Optimization design method of machine tool static geometric accuracy using tolerance modeling
Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error...
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| Autor*in: |
Wu, Haorong [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: The international journal of advanced manufacturing technology - Springer London, 1985, 118(2021), 5-6 vom: 22. Sept., Seite 1793-1809 |
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| Übergeordnetes Werk: |
volume:118 ; year:2021 ; number:5-6 ; day:22 ; month:09 ; pages:1793-1809 |
| Links: |
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| DOI / URN: |
10.1007/s00170-021-07992-6 |
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| Katalog-ID: |
OLC2077709928 |
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| 520 | |a Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. | ||
| 650 | 4 | |a Monte Carlo simulation; | |
| 650 | 4 | |a Small displacement torsor; | |
| 650 | 4 | |a Tolerance modeling; | |
| 650 | 4 | |a Assembly accuracy model; | |
| 650 | 4 | |a Static geometric accuracy optimization of machine tools | |
| 700 | 1 | |a Li, Xiaoxiao |4 aut | |
| 700 | 1 | |a Sun, Fuchun |4 aut | |
| 700 | 1 | |a Zheng, Hualin |4 aut | |
| 700 | 1 | |a Zhao, Yongxin |4 aut | |
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10.1007/s00170-021-07992-6 doi (DE-627)OLC2077709928 (DE-He213)s00170-021-07992-6-p DE-627 ger DE-627 rakwb eng 670 VZ Wu, Haorong verfasserin aut Optimization design method of machine tool static geometric accuracy using tolerance modeling 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. Monte Carlo simulation; Small displacement torsor; Tolerance modeling; Assembly accuracy model; Static geometric accuracy optimization of machine tools Li, Xiaoxiao aut Sun, Fuchun aut Zheng, Hualin aut Zhao, Yongxin aut Enthalten in The international journal of advanced manufacturing technology Springer London, 1985 118(2021), 5-6 vom: 22. Sept., Seite 1793-1809 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:118 year:2021 number:5-6 day:22 month:09 pages:1793-1809 https://doi.org/10.1007/s00170-021-07992-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2018 GBV_ILN_2333 AR 118 2021 5-6 22 09 1793-1809 |
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10.1007/s00170-021-07992-6 doi (DE-627)OLC2077709928 (DE-He213)s00170-021-07992-6-p DE-627 ger DE-627 rakwb eng 670 VZ Wu, Haorong verfasserin aut Optimization design method of machine tool static geometric accuracy using tolerance modeling 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. Monte Carlo simulation; Small displacement torsor; Tolerance modeling; Assembly accuracy model; Static geometric accuracy optimization of machine tools Li, Xiaoxiao aut Sun, Fuchun aut Zheng, Hualin aut Zhao, Yongxin aut Enthalten in The international journal of advanced manufacturing technology Springer London, 1985 118(2021), 5-6 vom: 22. Sept., Seite 1793-1809 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:118 year:2021 number:5-6 day:22 month:09 pages:1793-1809 https://doi.org/10.1007/s00170-021-07992-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2018 GBV_ILN_2333 AR 118 2021 5-6 22 09 1793-1809 |
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10.1007/s00170-021-07992-6 doi (DE-627)OLC2077709928 (DE-He213)s00170-021-07992-6-p DE-627 ger DE-627 rakwb eng 670 VZ Wu, Haorong verfasserin aut Optimization design method of machine tool static geometric accuracy using tolerance modeling 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. Monte Carlo simulation; Small displacement torsor; Tolerance modeling; Assembly accuracy model; Static geometric accuracy optimization of machine tools Li, Xiaoxiao aut Sun, Fuchun aut Zheng, Hualin aut Zhao, Yongxin aut Enthalten in The international journal of advanced manufacturing technology Springer London, 1985 118(2021), 5-6 vom: 22. Sept., Seite 1793-1809 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:118 year:2021 number:5-6 day:22 month:09 pages:1793-1809 https://doi.org/10.1007/s00170-021-07992-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2018 GBV_ILN_2333 AR 118 2021 5-6 22 09 1793-1809 |
