Characteristics of Beam-Based Flexure Modules
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- 29 May 2006
- journal article
- Published by ASME International in Journal of Mechanical Design
- Vol. 129 (6), 625-639
- https://doi.org/10.1115/1.2717231
Abstract
The beam flexure is an important constraint element in flexure mechanism design. Nonlinearities arising from the force equilibrium conditions in a beam significantly affect its properties as a constraint element. Consequently, beam-based flexure mechanisms suffer from performance tradeoffs in terms of motion range, accuracy and stiffness, while benefiting from elastic averaging. This paper presents simple yet accurate approximations that capture the effects of load-stiffening and elastokinematic nonlinearities in beams. A general analytical framework is developed that enables a designer to parametrically predict the performance characteristics such as mobility, over-constraint, stiffness variation, and error motions, of beam-based flexure mechanisms without resorting to tedious numerical or computational methods. To illustrate their effectiveness, these approximations and analysis approach are used in deriving the force–displacement relationships of several important beam-based flexure constraint modules, and the results are validated using finite element analysis. Effects of variations in shape and geometry are also analytically quantified.Keywords
This publication has 9 references indexed in Scilit:
- Tilted folded-beam suspension for extending the stable travel range of comb-drive actuatorsJournal of Micromechanics and Microengineering, 2002
- Analytical and experimental characterisation of high-precision flexural pivots subjected to lateral loadsPrecision Engineering, 2002
- FlexuresPublished by Taylor & Francis ,2000
- Exact ConstraintPublished by ASME International ,1999
- Comb-drive actuators for large displacementsJournal of Micromechanics and Microengineering, 1996
- Numerical results from large deflection beam and frame problems analysed by means of elliptic integralsInternational Journal for Numerical Methods in Engineering, 1981
- Etude des déformations d’une lame de suspension élastiqueIl Nuovo Cimento (1869-1876), 1956
- The cross-spring pivot as a constructional elementFlow, Turbulence and Combustion, 1949
- Large deflection of cantilever beamsQuarterly of Applied Mathematics, 1945