A discrete geometry approach for tolerance analysis of mechanism

Schleich, Benjamin; Wartzack, Sandro

doi:10.1016/j.mechmachtheory.2014.02.013

Cited by 43 publications

(13 citation statements)

References 38 publications

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“…Some researchers have proposed numerical optimization approaches with several objective functions (convex hull volume, Euclidean distance, weighted unsigned distance, weighted signed distance) [23], experimental and theoretical investigations using the SDT and clearance domain (gap hull) models [24], the Fast Fourier Transform and the Conjugate Gradient Method in case of elastic contact of rough surfaces [25,26], development of an optimization algorithm and geometric interference relationships [27] and some other methods in [28][29][30]. Moreover, some others researchers proposed to study the floating contacts by means of a regularized closure function and a constrained optimization problem [31], Virtual Work Principle and a contact model of joints to determine the displacements at each node and relative displacements/rotations of the kinematic pairs [32], constrained registration techniques and difference surface in a sequential positioning problem [33], Tooth Contact Analysis algorithm [2,34], the Gap Hull estimation [35]. Among all the previous methods, the Signed Distance Approach [17,18,20,23] combined with an optimization technique is selected to characterize the fixed and sliding contacts assembly in the mechanical system.…”

Section: Mathematical Formulation Of the Assembly Feasibility Of The mentioning

confidence: 99%

“…It is important to note that the total simulations time presented in these tables in case of tolerance analysis using the KDE simulation samples, includes the time of the preliminary MCS applied to obtain the original data, the time to get the joint PDF of the clearance components and the new samples and finally the time to carry out the whole tolerance analysis simulation. Thus, 1 T represents the addition of the time to carry out the preliminary MCS to get the original data and the time to generate new samples (matrix P) of gap components based on the KDE method; 2 T represents the time to carry out the tolerance analysis of the mechanical system using the KDE simulation samples. This particular example does not imply multiple fixed, sliding and floating contacts during simulations.…”

Section: Fig 4 Data Scatterplot Matrices: (A) Original Data (B) Kdementioning

confidence: 99%

“…In a competitive industrial area, companies work continuously to improve the quality of their products, reduce the manufacturing costs and decrease the number of defective products. Tolerance analysis is a key tool integrated into the design phase of the manufacturing products, which allows designers to achieve such goals [1,2]. Tolerance analysis aims to verify if the individual tolerance specified to each part in the product allows the designer to reach the assembly feasibility and the functional requirements.…”

Section: Introductionmentioning

confidence: 99%

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Probabilistic-based approach using Kernel Density Estimation for gap modeling in a statistical tolerance analysis

Goka

Beaurepaire

Homri

et al. 2019

Mechanism and Machine Theory

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Probabilistic-based approach using Kernel Density Estimation for gap modeling in a statistical tolerance analysis. Mechanism and Machine Theory, Elsevier, 2019, 139, pp. AbstractThe statistical tolerance analysis has become a key element used in the design stage to reduce the manufacturing cost, the rejection rate and to have high quality products. One of the frequently used methods is the Monte Carlo simulation, employed to compute the non-conformity rate due to its efficiency in handling the tolerance analysis of over-constrained mechanical systems. However, this simulation technique requires excessive numerical efforts. The goal of this paper is to improve this method by proposing a probabilistic model of gaps in fixed and sliding contacts and involved in the tolerance analysis of an assembly. The probabilistic model is carried out on the clearance components of the sliding and fixed contacts for their assembly feasibility considering all the imperfections on the surfaces. The kernel density estimation method is used to deal with the probabilistic model. The proposed method is applied to an over-constrained mechanical system and compared to the classical method regarding their computation time. 1.

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Section: Mathematical Formulation Of the Assembly Feasibility Of The mentioning

confidence: 99%

Section: Fig 4 Data Scatterplot Matrices: (A) Original Data (B) Kdementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Probabilistic-based approach using Kernel Density Estimation for gap modeling in a statistical tolerance analysis

Goka

Beaurepaire

Homri

et al. 2019

Mechanism and Machine Theory

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“…The design tolerances estimated through this simulation subsequently determine the manufacturing tolerances. In another approach, complex workpiece with intricate shapes are classified based on its overall discrete geometry and tolerance analysis is performed on this overall part geometry (Schleich and Wartzack 2014). This simplifies the tolerance analysis for non-ideal complex workpiece shapes.…”

Section: Literature Reviewmentioning

confidence: 99%

Process-based tolerance assessment of connecting rod machining process

Sharma¹,

Rao

Babu

2016

J Ind Eng Int

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Process tolerancing based on the process capability studies is the optimistic and pragmatic approach of determining the manufacturing process tolerances. On adopting the define-measure-analyze-improve-control approach, the process potential capability index (C p ) and the process performance capability index (C pk ) values of identified process characteristics of connecting rod machining process are achieved to be greater than the industry benchmark of 1.33, i.e., four sigma level. The tolerance chain diagram methodology is applied to the connecting rod in order to verify the manufacturing process tolerances at various operations of the connecting rod manufacturing process. This paper bridges the gap between the existing dimensional tolerances obtained via tolerance charting and process capability studies of the connecting rod component. Finally, the process tolerancing comparison has been done by adopting a tolerance capability expert software.

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“…He [16] proposed an assembly tolerance analysis and design method based on skin model shape. This method is highly accurate [15][16][17] but computationally expensive [18].…”

Section: Introductionmentioning

confidence: 99%

Tolerance Modeling and Analysis Considering Form Defects for Spaceborne Array Antenna

Liu

Qiu

et al. 2020

Applied Sciences

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Tolerance analysis is becoming increasingly important for tolerance design and optimization. When dealing with electromechanical products such as the array antenna, the form errors of the assembly must be considered. Traditional tolerance analysis with form errors relies on a double loop process, which is computationally expensive. A new tolerance analysis method is proposed in this paper, which can be achieved by a single loop process. First, a new tolerance modeling method considering form errors was proposed, it can represent the geometric error of a surface feature precisely. Then an effective sampling method was developed by introducing the variance separation method. An assembly simulation method was proposed to determine the final state of the whole assembly. Finally, the tolerance analysis was achieved based on the sufficient sample. The proposed analysis method was applied to an X-band spaceborne active-phased array antenna, numerical simulation results show the effectiveness of the method.

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A discrete geometry approach for tolerance analysis of mechanism

Cited by 43 publications

References 38 publications

Probabilistic-based approach using Kernel Density Estimation for gap modeling in a statistical tolerance analysis

Probabilistic-based approach using Kernel Density Estimation for gap modeling in a statistical tolerance analysis

Process-based tolerance assessment of connecting rod machining process

Tolerance Modeling and Analysis Considering Form Defects for Spaceborne Array Antenna

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