Abstract
A 3R1H Pseudo-Rigid-Body Model (PRBM) is proposed to simulate the flexible beam with an inflection point in compliant mechanisms. The characteristic radius factors of the PRBM are determined via optimization. The spring stiffness coefficients are obtained using a linear regression technique. The numerical simulation shows that both the tip locus and inflection point of the flexural beam with single inflection point can be simulated using the model proposed in this paper.
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References
Howell LL (2001) Compliant mechanisms. Wiley, New York
Saxena A, Ananthasuresh GK (2001) Topology synthesis of compliant mechanisms for nonlinear force-deflection and curved path specifications. J Mech Des 123(1):33–42
Holst GL, Teichert GH, Jensen BD (2011) Modeling and experiments of buckling modes and deflection of fixed-guided beams in compliant mechanisms. J Mech Des 133(5):623–635
Howell LL, Midha A (1995) Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms. J Mech Des 117(1):156–165
Howell LL, Midha A, Norton TW (1995) Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large-deflection compliant mechanisms. J Mech Des 118(1):126–131
Su HJ (2009) A pseudo rigid-body 3R model for determining large deflection of cantilever beams subject to tip loads. J Mech Rob 1(2):795–810
Yu YQ, Feng ZL, Xu QP (2012) A pseudo-rigid-body 2R model of flexural beam in compliant mechanisms. Mech Mach Theory 55(9):18–33
Yu YQ, Zhou P, Xu QP (2015) A new pseudo-rigid-body model of compliant mechanisms considering axial deflection of flexural beams. Mech Mach Sci 24:851–858
Yu YQ, Zhu SK, Xu QP, Zhou P (2016) A novel model of large deflection beams with combined end loads in compliant mechanisms. Precis Eng 43:395–405
Kimball C, Tsai LW (2002) Modeling of flexural beams subjected to arbitrary end loads. J Mech Des 124(2):223–235
Midha A, Bapat SG, Mavanthoor A, Chinta V (2012) Analysis of a fixed-guided compliant beam with an inflection point using the pseudo-rigid-body model (PRBM) concept. J Mech Rob 64(4):147–154
Hancock H (1958) Elliptic integrals. Dover, New York
Weisberg S (2005) Applied linear regression, 3rd edn. Wiley, New York
Acknowledgments
The financial support of this study was from the National Natural Science Foundation of China (Grant No. 51575006).
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Yu, YQ., Zhu, SK. (2018). 3R1H Pseudo-Rigid-Body Model for Compliant Mechanisms with Inflection Beams. In: Dede, M., Ä°tik, M., Lovasz, EC., Kiper, G. (eds) Mechanisms, Transmissions and Applications. IFToMM 2017. Mechanisms and Machine Science, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-60702-3_5
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DOI: https://doi.org/10.1007/978-3-319-60702-3_5
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