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10.1007/s00170-021-07992-6 doi (DE-627)OLC2077709928 (DE-He213)s00170-021-07992-6-p DE-627 ger DE-627 rakwb eng 670 VZ Wu, Haorong verfasserin aut Optimization design method of machine tool static geometric accuracy using tolerance modeling 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. Monte Carlo simulation; Small displacement torsor; Tolerance modeling; Assembly accuracy model; Static geometric accuracy optimization of machine tools Li, Xiaoxiao aut Sun, Fuchun aut Zheng, Hualin aut Zhao, Yongxin aut Enthalten in The international journal of advanced manufacturing technology Springer London, 1985 118(2021), 5-6 vom: 22. Sept., Seite 1793-1809 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:118 year:2021 number:5-6 day:22 month:09 pages:1793-1809 https://doi.org/10.1007/s00170-021-07992-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2018 GBV_ILN_2333 AR 118 2021 5-6 22 09 1793-1809 |
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10.1007/s00170-021-07992-6 doi (DE-627)OLC2077709928 (DE-He213)s00170-021-07992-6-p DE-627 ger DE-627 rakwb eng 670 VZ Wu, Haorong verfasserin aut Optimization design method of machine tool static geometric accuracy using tolerance modeling 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. Monte Carlo simulation; Small displacement torsor; Tolerance modeling; Assembly accuracy model; Static geometric accuracy optimization of machine tools Li, Xiaoxiao aut Sun, Fuchun aut Zheng, Hualin aut Zhao, Yongxin aut Enthalten in The international journal of advanced manufacturing technology Springer London, 1985 118(2021), 5-6 vom: 22. Sept., Seite 1793-1809 (DE-627)129185299 (DE-600)52651-4 (DE-576)014456192 0268-3768 nnns volume:118 year:2021 number:5-6 day:22 month:09 pages:1793-1809 https://doi.org/10.1007/s00170-021-07992-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2018 GBV_ILN_2333 AR 118 2021 5-6 22 09 1793-1809 |
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Optimization design method of machine tool static geometric accuracy using tolerance modeling |
| abstract |
Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 |
| abstractGer |
Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 |
| abstract_unstemmed |
Abstract Existing precision design methods cannot directly guide the tolerance design. Therefore, in this study, an optimization design method of machine tool static geometric accuracy based on tolerance modeling is proposed. In this methodology, the mapping relationship between the geometric error of machine tools and tolerance design is established using the small displacement torsor to represent the tolerance information and the Monte Carlo simulation method is used to establish the response model of the torsor parameters and the tolerance variation bandwidths. An assembly accuracy model is then established by combining a machine tool topology analysis and the forming mechanism of the joint surface error. To calculate the tolerances of the component joint surface, a tolerance response model related to the component joint surface tolerance and torsor parameters is developed. Finally, according to the state function of assembly accuracy reliability, a function response model of the assembly accuracy, reliability, and tolerance is developed. Combining the assembly’s processing cost model with the accuracy, reliability, and tolerance principles, a tolerance optimization model of the static geometric accuracy of a CNC machine tool, a linear axis motion guide, is constructed as a case study. Using a simulated annealing genetic algorithm to solve the tolerance optimization model, the tolerance optimization value is obtained, thereby verifying the effectiveness of the proposed method. © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 |
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GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2018 GBV_ILN_2333 |
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5-6 |
| title_short |
Optimization design method of machine tool static geometric accuracy using tolerance modeling |
| url |
https://doi.org/10.1007/s00170-021-07992-6 |
| remote_bool |
false |
| author2 |
Li, Xiaoxiao Sun, Fuchun Zheng, Hualin Zhao, Yongxin |
| author2Str |
Li, Xiaoxiao Sun, Fuchun Zheng, Hualin Zhao, Yongxin |
| ppnlink |
129185299 |
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| hochschulschrift_bool |
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| doi_str |
10.1007/s00170-021-07992-6 |
| up_date |
2024-07-03T16:55:55.935Z |
| _version_ |
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