Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory

In this paper, the graph theory model of the kinematics of the double internal meshing planetary gear is established by splitting the k value of the planetary gear, the system matrix of the dual-state logic planetary gear transmission is assembled, the logic characteristics of the dual-state logic p...

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Main Authors: Qiang Zhang, Zhe Wu, Jingtao Shen, Suxiao Cui, Yanping Cui
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/5/1773
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author Qiang Zhang
Zhe Wu
Jingtao Shen
Suxiao Cui
Yanping Cui
author_facet Qiang Zhang
Zhe Wu
Jingtao Shen
Suxiao Cui
Yanping Cui
author_sort Qiang Zhang
collection DOAJ
description In this paper, the graph theory model of the kinematics of the double internal meshing planetary gear is established by splitting the k value of the planetary gear, the system matrix of the dual-state logic planetary gear transmission is assembled, the logic characteristics of the dual-state logic planetary gear transmission control are analyzed, the logic characteristic table of the 32-gear control is established, and the system model of the kinematics analysis and calculation of the entire planetary gear transmission is established. The expressions of rotational speed and transmission ratio of each component (including planetary gear) of the planetary gear in 32 gears are solved and obtained. The efficiency expression of each gear is derived through the Kleinas method, the calculation of the transmission ratio and efficiency of the 32 gears is completed, and the system efficiency diagram is drawn, which provides a reliable basis for the structural design, shift dynamic simulation analysis, and test verification of the dual-state logic planetary transmission.
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spelling doaj.art-dfc17522db374a75a5647089eee15c412024-03-12T16:38:52ZengMDPI AGApplied Sciences2076-34172024-02-01145177310.3390/app14051773Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph TheoryQiang Zhang0Zhe Wu1Jingtao Shen2Suxiao Cui3Yanping Cui4Key Laboratory of Vehicle Transmission, China North Vehicle Research Institute, Beijing 100072, ChinaSchool of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, ChinaSchool of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, ChinaSchool of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, ChinaSchool of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, ChinaIn this paper, the graph theory model of the kinematics of the double internal meshing planetary gear is established by splitting the k value of the planetary gear, the system matrix of the dual-state logic planetary gear transmission is assembled, the logic characteristics of the dual-state logic planetary gear transmission control are analyzed, the logic characteristic table of the 32-gear control is established, and the system model of the kinematics analysis and calculation of the entire planetary gear transmission is established. The expressions of rotational speed and transmission ratio of each component (including planetary gear) of the planetary gear in 32 gears are solved and obtained. The efficiency expression of each gear is derived through the Kleinas method, the calculation of the transmission ratio and efficiency of the 32 gears is completed, and the system efficiency diagram is drawn, which provides a reliable basis for the structural design, shift dynamic simulation analysis, and test verification of the dual-state logic planetary transmission.https://www.mdpi.com/2076-3417/14/5/1773double internal meshing gearbimodal logicplanetary gearboxkinematic analysisefficiency
spellingShingle Qiang Zhang
Zhe Wu
Jingtao Shen
Suxiao Cui
Yanping Cui
Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory
Applied Sciences
double internal meshing gear
bimodal logic
planetary gearbox
kinematic analysis
efficiency
title Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory
title_full Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory
title_fullStr Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory
title_full_unstemmed Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory
title_short Research on Kinematics and Efficiency Calculation of Binary Logic Planetary Gearbox Based on Graph Theory
title_sort research on kinematics and efficiency calculation of binary logic planetary gearbox based on graph theory
topic double internal meshing gear
bimodal logic
planetary gearbox
kinematic analysis
efficiency
url https://www.mdpi.com/2076-3417/14/5/1773
work_keys_str_mv AT qiangzhang researchonkinematicsandefficiencycalculationofbinarylogicplanetarygearboxbasedongraphtheory
AT zhewu researchonkinematicsandefficiencycalculationofbinarylogicplanetarygearboxbasedongraphtheory
AT jingtaoshen researchonkinematicsandefficiencycalculationofbinarylogicplanetarygearboxbasedongraphtheory
AT suxiaocui researchonkinematicsandefficiencycalculationofbinarylogicplanetarygearboxbasedongraphtheory
AT yanpingcui researchonkinematicsandefficiencycalculationofbinarylogicplanetarygearboxbasedongraphtheory