Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences

This study proposes a solution for the transmission of rotation motion between two shafts with crossed directions. For constructive simplicity, the solutions including the planar pair were preferred and, from the two variants, namely structurally symmetric, revolute–planar–revolute (RPR), or asymmet...

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Main Authors: Stelian Alaci, Ioan Doroftei, Florina-Carmen Ciornei, Ionut-Cristian Romanu, Toma-Marian Ciocirlan, Mariana-Catalina Ciornei
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/7/707
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author Stelian Alaci
Ioan Doroftei
Florina-Carmen Ciornei
Ionut-Cristian Romanu
Toma-Marian Ciocirlan
Mariana-Catalina Ciornei
author_facet Stelian Alaci
Ioan Doroftei
Florina-Carmen Ciornei
Ionut-Cristian Romanu
Toma-Marian Ciocirlan
Mariana-Catalina Ciornei
author_sort Stelian Alaci
collection DOAJ
description This study proposes a solution for the transmission of rotation motion between two shafts with crossed directions. For constructive simplicity, the solutions including the planar pair were preferred and, from the two variants, namely structurally symmetric, revolute–planar–revolute (RPR), or asymmetric RRP, the last was selected. The resulting solution, RPRRR, is a non-Denavit–Hartenberg (non-D–H) mechanism. The D–H methodology is laborious since the structure of the equivalent mechanism is more complex than the actual one. For this reason, in the present paper, the kinematic analysis of the mechanism uses geometrical conditions of existence of the planar pair. The system is solved analytically and two main conclusions result: for a set of constructive data and a stipulated position of the driving element, two different assembling positions exist and a rotation motion occurs in the final revolute joint, but in the internal revolute pairs, the motion is oscillatory. The correctness of the theoretical results was corroborated by a CATIA model. The mechanism was also constructed and smooth running was noticed. Two main concerns were considered for the design of the mechanism: avoiding mechanical interference between the elements and estimating the stresses and deformations.
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spelling doaj.art-6fb93b80d7cd41699aa6a60505faffad2023-11-18T18:18:20ZengMDPI AGAxioms2075-16802023-07-0112770710.3390/axioms12070707Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and ConsequencesStelian Alaci0Ioan Doroftei1Florina-Carmen Ciornei2Ionut-Cristian Romanu3Toma-Marian Ciocirlan4Mariana-Catalina Ciornei5Mechanics and Technologies Department, “Stefan cel Mare” University of Suceava, 720229 Suceava, RomaniaMechanical Engineering, Mechatronics and Robotics Department, “Gheorghe Asachi” Technical University, 700050 Iasi, RomaniaMechanics and Technologies Department, “Stefan cel Mare” University of Suceava, 720229 Suceava, RomaniaMechanics and Technologies Department, “Stefan cel Mare” University of Suceava, 720229 Suceava, RomaniaMechanics and Technologies Department, “Stefan cel Mare” University of Suceava, 720229 Suceava, RomaniaPhysiology Department, “Carol Davila” University of Medicine and Pharmacy, 020021 Bucharest, RomaniaThis study proposes a solution for the transmission of rotation motion between two shafts with crossed directions. For constructive simplicity, the solutions including the planar pair were preferred and, from the two variants, namely structurally symmetric, revolute–planar–revolute (RPR), or asymmetric RRP, the last was selected. The resulting solution, RPRRR, is a non-Denavit–Hartenberg (non-D–H) mechanism. The D–H methodology is laborious since the structure of the equivalent mechanism is more complex than the actual one. For this reason, in the present paper, the kinematic analysis of the mechanism uses geometrical conditions of existence of the planar pair. The system is solved analytically and two main conclusions result: for a set of constructive data and a stipulated position of the driving element, two different assembling positions exist and a rotation motion occurs in the final revolute joint, but in the internal revolute pairs, the motion is oscillatory. The correctness of the theoretical results was corroborated by a CATIA model. The mechanism was also constructed and smooth running was noticed. Two main concerns were considered for the design of the mechanism: avoiding mechanical interference between the elements and estimating the stresses and deformations.https://www.mdpi.com/2075-1680/12/7/707shaft couplingplanar pairrevolute pairD–H algorithmCAD designnumerical simulation
spellingShingle Stelian Alaci
Ioan Doroftei
Florina-Carmen Ciornei
Ionut-Cristian Romanu
Toma-Marian Ciocirlan
Mariana-Catalina Ciornei
Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences
Axioms
shaft coupling
planar pair
revolute pair
D–H algorithm
CAD design
numerical simulation
title Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences
title_full Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences
title_fullStr Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences
title_full_unstemmed Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences
title_short Proposed Shaft Coupling Based on RPRRR Mechanism: Positional Analysis and Consequences
title_sort proposed shaft coupling based on rprrr mechanism positional analysis and consequences
topic shaft coupling
planar pair
revolute pair
D–H algorithm
CAD design
numerical simulation
url https://www.mdpi.com/2075-1680/12/7/707
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