Design and Analysis of Power-function-sine Flexure Hinges

In this study, a new type of power-function-sine flexure hinge is proposed. The calculation formula of compliance and rotation accuracy of the flexure hinge is derived by using Castigliano's second theorem. The finite element simulation analysis and theoretical value calculation of compliance a...

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Main Authors: Li Jiabiao, Zhao Yang, Wu Qingwen, Mu Deqiang, Liu Changru, Hu Jinxin
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2023-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.07.011
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author Li Jiabiao
Zhao Yang
Wu Qingwen
Mu Deqiang
Liu Changru
Hu Jinxin
author_facet Li Jiabiao
Zhao Yang
Wu Qingwen
Mu Deqiang
Liu Changru
Hu Jinxin
author_sort Li Jiabiao
collection DOAJ
description In this study, a new type of power-function-sine flexure hinge is proposed. The calculation formula of compliance and rotation accuracy of the flexure hinge is derived by using Castigliano's second theorem. The finite element simulation analysis and theoretical value calculation of compliance and rotation accuracy are carried out by taking different parameter values. The relative error is less than 10%, which verifies the correctness of the calculation formula. The influence of curve equation parameters of the flexure hinge on the performance of the flexure hinge is analyzed. The results show that the minimum thickness has the greatest influence on the performance of the flexure hinge. In addition, the ellipse and hyperbola are compared with the new hinge. The results show that the ellipse flexure hinge has the greatest compliance, but the rotation accuracy is the smallest; the hyperbolic flexure hinge has the highest rotation accuracy, but the lowest compliance. By introducing the compliance accuracy ratio <italic>β</italic>, through analysis and comparison, it is known that under the same <italic>L</italic> and the changing <italic>d</italic>, the value of the power function sine flexure hinge <italic>β</italic> is 2.68 times and 1.237 times higher than those of elliptical and hyperbola flexure hinges respectively. With the same flexure hinge diameter and the changing length, the value of the power function of sinusoidal flexure hinge <italic>β</italic> is 2.60 times and 1.18 times higher than that of elliptic and hyperbolic flexure hinges respectively. It shows that the power function sinusoidal flexure hinge has more advantages in comprehensive performance.
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spelling doaj.art-4dec7872e89641808b0a107de6b3c9412023-08-14T10:02:24ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392023-01-0147778340048453Design and Analysis of Power-function-sine Flexure HingesLi JiabiaoZhao YangWu QingwenMu DeqiangLiu ChangruHu JinxinIn this study, a new type of power-function-sine flexure hinge is proposed. The calculation formula of compliance and rotation accuracy of the flexure hinge is derived by using Castigliano's second theorem. The finite element simulation analysis and theoretical value calculation of compliance and rotation accuracy are carried out by taking different parameter values. The relative error is less than 10%, which verifies the correctness of the calculation formula. The influence of curve equation parameters of the flexure hinge on the performance of the flexure hinge is analyzed. The results show that the minimum thickness has the greatest influence on the performance of the flexure hinge. In addition, the ellipse and hyperbola are compared with the new hinge. The results show that the ellipse flexure hinge has the greatest compliance, but the rotation accuracy is the smallest; the hyperbolic flexure hinge has the highest rotation accuracy, but the lowest compliance. By introducing the compliance accuracy ratio <italic>β</italic>, through analysis and comparison, it is known that under the same <italic>L</italic> and the changing <italic>d</italic>, the value of the power function sine flexure hinge <italic>β</italic> is 2.68 times and 1.237 times higher than those of elliptical and hyperbola flexure hinges respectively. With the same flexure hinge diameter and the changing length, the value of the power function of sinusoidal flexure hinge <italic>β</italic> is 2.60 times and 1.18 times higher than that of elliptic and hyperbolic flexure hinges respectively. It shows that the power function sinusoidal flexure hinge has more advantages in comprehensive performance.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.07.011Flexure hinge;Power-function-sine;Compliance;Rotation accuracy;Finite element analysis
spellingShingle Li Jiabiao
Zhao Yang
Wu Qingwen
Mu Deqiang
Liu Changru
Hu Jinxin
Design and Analysis of Power-function-sine Flexure Hinges
Jixie chuandong
Flexure hinge;Power-function-sine;Compliance;Rotation accuracy;Finite element analysis
title Design and Analysis of Power-function-sine Flexure Hinges
title_full Design and Analysis of Power-function-sine Flexure Hinges
title_fullStr Design and Analysis of Power-function-sine Flexure Hinges
title_full_unstemmed Design and Analysis of Power-function-sine Flexure Hinges
title_short Design and Analysis of Power-function-sine Flexure Hinges
title_sort design and analysis of power function sine flexure hinges
topic Flexure hinge;Power-function-sine;Compliance;Rotation accuracy;Finite element analysis
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.07.011
work_keys_str_mv AT lijiabiao designandanalysisofpowerfunctionsineflexurehinges
AT zhaoyang designandanalysisofpowerfunctionsineflexurehinges
AT wuqingwen designandanalysisofpowerfunctionsineflexurehinges
AT mudeqiang designandanalysisofpowerfunctionsineflexurehinges
AT liuchangru designandanalysisofpowerfunctionsineflexurehinges
AT hujinxin designandanalysisofpowerfunctionsineflexurehinges