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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Planetary differential system - simulation model
 Hortel, Milan ; Škuderová, Alena
The system of motion equations of mathematical-physical model of the planetary gear differential system with three double satellites with the front straight teeth prepared on the basis of a mass discretization and Lagrangian theory, which expresses, in a compact form, motions with regard to the possible impact effects in gearing, was transferred to the explicit form for the second derivatives of the generalized coordinates. For the rebuilt system of 42 weakly and strongly nonlinear parametric differential equations describing the motion in individual gear meshes, in their bearings and motion of the satellite carrier is built the first version of the simulation model in Matlab / Simulink, which allows, for given parameters, the analysis of the dynamic characteristics of the modeled gear systems .
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Dynamics of nonlinear parametric planetary systems with kinematic constraints
 Hortel, Milan ; Škuderová, Alena
The report thoroughly discusses the theory of dynamics of planar mathematical-physical models of planetary differential and special cases of pseudoplanetary transmission systems. Due to the existence of the tooth backlashes, the system is seen as a discrete nonconservative strongly nonlinear parametric and multifrequency excited system with many degrees of freedom. The equations of motion are derived and compiled on the basis of the Lagrangian theory in a compact form and express the three areas of the gear mesh, ie. the range of normal gear mesh, gear backlash area and the area of the inverse gear mesh. After the rebound meshing gear profiles in the region of the side gear backlash, the impact effects occur when re contacting tooth flanks in both normal as well as during the eventual inverse mesh, depending on the size of the dynamic forces in the gearing.
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