Integrated Inspection and Machining for Maximum Conformance to Design Tolerances

ElMaraghy, Hoda A.; Barari, Ahmad; Knopf, George K.

doi:10.1016/s0007-8506(07)60728-8

Cited by 48 publications

(22 citation statements)

References 9 publications

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“…In addition, it numerically simulates the physical fitting process in traditional metrology. However, such an extreme fit has limitations in accuracy [4] and stability [2]. The reason is that minimization of the deviation zone is a highly non-linear problem.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…The reason is that minimization of the deviation zone is a highly non-linear problem. Since the analytical derivatives of the objective function are not usually available, a direct search method is required to solve the problem and its success is very dependent on the search's initial conditions [4].…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…Different sampling techniques, including uniform sampling, random sampling and stratified sampling [5], have been studied. Extensive numerical experiments on various geometric primitives, such as line, plane, circle, sphere and cylinder conclude that inspection results significantly vary by sampling size [4][5][6]. Weckenmann et al observed that the evaluation accuracy is increased with increasing the sample size for circular and linear features and also concluded that different evaluation criteria call for different sampling strategies [7].…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…Weckenmann et al observed that the evaluation accuracy is increased with increasing the sample size for circular and linear features and also concluded that different evaluation criteria call for different sampling strategies [7]. The distribution of the form errors on the actual geometry for flat surfaces was found to be critical for estimating the sample size as well as the uncertainty associated with the evaluation [4]. An iterative sampling method was proposed by Edgeworth and Wilhelm [8].…”

Section: Theoretical Backgroundmentioning

confidence: 99%

See 3 more Smart Citations

Effect of sampling strategy on uncertainty and precision of flatness inspection studied by dynamic minimum deviation zone evaluation

Barari

Mordo

2013

Int. J. Metrol. Qual. Eng.

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Abstract. Evaluation of geometric deviations for the purpose of determining compliance with specified form tolerances requires the acquisition of numerous measured data points and extensive computation to accurately characterize the inspected part's geometry. If there are not enough data points measured or when the measured points are not distributed properly on the measured surface a high level of uncertainty in characterizing the inspected part's geometry can be expected. However, increasing the number of data point also significantly increases the computational time and also increases computational uncertainty by adding to instability of the optimization process required to find the minimum deviation zone. Selections of number and location of the measured date points need to be performed by understanding the significance of these two sources of uncertainties. This paper discussed the effect of sampling procedure on uncertainty and precision of flatness inspection.

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Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

See 2 more Smart Citations

Effect of sampling strategy on uncertainty and precision of flatness inspection studied by dynamic minimum deviation zone evaluation

Barari

Mordo

2013

Int. J. Metrol. Qual. Eng.

Self Cite

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“…However, this information is only available for the measured points. Estimation of geometric deviations at the regions that are not measured by coordinate measurements is necessary for a compensation process in the closed-loop of inspection-machining [3]- [7]. The presented method estimates the distribution of geometric deviations based on the pattern of the available data.…”

Section: Introductionmentioning

confidence: 99%

Convergence of a finite difference approach for detailed deviation zone estimation in coordinate metrology

Barari

Jamiolahmadi

2015

ACTA IMEKO

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<p class="Abstract">In order to comprehend an entire surface's deviation zone, infinite measured points are required. Using the common measurement techniques through coordinate metrology, a limited number of surface actual points can be acquired. However, the obtained points would not provide sufficient information to examine the geometry thoroughly. A novel approach to predict surface behaviour via Distribution of Geometric Deviations (DGD) is examined in this paper. The methodology governs the mean value property of the harmonic functions to solve Laplace equation around each measured point. This DGD model can be used to reconstruct surface deviation values at any unmeasured point of the inspected surface based on a limited number of measured points. The convergence of the introduced approach is studied in this paper. A complete approach to implement the developed methodology is described, and the validation process is studied using actual case studies and mathematical functions. This methodology is practical in closed-loop inspection and manufacturing processes to form a scheme for compensating the surface errors during manufacturing process based on the DGD model.</p>

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Evaluation of Geometric Deviations in Sculptured Surfaces Using Probability Density Estimation

Barari

ElMaraghy

Knopf

Models for Computer Aided Tolerancing in Design and Manufacturing

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Integrated Inspection and Machining for Maximum Conformance to Design Tolerances

Cited by 48 publications

References 9 publications

Effect of sampling strategy on uncertainty and precision of flatness inspection studied by dynamic minimum deviation zone evaluation

Effect of sampling strategy on uncertainty and precision of flatness inspection studied by dynamic minimum deviation zone evaluation

Convergence of a finite difference approach for detailed deviation zone estimation in coordinate metrology

Evaluation of Geometric Deviations in Sculptured Surfaces Using Probability Density Estimation

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