|
|
Combined linear and non-linear time heteronymous damping in internal dynamics of non-linear parametric systems
Hortel, Milan ; Škuderová, Alena
In the process of the design of high speed planetary gear systems with minimum dimensions and masses are not sufficiently in advance known many of the functional dependencies of parameters such as constant or time heteronomous damping in gear mesh of kinematic pairs, etc. Therefore, it is necessary due to the safety and reliability of these systems that the basic research in this field dealt with this problem deeper both qualitatively and quantitatively, analytically and numerically. The values and functional dependencies, for example of damping parameters of solved systems, are often only estimated. Effects of variations in the size of the estimated parameters from their true values is solved in a wider variation expected ranges, including the impact on the internal dynamics of these systems. In this study are analyzed bifurcation resonance characteristics of relative motion in the gear mesh of system with combined linear and non-linear - quadratic time heteronymous damping on the model of one branch of power flow of pseudoplanetary weakly and strongly non-linear system with six degrees of freedom.
|
|
|
Application of chaotic dynamics in natural and technical sciences
Kratochvíl, C. ; Švéda, P. ; Hortel, Milan ; Škuderová, Alena ; Houfek, M.
During the entire 20th century there was a gradual transformation of scientific research, which has produced in science and technology especially in the extraordinary interest in complex dynamic systems. They are non-linear systems, operating environments and the irreversible complexity in their name means they have complex structures, relations and interactions (often of different physical nature). It turned out that an inherent attribute of these complex systems and chaos (deterministic and stochastic). The article will focus on some aspects of the manifestations of chaos, its spread, as well as identification, suppression and control. We will mention also other important phenomena - the possible emergence of a new order out of chaos.
|
|
|
Quantitative influence of heteronymous damping in gear mesh on internal dynamics of non-linear parametric systems
Hortel, Milan ; Škuderová, Alena
The theoretical works constitute only one side of the basic research of high-parametric complicated transmission planetary differential or pseudoplanetary systems in the process of their analysis. The complete basic reseach of mentioned category of mechanisms requires more deep experimental research by reason of verification of quantitative sizes of structural values of parameters. This is connected with high expenses because the change of parameter in theory can mean in experiment replacement of part or the substitution of whole subsystem. Therefore, the quantitative values, e.g. of the damping parameters, of the solved systems are often only estimated and the influences of these divergences of the estimated parameter sizes from their real values are solving in broad supposed ranges. The quantitative variations of possible influence of time heteronymous damping in gear mesh on the internal dynamics of non-linear parametric system with six degrees of freedom are showed in contribution.
|
|
|
Non-linear time heteronymous dymping in non-linear parametric planetary systems
Hortel, Milan ; Škuderová, Alena
The analysis of dynamics of time heteronymous weakly and strongly non-linear planetary transmission systems with kinematic coupling - gears constitutes a study of complicated function of many parameters including the gearing material damping properties and damping viscous properties of lubricating oil film in gear mesh. The structures with lightening holes in cogwheel discs are characterized by time variable damping in gear meshes. The following contribution deals with this time heteronymous non-linear damping.
|
|
| |
|
|
To the time heteronymous damping in a non-linear parametric planetary systems
Hortel, Milan ; Škuderová, Alena
The present world development of mobile machines leads to a high-powered high-speed constructions with minimum dimensions and masses. By such light high-speed systems as are for example the speed reducers of turbines onto propellers occur in a discs of the cog wheels the lightening holes, which cause the speed heteronomy in the damping properties of wheel discs and thereby the total damping incidence in gear meshes. This study elaborates the methodology of analysis of the influence of time variable damping in gear mesh of kinematic pairs on the internal dynamics of non-linear parametric systems.
|
|
| |
|
|
Bifurcation characteristics in parametric systems with combined linear and non-linear damping
Hortel, Milan ; Škuderová, Alena
The damping or the damping forces represent certain speciality in the investigation of the internal dynamics of the transmission systems. The special significance has this damping parameter especially in the areas of impact effects in the high-speed light aircraft and mobile transmission constructions. On the example of gear mesh in one branch of forces-flow in the pseudoplanetary reducer deals the paper with some partial results of the analysis of the influence of combination damping, i.e. linear and non-linear damping, on the gear mesh dynamics.
|
|
| |
|
|
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.
|
guest ::
