The Systemic Research on Loop Characteristics of Planar Kinematic Chains and Its Applications

2005 ◽  
Author(s):  
H. F. Ding ◽  
Z. Huang ◽  
Y. Cao
Keyword(s):  
Degree Sequence ◽  
Kinematic Chain ◽  
Loop Analysis ◽  
Topological Graph ◽  
Type Analysis ◽  
Kinematic Chains ◽  
Relationship Of ◽  
The Relationship ◽  
Basic Loop ◽  
Isomorphism Identification

Based on the array representation of loop in topological graph of kinematic chains, this paper proposes two basic loop operations. Their existent conditions and properties of the two operations are also researched. In further loop analysis we discuss the important concepts including the independent loop, canonical degree-sequence and perimeter topological graph. Two Theorems deal with the relationship of loops. Based on above basic theory some important applications are given, such as the isomorphism identification based on the loop set concept, the detection of the rigid sub-chains in a kinematic chain and the type analysis of freedom of kinematic chains.

The Establishment of the Canonical Perimeter Topological Graph of Kinematic Chains and Isomorphism Identification

2006 ◽  
Vol 129 (9) ◽  
pp. 915-923 ◽  
Author(s):  
Huafeng Ding ◽  
Zhen Huang
Keyword(s):  
Adjacency Matrix ◽  
Degree Sequence ◽  
Topological Graph ◽  
Topological Graphs ◽  
Kinematic Chains ◽  
New Concepts ◽  
Element Number ◽  
One To One ◽  
Descriptive Method ◽  
Isomorphism Identification

Some new concepts, such as the perimeter loop, the maximum perimeter degree-sequence, and the perimeter topological graph, are first presented in this paper, and the method for obtaining the perimeter loop is also involved. Then, based on the perimeter topological graph and some rules for relabeling its vertices canonically, a one-to-one descriptive method, the canonical adjacency matrix set of kinematic chains, is proposed. Another very important characteristic of the descriptive method is that in the canonical adjacency matrix set the element number is reduced dramatically, usually to only one. After that, an effective method to identify isomorphism of kinematic chains is given. Finally, some typical examples of isomorphism identification including two 28-vertex topological graphs are presented in this paper.

scholarly journals A joint–joint matrix representation of planar kinematic chains with multiple joints and isomorphism identification

2018 ◽  
Vol 10 (6) ◽  
pp. 168781401877840 ◽  
Author(s):  
Wei Sun ◽  
Jianyi Kong ◽  
Liangbo Sun
Keyword(s):  
Matrix Representation ◽  
Kinematic Chain ◽  
Chain Structure ◽  
Kinematic Chains ◽  
Essential Step ◽  
Matrix Description ◽  
The Matrix ◽  
Chain Synthesis ◽  
The Relationship ◽  
Isomorphism Identification

The synthesis of the kinematic chain needs to obtain the information of the kinematic chain accurately and comprehensively. Isomorphism identification is an essential step in kinematic chain synthesis. In this article, a novel isomorphism determination method of planar kinematic chains with multiple joints based on joint–joint matrix description was proposed. First, a joint–joint matrix is presented to describe the kinematic chain, which can uniquely represent the kinematic chain structure. Then links and joints information were extracted from the matrix. And the link code and joint code were introduced to represent the link attributes and joint attributes, respectively. Furthermore, the standardization rules of joint–joint matrix are proposed. Isomorphism of kinematic chain is identified by comparing links, joints, and matrices. And the relationship between the links and the joints corresponding to the isomorphic kinematic chain is determined. Finally, the examples demonstrate that the method is novel and efficient.

Comparing the Arrangements of Governance and Sustainable Development in OECD Countries: Coupled or Decoupled?

2019 ◽  
Vol 34 (1) ◽  
pp. 99-117
Author(s):  
Huh Taewook
Keyword(s):  
Sustainable Development ◽  
Oecd Countries ◽  
The Other ◽  
Type Analysis ◽  
Ideal Types ◽  
Type 3 ◽  
Relationship Of ◽  
The Relationship

This study attempts to analyze to what extent governance and sustainable development (SD) empirically appear compatible in the thirtyfive OECD countries through the fuzzy-set ideal type analysis, and identify which ideal types appear coupled or decoupled, and then reveal which countries belong to the coupled types or to the decoupled types. In short, twenty-two countries (including Sweden (fuzzy score, 0.953), Denmark (0.920), Finland (0.914), Norway (0.911) in Type 1 (G*S, ‘strong G-S coupled countries’); and Turkey (0.906), Greece (0.833), Mexico (0.828) in Type 4 (g*s, ‘lite g-s coupled countries’) are in line with the accepted conventions regarding the compatible relationship between governance and SD. On the other hand, the rest of thirteen countries (including USA (fuzzy score, 0.815), Luxembourg (0.721), Australia (0.660) in Type 2 (G*s, ‘G-s decoupled countries’); and Slovenia (0.728), France (0.644), Czech Rep. (0.625) in Type 3 (g*S, ‘g-S decoupled countries’) may indicate that the relationship of governance and SD is in fact experiencing tensions in the national contexts. These findings are characterized by the substance (of SD) and procedure (of governance) divide. Considering the results, this study focuses on the idea of reflexivity or reflexive capacity.

