The Method of Searching Trees in Determining of the Optimal Number of Wheel Teeth for a Compound Planetary Gear

Deptuła, Adam; Drewniak, J.; Partyka, Marian A.

doi:10.1007/978-3-030-20131-9_282

Cited by 3 publications

(1 citation statement)

References 12 publications

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“…K. Michal [16] conducted a more in-depth study on non-circular gears. Deptula [17,18] presents the application of an algorithm for determining the optimal number of teeth for composite planetary gears, the application of which generates an optimal range of teeth for each gear. Brown [19] proposed the method of changing tooth profile to further improve the efficiency of non-circular gear hydraulic motors.…”

Section: Introductionmentioning

confidence: 99%

Tooth Profile Construction and Experimental Verification of Non-Circular Gear Based on Double Arc Active Design

Wang,

Gao,

Chen

et al. 2023

Applied Sciences

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The double arc pitch curve is a novel way for creating a non-circular gear tooth profile. Aiming at the problems of the rounding of non-integer teeth and the nonlinear equation system in the construction of double circular arc tooth profile, an active design method based on planetary gear transmission kinematics and gear-meshing theory is proposed. By studying the double arc pitch curve of the three engagement positions, combined with the uniform theory of the relative curvature of surfaces, the distribution characteristics of the solution of the nonlinear equation system are analyzed in depth, leading to the optimal solution of the characteristic parameter values of the pitch curve. Combined with UG modeling and ADAMS motion simulation, the gear engagement force and the angular velocity of the planetary gear around the center are compared and analyzed in the case of integer tooth ratio and non-integer tooth profile. The results show that the engagement force of the gear pair constructed by integer teeth is reduced by about 17%. The optimal combination of the numbers of teeth is determined by orthogonal experiments, on which trial production and hydraulic load tests are based. The results reveal that the torque of the product at a rated speed is about 2.6% higher than that of foreign prototypes, which verifies the effectiveness of the design method proposed in this paper.

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Section: Introductionmentioning

confidence: 99%

Tooth Profile Construction and Experimental Verification of Non-Circular Gear Based on Double Arc Active Design

Wang,

Gao,

Chen

et al. 2023

Applied Sciences

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Chosen Aspects of Analysis and Synthesis of Coupled and Complex Planetary Gears via Search and Contour Graphs Modelling

Deptuła

Drewniak

Kopeć

et al. 2021

Mechanisms and Machine Science

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The Concept of Dependency Game Tree Graphs as a Black Box in the Analysis of Automatic Transmissions

Deptuła

Stosiak

Karpenko

et al. 2022

Transport and Telecommunication Journal

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The methodology of graph theory has long had applications in mechanics. Graphs allow the simultaneous consideration and synthesis of the structure of a real system and the idealized structure of an equivalent model of a mechanical system. In particular, there are many applications of graph theory in the analysis of automatic transmissions. This paper presents continuing research on applications of game tree graphs in the analysis of automatic transmissions. Black box ideas for dependency graphs are presented. This makes it possible to automatically generate simplified models from given physical models of an automatic transmission and to determine the optimal number of teeth. The developed methodology allows also to perform real-time simulations. In a further stage, the methods of decision logic trees can be applied to analyze the functional diagrams of selected gears.

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The Method of Searching Trees in Determining of the Optimal Number of Wheel Teeth for a Compound Planetary Gear

Cited by 3 publications

References 12 publications

Tooth Profile Construction and Experimental Verification of Non-Circular Gear Based on Double Arc Active Design

Tooth Profile Construction and Experimental Verification of Non-Circular Gear Based on Double Arc Active Design

Chosen Aspects of Analysis and Synthesis of Coupled and Complex Planetary Gears via Search and Contour Graphs Modelling

The Concept of Dependency Game Tree Graphs as a Black Box in the Analysis of Automatic Transmissions

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