|
|
To a solution of the resulting movements in the bearings center of the planet gear system with four satellites and their stopped carrier
Hortel, Milan ; Škuderová, Alena
The presented research report deals with examples of the numerical solution of the influence of some parameters on the internal dynamics of a pseudoplanetary transmission system with four single spur toothed satellites and a stopped carrier of satellites of the Wikov PP type, mainly focusing on the solution of the resulting movements in the bearings of the centers of the satellites. The analysis of the dynamic phenomena in the quasi-state is performed for two selected rotations of the central wheel for one period of the resulting stiffness functions in the gear meshes and the assumed error functions in the gear meshes. Attention is paid to the trajectories of the resulting motion of the center of the satellite positioning in the branch, and to the horizontal (tangential) and vertical (radial) resulting movement of the center of the satellite position, and to the relative movement in meshes of all wheel gears.
|
|
|
Dynamic model of planetary gearbox with four satellites and standing planet carrier
Hortel, Milan ; Škuderová, Alena
The precised mathematical and physical weakly and strongly nonlinear parametric dynamic model pseudoplanetary transmission system with kinematic couplings, ie. four satellites with front straight toothing and standing planet carrier (model Wikov type PP) with 28 degrees of freedom was compiled within the project TAČR TA04011656 follow-up to previous research reports Z-1512/14, Z-1521/14, Z-1537/15. Model respects both elastic supports of all gears and by means Heaviside functions possible contact bounces of meshing gear profiles in the area of the lateral tooth clearances. There are a impact effects upon re-contact of tooth flanks both in normal and during the eventual inverse gear meshes, depending on the size of dynamic forces in gearing. Based on the explicit expression of Lagrange equations of this model, the simulation model of transmission system is prepared in MATLAB / Simulink.
|
|
|
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.
|
|
| |
|
|
Amplitude modulation of the time-heteronymous – parametric stiffness function in gear mesh in the dynamic analysis of high-parametric transmission systems
Hortel, Milan ; Škuderová, Alena
For the reliability assurance of mechanical systems generally is necessary their perfect dynamic analysis. By the transmission systems with kinematic couplings – gears – is above all needful the analysis of internal dynamics of these with time-heteronymous weakly and strongly non-linear systems, especially in the area of the high-speed light and highly stressed systems. The contribution deals with the influence of the amplitude modulation of the resulting stiffness function in the gear mesh or its modified form in the conditions of the impact effects on the internal dynamics especially in the pseudoplanetary transmission systems with the split power flow. The numerical simulation of the mathematical-physical model of one branch of the power flow of the pseudoplanetary transmission system is carried out in the technical computing environment MATLAB/Simulink.
|
|
|
K vlivu nelineárního tlumení na bifurkační jevy v záběru ozubení v jedné větvi výkonového toku pseudoplanetové převodové soustavy
Hortel, Milan ; Škuderová, Alena
The aim of this contribution is the analysis of damping properties both the material of gear mechanics in the mesh and the lubricating oil film in the tooth space at the tooth profile contact bounces into the area of the technological gear backlash. The damping influence over gear mesh stability is pursued on the special case of the simulation model of the system with split power flow for the selected frequency range of the resonance characteristics. The nonlinear damping in gear mesh and in gear system is concerned significantly in the amplitude progress, greatness and phase shift of relative motion towards stiffness function alternatively towards its modify form in gear mesh.
|
|
| |
|
|
Influence of linear and nonlinear damping on the stability of motion of kinematic pairs of gears
Hortel, Milan ; Škuderová, Alena
The damping of dynamic phenomena in the structural complicated mechanical systems with different i.e. rigid or liquid substances of elements is the matter till this time generally recondite. The contribution deals therefore both qualitative and quantitative with the model of different combinations of linear and nonlinear - quadratic and cubic - damping both in the phase of normal gear mesh and in the phase of dynamic tuning when happens to contact bounces of tooth faces in gear mesh and to following contacts with impacts.
|
|
| |
|
|
To issue of impact effects in planetary transmission systems with spur gears
Hortel, Milan ; Škuderová, Alena
The designing of gear systems with split power flow needs to be based on the perfect knowledge of dynamic phenomena in these light weekly and strongly nonlinear parametric systems. One in the notable dangerous effects of internal dynamics of such systems are impact effects due to tooth backlash existence in gear mesh. The contribution deals with simulation analysis of dynamic properties of impact effects in damping dependence for special case of system with split power flow.
|
guest ::
