Comparative Analysis of Parabolic and Hyperbolic Flexure Hinges Using Closed-Form Equations

Article Preview

Abstract:

The comparative analysis of a parabolic and hyperbolic flexible hinges were presented. The closed-form compliance equations in the working and non-working plane can be derived by using the Castigliano’s second theorem. In order to compare the relative performance of parabolic and hyperbolic flexure hinges, a ratio function between specific compliances of the two hinges is defined. We analyzed the non-dimensional ratios of working plane and non-working plane compliance to show the relative properties of parabolic versus hyperbolic flexure hinges. The analysis results has showed compared to a hyperbolic flexure, a parabolic flexure can produce more desired output and is slightly less sensitive to axial effects under identical loading conditions. Meanwhile, the comparative study on the parabolic and hyperbolic flexure hinges can provide a theoretical basis for choosing them.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 503-504)

Pages:

880-883

Citation:

Online since:

April 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Y. Tian, B. Shirinzadeh, D. Zhang: Closed-form compliance equations of filleted V-shaped hinges for compliant mechanism design. Precision Eng Vol. 34(2010), pp.408-418.

DOI: 10.1016/j.precisioneng.2009.10.002

Google Scholar

[2] T.S. Smith, V.G. Badami and J.S. Dale et al: Elliptical flexure hinges. Rev. Sci. Instrum Vol. 68(3) (1997), pp.1474-1483.

DOI: 10.1063/1.1147635

Google Scholar

[3] W. Xu, T.G. King: Flexure hinges for piezo-actuator displacement amplifiers: flexibility, accuracy and stress considerations. Precision Eng Vol. 19(1) (1996), pp.4-10.

DOI: 10.1016/0141-6359(95)00056-9

Google Scholar

[4] J.W. Ryu, D.G. Gweon: Error analysis of a flexure hinge mechanism induced by machining imperfection. Precision Eng Vol. 21 (1997), pp.83-89.

DOI: 10.1016/s0141-6359(97)00059-7

Google Scholar

[5] N. Lobontiu, J.S.N. Paine, E. Garcia et al.: Corner filleted flexure hinges. ASME Journal of Mechanical Design Vol. 123(2001), pp.346-352.

DOI: 10.1115/1.1372190

Google Scholar

[6] N. Lobontiu, J.S.N. Paine, E. Garcia et al.: Design of symmetric conic-section flexure hinges based on closed-form compliance equations. Mechanism and Machine Theory Vol. 37(2002), pp.477-498.

DOI: 10.1016/s0094-114x(02)00002-2

Google Scholar