Compliant mechanisms find use in numerous applications in both microscale and macroscale devices. Most of the current compliant mechanisms base their behavior on beam flexures. Their range of motion is thus limited by the stresses developed upon deflection. Conversely, the proposed mechanism relies on elastically nonlinear components to achieve large deformations. These nonlinear elements are composite morphing double-helical structures that are able to extend and coil like springs, yet, with nonlinear stiffness characteristics. A mechanism consisting of such structures, assembled in a simple truss configuration, is explored. A variety of behaviors is unveiled that could be exploited to expand the design space of current compliant mechanisms. The type of behavior is found to depend on the initial geometry of the structural assembly, the lay-up, and other characteristics specific of the composite components.
Issue Section:
Research Papers
Keywords:
compliant mechanisms
References
1.
Hao
, G.
, Yu
, J.
, and Li
, H.
, 2016
, “A Brief Review on Nonlinear Modelling Methods and Applications of Compliant Mechanisms
,” Front. Mech. Eng.
, 11
(2
), pp. 119
–128
. 2.
Kim
, C. J.
, Kota
, S.
, and Moon
, Y.-M.
, 2006
, “An Instant Center Approach Toward the Conceptual Design of Compliant Mechanisms
,” ASME J. Mech. Des.
, 128
(3
), pp. 542
–550
. 3.
Hu
, Y. H.
, Lin
, K. H.
, Chang
, S. C.
, and Chang
, M.
, 2008
, “Design of a Compliant Micromechanism for Optical-Fiber Alignment
,” Key Eng. Mat.
, 381–382
, pp. 141
–144
. 4.
Sung
, E.
, Slocum
, A. H.
, Ma
, R.
, Bean
, J. F.
, and Culpepper
, M. L.
, 2011
, “Design of an Ankle Rehabilitation Device Using Compliant Mechanisms
,” ASME J. Med. Device
, 5
(1
), p. 011001
. 5.
Wilcox
, D. L.
, and Howell
, L. L.
, 2005
, “Fully Compliant Tensural Bistable Micromechanisms (FTBM)
,” IEEE J. Microelectromech. Syst.
, 14
(6
), pp. 1223
–1235
. 6.
Aten
, Q. T.
, Jensen
, B. D.
, Burnett
, S. H.
, and Howell
, L. L.
, 2014
, “A Self-Reconfiguring Metamorphic Nanoinjector for Injection Into Mouse Zygotes
,” Rev. Sci. Instrum.
, 85
(5
), p. 055005
. 7.
Nelson
, T. G.
, Lang
, R. J.
, Pehrson
, N. A.
, Magleby
, S. P.
, and Howell
, L. L.
, 2016
, “Facilitating Deployable Mechanisms and Structures via Developable Lamina Emergent Arrays
,” ASME J. Mech. Robot.
, 8
(3
), p. 031006
. 8.
Fowler
, R. M.
, Howell
, L. L.
, and Magleby
, S. P.
, 2011
, “Compliant Space Mechanisms: A New Frontier for Compliant Mechanisms
,” Mech. Sci.
, 2
(2
), pp. 205
–215
. 9.
Pellegrini
, S. P.
, Tolou
, N.
, Schenk
, M.
, and Herder
, J. L.
, 2013
, “Bistable Vibration Energy Harvesters: A Review
,” J. Intel. Mat. Syst. Str.
, 24
(11
), pp. 1303
–1312
. 10.
Shaw
, A. D.
, Neild
, S. A.
, Wagg
, D. J.
, Weaver
, P. M.
, and Carrella
, A.
, 2013
, “A Nonlinear Spring Mechanism Incorporating a Bistable Composite Plate for Vibration Isolation
,” J. Sound. Vib.
, 332
(24
), pp. 6265
–6275
. 11.
Rivlin
, B.
, and Elata
, D.
, 2012
, “Design of Nonlinear Springs for Attaining a Linear Response in gap-Closing Electrostatic Actuators
,” Int. J. Solids Struct.
, 49
(26
), pp. 3816
–3822
. 12.
Torrealba
, R. R.
, and Udelman
, S. B.
, 2016
, “Design of Cam Shape for Maximum Stiffness Variability on a Novel Compliant Actuator Using Differential Evolution
,” Mech. Mach. Theory
, 95
, pp. 114
–124
. 13.
Trease
, B. P.
, Moon
, Y.-M.
, and Kota
, S.
, 2005
, “Design of Large-Displacement Compliant Joints
,” ASME J. Mech. Des.
, 127
(4
), pp. 788
–798
. 14.
Lachenal
, X.
, Weaver
, P. M.
, and Daynes
, S.
, 2014
, “Influence of Transverse Curvature on the Stability of Pre-Stressed Helical Structures
,” Int. J. Solids Struct.
