Configuration Synthesis and Performance Analysis of 9-Speed Automatic Transmissions

Ding, Huafeng; Cai, Changwang; Chen, Ziming; Ke, Tao; Mao, Bowen

doi:10.1186/s10033-020-00466-y

Cited by 15 publications

(6 citation statements)

References 44 publications

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“…The graph theory modeling method abstracts the research problem into a graph composed of a set of points and a set of lines connecting each point and comprehensively applies mathematical theory to solve the problem. Based on graph theory, dots are used to represent various components of the planetary gear mechanism (including control elements), and lines are used to represent connection relationships between the components [28][29][30][31][32][33][34][35][36][37]. Figure 2a is a three-speed planetary gear transmission, and the overall performance analysis model is shown in Figure 2b.…”

Section: Performance Analysis Model Of Automatic Transmissionmentioning

confidence: 99%

Motion, Static Force, and Efficiency Analysis of Planetary Gear Transmission Based on Graph Theory

Xue,

2023

Applied Sciences

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This paper employs graph theory to analyze kinematic relationships, static force, and power flow for planetary gear systems. We start from the graphs of these trains to determine all the structurally distinct kinematic inversions. We then obtain all the constructive solutions resulting from every possible combination of gear configuration. Based on the kinematic and static force analysis model, related matrices are acquired. Hence, a kinematic and static force analysis of the planetary gear mechanism is achieved. The link power can be determined by the link speed and torque. Power flow diagrams of each gear are acquired. The efficiency is calculated by the transmission ratio method. This analysis is useful in the design of power transmission applications. A planetary gear system of a 6HP26 automatic transmission is further illustrated for the motion, static force, and efficiency calculations by using graph theory technique and matrix equations. This paper provides a guide for engineers in gear transmission fields to easily finish mechanical transmission design.

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Section: Performance Analysis Model Of Automatic Transmissionmentioning

confidence: 99%

Motion, Static Force, and Efficiency Analysis of Planetary Gear Transmission Based on Graph Theory

Xue,

2023

Applied Sciences

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“…Then, as the core of structural synthesis, isomorphism identification aims to exclude repeated structure types. Many scholars have proposed various isomorphism identification methods for PGTs, such as loop algebra theory [13,22], displacement group theory [23], multi-order adjacent vertex assignment sequence [24], equivalent resistance matrix [25], and vertex correlation polynomial and vertex distance [26][27], topological index [28], and modified eigenvalue eigenvector [29].…”

Section: Introductionmentioning

confidence: 99%

A synthesis method for planetary gear trains based on new topological model and similarity

Huang

Sun

et al. 2023

Preprint

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With the development of computer technology, intelligent innovative design of mechanical equipment has become a popular topic. The structural design is a prerequisite for the creation of mechanical equipment. Therefore, this study focuses on the structural synthesis of planetary gear trains (PGTs), and proposes a new topological model and synthesis method of PGTs to address the existing research problems. First, the structural characteristics of PGTs are analyzed to explore the relation between their axles, gears, and planet carriers, and the corresponding topological model and the adjacency matrix expression of PGTs are provided. Then, the topological elements corresponding to the axles, gears, and gear pairs are added sequentially to the topological graph corresponding to the planet carriers, and the constraints are established based on similarity to inhibit the generation of isomorphism. Finally, all the databases of feasible PGTs are obtained through gear loop discrimination. All processes are carried out with computer assistance. The synthesis results of the PGTs with 1–3 degrees of freedom and up to 10 components are presented.

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“…1(a). After determining the configuration synthesis [3,4] of mechanisms, the workspace analysis can be regarded as the first crucial step in the procedure of dimension synthesis [13,14]. However, because the workspace is embedded in a six-dimensional space which cannot be represented graphically in a readable way, its rendering and evaluation are especially challenging.…”

Section: Introductionmentioning

confidence: 99%

Workspace optimization of a humanoid robotic arm based on the multi-parameter plane model

Sun

Shuai

et al. 2022

Robotica

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The paper deals with the workspace-based optimization of a novel humanoid robotic arm. The eight-degree-of-freedom hybrid manipulator that conforms to the kinematics characteristics of the human arm is briefly introduced. According to the structural features of this mechanism and the requirements of tasks in the complex environment, the workspace is divided into three parts, the orientation space of the humanoid shoulder joint, the position space of the humanoid elbow joint, and the active orientation space of the end-moving platform. Moreover, a multi-parameter planar model is proposed for the optimization problem with multidimensional parameters and highly nonlinear constraints. Based on the visualized optimization result, the coupling effect of each parameter on the corresponding workspace is clearly presented. Considering the compactness and the processing and assembling technology of this mechanism, a set of structural parameters satisfying the workspace-based optimization objective is obtained. Simulation results show that the corresponding workspace of the three parts has increased significantly by the factor of 1.45, 1.68, and 1.3, respectively.

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Configuration Synthesis and Performance Analysis of 9-Speed Automatic Transmissions

Cited by 15 publications

References 44 publications

Motion, Static Force, and Efficiency Analysis of Planetary Gear Transmission Based on Graph Theory

Motion, Static Force, and Efficiency Analysis of Planetary Gear Transmission Based on Graph Theory

A synthesis method for planetary gear trains based on new topological model and similarity

Workspace optimization of a humanoid robotic arm based on the multi-parameter plane model

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