scholarly journals Influence of lower leg myofascial kinematic chains on flat feet development of children 7-14 years old

2019 ◽  
Vol 5 (2) ◽  
pp. 28 ◽  
Author(s):  
A. Danyschuk
Keyword(s):  
Experimental Studies ◽  
Kinematic Chain ◽  
Motor Units ◽  
Biomechanical Properties ◽  
Flat Foot ◽  
Kinematic Chains ◽  
Flat Feet ◽  
The Relationship ◽  
Possible Cause ◽  
Anthropometric Study

<p><strong>The aim of the work </strong>is to study the biomechanical properties of the myo-fascial kinematic chain "foot-shin" of children of 7-14 years old with non-fixed and clinically expressed flat-footedness.</p><p><strong>Material and methods</strong>. The study involved 14 children with flat-footedness of grades I-II and 6 children with flat-foot deformity of the foot and 20 children who only had functional disorders of the foot. An anthropometric study of the foot was carried out, electrophysiological indicators of the muscles of the leg were determined, and plantograms were analyzed.</p><p><strong>Results</strong>. The study found a correlation between the indicators of the anatomical and functional state of the foot and the imbalance of the frequency-amplitude indices of the ipsi and contralateral muscles within one link of the myofacial kinematic chain, may be important as one of the factors that contribute to the development of flatfoot. This is confirmed by other indicators and indicate a decrease in the height of the longitudinal arch, a decrease in the metatarsal and heel angles of the arch of the foot. Such changes have a pronounced relationship with age. The results of the work indicate that a possible cause of flattening of the vaulted apparatus of the foot is not only the weakness of its joint-ligament-muscular system, but also above the located kinematic segment - the tibia. The correlation analysis revealed the relationship between the indicators of the development of the anatomical and biomechanical components of the foot and the characteristics of the electromyographic indicators of the muscles of the leg in children 7-14 years old. As a result of a comprehensive study, it was found that during this period of ontogenesis in the formation of flatfoot such electromyographic indicators as frequency-amplitude characteristics of action potentials of motor units of the long and posterior tibial muscles, as well as their tone imbalance, take on major importance.</p><p><strong>Conclutions</strong>. Experimental studies have established that the registered changes in the articular components of the foot of children 7-14 years old lead to a change in the electromyographic parameters of the muscles of the leg, which are involved in the formation of the initial sections of myo-fascial kinematic chains.</p>

The Novel Characteristic Representations of Kinematic Chains and Their Applications

2005 ◽  
Author(s):  
Z. Huang ◽  
H. F. Ding ◽  
Y. Cao
Keyword(s):  
Adjacency Matrix ◽  
Degree Sequence ◽  
Object Oriented ◽  
Kinematic Chain ◽  
Object Oriented Programming ◽  
The Novel ◽  
Topological Graphs ◽  
Kinematic Chains ◽  
Set Up ◽  
Oriented Programming Language

In this paper, based on perimeter topological graphs of kinematic chains, many novel topological concepts including the synthetic degree-sequence, the characteristic adjacency matrix and the characteristic representation code of kinematic chain are proposed. Both the characteristic adjacency matrix and the characteristic representation code are unique for any kinematic chain and easy to be set up. Therefore a quite effective isomorphism identification method is presented depending on the characteristic adjacency matrix. It high effectiveness is proved by many examples. With object-oriented programming language, a program which can sketch topological graphs of kinematic chains has been developed based on the characteristic representation code. Finally, an application software system establishing the atlas database of topological graphs is introduced. And some functions about the atlas database are also presented in this paper.

Mechanism isomorphism identification based on artificial fish swarm algorithm

2021 ◽  
pp. 095440622097756
Author(s):  
Huijun Yi ◽  
Jianpei Wang ◽  
Yongle Hu ◽  
Ping Yang
Keyword(s):  
High Efficiency ◽  
Kinematic Chain ◽  
Topological Graph ◽  
Artificial Fish Swarm Algorithm ◽  
Cad System ◽  
Fish Model ◽  
Artificial Fish Swarm ◽  
Swarm Algorithm ◽  
Mechanism Kinematic ◽  
Isomorphism Identification

The aim of this paper is to propose a practical solution for mechanism kinematic chain isomorphism identification – an artificial fish swarm algorithm. The artificial fish model of mechanism isomorphism identification is established, and behavioral way of the artificial fish is designed. According to isomorphism identification features of topological graph, the process of mechanism isomorphism identification based on artificial fish swarm algorithm is confirmed. The rationality and reliability of artificial fish swarm algorithm on the isomorphic identification of mechanism have been illustrated by a specific example, which provides a new method for intelligent CAD system design of mechanism. It builds a basis for future work in isomorphism identification of mechanism with high efficiency. Isomorphic identification of mechanism will contribute to rational qualitative analysis of mechanism design, perfection of irrationality can be done timely, which is the key factor for mechanical manufacturing. In this paper, we introduce the mechanism kinematic chain firstly, then optimization of artificial fish swarm algorithm is illustrated, and it is shown that how fish swarm algorithm is applied to mechanism kinematic chain. Finally, the feasibility and efficiency of the method are verified by the example of 10 bars, and the complex mechanism can be identified by the example of 14 bars and 18 bars.

