics and mechanics bulk parameters. Constructive conveyor parameters influences on RCBM were investigated for three and five rollers idlers. At first were established the main influence upon RCBM factor it is the bend belt bending, which caused the bulk deformation on conveyors idler under active and passive pressures on sides rollers and bend visco-elastic belt deformation delay under it motion. The main resistance force components are bend belt and bulk deformation. Has got the further development a solid cylinder rolling on a curved viscoelastic layer lying on a solid foundation theory, contact roller - bend deformed interaction belt, sequence approximation method sphere expand in solid structure. Adequacy of applied models and therefrom obtained results were verified with some experiments. Analytical dependencies for all components of RCBM were proposed.