A schema is presented which contains all the independent varieties of planar jointed kinematic chains and Baranov trusses. The schema requires four operations: amplification with dyads, simplification of the joints, graphisation, and inverse graphisation.
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References
1.
The references quoted in the papers of Crossley, Manolescu, Manolescu et al, and Mruthyunjaya are also recommended.
2.
CrossleyF R E, 1965“The permutation of kinematic chains of eight members or less from the graph-theoretic viewpoint” in Developments in Theoretical and Applied Mechanics, Volume 2 (Pergamon Press, Oxford) pp 467–486
3.
HainK, 1955“Die Analyse und Synthese achtgliedriger Gelenkgetriebe”VDI Berichte581–93
4.
ManolescuN I, 1964“Une méthode unitaire pour la formation des chaînes cinématiques et des mécanismes plans articulés avec différents degrés de liberté et mobilité”Revue Roumaine des Sciences Techniques Série de Mécanique Appliquée9 (6) 1263–1313
5.
ManolescuN I, 1968“For a united point of view in the study of the structural analysis of kinematic chains and mechanisms”Journal of Mechanisms3 (3) 149–169
6.
ManolescuN I, 1969“Contributions to the numerical, structural and kinematic synthesis of the ASSUR groups of kinematic chains and of the planar mechanisms and driving-mechanisms” doctoral thesis, Bucarest Polytechnic Institute, Bucharest, Romania
7.
ManolescuN I, 1971“Criteria of forming the plane jointed mechanisms with multiple joints and simple links with e = 11 links and M.3 = 2 degrees of mobility partial, partial–total and ‘fractional’” paper D-11 in Proceedings of the 3rd World Congress on Theory of Machines and Mechanisms, Kupari-Dubrovnik, 13–20 September 1971, Volume D pp 161–176
8.
ManolescuN I, 1972“De la fermele Baranov priu grafìzare la lanturile cinematice plane articulate”Studii şi cercetări de Mecanică aplicată31 (1) 85–15
9.
ManolescuN I, 1973“A method based on Baranov trusses and using graph theory, to find the set of planar jointed kinematic chains and mechanisms”Mechanism and Machine Theory83–22
10.
ManolescuN I, 1979“The unitary method of structural synthesis of all the planar jointed kinematic chains (KCMJSL)”Proceedings of the 5th World Congress on Theory of Machines and Mechanisms, 8–13 July 1979, Montreal, Canada, Volume I Ed. SankarS, (American Society of Mechanical Engineers, New York) pp 514–518
11.
ManolescuN IArdeleanuT, 1971“La détermination des variantes indépendantes des fermes Baranov avec e = 9 éléments en utilisant la méthode de graphisation inverse” paper D-12 in Proceedings of the 3rd World Congress on Theory of Machines and Mechanisms, Kupari-Dubrovnik, 13–20 September 1971, Volume D pp 177–188
12.
ManolescuN IDrangaM, 1975“La comparaison des chaînes cinématiques et des mécanismes au point de vue structurel à l'aide de la théorie des graphes” Bulletin Institut Polytechnique “Gh. Gheorghiu-Dej”, Bucuresti, 37 (1), 41–46
13.
ManolescuN ITempeaI, 1971“Method of the determination of the number of structural kinematic variants of KCsj by the operations: Graphisation, dyad amplifying and joints simplifying” paper C-12 in Proceedings of the 3rd World Congress on Theory of Machines and Mechanisms, Kupari-Dubrovnik, 13–20 September 1971, Volume C pp 145–162
14.
MruthyunjayaT S, 1979“Structural synthesis by transformation of binary chains”Mechanism and Machine Theory14221–231
15.
ReuleauxF, 1876The Kinematics of Machinery: Outlines of a Theory of Machines translated and edited by KennedyA B W, (Macmillan, London)