Identification of Isomorphism in Kinematic Chains Using Hamming Method

2014 ◽  
Vol 592-594 ◽  
pp. 2723-2727
Author(s):  
Indu Saini ◽  
Vijay Pal Singh
Keyword(s):  
Reliable Method ◽  
Kinematic Chain ◽  
Difficult Problem ◽  
Satisfactory Solution ◽  
Sewing Machine ◽  
Kinematic Chains ◽  
Straight Line ◽  
And Inversion ◽  
Isomorphism Identification

Isomorphism identification is a difficult problem in kinematic chains. There is number of method given by many researchers to detect the isomorphism and inversion of kinematic chain but each has its own shortcomings. Purpose of this paper is to give an efficient and reliable method. An attempt has been made to provide satisfactory solution to detection of isomorphism by using hamming method. The method is implemented on sewing machine, break drum; straight line motion mechanisms have six links kinematic chain.

An Automatic Method for Sketching of Planar Simple and Multiple Joint Kinematic Chains

2015 ◽  
Author(s):  
Huafeng Ding ◽  
Peng Huang ◽  
Zhen Huang ◽  
Andrés Kecskeméthy
Keyword(s):  
Mechanical Design ◽  
Kinematic Chain ◽  
Design Stage ◽  
Automatic Method ◽  
Topological Graph ◽  
Joint Kinematic ◽  
Kinematic Chains ◽  
Visual Understanding ◽  
Fully Automatic ◽  
Edge Crossings

The sketching of mechanisms (kinematic chains) shows designers a visual understanding of the interrelationship among links and joints in mechanical design, but sketching of mechanisms in manually in conceptual design stage is time-consuming and inefficient. In this paper, a fully-automatic method for sketching of planar simple and multiple joint kinematic chains is proposed. First, the complete sets of the topological structures (topological graphs and contracted graphs) of both simple and multiple joint kinematic chains are introduced. Then an algorithm for the layouts of the contracted graphs with minimal edge crossings is proposed. Third, the expression set of binary sub-paths derived from a topological graph is obtained for the sketching of the simple joint kinematic chain, and based on the sketching of the simple joint kinematic chains the sketching of corresponding multiple joint kinematic chains is obtained. Finally, both simple and multiple joint kinematic chains with numbers of links and numbers of basic loops are provided in batch as examples to show the effectiveness of the method.

A Strategy for Geometric Error Characterization in Multi-Axis Machine Tool by Use of a Laser Tracker

2014 ◽  
Vol 615 ◽  
pp. 22-31 ◽  
Author(s):  
Sergio Aguado ◽  
Jorge Santolaria ◽  
David Samper ◽  
Juan Jose Aguilar Martín
Keyword(s):  
Machine Tool ◽  
Kinematic Model ◽  
Kinematic Chain ◽  
Geometric Error ◽  
Laser Tracker ◽  
Geometric Errors ◽  
Kinematic Chains ◽  
Error Characterization ◽  
Machine Tool Accuracy ◽  
The Relationship

This paper aims to present different methods of volumetric verification in long range machine toll with lineal and rotary axes using a commercial laser tracker as measurement system. This method allows characterizing machine tool geometric errors depending on the kinematic of the machine and the work space available during the measurement time. The kinematic of the machine toll is affected by their geometric errors, which are different depending on the number and type of movement axes. The relationship between the various geometrical errors is different from relationship obtained in machine tool whit only lineal axes. Therefore, the identification strategy should be different. In the same way, the kinematic chain of the machine tool determines determines the position of the laser tracker and available space for data capture. This paper presents the kinematic model of several machine tools with different kinematic chains use to improve the machine tool accuracy of each one by volumetric verification. Likewise, the paper thus presents a study of: the adequacy of different nonlinear optimization strategies depending on the type of axis and the usable space available.

Research on Kinematic Chain Isomorphism Identification Method Based on the Standardization Adjacent Matrix

2010 ◽  
Vol 43 ◽  
pp. 514-518 ◽  
Author(s):  
Mao Zhong Ge ◽  
Jian Yun Xiang ◽  
Yong Kang Zhang
Keyword(s):  
Graph Theory ◽  
Kinematic Chain ◽  
New Method ◽  
Kinematic Chains ◽  
Identification Method ◽  
Isomorphism Identification

In order to solve a baffling problem of kinematic chain isomorphism identification, proceeded from the isomorphism’s principles of graph theory, a new method for detecting isomorphism among planar kinematic chains using the standardization adjacent matrix is presented in this paper. The general course of adjacent matrix standardization processing and numbering principle of node are introduced, the implementation of this new method is illustrated with an example, it is showed that this new method can be accurately and effectively performed.

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