Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors
In the design of a large deployable mesh reflector, high surface accuracy is one of ultimate goals since it directly determines overall performance of the reflector. Therefore, evaluation of surface accuracy is needed in many cases of design and analysis of large deployable mesh reflectors. The surf...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2022/5352146 |
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| author | Sichen Yuan |
| author_facet | Sichen Yuan |
| author_sort | Sichen Yuan |
| collection | DOAJ |
| description | In the design of a large deployable mesh reflector, high surface accuracy is one of ultimate goals since it directly determines overall performance of the reflector. Therefore, evaluation of surface accuracy is needed in many cases of design and analysis of large deployable mesh reflectors. The surface accuracy is usually specified as root-mean-square error, which measures deviation of a mesh geometry from a desired working surface. In this paper, methods of root-mean-square error calculation for large deployable mesh reflectors are reviewed. Concept of reflector gain, which describes reflector performance, and its relationship with the root-mean-square error is presented. Approaches to prediction or estimation of root-mean-square error in preliminary design of a large deployable mesh reflector are shown. Three methods of root-mean-square error calculation for large deployable mesh reflectors, namely, the nodal deviation root-mean-square error, the best-fit surface root-mean-square error, and the direct root-mean-square error, are presented. Concept of effective region is introduced. An adjusted calculation of root-mean-square error is suggested when the concept of effective region is involved. Finally, these reviewed methods of root-mean-square error calculation are applied to surface accuracy evaluation of a two-facet mesh geometry, a center-feed mesh reflector, and an offset-feed mesh reflector for demonstration and comparison. |
| format | Article |
| id | doaj-art-13e58b3819c844429403717bfac77753 |
| institution | Kabale University |
| issn | 1687-5974 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-13e58b3819c844429403717bfac777532025-02-03T06:11:50ZengWileyInternational Journal of Aerospace Engineering1687-59742022-01-01202210.1155/2022/5352146Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh ReflectorsSichen Yuan0A. Leon Linton Department of MechanicalIn the design of a large deployable mesh reflector, high surface accuracy is one of ultimate goals since it directly determines overall performance of the reflector. Therefore, evaluation of surface accuracy is needed in many cases of design and analysis of large deployable mesh reflectors. The surface accuracy is usually specified as root-mean-square error, which measures deviation of a mesh geometry from a desired working surface. In this paper, methods of root-mean-square error calculation for large deployable mesh reflectors are reviewed. Concept of reflector gain, which describes reflector performance, and its relationship with the root-mean-square error is presented. Approaches to prediction or estimation of root-mean-square error in preliminary design of a large deployable mesh reflector are shown. Three methods of root-mean-square error calculation for large deployable mesh reflectors, namely, the nodal deviation root-mean-square error, the best-fit surface root-mean-square error, and the direct root-mean-square error, are presented. Concept of effective region is introduced. An adjusted calculation of root-mean-square error is suggested when the concept of effective region is involved. Finally, these reviewed methods of root-mean-square error calculation are applied to surface accuracy evaluation of a two-facet mesh geometry, a center-feed mesh reflector, and an offset-feed mesh reflector for demonstration and comparison.http://dx.doi.org/10.1155/2022/5352146 |
| spellingShingle | Sichen Yuan Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors International Journal of Aerospace Engineering |
| title | Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors |
| title_full | Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors |
| title_fullStr | Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors |
| title_full_unstemmed | Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors |
| title_short | Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors |
| title_sort | review of root mean square error calculation methods for large deployable mesh reflectors |
| url | http://dx.doi.org/10.1155/2022/5352146 |
| work_keys_str_mv | AT sichenyuan reviewofrootmeansquareerrorcalculationmethodsforlargedeployablemeshreflectors |