The Creation of a Multi-Link Load Balancing Mechanism for Planetary Gearing: Part 1 — Type Synthesis

1992 ◽  
Author(s):  
Zhang Hong ◽  
Ting Li Yang ◽  
Jin Kui Chu ◽  
Wei-qing Cao
Keyword(s):  
Load Balancing ◽  
Arbitrary Number ◽  
Degrees Of Freedom ◽  
Kinematic Structure ◽  
Type Synthesis ◽  
Kinematic Chains ◽  
Topological Parameters ◽  
Topological Characteristics ◽  
The Creation

Abstract This series of papers design a multi-link load balancing mechanism for the Planetary Gearings with arbitrary number of planet gears. Based on the study of SGP load balancing mechanisms, this paper analyzed the relations between the function and kinematic structure of the multilink load balancing mechanism, and presented the topological characteristics and parameters of the kinematic chains suited for load balancing mechanism. Those topological parameters depend on the number of planet gears. In the type synthesis for the case of six planet gears, the kinematic chains with five degrees of freedom and eighteen links were enumerated according to the topological characteristics. The resulting mechanisms were 15 candidate multi-link load balancing mechanism.

The Creation of a Multi-Link Load Balancing Mechanism for Planetary Gearing: Part 2 — Optimum Mechanism Selection and Dimension Determination

1992 ◽  
Author(s):  
Zhang Hong ◽  
Wei-qing Cao ◽  
Ting Li Yang ◽  
Jin Kui Chu
Keyword(s):  
Load Balancing ◽  
Arbitrary Number ◽  
Uniform Load ◽  
Topological Structures ◽  
Optimum Load ◽  
New Type ◽  
The Common ◽  
The Creation ◽  
Set Up

Abstract This paper is the second of a series of two papers which designed a new type of load balancing mechanisms for planetary gearings with arbitrary number of planets. In this paper the common expression of the non-uniform load share factor was deduced, and a function parameter:force-arm factor and their solution was given. That makes it possible that the dimensions and the ability of load equilibrium of Multi-Link Load Balancing Mechanisms can be determined. The criteria of optimum load balancing Mechanisms selection were set up with consider of the effects of turning pair clearances, and optimum mechanisms were selected among the 15 candidates obtained in Part 1. Finally, it was demonstrated that the optimum multi-link load balancing mechanisms for arbitrary number of planets had the similar topological structures and same function and performence of load equilibrium.

Complete Atlas Database of 2-DOF Kinematic Chains and Creative Design of Mechanisms

2012 ◽  
Vol 134 (3) ◽  
Author(s):  
Huafeng Ding ◽  
Wenao Cao ◽  
Andrés Kecskeméthy ◽  
Zhen Huang
Keyword(s):  
Creative Process ◽  
Degrees Of Freedom ◽  
Systematic Approach ◽  
Computer Models ◽  
Creative Design ◽  
Kinematic Structure ◽  
Topological Graphs ◽  
Kinematic Chains ◽  
First Time ◽  
Intuitive Manner

The creation of novel kinematic structures of mechanisms still represents a major challenge in the quest for developing new, innovative devices. In this setting, computer models that can automatically generate and visualize all possible independent structures in an intuitive manner prove to be valuable as a support in the creative process of the designer. This paper proposes an automatic approach for establishing the complete atlas database of 2-DOF kinematic chains and a systematic approach for the creative design of mechanisms based on such an atlas. First, the transformation of the kinematic structure into a graph-based representation is addressed. Then, an approach for the generation of all nonfractionated topological graphs of 2-DOF (degrees of freedom) kinematic chains using contracted graphs as well as a method for synthesizing all the fractionated topological graphs through the combination of corresponding 1-DOF kinematic chains are addressed. Based on these methods, the complete atlas database of 2-DOF kinematic chains up to 15 links is established in this paper for the first time. Using this complete database, a systematic approach for the creative design of mechanisms can be derived, as illustrated for the example of an 11-link 2-DOF rode tractor.

The Development of an Atlas of the Kinematic Structures of Mechanisms

1984 ◽  
Vol 106 (4) ◽  
pp. 458-461 ◽  
Author(s):  
M. Mayourian ◽  
F. Freudenstein
Keyword(s):  
Wide Class ◽  
Mechanical Design ◽  
Three Dimensional ◽  
Kinematic Structure ◽  
Kinematic Chains ◽  
The Creation ◽  
Partial Automation

Based on the restrictions governing the admissible graphs of the kinematic chains of mechanisms, an atlas or listing of 35 graphs has been developed which defines the kinematic structure of a wide class of plane and three-dimensional mechanisms with up to six links. Such an atlas can serve as the basis for the creation of mechanisms in the conceptual stage of mechanical design and permits the partial automation of this process. The same procedure would also be applicable to the development of a similar atlas for mechanisms with more than six links and a greater variety of joints.

