An equivalent-sphere-based grinding of large aspheric and spherical surfaces

Xu, Liming; Hu, De Jin; Dong, Wenyou; Xie, Chaolong; Liu, Mengqi

doi:10.1007/s00170-022-08795-z

Cited by 7 publications

(6 citation statements)

References 24 publications

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“…Most CVD diamond rollers are disk-shaped. The depth of cut varies with the position change of the grinding point on the generatrix, which is influenced by the system's rigidity [16,26]. Because CVD O Before gringding After grinding Z X R(R') a p Fig.…”

Section: Modeling Of Materials Removalmentioning

confidence: 99%

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Research on the precision machining of CVD rotary dressers based on graded grinding and real-time profile planning path of grinding wheel

Zhu,

Tie,

Zhao

et al. 2024

Int J Adv Manuf Technol

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Dressing wheels with CVD rotary dressers are widely used in the grinding process. To meet the accuracy requirements of dressing grinding wheels, the profile accuracy of CVD rotary dressers must be processed to the micron level. However, CVD diamond is a hard and brittle material, making it difficult to machine to a high degree of shape and dimensional accuracy. A graded grinding method is proposed in this paper to achieve precision machining of the CVD rotary dresser. The normal residual error is calculated by measuring the difference between the actual grinding profile and the target profile along the normal direction first, and then graded compensation processing is carried out based on the magnitude of the normal residual error. In the grinding process, it is proposed that the grinding path be planned according to the real-time profile of the grinding wheel. Experiments on a CVD rotary dresser for the NILES ZP 12 gear grinder showed that the profile accuracy (Peak to Valley, PV) of the CVD rotary dresser was improved from 14.79µm to 1.57µm after grinding. The fluctuation of the arc radii of CVD diamonds in different phases along the circumferential direction was reduced from 0.0117mm to 0.0019mm.

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Section: Modeling Of Materials Removalmentioning

confidence: 99%

“…Xu et al suggested controlling the feed parameters to achieve hierarchical grinding of large rotary aspheric and spherical surfaces. [16]. Zhao et al compensated for the geometric error and wear of the grinding wheel by tuning the grinding trajectory when grinding SIC mirrors [17].…”

Section: Introductionmentioning

confidence: 99%

Research on the precision machining of CVD rotary dressers based on graded grinding and real-time profile planning path of grinding wheel

Zhu,

Tie,

Zhao

et al. 2024

Int J Adv Manuf Technol

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“…Liming Xu investigated a novel methodology called equivalent-sphere swing grinding for the grinding of large revolving aspheric and spherical surfaces by cup wheel, which proposed to improve the machining efficiency and reduce the complexity of machine tools. A parabola surface with diameter of 420mm was machined by this methodology, and the average value of the form error was less than 0.056mm [5]. Ping Li employed an Infeed Grinding (IG) mode on the Schneider Surfacing Center SCG 600 with a rotary table and a cup wheel to process a Φ300mm diameter plano mirror, whose form error of Pt was about 2μm [6].…”

Section: Introductionmentioning

confidence: 99%

Ultra-precision grinding of light-weighted SiC aspheric mirror

Zhou,

Ma,

Zhong

et al. 2023

J. Phys.: Conf. Ser.

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Based on the approximate 3D model of light-weighted SiC aspheric mirror, the deformation and stress at different positions along the radius caused by the grinding force on the mirror surface was analysed. Then the influence of processing parameters on grinding force was experimentally studied, and the prediction model of grinding force was established. Finally, the grinding experiment of light-weighted SiC aspheric mirror was carried out. The PV value of the aspheric surface form error was 4.15μm, and the Ra of surface roughness was about 28nm. The experimental results verified the feasibility of ultra-precision forming of lightweight SiC mirror by controlling grinding force based on process parameters.

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“…Its relatively small size, complex structure, and it being significantly hard and brittle make it difficult to manufacture. Generating grinding with a cup wheel is a common high-efficiency, highprecision, spherical forming method [5,6], by which the one-time formation of the HSR single spherical surface, support rod, and chamfer can be completed with a single-direction feeding and tool posture [7]. Studies regarding the application of this method to HSR machining are limited.…”

Section: Introductionmentioning

confidence: 99%

“…For an HSR with small, complex structures, point contact grinding requires multidimensional machine tool motion to ensure the accuracy of the HSR spherical surface [14,15], and the grinding wheel wears quickly, requiring frequent monitoring and adjustment in the mid-process to ensure the certainty of the contact point [16]. Spherical grinding often utilizes a specific ring line of the cup wheel to simultaneously grind a wide range of spherical surfaces, effectively ensuring the rotational symmetry of the spherical surface around the workpiece axis and increasing the grinding efficiency [6,17].…”

Section: Introductionmentioning

confidence: 99%

Geometric Error Analysis and Compensation in Spherical Generating Grinding of Hemispherical Shell Resonators

et al. 2022

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The geometric accuracy of a hemispherical shell resonator (HSR) affects the assembly accuracy and final performance of a hemispherical resonant gyroscope in many ways. During the precision grinding of a resonator, the tool-setting error and wear error affect the form and positional accuracy of the inner and outer spherical surfaces. In this study, a compensation method for generating grinding of the HSR is proposed to address this problem. The geometric errors of the inner and outer spherical surfaces are systemically analyzed and a geometric model of the tool setting and wheel wear is established for generating grinding of the HSR. According to this model, a mapping relationship between the wheel pose and size, form, and positional error of the HSR was proposed. Experiments regarding machining, on-machine measurements, and error compensation were performed using the mapping relationship. The results demonstrate that the proposed method can reduce the radius error of the inner and outer spherical surfaces from 10 μm to 1 μm, sphericity from 5 μm to 1.5 μm, and concentricity from 15 μm to 3 μm following grinding. The form and positional errors are simultaneously improved, verifying the effectiveness of the proposed method.

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An equivalent-sphere-based grinding of large aspheric and spherical surfaces

Cited by 7 publications

References 24 publications

Research on the precision machining of CVD rotary dressers based on graded grinding and real-time profile planning path of grinding wheel

Research on the precision machining of CVD rotary dressers based on graded grinding and real-time profile planning path of grinding wheel

Ultra-precision grinding of light-weighted SiC aspheric mirror

Geometric Error Analysis and Compensation in Spherical Generating Grinding of Hemispherical Shell Resonators

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