Position analysis of planar linkages using the method of modification of kinematic units

Młynarski, Tadeusz

doi:10.1016/0094-114x(95)00120-n

Cited by 19 publications

(10 citation statements)

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“…However, their kinematic analysis -one of the most important aspects in linkage design -is still to be solved for more convenience and for greater effectiveness. And yet a lot of work has been done [2][3][4][5][6][7][8][9][10]. Kinematic analysis includes position analysis, velocity analysis and acceleration analysis; of these, position analysis is the most difficult.…”

Section: Introductionmentioning

confidence: 99%

“…Kinematic analysis includes position analysis, velocity analysis and acceleration analysis; of these, position analysis is the most difficult. To analyze the position of a complex planar linkage, there are two categories of methods: the global method [9,10] and the group method [2,[4][5][6][7][8]. The global method takes the linkage as a whole by listing the position equations based on the vector loop, and solving the equations using different techniques.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the solutions of the basic Assur groups become the key point. Assur groups have different classes, according to the number of links and the topologic structures, which can be of Class I, Class II, Class III, Class IV and Class V [1,2,8]. The solutions of the lower-class Assur groups, including Class I and Class II, are analytical and well documented [2,3]; whereas, the solutions of the higher-class Assur groups, including Class III, Class IV and Class V, generally involve numerical techniques to search the approximate solution of the position equations system that is usually highly non-linear and highly complex, and may even contain the transcendental function.…”

Section: Introductionmentioning

confidence: 99%

“…This will affect the astringency of the iteration process. Several methods are reported to handle these problems [4][5][6][7][8]. Some researchers have presented polynomial solutions to the position of some higher-class Assur groups [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, the solutions to the other types of higher-class Assur groups remain unresolved. In [8], a method that modifies the kinematic units is proposed, but further research for the detailed searching procedure of the position solution has not been reported. This paper presents a new simple and effective method that is able to cover all the possible higher-class Assur groups.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Position analysis of higher-class Assur groups by virtual variable searching and its application in a multifunction domestic sewing machine

Zhang

Zou

Guo

2005

Int J Adv Manuf Technol

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This paper presents a simple and effective method to solve the position of higher-class Assur groups by means of virtual variable searching. It transforms the higher-class Assur groups into a constraint link, Class II Assur group(s), and virtual driving link(s), defined by the virtual variable. The constraint link is reassembled by one-dimensional searching of the virtual variable, and the potential solutions of the position of the higher-class Assur group are achieved with rapid mathematic convergence. Detailed criteria are set up for complicated higherclass Assur groups, including how to select the virtual driving link and constraint Link, and how to decide the solving sequence of converted Class II Assur groups. A versatile visual program has been developed to simulate higher-class planar mechanisms. Finally, an example of the feeding mechanism of a multifunction domestic sewing machine demonstrates the new method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Position analysis of higher-class Assur groups by virtual variable searching and its application in a multifunction domestic sewing machine

Zhang

Zou

Guo

2005

Int J Adv Manuf Technol

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Modelling and Simulation of Human and Walking Robot Locomotion

Morecki

1997

Human and Machine Locomotion

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Graph-based structural analysis of planar mechanisms

2016

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Kinematic structure of planar mechanisms addresses the study of attributes determined exclusively by the joining pattern among the links forming a mechanism. The system group classification is central to the kinematic structure and consists of determining a sequence of kinematically and statically independent-simple chains which represent a modular basis for the kinematics and force analysis of the mechanism. This article presents a novel graph-based algorithm for structural analysis of planar mechanisms with closed-loop kinematic structure which determines a sequence of modules (Assur groups) representing the topology of the mechanism. The computational complexity analysis and proof of correctness of the implemented algorithm are provided. A case study is presented to illustrate the results of the devised method.

show abstract

Position analysis of planar linkages using the method of modification of kinematic units

Cited by 19 publications

References 0 publications

Position analysis of higher-class Assur groups by virtual variable searching and its application in a multifunction domestic sewing machine

Position analysis of higher-class Assur groups by virtual variable searching and its application in a multifunction domestic sewing machine

Modelling and Simulation of Human and Walking Robot Locomotion

Graph-based structural analysis of planar mechanisms

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