A Minimum Zone Method for Evaluating Perpendicularity Errors of Planar Lines Based on PSO Algorithm

Zhang, Ke; Cao, Xiaoming

doi:10.1109/aici.2009.481

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…Therefore aimed to compensate orientation error, it is necessary to improve simulation turntable accuracy cost-effectively by modeling, identifying and compensating of these error sources. Among these error sources, perpendicular errors are important factors which affect the accuracy of simulation [4,5].…”

Section: Introductionmentioning

confidence: 99%

Evaluation Method to Determine Perpendicular Error of Spindle Units Using Transformation Matrix

2010

AMR

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A 3-DOF simulation turntable with perpendicular errors is introduced. The characteristics of period and variation in the perpendicular error are liable to bring about orientation error, which is a function of the overall static inaccuracy. Aimed to compensate orientation error, a perpendicular error calibration method is proposed to measure the perpendicular error between the axis and the bushing of a rotating axis in simulation turntable. Based on transformation matrix, gesture transformation matrix with various error items is achieved. As a result of this analysis, perpendicular error analysis is carried out when this measurement result is applied to a simulation turntable. Furthermore, this study also permits the user to know how to minimize some error sources of the simulation turntable.

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Section: Introductionmentioning

confidence: 99%

Evaluation Method to Determine Perpendicular Error of Spindle Units Using Transformation Matrix

2010

AMR

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show abstract

Section: Introductionmentioning

confidence: 99%

Perpendicular Error Calibration of Simulation Turntable Using Transformation Matrix

2010

AMR

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Many errors including perpendicular error influence the accuracy of simulation turntable, which is a crucial equipment in hardware-in-the-loop simulation system. The aim of this paper is to propose a new method of perpendicular error motion separation of rotating spindle on a simulation turntable. Based on transformation matrix and small angle approximation, gesture transformation matrix with various error items is achieved. As a result of this analysis, perpendicular error analysis is carried out when this measurement result is applied to a simulation turntable. Furthermore, this study also permits the user to know how to minimize some error sources of the simulation turntable.

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Assessment of Femoral Head Sphericity Using Coordinate Data through Modified Differential Evolution Approach

Mian,

Almutairi,

Aboudaif

2024

Mathematics

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Coordinate measuring machines (CMMs) are utilized to acquire coordinate data from manufactured surfaces for inspection reasons. These data are employed to gauge the geometric form errors associated with the surface. An optimization procedure of fitting a substitute surface to the measured points is applied to assess the form error. Since the traditional least-squares approach is susceptible to overestimation, it leads to unreasonable rejections. This paper implements a modified differential evolution (DE) algorithm to estimate the minimum zone femoral head sphericity. In this algorithm, opposition-based learning is considered for population initialization, and an adaptive scheme is enacted for scaling factor and crossover probability. The coefficients of the correlation factor and the uncertainty propagation are also measured so that the result’s uncertainty can be determined. Undoubtedly, the credibility and plausibility of inspection outcomes are strengthened by evaluating measurement uncertainty. Several data sets are used to corroborate the outcome of the DE algorithm. CMM validation shows that the modified DE algorithm can measure sphericity with high precision and consistency. This algorithm allows for an adequate initial solution and adaptability to address a wide range of industrial problems. It ensures a proper balance between exploitation and exploration capabilities. Thus, the suggested methodology, based on the computational results, is feasible for the online deployment of the sphericity evaluation. The adopted DE strategy is simple to use, has few controlling variables, and is computationally less expensive. It guarantees a robust solution and can be used to compute different form errors.

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A Minimum Zone Method for Evaluating Perpendicularity Errors of Planar Lines Based on PSO Algorithm

Cited by 3 publications

References 18 publications

Evaluation Method to Determine Perpendicular Error of Spindle Units Using Transformation Matrix

Evaluation Method to Determine Perpendicular Error of Spindle Units Using Transformation Matrix

Perpendicular Error Calibration of Simulation Turntable Using Transformation Matrix

Assessment of Femoral Head Sphericity Using Coordinate Data through Modified Differential Evolution Approach

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