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2022 | Book

Automatic Structural Synthesis and Creative Design of Mechanisms

Authors: Prof. Huafeng Ding, Prof. Wenjian Yang, Prof. Andrés Kecskeméthy

Publisher: Springer Nature Singapore

Book Series : Springer Tracts in Mechanical Engineering

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About this book

This book provides a comprehensive overview of the current research status and open problems in the field of structural synthesis, based on which a systematic methodology for the structural analysis of planar kinematic chains, structural synthesis of planar kinematic chains, and creative design of mechanisms is presented.

The method presented in this book not only promotes the development of theoretical research in the field of mechanical science, and the development of industrial software for the creative design of mechanisms, but also generates novel high-performance mechanisms suitable for industrial application, which can improve the work efficiency and economic benefits.

This book offers theoretical guidance for students and researchers engaged in the field of mechanical engineering, especially the creative design of mechanism.

Table of Contents

Frontmatter
Chapter 1. Introduction
Abstract
A comprehensive overview of the current research status and open problems in the field of structural synthesis is discussed, and the purpose and arrangement of this book are introduced.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy

Topological Structure Analysis

Frontmatter
Chapter 2. Basic Concepts of Graphs of Kinematic Chains
Abstract
Some fundamental concepts of graph theory that are necessary for the structurual analysis and synthesis of kinematic chains and mechanisms are introduced.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 3. Unified Graph Model of Planar Kinematic Chains
Abstract
The topological models of planar kinematic chains with simple joints, multiple joints and geared joints are proposed and the relationships between these models are revealed.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 4. Loop Algebra of Kinematic Chains
Abstract
An original loop algebra theory is proposed to analyze the topological structure of kinematic chains.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 5. Unified Isomorphism Detection for Planar Kinematic Chains
Abstract
A unified isomorphism detection method that is suitable for simple joint kinematic chains, mimple joint kinematic chains and planetary gear trains is developed.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 6. Unified Rigid Sub-chain Detection for Planar Kinematic Chains
Abstract
A unified method called the loop superposition method is proposed to detect rigid sub-chains in simple and multiple joint kinematic chains and planetary gear trains.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy

Topological Structure Synthesis

Frontmatter
Chapter 7. Structural Synthesis of Contracted Graphs of Kinematic Chains
Abstract
The relationships between the contracted graphs of planar kinematic chains are revealed first. Then a fully-automatic method is proposed to synthesize the whole family of contracted graphs for planar non-fractionated kinematic chains with all possible DOFs.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 8. Structural Synthesis of Simple Joint Kinematic Chains
Abstract
A general method is proposed to synthesize planar non-fractionated kinematic chains based on the atlas of contracted graphs. The method is fully-automatic and designer-friendly, and planar non-fractionated kinematic chains with up to 19 links are succesfully synthesized.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 9. Automatic Sketching of Planar Kinematic Chains
Abstract
A method for the automatic sketching of kinematic chains is presented. First, a layout algorithm based on the move of inner edges is proposed to determine the optimal layouts of topological graphs. Then, these topological graphs are automatically converted into the corresponding kinematic chains via a correction algorithm.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 10. Automatic Synthesis of Inversions of Kinematic Chains
Abstract
An automatic method is presented to generate non-isomorphic inversions from the atlas of planar non-fractionated simple joint kinematic chains. A complete set of inversions of planar non-fractionated simple joint kinematic chain with up to 19 links are automatically synthesized.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 11. Structural Synthesis of Fractionated Kinematic Chains
Abstract
Based on the structure characteristics of fractionated kinematic chains, a general synthesis equation of planar fractionated kinematic chains is proposed first. Then an automatic method is proposed to synthesize planar fractionated kinematic chains by the combination of planar non-fractionated kinematic chains, and the whole family of planar fractionated kinematic chains up to seven basic loops is synthesized via this method.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 12. Automatic Synthesis of Kinematic Chains with Prismatic Pairs
Abstract
An automatic method is presented to synthesize planar kinematic chains with prismatic pairs. A new algorithm based on the parameters of degree, weight, degree-sequence and weight-sequence is developed to resolve the key isomorphism problem. Kinematic chains with prismatic pairs and with up to 14 links are synthesized.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 13. Automatic Synthesis of Planar Multiple Joint Kinematic Chains
Abstract
Based on the bicolor topological graph and its inter-convertible characteristics with that of simple joint kinematic chains, an automatic method is proposed to synthesize multiple joint kinematic chains from the atlas of simple joint kinematic chains. The whole family of multiple joint kinematic chains with up to 16 links is synthesized via this method and corresponding classified atlas databases are also established.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 14. Automatic Synthesis of Planetary Gear Trains
Abstract
A systematic and fully automatic method based on parent graphs is presented to synthesize 1-DOF and non-fractionated 2-DOF PGTs. The complete database of rotation graphs and displacement graphs of 1-DOF and 2-DOF PGTs with up to nine links is established for the first time. Besides, all possible reasons for the contradictory synthesis results in the literature are analyzed and the exact synhtesis results are confirmed by making a contrastive analysis with the existing results.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy

Conceptual Creative Design of Mechanisms

Frontmatter
Chapter 15. Automatic Computation of Connectivity in Kinematic Chains
Abstract
A new formula for the connectivity calculation between two links is proposed, based on which an automatic method to acquire the connectivity matrix for planar closed kinematic chains is developed. This method can be used to automatically generate the mechanisms whose base and end-effector have the required connectivity from the synthesized kinematic chains, hence it is useful for the creative design of mechanisms.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Chapter 16. Conceptual Creative Design of Mechanisms
Abstract
Based on the structural synthesis and classified atlas databases of simple joint kinematic chains, multiple joint kinematic chains and planetary gear trains, a creative design method is proposed to obtain all the feasible mechanisms for a specified task from the topological graphs in the classified atlas databases subject to design constraints. Examples of the creative design of 2-DOF road tractors, 3-DOF hydraulic driven excavators, 6-DOF forging manipulators and 9-speed automatic transmissions are conducted to show the effectiveness of this method.
Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy
Backmatter
Metadata
Title
Automatic Structural Synthesis and Creative Design of Mechanisms
Authors
Prof. Huafeng Ding
Prof. Wenjian Yang
Prof. Andrés Kecskeméthy
Copyright Year
2022
Publisher
Springer Nature Singapore
Electronic ISBN
978-981-19-1508-6
Print ISBN
978-981-19-1507-9
DOI
https://doi.org/10.1007/978-981-19-1508-6

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