Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam
Considering uncertain geometrical and material parameters, the lower and upper bounds of the band gap of an undulated beam with periodically arched shape are studied by the Monte Carlo Simulation (MCS) and interval analysis based on the Taylor series. Given the random variations of the overall uncer...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2017-09-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5000979 |
| _version_ | 1819179281758027776 |
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| author | Yi Li Yanlong Xu |
| author_facet | Yi Li Yanlong Xu |
| author_sort | Yi Li |
| collection | DOAJ |
| description | Considering uncertain geometrical and material parameters, the lower and upper bounds of the band gap of an undulated beam with periodically arched shape are studied by the Monte Carlo Simulation (MCS) and interval analysis based on the Taylor series. Given the random variations of the overall uncertain variables, scatter plots from the MCS are used to analyze the qualitative sensitivities of the band gap respect to these uncertainties. We find that the influence of uncertainty of the geometrical parameter on the band gap of the undulated beam is stronger than that of the material parameter. And this conclusion is also proved by the interval analysis based on the Taylor series. Our methodology can give a strategy to reduce the errors between the design and practical values of the band gaps by improving the accuracy of the specially selected uncertain design variables of the periodical structures. |
| first_indexed | 2024-12-22T21:55:57Z |
| format | Article |
| id | doaj.art-55d42370ffd74ea38099b3562b36829d |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-22T21:55:57Z |
| publishDate | 2017-09-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-55d42370ffd74ea38099b3562b36829d2022-12-21T18:11:14ZengAIP Publishing LLCAIP Advances2158-32262017-09-0179095315095315-810.1063/1.5000979057709ADVResearch on the effects of geometrical and material uncertainties on the band gap of the undulated beamYi Li0Yanlong Xu1School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaSchool of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaConsidering uncertain geometrical and material parameters, the lower and upper bounds of the band gap of an undulated beam with periodically arched shape are studied by the Monte Carlo Simulation (MCS) and interval analysis based on the Taylor series. Given the random variations of the overall uncertain variables, scatter plots from the MCS are used to analyze the qualitative sensitivities of the band gap respect to these uncertainties. We find that the influence of uncertainty of the geometrical parameter on the band gap of the undulated beam is stronger than that of the material parameter. And this conclusion is also proved by the interval analysis based on the Taylor series. Our methodology can give a strategy to reduce the errors between the design and practical values of the band gaps by improving the accuracy of the specially selected uncertain design variables of the periodical structures.http://dx.doi.org/10.1063/1.5000979 |
| spellingShingle | Yi Li Yanlong Xu Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam AIP Advances |
| title | Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam |
| title_full | Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam |
| title_fullStr | Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam |
| title_full_unstemmed | Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam |
| title_short | Research on the effects of geometrical and material uncertainties on the band gap of the undulated beam |
| title_sort | research on the effects of geometrical and material uncertainties on the band gap of the undulated beam |
| url | http://dx.doi.org/10.1063/1.5000979 |
| work_keys_str_mv | AT yili researchontheeffectsofgeometricalandmaterialuncertaintiesonthebandgapoftheundulatedbeam AT yanlongxu researchontheeffectsofgeometricalandmaterialuncertaintiesonthebandgapoftheundulatedbeam |