An Innovative Approach to Detect Isomorphism in Planar and Geared Kinematic Chains Using Graph Theory

2017 ◽  
Vol 139 (12) ◽  
Author(s):  
Vinjamuri Venkata Kamesh ◽  
Kuchibhotla Mallikarjuna Rao ◽  
Annambhotla Balaji Srinivasa Rao
Keyword(s):  
Graph Theory ◽  
Degrees Of Freedom ◽  
Quantitative Measure ◽  
Simple Algorithm ◽  
Isomorphism Problem ◽  
Innovative Approach ◽  
Two Degrees Of Freedom ◽  
Kinematic Chains ◽  
Topological Characteristics ◽  
Interesting Area

Detection of isomorphism in planar and geared kinematic chains (GKCs) is an interesting area since many years. Enumeration of planar and geared kinematic chains becomes easy only when isomorphism problem is resolved effectively. Many researchers proposed algorithms based on topological characteristics or some coding which need lot of computations and comparisons. In this paper, a novel and simple algorithm is proposed based on graph theory by which elimination of isomorphic chains can be done very easily without any tedious calculations or comparisons. A new concept “Net distance” is proposed based on the graph theory to be a quantitative measure to assess isomorphism in planar kinematic chains (PKCs) as well as GKCs. The proposed algorithm is applied on nine-link two-degrees-of-freedom (DOF) distinct kinematic chains completely and the results are presented. Algorithm is tested on examples from eight-link 1-DOF, ten-link 1-DOF, 12-link 1-DOF, and 15link 4-DOF PKCs. The algorithm is also tested on four-, six-link 1-DOF GKCs to detect isomorphism. All the results are in agreement with the existing literature.

Modified joint connectivity approach for identification of topological characteristics of planar kinematic chains

2011 ◽  
Vol 225 (11) ◽  
pp. 2700-2717 ◽  
Author(s):  
G S Bedi ◽  
S Sanyal
Keyword(s):  
Degrees Of Freedom ◽  
Kinematic Chain ◽  
Kinematic Chains ◽  
Multiple Degrees Of Freedom ◽  
Preferred Frame ◽  
Topological Characteristics ◽  
Synthesis Stage ◽  
Different Levels ◽  
Selection Of

In a kinematic chain, the links are connected to each other through joints. The connectivity of a joint indicates the number of joints to which it is connected. The connectivity level of a joint indicates the distance by which it is separated from the adjacent joints. The concept of joint connectivity and its application to detect isomorphism among kinematic chains and their inversions has been already reported by authors. The method utilizes the connectivity of joints at different levels to detect isomorphism and inversions among planar kinematic chains. The method is applied to eight-, nine-, and ten-link planar kinematic chains. The results so obtained are in agreement with those available in the literature. In this study, the method is further improved by incorporating the type of joint to make it more effective for the detection of isomorphism and distinct inversions. A joint connectivity table completely representing the kinematic chain is proposed. The application of the method is extended for the determination of additional topological characteristics of chains such as categorization of kinematic chains and selection of preferred frame, input and output links for function and path generation. The concept of ‘Motion Transfer Ability’ is introduced and utilized to develop numerical measures for comparing and categorizing the chains at the synthesis stage of mechanism design for a specific application. The method was successfully tested on planar kinematic chains with single and multiple degrees of freedom and the results for eight- and nine-link kinematic chains are appended.

Determining the Presence of Rigid Sub-Frames in Kinematic Chains

1988 ◽  
Author(s):  
R. Bhasin ◽  
J. E. Beard ◽  
J. A. Brewer
Keyword(s):  
Kinematic Structure ◽  
Planar Mechanisms ◽  
Kinematic Chains ◽  
Automated Process ◽  
The Creation

Abstract Applying the concepts of the instant centers (IC’s) to the kinematic structure of a mechanism, a powerful new tool has been developed to detect the presence of a rigid sub-frame (RSF) in it’s configuration. The presence of an over-defined IC indicates the presence of an over-constrained sub-chain in the configuration. A ‘trace’ (T) of all the instant center, obtained at any stage of the analysis, is required to be maintained and compared, in order to develop a generalized method that applies only to the topology of the configuration. The compact, efficient and completely automated process of RSF checking allows a purely arbitrary approach to the creation of the kinematic structure of planar mechanisms of unlimited size.

