A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances

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FLORES, Paulo .
A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 57, n.6, p. 457-467, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/a-methodology-for-quantifying-the-kinematic-position-errors-due-to-manufacturing-and-assembly-tolerances/>. Date accessed: 06 aug. 2020. 
doi:http://dx.doi.org/10.5545/sv-jme.2009.159.
Flores, P.
(2011).
A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances.
Strojniški vestnik - Journal of Mechanical Engineering, 57(6), 457-467.
doi:http://dx.doi.org/10.5545/sv-jme.2009.159
@article{sv-jmesv-jme.2009.159,
	author = {Paulo  Flores},
	title = {A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {6},
	year = {2011},
	keywords = {positional error; manufacturing tolerances; assembly systems; planar mechanisms},
	abstract = {A systematic and general methodology for kinematic position errors analysis of multibody systems is investigated throughout this work, taking into account the influence of the manufacturing and assemble tolerances on the performance of planar mechanisms. The generalized Cartesian coordinates are used to mathematically formulate kinematic constraints and equations of motion of the multibody systems. Thus, the systems are defined by a set of generalized coordinates, which represents the instantaneous positions of all bodies, together with a set of generalized dimensional parameters that defines the functional dimensions of the system. These generalized dimensional parameters take into account the tolerances associated with the lengths, fixed angles, diameters and distance between centers, among others. This paper highlights the relation among kinematic constraints, dimensional parameters and output kinematic parameters. Based on the theory of dimensional tolerances, the variation of the geometrical dimensions is regarded as a tolerance grade with an interval associated with each dimension and, consequently, a kinematic amplitude variation for the bodies’ position. The methodology presented is implemented in a computational code developed for kinematic analysis of multibody systems, capable of automatically generating and solving the equations of motion for general multibody systems. Finally, a slider-crank mechanism is used as a numerical example to demonstrate the accuracy of the presented methodology, as well as to discuss the main assumptions and procedures adopted in this work.},
	issn = {0039-2480},	pages = {457-467},	doi = {10.5545/sv-jme.2009.159},
	url = {https://www.sv-jme.eu/article/a-methodology-for-quantifying-the-kinematic-position-errors-due-to-manufacturing-and-assembly-tolerances/}
}
Flores, P.
2011 June 57. A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 57:6
%A Flores, Paulo 
%D 2011
%T A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances
%B 2011
%9 positional error; manufacturing tolerances; assembly systems; planar mechanisms
%! A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances
%K positional error; manufacturing tolerances; assembly systems; planar mechanisms
%X A systematic and general methodology for kinematic position errors analysis of multibody systems is investigated throughout this work, taking into account the influence of the manufacturing and assemble tolerances on the performance of planar mechanisms. The generalized Cartesian coordinates are used to mathematically formulate kinematic constraints and equations of motion of the multibody systems. Thus, the systems are defined by a set of generalized coordinates, which represents the instantaneous positions of all bodies, together with a set of generalized dimensional parameters that defines the functional dimensions of the system. These generalized dimensional parameters take into account the tolerances associated with the lengths, fixed angles, diameters and distance between centers, among others. This paper highlights the relation among kinematic constraints, dimensional parameters and output kinematic parameters. Based on the theory of dimensional tolerances, the variation of the geometrical dimensions is regarded as a tolerance grade with an interval associated with each dimension and, consequently, a kinematic amplitude variation for the bodies’ position. The methodology presented is implemented in a computational code developed for kinematic analysis of multibody systems, capable of automatically generating and solving the equations of motion for general multibody systems. Finally, a slider-crank mechanism is used as a numerical example to demonstrate the accuracy of the presented methodology, as well as to discuss the main assumptions and procedures adopted in this work.
%U https://www.sv-jme.eu/article/a-methodology-for-quantifying-the-kinematic-position-errors-due-to-manufacturing-and-assembly-tolerances/
%0 Journal Article
%R 10.5545/sv-jme.2009.159
%& 457
%P 11
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 57
%N 6
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Flores, Paulo.
"A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances." Strojniški vestnik - Journal of Mechanical Engineering [Online], 57.6 (2011): 457-467. Web.  06 Aug. 2020
TY  - JOUR
AU  - Flores, Paulo 
PY  - 2011
TI  - A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2009.159
KW  - positional error; manufacturing tolerances; assembly systems; planar mechanisms
N2  - A systematic and general methodology for kinematic position errors analysis of multibody systems is investigated throughout this work, taking into account the influence of the manufacturing and assemble tolerances on the performance of planar mechanisms. The generalized Cartesian coordinates are used to mathematically formulate kinematic constraints and equations of motion of the multibody systems. Thus, the systems are defined by a set of generalized coordinates, which represents the instantaneous positions of all bodies, together with a set of generalized dimensional parameters that defines the functional dimensions of the system. These generalized dimensional parameters take into account the tolerances associated with the lengths, fixed angles, diameters and distance between centers, among others. This paper highlights the relation among kinematic constraints, dimensional parameters and output kinematic parameters. Based on the theory of dimensional tolerances, the variation of the geometrical dimensions is regarded as a tolerance grade with an interval associated with each dimension and, consequently, a kinematic amplitude variation for the bodies’ position. The methodology presented is implemented in a computational code developed for kinematic analysis of multibody systems, capable of automatically generating and solving the equations of motion for general multibody systems. Finally, a slider-crank mechanism is used as a numerical example to demonstrate the accuracy of the presented methodology, as well as to discuss the main assumptions and procedures adopted in this work.
UR  - https://www.sv-jme.eu/article/a-methodology-for-quantifying-the-kinematic-position-errors-due-to-manufacturing-and-assembly-tolerances/
@article{{sv-jme}{sv-jme.2009.159},
	author = {Flores, P.},
	title = {A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {6},
	year = {2011},
	doi = {10.5545/sv-jme.2009.159},
	url = {https://www.sv-jme.eu/article/a-methodology-for-quantifying-the-kinematic-position-errors-due-to-manufacturing-and-assembly-tolerances/}
}
TY  - JOUR
AU  - Flores, Paulo 
PY  - 2018/06/28
TI  - A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 57, No 6 (2011): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2009.159
KW  - positional error, manufacturing tolerances, assembly systems, planar mechanisms
N2  - A systematic and general methodology for kinematic position errors analysis of multibody systems is investigated throughout this work, taking into account the influence of the manufacturing and assemble tolerances on the performance of planar mechanisms. The generalized Cartesian coordinates are used to mathematically formulate kinematic constraints and equations of motion of the multibody systems. Thus, the systems are defined by a set of generalized coordinates, which represents the instantaneous positions of all bodies, together with a set of generalized dimensional parameters that defines the functional dimensions of the system. These generalized dimensional parameters take into account the tolerances associated with the lengths, fixed angles, diameters and distance between centers, among others. This paper highlights the relation among kinematic constraints, dimensional parameters and output kinematic parameters. Based on the theory of dimensional tolerances, the variation of the geometrical dimensions is regarded as a tolerance grade with an interval associated with each dimension and, consequently, a kinematic amplitude variation for the bodies’ position. The methodology presented is implemented in a computational code developed for kinematic analysis of multibody systems, capable of automatically generating and solving the equations of motion for general multibody systems. Finally, a slider-crank mechanism is used as a numerical example to demonstrate the accuracy of the presented methodology, as well as to discuss the main assumptions and procedures adopted in this work.
UR  - https://www.sv-jme.eu/article/a-methodology-for-quantifying-the-kinematic-position-errors-due-to-manufacturing-and-assembly-tolerances/
Flores, Paulo"A Methodology for Quantifying the Kinematic Position Errors due to Manufacturing and Assembly Tolerances" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 57 Number 6 (28 June 2018)

