TOLERANCE ANALYSIS OF MECHANICAL ASSEMBLIES USING AN ENHANCED VIRTUAL JOINTS METHOD

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SHARIAT PANAHI MASOUD; SADEGHI A.

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Journal: Year:2007 | Volume:40 | Issue:6 (100) Page(s): 813-823

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Title

TOLERANCE ANALYSIS OF MECHANICAL ASSEMBLIES USING AN ENHANCED VIRTUAL JOINTS METHOD

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SHARIAT PANAHI MASOUD | SADEGHI A. | Issue Writer Certificate

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Abstract

Proper tolerancing of an assembly would presumably improve its entire lifecycle, including such aspects as function, cost, manufacturability and serviceability. The complex topological nature of most mechanical assemblies and the interrelations among their geometrical and dimensional tolerances have impeded the development of a comprehensive method for the tolerance analysis of such complex systems. Aside from the approximate, traditional tolerance analysis methods currently in use by the industry, a number of simulation-based methods have been proposed over the past few years that are potentially capable of predicting the tolerances of a target point in a mechanical assembly for a given set of component level tolerances. Most of these methods, however, have remained at the conceptual level and have not been implemented due to practical complications. It is understandably true that designers tend to use tight tolerances to ensure the proper functioning of an assembly; whereas manufacturers prefer loose tolerances which make the production easier. This is mainly because it is rather hard for the designer to have a thorough perception of the error-propagation mechanism and they would prefer tolerancing problems to be dealt with during process planning, tool selection or production phases.Over the past two decades, several attempts have been made to develop 2D and 3D tolerance analysis methods. Among these methods is the Virtual Joints (VJ) Method proposed by Laperriere in 1999 which substitutes a kinematic rotational or sliding joint for every dimensional and angular tolerance in the assembly model and in this way creates an equivalent virtual model. This model would then be able to predict tolerancing errors in any given point of an assembly using tolerance loops and dimensional and geometric tolerances. This paper presents a novel approach to the 3- D tolerance analysis of mechanical assemblies.The proposed approach is an enhancement to the original Virtual Joints method and would enable the automatic detection of assemblysurface locations and surface types at “assembly nodes” which, in turn, would lead to the immediate choice of equivalent kinematic joints to be used in the tolerance analysis algorithm. The VJ method builds on the premise that tolerance errors in a mechanical assembly could be represented by a set of small translational and/or rotational transformations, and thus generates a mathematical model of error propagation based on the accumulation of tolerance variations across tolerance loops and chains. Through replacing translational kinematic joints for longitudinal dimensional/geometric errors and rotational kinematic joints for rotational dimensional/geometric errors, an equivalent virtual assembly is created whose governing equations could predict overall tolerances at any desired point in the actual assembly. The enhanced algorithm is applied to an actual 3-D case to demonstrate the performance of the proposed approach.

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APA: Copy

SHARIAT PANAHI, MASOUD, & SADEGHI, A.. (2007). TOLERANCE ANALYSIS OF MECHANICAL ASSEMBLIES USING AN ENHANCED VIRTUAL JOINTS METHOD. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 40(6 (100)), 813-823. SID. https://sid.ir/paper/14368/en

Vancouver: Copy

SHARIAT PANAHI MASOUD, SADEGHI A.. TOLERANCE ANALYSIS OF MECHANICAL ASSEMBLIES USING AN ENHANCED VIRTUAL JOINTS METHOD. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2007;40(6 (100)):813-823. Available from: https://sid.ir/paper/14368/en

IEEE: Copy

MASOUD SHARIAT PANAHI, and A. SADEGHI, “TOLERANCE ANALYSIS OF MECHANICAL ASSEMBLIES USING AN ENHANCED VIRTUAL JOINTS METHOD,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 40, no. 6 (100), pp. 813–823, 2007, [Online]. Available: https://sid.ir/paper/14368/en

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