Approach to the Deviation Representation of Non-ideal Cylindrical Surfaces Based on the Curvilinear Coordinate System

Qiao, Lihong; Wu, Jianshun; Zhu, Ziyi; Cui, Yapeng

doi:10.1016/j.procir.2016.02.008

Cited by 16 publications

(5 citation statements)

References 10 publications

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“…This concept uses discrete geometry representation schemes for the representation of part geometry considering all different kinds of geometric deviations (Schleich et al , 2016) and could be used to specify geometrical defects with numerous mathematical descriptions. Qiao et al (2016) developed a deviation coordinate system to represent the non-ideal cylindrical surface by adding a deviation dimension in the curvilinear coordinates instead of applying the Cartesian coordinate system. This description method is convenient for specific geometries such as cylinder and sphere, whereas the application to extend this method for describing complex shapes would be difficult.…”

Section: Literature Reviewmentioning

confidence: 99%

Geometrical deviation identification and prediction method for additive manufacturing

Huang

Dantan

Etienne

et al. 2018

RPJ

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Purpose One major problem preventing further application and benefits from additive manufacturing (AM) nowadays is that AM build parts always end up with poor geometrical quality. To help improving geometrical quality for AM, this study aims to propose geometrical deviation identification and prediction method for AM, which could be used for identifying the factors, forms and values of geometrical deviation of AM parts. Design/methodology/approach This paper applied the skin model-based modal decomposition approach to describe the geometrical deviations of AM and decompose them into different defect modes. On that basis, the approach to propose and extend defect modes was developed. Identification and prediction of the geometrical deviations were then carried out with this method. Finally, a case study with cylinders manufactured by fused deposition modeling was introduced. Two coordinate measuring machine (CMM) machines with different measure methods were used to verify the effectiveness of the methods and modes proposed. Findings The case study results with two different CMM machines are very close, which shows that the method and modes proposed by this paper are very effective. Also, the results indicate that the main geometrical defects are caused by the shrinkage and machine inaccuracy-induced errors which have not been studied enough. Originality/value This work could be used for identifying and predicting the forms and values of AM geometrical deviation, which could help realize the improvement of AM part geometrical quality in design phase more purposefully.

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Section: Literature Reviewmentioning

confidence: 99%

Geometrical deviation identification and prediction method for additive manufacturing

Huang

Dantan

Etienne

et al. 2018

RPJ

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“…According to the definition of the nominal surface in the CCS, a two-dimensional (2D) system—cylindrical surface curvilinear coordinate system (CSCCS) ( z , θ ) is defined. 30 The entire nominal surface could be mapped onto this coordinate system.…”

Section: Coordinate Representation and Formation Of The Non-ideal Cylmentioning

confidence: 99%

A novel representation method of non-ideal surface morphologies and its application in shaft-hole sealing simulation analysis

Qiao

Zhu³

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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Assembly process simulation has been recognized as an effective tool for design verification. The representation of actual part surfaces produced by manufacturing processes is an important issue for assembly simulation. Manufactured part surfaces can also be regarded as non-ideal surface morphologies caused by manufacturing errors. This paper presents a new approach to describe non-ideal cylindrical surface morphologies. A deviation coordinate system is developed by adding a new deviation dimension along the normal direction of the nominal surface modelled in the cylindrical surface curvilinear coordinate system. Considering characteristics of the cylindrical surface machining process, a unified expression of combined Hermite polynomials and Fourier series is used to demonstrate variations that commonly appear on manufactured non-ideal cylindrical surfaces. The Hermite-Fourier polynomials constitute multimorphologies resulting from different manufacturing errors. In the proposed method, a parametric matrix is created from the expansion of the Hermite-Fourier polynomials. Each morphology can be represented by a corresponding matrix. The total deviation of a non-ideal part surface is the sum of deviations caused by each manufacturing error source through a linear combination of various matrices. The effectiveness of the proposed method is verified by a simulation of the sealing function of shaft-hole assemblies.

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“…Many research outcomes have paid special attentions to cylindrical surfaces from a pure geometrical view, that is, with consideration of form defects of the cylindrical surfaces. On the premise of various modeling methods of non-ideal cylindrical surfaces, 22–24 the tolerance analysis process was proceeded and the functional requirement was evaluated. 2,25,26 However, the surface deformations caused by the external forces after the cylindrical surfaces are initially contacted may further considerably influence the positioning, which was not properly accounted in most existed cases.…”

Section: Introductionmentioning

confidence: 99%

Considerations of form defects and surface deformations for tolerance analysis of cylindrical components

Zhang

Liu

Pierre

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part B:

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The modeling and simulation of cylindrical surfaces with consideration of form defects have led to considerable research outcomes in the field of Computer-Aided Tolerancing (CAT). However, further consideration of surface deformations caused by external forces still remains a challenge. To address this issue, this paper properly considers the form defects and surface deformations for tolerance analysis of cylindrical components. First, form defects are considered by modeling skin model shapes of cylindrical surfaces. Afterwards, the tight fit and loose fit of a pair of cylindrical surfaces are identified, and the simulation methods of their positioning are presented. Specifically, for tight fit situation, a k-d tree based Iterative Closest Point (ICP) algorithm is used, and for loose fit situation, the constrained registration approach is adopted. Moreover, a Conjugate Gradient-Fast Fourier Transform (CG-FFT) method is presented for the consideration of surface deformations. In addition, simulations of given examples are conducted, which show the considerable effects of form defects and surface deformations. The simulations may also help determine the best performance of the to-be-assembled cylindrical components.

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Approach to the Deviation Representation of Non-ideal Cylindrical Surfaces Based on the Curvilinear Coordinate System

Cited by 16 publications

References 10 publications

Geometrical deviation identification and prediction method for additive manufacturing

Geometrical deviation identification and prediction method for additive manufacturing

A novel representation method of non-ideal surface morphologies and its application in shaft-hole sealing simulation analysis

Considerations of form defects and surface deformations for tolerance analysis of cylindrical components

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