Authors

Affiliations

  • University of Minho, Department of Mechanical Engineering, Campus de Azurem, 4800-058 Guimaraes 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 57(2011)6, 457-467

https://doi.org/10.5545/sv-jme.2009.159

A systematic and general methodology for kinematic position errors analysis of multibody systems is investigated throughout this work, taking into account the influence of the manufacturing and assemble tolerances on the performance of planar mechanisms. The generalized Cartesian coordinates are used to mathematically formulate kinematic constraints and equations of motion of the multibody systems. Thus, the systems are defined by a set of generalized coordinates, which represents the instantaneous positions of all bodies, together with a set of generalized dimensional parameters that defines the functional dimensions of the system. These generalized dimensional parameters take into account the tolerances associated with the lengths, fixed angles, diameters and distance between centers, among others. This paper highlights the relation among kinematic constraints, dimensional parameters and output kinematic parameters. Based on the theory of dimensional tolerances, the variation of the geometrical dimensions is regarded as a tolerance grade with an interval associated with each dimension and, consequently, a kinematic amplitude variation for the bodies’ position. The methodology presented is implemented in a computational code developed for kinematic analysis of multibody systems, capable of automatically generating and solving the equations of motion for general multibody systems. Finally, a slider-crank mechanism is used as a numerical example to demonstrate the accuracy of the presented methodology, as well as to discuss the main assumptions and procedures adopted in this work.

positional error; manufacturing tolerances; assembly systems; planar mechanisms