Optimization Design of a Hyperbolic Flexure Hinge Based on its Closed-Form Equations

Article Preview

Abstract:

An optimization design method of a hyperbolic flexible hinge is presented in this paper. According to the structure feature and force exerted on the flexible hinge, the closed-form equations are formulated for compliances to characterize both the active rotation and all other in- and out-of-plane parasitic motions by using the Castigliano’s second theorem. Meanwhile, the accuracy equations of the hyperbolic flexure hinge are obtained using the Castigliano’s second theorem. The in-plane rotation angle of flexure hinge is optimization objective, and the constraints of optimization model are out-of-plane displacements and one described the accuracy of hinge, such that the optimization model can be established to meet performance requirements of flexure hinge. Based on the optimization model, the optimization designs of hyperbolic flexure hinge are performed to acquire its optimized structural parameters. And the optimization results have showed the optimization process can meet the design requirement.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

414-418

Citation:

Online since:

January 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M.N. Mohd Zibor, B. Shirinzadeh: Development of a high precision flexure based microgripper. Precision Eng Vol. 33 (2009), pp.362-370.

DOI: 10.1016/j.precisioneng.2008.10.003

Google Scholar

[2] Y. Tian, B. Shirinzadeh and D. Zhang: A flexure-based mechanism and control methodology for ultra-precision turning operation. Precision Eng Vol. 33(3) (2009), pp.160-166.

DOI: 10.1016/j.precisioneng.2008.05.001

Google Scholar

[3] Y. Tian, B. Shirinzadeh and D. Zhang et al.: Development and dynamic modeling of a flexure-based Scott-Russell mechanism for nano-manipulation. Mechanical Systems and Signal Processing Vol. 23(3) (2009), pp.957-978.

DOI: 10.1016/j.ymssp.2008.06.007

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

[7] 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