Synthesis of kinematic structure of geared kinematic chains and other mechanisms

Buchsbaum, F.; Freudenstein, F.

doi:10.1016/0022-2569(70)90068-6

Cited by 233 publications

(114 citation statements)

References 24 publications

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“…This description somewhat anticipates graph representation of a geared chain and the concept of fundamental circuit used by Freudenstein and Buchsbaum [24] for the purpose of enumeration. In this paragraph, the main kinematic structure properties of a geared chain will be listed too.…”

Section: Analysis Of Planetary Gear Trainsmentioning

confidence: 99%

“…The latter restriction, which has been mentioned also by Buchsbaum and Freudenstein [24] when defining the main features of graphs representing geared kinematic chains, would be used many more times in the future to study the kinematic chain mobility.…”

Section: Adjacency and Incidence Matrix And Other Data Structuresmentioning

confidence: 99%

“…In 1969 Buchsbaum and Freudenstein [24] developed methods for the classification and enumeration of mechanisms, particularly suitable for gear transmissions and differential drives. In the paper, graphs were extensively used to represent the topological characteristics of the mechanisms and the separation of the kinematic structure from functional considerations was a fundamental idea to provide a designer with a new tool during the conceptual stage of mechanical design.…”

Section: Structure-to-function Mappingmentioning

confidence: 99%

“…Since 1970 [24]the Graph Theory has been used successfully for the structural synthesis of EGTs and one year later Freudenstein [88] and, then, Yang [89] suggested a systematic procedure for kinematic analysis, force analysis and power-flow determination. The method was based on some characteristic properties of the labeled graph corresponding to any EGT, namely, the existence of a characteristic spanning tree which simplifies the detection of a particular set of fundamental circuits.…”

Section: The Identification Of the Transfer Vertex In Epicyclic Gear mentioning

confidence: 99%

See 3 more Smart Citations

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Pennestrı̀

Belfiore

2015

Mechanism and Machine Theory

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This paper celebrates a particular branch of Crossley's early work dedicated to Mechanism Science, which deals with a rigorous introduction of Graph Theory to the study of some fundamental and intrinsic properties of kinematic chains and mechanisms. Although such idea gave its main outcome in Type and Number Synthesis (which has been much better and extensively described in another paper of the present special issue) some other intriguing side effects appeared, later in Mechanism Science, which yielded several results, and are still in the center of research and industrial world interest, such as, to name but a few, the automatic generation of the equations governing kinematic, static force and dynamic analysis of mechanisms and geared trains, the power flow analysis, the computation of the efficiency and, finally, the never fully explored structure-to-function mapping, which the present contribution points out to be still a challenge in the field

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Section: Analysis Of Planetary Gear Trainsmentioning

confidence: 99%

Section: Adjacency and Incidence Matrix And Other Data Structuresmentioning

confidence: 99%

Section: Structure-to-function Mappingmentioning

confidence: 99%

Section: The Identification Of the Transfer Vertex In Epicyclic Gear mentioning

confidence: 99%

See 2 more Smart Citations

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Pennestrı̀

Belfiore

2015

Mechanism and Machine Theory

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“…Subsequent authors have introduced methods of global analysis for GMs that ensure the equations are correctly formulated for a given mechanism topology and design. Notably, Buchsbaum and Freudenstein [3] introduced combinatoric meth-ods to represent the topology of the mechanism. This approach was later developed by Tsai [9], Hsu and Lam [4].…”

Section: Introductionmentioning

confidence: 99%

Kinematic Singularities of a 3-DoF Planar Geared Robot Manipulator

Amirinezhad

Donelan

2017

Advances in Robot Kinematics 2016

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By incorporating gearing into a planar 3R mechanism, one obtains a family of mechanisms in which the gear ratios play a central kinematic role. Special choices of these parameters result in interesting simplifications of the kinematic mapping. An explicit expression for the mapping can be derived using the 'matroid method' of Talpasanu et al [7]. We use this relatively simple mechanism to illustrate singularity analysis for geared mechanisms.

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Ferdinand Freudenstein (1926–2006)

Roth

History of Mechanism and Machine Science

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Ferdinand Freudenstein is considered the father of modern kinematics in America. He made his mark early with his seminal PhD dissertation in which he developed what is known as Freudenstein's Equation. During a long career at Columbia University, he and his students produced outstanding research results in every area of modern kinematics. At the time of his death there were over 500 academic descendents belonging to the Freudenstein family tree. His progeny are teachers in many different countries, and his research results have shaped the teaching and practice of mechanism and machine theory throughout the world. Biographical NotesFerdinand Freudenstein (Figure 1), was born into a Jewish family, on May 12, 1926, in Frankfurt am Main, Germany. He was the son of George Freudenstein, an imaginative and successful merchant, and Charlotte Rosenberg, a beautiful and wise woman whose family included prominent art historians.When Ferdinand was ten years old, he, his parents and two sisters fled the Nazis for safety in Holland. In the spring of 1937, after six months in Amsterdam, the family moved to England where they joined his brother who was studying there. They lived in London during the blitz, moved briefly to Cambridge, and then spent several years in Llandudno, North Wales. During this period his father and brother were sent into exile in Australia, since the British Government regarded all adult male German citizens, even victims of Nazi anti-Semitism, as enemy aliens.In 1942, when he was 16 years old, Ferdinand, his mother and his two sisters sailed on an old British cargo boat from England to Trinidad. They remained there for six weeks until a distant cousin, Walter Kahn, arranged for their visas to the United States.

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Synthesis of kinematic structure of geared kinematic chains and other mechanisms

Cited by 233 publications

References 24 publications

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Kinematic Singularities of a 3-DoF Planar Geared Robot Manipulator

Ferdinand Freudenstein (1926–2006)

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