Abstract
A mechanism with lumped-compliance can be constructed by mounting springs at joints of an inverted slider crank mechanism. Different mounting schemes bring change in the stiffness performance. In this paper, a unified stiffness model is developed for a comprehensive analysis of the stiffness performance for mechanisms constructed with different spring mounting schemes. With the model, stiffness behaviors of spring-loaded inverted slider crank mechanisms are analyzed. Influences of each individual spring on the overall performance are characterized. The unified stiffness model allows designing mechanisms for a desired stiffness performance, such as constant-torque mechanism and variable stiffness mechanism, both being illustrated with a design example and experiments.
References
1.
Li
, M.
, and Cheng
, W.
, 2018
, “Design and Experimental Validation of a Large-Displacement Constant-Force Mechanism
,” ASME J. Mech. Robot.
, 10
(5
), p. 051007
. 10.1115/1.40404372.
Hou
, C.-W.
, and Lan
, C.-C.
, 2013
, “Functional Joint Mechanisms With Constant-Torque Outputs
,” Mech. Mach. Theory
, 62
, pp. 166
–181
. 10.1016/j.mechmachtheory.2012.12.0023.
Prakashah
, H. N.
, and Zhou
, H.
, 2016
, “Synthesis of Constant Torque Compliant Mechanisms
,” ASME J. Mech. Robot.
, 8
(6
), p. 064503
. 10.1115/1.40348854.
Li
, Z.
, and Bai
, S.
, 2019
, “A Novel Revolute Joint of Variable Stiffness With Reconfigurability
,” Mech. Mach. Theory
, 133
, pp. 720
–736
. 10.1016/j.mechmachtheory.2018.12.0115.
Awad
, M. I.
, Hussain
, I.
, Gan
, D.
, Az-zu’bi
, A.
, Stefanini
, C.
, Khalaf
, K.
, Zweiri
, Y.
, Taha
, T.
, Dias
, J.
, and Seneviratne
, L.
, 2018
, “Passive Discrete Variable Stiffness Joint (pDVSJ-II): Modeling, Design, Characterization, and Testing Toward Passive Haptic Interface
,” ASME J. Mech. Robot.
, 11
(1
), p. 011005
. 10.1115/1.40416406.
Xu
, Q.
, 2016
, “Design of a Large-Stroke Bistable Mechanism for the Application in Constant-Force Micropositioning Stage
,” ASME J. Mech. Robot.
, 9
(1
), p. 011006
. 10.1115/1.40352207.
Hao
, G.
, 2018
, “A Framework of Designing Compliant Mechanisms With Nonlinear Stiffness Characteristics
,” Microsystem Technol.
, 24
(4
), pp. 1795
–1802
. 10.1007/s00542-017-3538-y8.
Zhou
, L.
, and Bai
, S.
, 2015
, “A New Approach to Design of a Lightweight Anthropomorphic Arm for Service Applications
,” ASME J. Mech. Robot.
, 7
(3
), p. 031001
. 10.1115/1.40282929.
Christensen
, S.
, and Bai
, S.
, 2018
, “Kinematic Analysis and Design of a Novel Shoulder Exoskeleton Using a Double Parallelogram Linkage
,” ASME J. Mech. Robot.
, 10
(4
), p. 041008
. 10.1115/1.404013210.
Shaw
, A.
, Neild
, S.
, and Wagg
, D.
, 2013
, “Dynamic Analysis of High Static Low Dynamic Stiffness Vibration Isolation Mounts
,” J. Sound Vib.
, 332
(6
), pp. 1437
–1455
. 10.1016/j.jsv.2012.10.03611.
Ibrahim
, R.
, 2008
, “Recent Advances in Nonlinear Passive Vibration Isolators
,” J. Sound Vib.
, 314
(3
), pp. 371
–452
. 10.1016/j.jsv.2008.01.01412.
Austin
, J.
, Schepelmann
, A.
, and Geyer
, H.
, 2015
, “Control and Evaluation of Series Elastic Actuators with Nonlinear Rubber Springs
,” IEEE/RSJ International Conference on Intelligent Robots and Systems
, Hamburg, Germany
, Sep. 28–Oct. 2
, pp. 6563
–6568
.13.
Park
, J.-J.
, Lee
, Y.-J.
, Song
, J.-B.
, and Kim
, H.-S.
, 2008
, “Safe Joint Mechanism Based on Nonlinear Stiffness for Safe Human-Robot Collision
,” IEEE International Conference on Robotics and Automation
, Pasadena, CA
, May 19–23
, pp. 2177
–2182
.14.
Wu
, T.-M.
, Wang
, S.-Y.
, and Chen
, D.-Z.
, 2011
, “Design of An Exoskeleton for Strengthening the Upper Limb Muscle for Overextension Injury Prevention
,” Mech. Mach. Theory
, 46
(12
), pp. 1825
–1839
. 10.1016/j.mechmachtheory.2011.08.00315.
Arakelian
, V.
, and Ghazaryan
, S.
, 2008
, “Improvement of Balancing Accuracy of Robotic Systems: Application to Leg Orthosis for Rehabilitation Devices
,” Mech. Mach. Theory
, 43
(5
), pp. 565
–575
. 10.1016/j.mechmachtheory.2007.05.00216.
Liu
, Z.
, Niu
, F.
, Gao
, H.
, Yu
, H.
, Ding
, L.
, Li
, N.
, and Deng
, Z.
, 2018
, “Design, Analysis, and Experimental Validation of An Active Constant-Force System Based on a Low-stiffness Mechanism
,” Mech. Mach. Theory
, 130
, pp. 1
–26
. 10.1016/j.mechmachtheory.2018.07.01917.