, 51
(13
), pp. 2479
–2490
. 15.
Lachenal
, X.
, Weaver
, P. M.
, and Daynes
, S.
, 2012
, “Multi-Stable Composite Twisting Structure for Morphing Applications
,” Proc. R Soc. A Math. Phys. Eng. Sci.
, 468
(2141
), p. 123051
. 16.
Fleck
, N. A.
, Deshpande
, V. S.
, and Ashby
, M. F.
, 2010
, “Micro-Architectured Materials: Past, Present and Future
,” Proc. R Soc. A Math. Phys. Eng. Sci.
, 466
(2121
), pp. 2495
–2516
. 17.
Vigliotti
, A.
, and Pasini
, D.
, 2012
, “Stiffness and Strength of Tridimensional Periodic Lattices
,” Comput. Methods Appl. Mech. Eng.
, 229–232
, pp. 27
–43
. 18.
Haghpanah
, B.
, Salari-Sharif
, L.
, Pourrajab
, P.
, Hopkins
, J.
, and Valdevit
, L.
, 2016
, “Multistable Shape-Reconfigurable Architected Materials
,” Adv. Mater.
, 28
(36
), pp. 7915
–7920
. 19.
Cappello
, L.
, Lachenal
, X.
, Pirrera
, A.
, Mattioni
, F.
, Weaver
, P. M.
, and Masia
, L.
, 2014
, “Design, Characterization and Stability Test of a Multistable Composite Compliant Actuator for Exoskeletons
,” 5th IEEE RAS/EMBS International Conference on Biomedical Robotics and Biomechatronics
, Sao Paulo, Brazil
, Aug. 12–15
, pp. 1051
–1056
.20.
Kollar
, L. P.
, and Springer
, G. S.
, 2003
, Mechanics of Composite Structures
, Cambridge University Press
, Cambridge, UK
.21.
Giomi
, L.
, and Mahadevan
, L.
, 2011
, “Multistability of Free Spontaneously-Curved Anisotropic Strips
,” Proc. R Soc. A Math. Phys. Eng. Sci.
, 468
(2138
), pp. 511
–530
. 22.
Aza
, C.
, Pirrera
, A.
, and Schenk
, M.
, 2018
, “Reconfigurable Trusses of Nonlinear Morphing Elements
,” ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2018)
, Quebec City, Quebec, Canada
, Aug. 26–29
, Paper No. DETC2018-85911.23.
Radaelli
, G.
, Gallego
, J. A.
, and Herder
, J. L.
, 2011
, “An Energy Approach to Static Balancing of Systems With Torsion Stiffness
,” ASME J. Mech. Des.
, 133
(9
), p. 091006
. 24.
Bazant
, Z. P.
, and Cedolin
, L.
, 2010
, Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories
, 3rd ed., World Scientific Publishing
, Singapore
.25.
Galishnikova
, V.
, Dunaiski
, P.
, and Pahl
, P. J.
, 2009
, Geometrically Nonlinear Analysis of Plane Trusses and Frames
, SUN MeDIA
, Stellenbosch, South Africa
.26.
Oh
, Y. S.
, and Kota
, S.
, 2009
, “Synthesis of Multistable Equilibrium Compliant Mechanisms Using Combinations of Bistable Mechanisms
,” ASME J. Mech. Des.
, 131
(2
), p. 021002
. 27.
Crisfield
, M. A.
, 1981
, “A Fast Incremental/Iterative Solution Procedure That Handles “Snap-Through”
,” Comput. Struct.
, 13
(1–3
), pp. 55
–62
. 28.
Reddy
, J. N.
, 2015
, An Introduction to Nonlinear Finite Element Analysis: With Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics
, 2nd ed., Oxford University Press
, Oxford
, UK.29.
Wagner
, W.
, and Wriggers
, P.
, 1988
, “A Simple Method for the Calculation of Postcritical Branches
,” Eng. Comput.
, 5
(2
), pp. 103
–109
. 30.
Wriggers
, P.
, and Simo
, J. C.
, 1990
, “A General Procedure for the Direct Computation of Turning and Bifurcation Points
,” Int. J. Numer. Meth. Eng.
, 30
(1
), pp. 155
–176
. 31.
Chen
, G.
, Aten
, Q. T.
, Zirbel
, S.
, Jensen
, B. D.
, and Howell
, L. L.
, 2010
, “A Tristable Mechanism Configuration Employing Orthogonal Compliant Mechanisms
,” ASME J. Mech. Rob.
, 2
(1
), p. 014501
. 32.
Radaelli
, G.
, and Herder
, J. L.
, 2016
, “A Monolithic Compliant Large-Range Gravity Balancer
,” Mech. Mach. Theory
, 102
, pp. 55
–67
. Copyright © 2019 by ASME
You do not currently have access to this content.
