Conceptual configuration synthesis of line-foldable type quadrangular prismatic deployable unit based on graph theory

2018 ◽  
Vol 121 ◽  
pp. 563-582 ◽  
Author(s):  
Chuang Shi ◽  
Hongwei Guo ◽  
Meng Li ◽  
Rongqiang Liu ◽  
Zongquan Deng
Keyword(s):  
Graph Theory ◽  
Configuration Synthesis

scholarly journals Configuration synthesis of electric-drive transmissions for tracked vehicles

2018 ◽  
Vol 10 (1) ◽  
pp. 168781401774966
Author(s):  
Ming-Fei Gao ◽  
Ji-Bin Hu ◽  
Zeng-Xiong Peng
Keyword(s):  
Graph Theory ◽  
Electric Drive ◽  
Synthesis Method ◽  
Theory Model ◽  
Degree Of Freedom ◽  
Transmission Mechanism ◽  
Necessary Condition ◽  
Tracked Vehicles ◽  
Configuration Synthesis ◽  
Complex Transmission

This article focus on the configuration synthesis of electric-drive transmissions for tracked vehicles. First, a new graph theory model is proposed to represent the transmission mechanism, which makes the complex transmission system easier to understand. Second, a configuration synthesis method is proposed based on kinematics and statics, in which the speed degree of freedom and torque degree of freedom are considered as the constraints of configuration synthesis. Also, the expressions for speed degree of freedom and torque degree of freedom are derived. Third, based on the graph theory model, the necessary condition to achieve skid steering in the transmission of tracked vehicles is obtained. The results of this article can provides a theoretical basis for the design and analysis of transmission mechanism of tracked vehicles.

Configuration Synthesis of Micro/Nano-Positioning Stage Based on Graph Theory

2011 ◽  
Vol 323 ◽  
pp. 3-7
Author(s):  
Chao Lin ◽  
Xin Hui Cui ◽  
Kai Cheng ◽  
Song Song Yu
Keyword(s):  
Graph Theory ◽  
Structural Design ◽  
Spanning Tree ◽  
Design Method ◽  
Structural Characteristics ◽  
Tree Graph ◽  
Positioning Stage ◽  
Bridge Type ◽  
Configuration Synthesis

The purpose of this paper was to generate several possible configurations of micro/nano-positioning stage with bridge-type mechanism based on graph theory. The structural characteristics of stage were discussed first. Then, these modules made up of micro/nano-positioning stage were abstracted. Thus the stage could be described with a tree-graph. According to the spanning tree theory, several possible configurations of stage are enumerated correspondingly. Subsequently, the configuration synthesis of six bridge-type mechanisms was investigated and 720 results were obtained. Rules for generating structures with symmetry are established. On the basis of this, several innovative structures are presented. Furthermore, the result of this paper provides a practicable approach for the structural design of stage and the design method based on graph theory is effective.

Conceptual Configuration Synthesis of Line-Foldable Deployable Space Truss Structures Utilizing Graph Theory and Entropy

2021 ◽  
Author(s):  
Shoufei Wang ◽  
Yong Zhao
Keyword(s):  
Graph Theory ◽  
Graph Model ◽  
Geometric Dimension ◽  
Maximum Clique ◽  
Entropy Change ◽  
Truss Structures ◽  
Space Truss ◽  
Linear Configuration ◽  
Configuration Synthesis ◽  
Necessary And Sufficient

Abstract From the perspective of the truss as a whole, this research presents an approach to synthesizing conceptual configurations for deployable space truss structures that are line-foldable with the help of graph theory and entropy. First, according to graph theory, the bijection between a truss and its graph model is established by defining a bijective mapping between set elements. Therefore, operations can be performed based on graph models. Second, the principle of configuration evolution is interpreted by employing Maxwell’s rule, it also discusses the necessary and sufficient condition of configuration evolution. Configurations of evolution belong to three phases: space configuration, transformation configuration, and linear configuration. And it finds that the reasonable transformation configuration plays a key role. Further, maximum clique detection depending on backtracking is used to screen out unreasonable transformation configurations. Third, it introduces entropy, and the phenomenon of entropy change in configuration evolution is revealed and induction weights of rigid links are defined. It calculates the weight value of a transformation configuration by adding up induction weights of rigid links removed, also, weight values are used to classify transformation configurations. Finally, based on the previous analysis, a procedure to synthesize transformation configurations is formed and it is verified by a truss model with 7 nodes. This research lays the foundation for geometric dimension design and engineering applications.

Conceptual configuration design of line-foldable deployable space truss structures employing graph theory

2022 ◽  
pp. 095440622110621
Author(s):  
Shoufei Wang ◽  
Yong Zhao
Keyword(s):  
Graph Theory ◽  
Graph Model ◽  
Geometric Dimension ◽  
Maximum Clique ◽  
Truss Structures ◽  
Configuration Design ◽  
Topological Graph ◽  
Space Truss ◽  
Configuration Synthesis ◽  
Chordless Cycle

From the perspective of the truss as a whole, this research investigates the conceptual configuration design for deployable space truss structures that are line-foldable with the help of graph theory. First, the bijection between a truss and its graph model is established. Therefore, operations can be performed based on graph models. Second, by introducing Maxwell’s rule, maximum clique, and chordless cycle, the principle of conceptual configuration synthesis is analyzed. A corresponding procedure is formed and it is verified by a truss with seven nodes. Third, assisted by some theorems of graph theory, the simplified double-color topological graph of deployable space truss structures is acquired and it also displays the procedure with a case. Finally, based on the above analysis, it obtains the optimal conceptual configurations. This novel research lays the foundation for kinematic synthesis and geometric dimension designs.

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