Jensen
, B. D.
, and Howell
, L. L.
, 2004
, “Bistable Configurations of Compliant Mechanisms Modeled Using Four Links and Translational Joints
,” ASME J. Mech. Design
, 126
(4
), pp. 657
–666
. 10.1115/1.176077618.
Sun
, X.
, Xu
, J.
, Wang
, F.
, and Zhang
, S.
, 2018
, “A Novel Isolation Structure With Flexible Joints for Impact and Ultralow-frequency Excitations
,” Int. J. Mech. Sci.
, 146–147
, pp. 366
–376
. 10.1016/j.ijmecsci.2018.08.00919.
Pham
, M. T.
, Yeo
, S. H.
, Teo
, T. J.
, Wang
, P.
, and Nai
, M. L. S.
, 2019
, “Design and Optimization of a Three Degrees-of-Freedom Spatial Motion Compliant Parallel Mechanism With Fully Decoupled Motion Characteristics
,” ASME J. Mech. Robot.
, 11
(5
), p. 051010
. 10.1115/1.404392520.
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
. 10.1177/1045389X1244494021.
dos Santos
, W. M.
, Caurin
, G. A.
, and Siqueira
, A. A.
, 2017
, “Design and Control of An Active Knee Orthosis Driven by a Rotary Series Elastic Actuator
,” Control Eng. Pract.
, 58
, pp. 307
–318
. 10.1016/j.conengprac.2015.09.00822.
Hao
, G.
, Mullins
, J.
, and Cronin
, K.
, 2017
, “Simplified Modelling and Development of a Bi-directionally Adjustable Constant-Force Compliant Gripper
,” Proc. IMechE. Part C: J. Mech. Eng. Sci.
, 231
(11
), pp. 2110
–2123
. 10.1177/095440621662855723.
Yang
, Z.-W.
, and Lan
, C.-C.
, 2015
, “An Adjustable Gravity-Balancing Mechanism Using Planar Extension and Compression Springs
,” Mech. Mach. Theory
, 92
, pp. 314
–329
. 10.1016/j.mechmachtheory.2015.05.00624.
Howell
, L. L.
, and Midha
, A.
, 1994
, “A Method for the Design of Compliant Mechanisms With Small-Length Flexural Pivots
,” ASME. J. Mech. Design
, 116
(1
), pp. 280
–290
. 10.1115/1.291935925.
Howell
, L. L.
, and Midha
, A.
, 1996
, “Evaluation of Equivalent Spring Stiffness for Use in a Pseudo-Rigid-Body Model of Large-Deflection Compliant Mechanisms
,” ASME. J. Mech. Design
, 118
(1
), pp. 126
–131
. 10.1115/1.282684326.
Li
, Z.
, Chen
, W.
, and Bai
, S.
, 2019
, “A Novel Reconfigurable Revolute Joint With Adjustable Stiffness
,” IEEE International Conference on Robotics and Automation
, Montreal, QC, Canada
, May 20–24
, pp. 8388
–8393
.27.
Bacek
, T.
, Moltedo
, M.
, Rodriguez-Guerrero
, C.
, Geeroms
, J.
, Vanderborght
, B.
, and Lefeber
, D.
, 2018
, “Design and Evaluation of a Torque-Controllable Knee Joint Actuator With Adjustable Series Compliance and Parallel Elasticity
,” Mech. Mach. Theory
, 130
, pp. 71
–85
. 10.1016/j.mechmachtheory.2018.08.01428.
Han
, N.
, and Cao
, Q.
, 2016
, “Global Bifurcations of a Rotating Pendulum With Irrational Nonlinearity
,” Commun. Nonlinear Sci. Numer. Simulat.
, 36
, pp. 431
–445
. 10.1016/j.cnsns.2015.12.00929.
Li
, B.
, and Hao
, G.
, 2018
, “Nonlinear Behaviour Design Using the Kinematic Singularity of a General Type of Double-Slider Four-bar Linkage
,” Mech. Mach. Theory
, 129
, pp. 106
–130
. 10.1016/j.mechmachtheory.2018.07.01630.
Baker
, M. S.
, and Howell
, L. L.
, 2002
, “On-Chip Actuation of An In-plane Compliant Bistable Micromechanism
,” J. Microelectromech. Syst.
, 11
(5
), pp. 566
–573
. 10.1109/JMEMS.2002.80328431.
Wolf
, S.
, Grioli
, G.
, Eiberger
, O.
, Friedl
, W.
, Grebenstein
, M.
, Höppner
, H.
, Burdet
, E.
, Caldwell
, D. G.
, Carloni
, R.
, Catalano
, M. G.
, Lefeber
, D.
, Stramigioli
, S.
, Tsagarakis
, N.
, Van Damme
, M.
, Van Ham
, R.
, Vanderborght
, B.
, Visser
, L. C.
, Bicchi
, A.
, and Albu-Schaffer
, A.
, 2016
, “Variable Stiffness Actuators: Review on Design and Components
,” IEEE/ASME Trans. Mechatronics
, 21
(5
), pp. 2418
–2430
. 10.1109/TMECH.2015.250101932.
Owaki
, D.
, and Ishiguro
, A.
, 2006
, “Enhancing Stability of a Passive Dynamic Running Biped by Exploiting a Nonlinear Spring
,” IEEE/RSJ International Conference on Intelligent Robots and Systems
, Beijing, China
, Oct. 9–15
, pp. 4923
–4928
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