Stanisław Zawiślak

Graph-Based Models of Compound Planetary Gear Boxes

In the paper, graph-based models of planetary gears are presented. Especially, compound planetary gear boxes are analyzed. The rules of assignment of particular graphs are shortly described. Based upon these models, ratios for consecutive drives are calculated. Graph transformations are introduced aiming for presentation of every single drive separately. Kinematic equations are generated in algorithmic way based on the adequate subgraphs as well as their codes. Compatibility of results - obtained by means of different methods - was achieved. The presented method is simple and effective, moreover it can be used for other design tasks as e.g. optimization and further analyzes i.e. evaluation of effectiveness.

Analysis of Automatic Automotive Gear Boxes by Means of Versatile Graph-Based Methods

Automotive gear boxes are special mechanisms which are created based upon some planetary gears and additionally equipped in control systems. The control system allows for an activation of particular drives. In the present paper, some graph based models of these boxes are considered i.e. contour, bond and mixed graphs. An exemplary automatic gear box is considered. Based upon the introduced models, ratios for some drives have been calculated. Advantages of the proposed method of modeling are: algorithmic approach and simplicity.

Modelling Multi-Way Planetary Gears by Means of Contour Graphs

The present paper presents multi-way planetary gears modelled by means of contour graphs. The goals of modelling could be versatile: ratio calculating via algorithmic generation of equations, the analysis of forces and acceleration or optimization and structure analysis. The article describes an exemplary gear. Several drives/gears are consecutively taken into account discussing functional schemes, assigned contour graphs and a generated system of equations and their solutions. The advantages of the method include an algorithmic approach and a general approach where particular drives are the cases of the generally created model. Moreover, the method allows further examination and synthesis tasks, e.g. checking the isomorphism of design solutions.

Kinematics and Dynamics of Compound and Complex Gear System

Analysis of planetary gear coupled with additional friction gear is analyzed in the present paper. The parts of the system are a compound planetary gear and a friction or hydro-kinetic gear. The kinematical and dynamical analyzes are described. Some variants of the system are considered. The standard methods e.g. Willis formulas and graphical-analytical methods were utilized.

Synthesis of Planetary Gears by Means of Artificial Intelligence Approach ‒ Graph-Theoretical Modeling

Graph-based modeling of planetary gears was applied in the presented research work for their synthesis. The tailored Hsu and contour graphs were used. Graphs encode the structure (layout) of a planetary gear and upon them - the systems of equations can be generated. These systems enable determination of rotational velocities of planetary gear elements. The method is algorithmic and simple. It allows for an easy comparison of different design solutions and selection of the most appropriate one. The list of the possible modes of operation for an exemplary planetary gear is also provided in the paper.

Modelling of mechanical system by means of matroids

In this paper the generalized network conception has been used. Some equivalent definitions of matroids and theorems related to spaces of hypercycles and hyperco-cycles were quoted to establish the nomenclature and notions. A graph of the mechanical system was considered. Based upon this explanation, mechanical system has been analysed as the generalized network. Generalized Kirchhoffs laws have been taken into account. The method of calculation of responses of the system for a given load has been presented.

Charts of Relative and Absolute Velocities of Chosen Parts of Plane Biplanetary Gear

The aim of the present paper consists in presentation of new method of kinematical analysis of biplanetary gear. In particular, the method lies in preparation of chats of relative and absolute tangent velocities of particular gear parts. The algorithm is based on less complicated approach of determination of distribution of relative tangent velocities of wheels and arms of the considered gear. The obtained value of kinematical ratio was additionally achieved via other known analytical method, for comparison.

Kinematical Analysis of Variants of Wind Turbine Drive by Means of Graphs

Variants of a wind turbine drive are discussed in the paper. The drive should be adjustable. The control tools should be reliable and simple. Several variants of drive system based upon a compound planetary gear accompanied by a friction gear are analysed and compared. Graph models had been used for analysis of the gear itself. The analysis of the whole system using graphs is proposed via modification of known approaches. The analysis of results shows their full compatibility.

Dynamics of Linkage Mechanism Solved by Means of Contour Graphs and Bond Graphs

The dynamical analysis of a linkage mechanism is described in the paper. The contour graph method was utilized. The method allows for assigning a contour graph to a particular mechanism. In next step analysis is performed in algorithmic manner distinguishing the contours and generating kinematical and dynamical equations based upon theses contours. Decomposition of the system is utilized, therefore more simple subsystems are analyzed. Aggregated solution is compatible with all other classical methods however the approach is algorithmic and effective.