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Open AccessArticle

Kane’s Formalism Used to the Vibration Analysis of a Wind Water Pump

1
COMAT, SA, str. Zizinului, nr.111, 500002 Brasov, Romania
2
Department of Mechanical Engineering, Transilvania University of Brașov, B-dulEroilor 20, 500036 Brașov, Romania
3
Technical Sciences Academy of Romania, B-dul Dacia 26, 030167 Bucharest, Romania
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1030; https://doi.org/10.3390/sym12061030
Received: 20 May 2020 / Revised: 9 June 2020 / Accepted: 17 June 2020 / Published: 19 June 2020
(This article belongs to the Special Issue Multibody Systems with Flexible Elements)
The paper uses Kane’s formalism to study two degrees of freedom (DOF) mechanisms with elastic elements = employed in a wind water pump. This formalism represents an alternative, in our opinion, that is simpler and more economical to Lagrange’s equation, used mainly by researchers in this type of application. In the problems where the finite element method (FEM) is applied, Kane’s equations were not used at all. The automated computation causes it to be reconsidered in the case of mechanical systems with a high DOF. Analyzing the planar transmission mechanism, these equations were applied for the study of an elastic element. An analysis was then made of the results obtained for this type of water pump. The matrices coefficients of the obtained equations were symmetric or skew-symmetric. View Full-Text
Keywords: Kane’s equations; planar mechanism; Lagrange’s equations; dynamics; finite element method (FEM); multibody system (MBS); wind water pump Kane’s equations; planar mechanism; Lagrange’s equations; dynamics; finite element method (FEM); multibody system (MBS); wind water pump
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MDPI and ACS Style

Mitu, G.L.; Chircan, E.; Scutaru, M.L.; Vlase, S. Kane’s Formalism Used to the Vibration Analysis of a Wind Water Pump. Symmetry 2020, 12, 1030.

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