A comprehensive review of tolerance analysis models

Cao, Yanlong; Liu, Ting; Yang, Jiangxin

doi:10.1007/s00170-018-1920-2

Cited by 63 publications

(28 citation statements)

References 112 publications

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“…There are different tolerance analysis methods. As discussed in a comprehensive review by Cao et al [1], these methods are mainly worst case or statistical case. Worst case, which is a deterministic approach, assumes that each component dimension is at its maximum or minimum limit and the statistical methods are based on the hypothesis that the tolerances follow a certain distribution.…”

Section: Tolerance Analysis Methodsmentioning

confidence: 99%

Automotive Package Lead Pullback Elimination Using Monte Carlo Analysis for Determining Leadframe and Blade Design

Talledo¹,

Cabading²,

Real³

2021

JERR

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This study focuses on eliminating the lead pullback problem in an automotive quad flat no lead (QFN) package in order to meet the non-negotiable requirement to have a solder wettable or solderable lead sidewall. It involves using a non-traditional approach of Monte Carlo tolerance analysis to determine the final leadframe and singulation blade design solution. It was found out that the zero lead pullback could be achieved by reducing the leadframe lead to lead distance from 0.275 mm to 0.225 mm and increasing the blade thickness from 0.325 mm to 0.350 mm. Actual results from 10 line stressing lots all showed zero pullback validating the effectiveness of the final design and the use of Monte Carlo tolerance analysis technique. Costly investment for a lead pullback inspection system was avoided and the 100% manual inspection eliminated.

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Section: Tolerance Analysis Methodsmentioning

confidence: 99%

Automotive Package Lead Pullback Elimination Using Monte Carlo Analysis for Determining Leadframe and Blade Design

Talledo¹,

Cabading²,

Real³

2021

JERR

View full text Add to dashboard Cite

show abstract

“…Given the allowable variation on the output (the assembly dimension), the goal is to determine the tolerances on the part dimensions that are linked to the output through a chain of assembly relationships (tolerance chain). This is described by an exact or approximate stackup function, which can be found by either geometric inspection or one of the available methods of tolerance analysis [28]. The optimal allocation is usually the one that minimizes a cost function while satisfying the constraint on output variation.…”

Section: Tolerance Allocationmentioning

confidence: 99%

Concurrent optimization of dimensions and tolerances on structures and mechanisms

Armillotta

2020

Int J Adv Manuf Technol

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The paper deals with a problem of robust optimization of mechanical assemblies, which combines the allocation of tolerances with the selection of dimensional parameters. The two tasks are carried out together with the aim of minimizing the manufacturing cost and the variation on an assembly-level functional characteristic. The problem is addressed in the specific context of planar linkages used in structures and mechanisms. The proposed solution is based on an optimality condition involving both tolerances and dimensions, which allows to define a joint optimization problem avoiding the need of two sequential optimization phases. The condition is developed with the method of Lagrange multipliers using an expanded formulation of the reciprocal power cost-tolerance function. The optimal tolerances depend on the stackup coefficients of the output characteristic, which are calculated with a tolerance analysis method based on a static analogy. The procedure is demonstrated on two examples to illustrate some application details and discuss potential advantages and limitations.

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“…10 Combining the Jacobian model with Torsor model, Jacobian-Torsor model is built, which adopts the Jacobian matrix to propagate tolerance and Torsor model to present the geometrical tolerance. 11,12 The Jacobian-Torsor model is an innovative tolerance analysis tool and shows a great potential for general applications.…”

Section: Introductionmentioning

confidence: 99%

Assembly research of aero-engine casing involving bolted connection based on rigid-compliant coupling assembly deviation modeling

Kang

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Assembly analysis is necessary for mechanical product to optimize design and improve the product quality since assembly deviation is the key factor affecting the assembly quality. In this paper, the rigid-compliant assembly of thin-walled aero-engine casing is studied to evaluate the assembly quality at the design stage. First, the Jacobian–Torsor model is proposed to construct multistage casing assembly owing to its effectiveness to express assembly deviation. The torsor expression is modified and expanded to present the rigid-compliant coupling tolerance. Then, the partial parallel chain is addressed via combination operation. By using extremum and statistical method, the tolerance zone and the distribution of the objective deviation are obtained. Furthermore, to study the effect of specified compliant deviation on statistical distribution, the bolt looseness and positional deformation are investigated to provide an effective means for geometric deviation and connecting joints of aero-engine casing components of precision assembly. The presented method can address compliant deformation tolerance and geometrical manufacturing tolerance together, and is reliable for casing assembly to predict assembly quality at the design stage. In addition, it also has a great significance to guide tolerance design and product optimization.

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A comprehensive review of tolerance analysis models

Cited by 63 publications

References 112 publications

Automotive Package Lead Pullback Elimination Using Monte Carlo Analysis for Determining Leadframe and Blade Design

Automotive Package Lead Pullback Elimination Using Monte Carlo Analysis for Determining Leadframe and Blade Design

Concurrent optimization of dimensions and tolerances on structures and mechanisms

Assembly research of aero-engine casing involving bolted connection based on rigid-compliant coupling assembly deviation modeling

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