Tolerance analysis and synthesis across assemblies: state-of-the-art review

1994 ◽  
Vol 04 (01) ◽  
pp. 17-31
Author(s):  
BRYAN KOK ANN NGOI ◽  
YEW CHUAN KUAN
Author(s):  
M. H. Gadallah ◽  
H. A. ElMaraghy

Abstract A new algorithm for manufacturing tolerance synthesis is proposed. In complex mechanical assemblies, most tolerance analysis and synthesis methods tend to be impractical. In this article, a methodology is proposed to minimize manufacturing cost by tightening important dimensional and/or geometrical tolerances. Analysis of variance and experimental design techniques are used to discriminate among various design dimensions to the overall functional requirement of the mechanical assembly. In this case, some, but not all, design dimensions will be controlled. This paper reviews the state-of-the art in the area of tolerance analysis and synthesis and highlights the contribution of this work.


Author(s):  
S. H. Mullins ◽  
D. C. Anderson

Abstract Presented is a method for mathematically modeling mechanical component tolerances. The method translates the semantics of ANSI Y14.5M tolerances into an algebraic form. This algebraic form is suitable for either worst-case or statistical tolerance analysis and seeks to satisfy the requirements of both dimensional metrology and design analysis and synthesis. The method is illustrated by application to datum systems, position tolerances, orientation tolerances, and size tolerances.


Author(s):  
U. Roy ◽  
R. Sudarsan ◽  
R. D. Sriram ◽  
K. W. Lyons ◽  
M. R. Duffey

Abstract Tolerance design is the process of deriving a description of geometric tolerance specifications for a product from a set of specifications on the desired properties of the product. Existing approaches to tolerance analysis and synthesis entail detailed knowledge of geometry of assemblies and are mostly applicable during advanced stages of design, leading to a less than optimal design process. During the design process of assemblies, both assembly structure and associated tolerance information evolve continuously and significant gains can be achieved by effectively using this information to influence the design of an assembly. Any pro-active approach to the assembly or tolerance analysis in the early design stages will involve decision making with incomplete information models. In order to carry out early tolerance synthesis and analysis in the conceptual stages of the product design, we need to devise techniques for representing function-behavior-assembly models that will allow analysis and synthesis of tolerances, even with the incomplete data set. A ‘function’ (what the system is for) is associated with the transformation of an input physical entity into an output physical entity by the system. The problem or customer’s need, initially described by functional requirements on an assembly, and associated constraints on the functional requirements derives the concept of an assembly. This specification of functional requirements and constraints define a functional model for the assembly. Many researchers have studied functional representation (function based taxonomy and ontology), function to form mapping, and behavior representation (behavior means how the system/product works). However, there is no comprehensive function-assembly-behavior (FAB) integrated model. In this paper, we discuss the integration of function, assembly, and behavior representation into a comprehensive information model (FAB models). To do this, we need to develop appropriate assembly models and tolerance models that would enable the designer to incrementally understand the build-up or propagation of tolerances (i.e., constraints) and optimize the layout, features, or assembly realizations. This will ensure ease of tolerance delivery.


1995 ◽  
Vol 117 (B) ◽  
pp. 71-79 ◽  
Author(s):  
M. Raghavan ◽  
B. Roth

Problems in mechanisms analysis and synthesis and robotics lead naturally to systems of polynomial equations. This paper reviews the state of the art in the solution of such systems of equations. Three well-known methods for solving systems of polynomial equations, viz., Dialytic Elimination, Polynomial Continuation, and Grobner bases are reviewed. The methods are illustrated by means of simple examples. We also review important kinematic analysis and synthesis problems and their solutions using these mathematical procedures.


Author(s):  
P Di Stefano

Tolerance design plays an important role in the modern design process by introducing quality improvements and limiting manufacturing costs. In this paper a method for statistical tolerance analysis and synthesis is presented. This method is implemented using the mean shift model of Chase and Greenwood, providing a systematic approach to evaluate the mean shift factor. This method considers all the principal factors that affect the statistical sum of a certain number of assembly dimensions. In particular, the considered factors include the mean shift ratio, the confidence level, the number of dimension of the assembly and the tolerance assortment between the component dimensions. An implementation of the mean shift model for tolerances synthesis is described. The tolerances synthesis is performed in an unusual way, taking into account in the optimization process the typical parameters that affect the product variability. For this purpose the method uses four types of condition for the dimensional tolerances: fixed tolerance value, fixed mean shift ratio, fixed mean shift and fixed natural variability. Furthermore, in the optimization process, the service variability is considered under two conditions: fixed and valuable service variability. A case study is presented and the results of some simulations are discussed.


2013 ◽  
Vol 57 (3-4) ◽  
pp. 641-660 ◽  
Author(s):  
Wen-Tung Chang ◽  
Long-Iong Wu

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