Generalized model and performance analysis of two-axis flexure hinges based on quadratic rational Bézier curve.
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| Title: | Generalized model and performance analysis of two-axis flexure hinges based on quadratic rational Bézier curve. |
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| Authors: | Wang, Xuewen1,2 (AUTHOR), Yu, Yang1,3 (AUTHOR) yuyang@ciomp.ac.cn, Xu, Zhenbang1,2,3 (AUTHOR) xuzhenbang@ciomp.ac.cn, Xu, Anpeng1,2 (AUTHOR), Qin, Chao1,3 (AUTHOR) |
| Source: | Mechanics Based Design of Structures & Machines. 2024, Vol. 52 Issue 8, p5350-5370. 21p. |
| Subjects: | Flexure, Hinges, Rotational motion, Lateral loads, Compliant mechanisms, Virtual work, Torsional load |
| Abstract: | This article presents a generalized model of two-axis flexure hinges based on quadratic rational Bézier curve. The generalized closed-form compliance equations are derived based on the virtual work theory and the superposition relationship of the deformation. Then, how to determine the number of sensitive axes, the location of the primary and secondary sensitive axes, and the configuration of the notch profile are discussed. There are 20 types of notch profiles derived from single or mixed, symmetrical or asymmetrical curves. And, the correctness of the compliance equations is verified by finite-element analysis. The maximum relative error does not exceed 10%. Finally, the precision of rotation, the maximum stress, and the effect of structural parameters on the compliance are analyzed. The results show that for two-axis flexure hinges with a flush single curve notch profile, the proximity of the center of rotation to the load end does not significantly affect the axial compliance as well as the torsional compliance. For hybrid two-axis flexure hinges with symmetric structure, the ability to maintain the center of rotation under lateral forces is better than that under the same torque. The proposed generalized model provides a reference for the design of spatial compliant mechanisms. [ABSTRACT FROM AUTHOR] |
| Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 178594336 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Generalized model and performance analysis of two-axis flexure hinges based on quadratic rational Bézier curve. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wang%2C+Xuewen%22">Wang, Xuewen</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yu%2C+Yang%22">Yu, Yang</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> yuyang@ciomp.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Zhenbang%22">Xu, Zhenbang</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> xuzhenbang@ciomp.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Anpeng%22">Xu, Anpeng</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Qin%2C+Chao%22">Qin, Chao</searchLink><relatesTo>1,3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mechanics+Based+Design+of+Structures+%26+Machines%22">Mechanics Based Design of Structures & Machines</searchLink>. 2024, Vol. 52 Issue 8, p5350-5370. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Flexure%22">Flexure</searchLink><br /><searchLink fieldCode="DE" term="%22Hinges%22">Hinges</searchLink><br /><searchLink fieldCode="DE" term="%22Rotational+motion%22">Rotational motion</searchLink><br /><searchLink fieldCode="DE" term="%22Lateral+loads%22">Lateral loads</searchLink><br /><searchLink fieldCode="DE" term="%22Compliant+mechanisms%22">Compliant mechanisms</searchLink><br /><searchLink fieldCode="DE" term="%22Virtual+work%22">Virtual work</searchLink><br /><searchLink fieldCode="DE" term="%22Torsional+load%22">Torsional load</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This article presents a generalized model of two-axis flexure hinges based on quadratic rational Bézier curve. The generalized closed-form compliance equations are derived based on the virtual work theory and the superposition relationship of the deformation. Then, how to determine the number of sensitive axes, the location of the primary and secondary sensitive axes, and the configuration of the notch profile are discussed. There are 20 types of notch profiles derived from single or mixed, symmetrical or asymmetrical curves. And, the correctness of the compliance equations is verified by finite-element analysis. The maximum relative error does not exceed 10%. Finally, the precision of rotation, the maximum stress, and the effect of structural parameters on the compliance are analyzed. The results show that for two-axis flexure hinges with a flush single curve notch profile, the proximity of the center of rotation to the load end does not significantly affect the axial compliance as well as the torsional compliance. For hybrid two-axis flexure hinges with symmetric structure, the ability to maintain the center of rotation under lateral forces is better than that under the same torque. The proposed generalized model provides a reference for the design of spatial compliant mechanisms. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/15397734.2023.2252508 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 5350 Subjects: – SubjectFull: Flexure Type: general – SubjectFull: Hinges Type: general – SubjectFull: Rotational motion Type: general – SubjectFull: Lateral loads Type: general – SubjectFull: Compliant mechanisms Type: general – SubjectFull: Virtual work Type: general – SubjectFull: Torsional load Type: general Titles: – TitleFull: Generalized model and performance analysis of two-axis flexure hinges based on quadratic rational Bézier curve. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wang, Xuewen – PersonEntity: Name: NameFull: Yu, Yang – PersonEntity: Name: NameFull: Xu, Zhenbang – PersonEntity: Name: NameFull: Xu, Anpeng – PersonEntity: Name: NameFull: Qin, Chao IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: 2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 15397734 Numbering: – Type: volume Value: 52 – Type: issue Value: 8 Titles: – TitleFull: Mechanics Based Design of Structures & Machines Type: main |
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