Atlas Database of 2-DOF Kinematic Chains and Its Application to the Creative Design of Mechanisms

2011 ◽  
Author(s):  
Huafeng Ding ◽  
Andre´s Kecskeme´thy ◽  
Zhen Huang
Keyword(s):  
Graph Representation ◽  
Creative Design ◽  
The Novel ◽  
Kinematic Structure ◽  
Performance Indices ◽  
Topological Graphs ◽  
Systematic Method ◽  
Kinematic Chains ◽  
Challenging Issue ◽  
The Creation

Creation of novel kinematic structures of mechanisms has been a challenging issue which is usually conducted on experience and intuition. This paper, however, proposes a systematic method for the creative design of mechanism-based products and equipments on the basis of corresponding atlas database, and the creative design of an 11-link 2-DOF rode tractor is provided as an example. First, the transformation of the kinematic structure of mechanisms into graph representation is addressed. Then, the complete atlas database of 11-link 2-DOF kinematic chains is established by obtaining all the non-fractionated topological graphs through their contracted graphs and all the fractionated topological graphs through the combination of 1-DOF kinematic chains. Finally, based on the established atlas database, the creation design for the novel mechanisms of 11-link 2-DOF rode tractors is implemented, and all the nine novel feasible mechanisms (including the widely used one reported in literature) which satisfy the proposed performance indices are obtained.

scholarly journals Type Synthesis of 1T2R Parallel Mechanisms Using Structure Coupling-Reducing Method

2019 ◽  
Vol 32 (1) ◽  
Author(s):  
Haitao Liu ◽  
Ke Xu ◽  
Huiping Shen ◽  
Xianlei Shan ◽  
Tingli Yang
Keyword(s):  
Explicit Form ◽  
Parallel Mechanism ◽  
Analytic Solutions ◽  
Forward Kinematics ◽  
Parallel Mechanisms ◽  
Type Synthesis ◽  
Real Time Control ◽  
Time Control ◽  
Topological Characteristics ◽  
Zero Coupling

Abstract Direct kinematics with analytic solutions is critical to the real-time control of parallel mechanisms. Therefore, the type synthesis of a mechanism having explicit form of forward kinematics has become a topic of interest. Based on this purpose, this paper deals with the type synthesis of 1T2R parallel mechanisms by investigating the topological structure coupling-reducing of the 3UPS&UP parallel mechanism. With the aid of the theory of mechanism topology, the analysis of the topological characteristics of the 3UPS&UP parallel mechanism is presented, which shows that there are highly coupled motions and constraints amongst the limbs of the mechanism. Three methods for structure coupling-reducing of the 3UPS&UP parallel mechanism are proposed, resulting in eight new types of 1T2R parallel mechanisms with one or zero coupling degree. One obtained parallel mechanism is taken as an example to demonstrate that a mechanism with zero coupling degree has an explicit form for forward kinematics. The process of type synthesis is in the order of permutation and combination; therefore, there are no omissions. This method is also applicable to other configurations, and novel topological structures having simple forward kinematics can be obtained from an original mechanism via this method.

scholarly journals Higher spins from exotic dualisations

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nicolas Boulanger ◽  
Victor Lekeu
Keyword(s):  
Infinite Number ◽  
Arbitrary Number ◽  
Degrees Of Freedom ◽  
Young Tableaux ◽  
Spacetime Dimension ◽  
Massless Field ◽  
Free Level ◽  
Higher Spins

Abstract At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace any number of columns of height hi by columns of height D − 2 − hi, where D is the spacetime dimension: in particular, applying this operation to empty columns gives rise to potentials containing an arbitrary number of groups of D − 2 extra antisymmetric indices. Using the method of parent actions, action principles including these potentials, but also extra fields, can be derived from the usual ones. In this paper, we revisit this off-shell duality and clarify the counting of degrees of freedom and the role of the extra fields. Among others, we consider the examples of the double dual graviton in D = 5 and two cases, one topological and one dynamical, of exotic dualities leading to spin three fields in D = 3.

A Method for Type Synthesis of Mechanisms Using Phase Diagrams

1994 ◽  
Author(s):  
Sio-Hou Lei ◽  
Ying-Chien Tsai
Keyword(s):  
Phase Diagram ◽  
Degrees Of Freedom ◽  
Practical Application ◽  
Type Synthesis ◽  
Planar Mechanisms ◽  
Simple Loop ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Spatial Mechanisms ◽  
Synthesis Of Mechanisms

Abstract A method for synthesizing the types of spatial as well as planar mechanisms is expressed in this paper by using the concept of phase diagram in metallurgy. The concept represented as a type synthesis technique is applied to (a) planar mechanisms with n degrees of freedom and simple loop, (b) spatial mechanisms with single degree of freedom and simple loop, to enumerate all the possible mechanisms with physically realizable kinematic pairs. Based on the technique described, a set of new reciprocating mechanisms is generated as a practical application.

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