on Large-scale dwell time algorithm for computer controlled optical surfacing

Lili, 罗丽丽 Luo; Jianguo, 何建国 He; Yajun, 王亚军 Wang; Yunfei, 张云飞 Zhang; Wen, 黄文 Huang; Fang, 吉方 Ji

doi:10.3788/hplpb20112312.3207

Cited by 2 publications

(3 citation statements)

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“…This method has limitations in its application due to its high computational complexity, morbid matrix state, and slow computational speed. Luo et al [ 30 ] determined the dwell time in the computer-controlled optical surfacing (CCOS) of optical elements with large diameters using a non-negative least squares method based on a sparse matrix and researched the regularization of the method. Based on introducing the regularization weight factor into the dwell time matrix equation, Wu et al [ 31 ] added extra removal amounts to expand the freedom of the dwell time solution.…”

Section: Calculation Methods Of Dwell Timementioning

confidence: 99%

“…The core principle of the algorithm is to use the information-sharing behavior of each individual in the whole swarm to cause the motion of all particles to change iteratively; they then tend to move towards a specified solution space, finally obtaining the optimal solution [39] (pp. [29][30][31][32][33][34][35][36][37][38][39].…”

Section: Establishing the Dwell Time Optimization Algorithmmentioning

confidence: 99%

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A Method for Optimizing the Dwell Time of Optical Components in Magnetorheological Finishing Based on Particle Swarm Optimization

Gao,

Fan,

Wang

et al. 2023

Micromachines

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In this paper, a dwell time optimization method based on the particle swarm optimization algorithm is proposed according to the pulse iteration principle in order to achieve high-precision magnetorheological finishing of optical components. The dwell time optimization method explores the optimal solution in the solution space by comparing the accuracy value of the final surface with the set value. In this way, the dwell time optimization method was able to achieve global optimization of the overall dwell times and each dwell time point, ultimately realizing the high-precision processing of a surface. Through the simulation of two Φ156 mm asphaltic mirrors (1# and 2#), the root-mean-square (RMS) and peak–valley (PV) values of 1# converged from the initial values of 169.164 nm and 1161.69 nm to 24.79 nm and 911.53 nm. Similarly, the RMS and PV values of 2# converged from the initial values of 187.27 nm and 1694.05 nm to 31.76 nm and 1045.61 nm. The simulation results showed that compared with the general pulse iteration method, the proposed algorithm could obtain a more accurate dwell time distribution of each point under the condition of almost the same processing time, subsequently acquiring a better convergence surface and reducing mid-spatial error. Finally, the accuracy of the optimization algorithm was verified through experiments. The experimental results demonstrated that the optimized algorithm could be used to perform high-precision surface machining. Overall, this optimization method provides a solution for dwell time calculation in the process of the magnetorheological finishing of optical components.

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Section: Calculation Methods Of Dwell Timementioning

confidence: 99%

Section: Establishing the Dwell Time Optimization Algorithmmentioning

confidence: 99%

A Method for Optimizing the Dwell Time of Optical Components in Magnetorheological Finishing Based on Particle Swarm Optimization

Gao,

Fan,

Wang

et al. 2023

Micromachines

View full text Add to dashboard Cite

show abstract

“…At present, the common method is such as the pulse iteration method, Fourier transform method, matrix method and so on. In this paper, the matrix method and the pulse iteration method have been used to overcome the problem of numerical divergence [4,5] . The initial surface error has been set as Eq.7 and the amplitude is 1μm.…”

Section: Evaluation Of Residual Error Of the Annular Polishing Padmentioning

confidence: 99%

Study on the Removal Function of Annular Polishing Pad Based on the Computer Controlled Polishing Technology

Zhang

Wan

Lin

et al. 2013

AMM

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On the basis of the Preston assumption, the removal function of the annular polishing pad with the structure of the dual-rotor movement has been studied. The level of the similarity of the characteristic curve of the annular polishing pad and the Gaussian distribution has been evaluated by the tending factor. The pulse iteration method and the matrix calculation have been used to compute the residual error and the dwell time. The simulation result proved that the residual error (RMS) polished by the annular polishing pad had dropped 8.7% than that polished by the normal polishing pad with the same initial error condition, the surface quality has been improved by the new method.

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on Large-scale dwell time algorithm for computer controlled optical surfacing

Cited by 2 publications

References 0 publications

A Method for Optimizing the Dwell Time of Optical Components in Magnetorheological Finishing Based on Particle Swarm Optimization

A Method for Optimizing the Dwell Time of Optical Components in Magnetorheological Finishing Based on Particle Swarm Optimization

Study on the Removal Function of Annular Polishing Pad Based on the Computer Controlled Polishing Technology

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