Minimizing the Average Axis Drift of Double Cross-Axis Flexural Pivots
Keywords:Cross-axis flexural pivot, double cross-axis flexural pivot, chained beam constraint model, axis drift
A compliant revolute joint achieves its rotational DOF through the deflections of its flexible members, thus completely eliminates clearance and friction between connected parts. Various compliant revolute joints have been created using notch and leaf spring primitives, including but not limited to cross-axis flexural pivots, cartwheel flexures, and trapezoidal flexures. Although compliant joints offer superior operating characteristics, most of them undergo imprecise motion referred to as axis drift. By using the analog of the design of double parallel-guided mechanism for translation shift elimination, this work proposes a double cross-axis flexural pivot that connects two cross-axis flexural pivots to eliminate the axis drifts by each other. A kinetostatic model is developed, based on which a double cross-axis flexural pivot is modeled. Axis drift of the double cross-axis flexural pivot with different connection angles are discussed. The optimal connection angles for different rotation ranges are obtained. The design results are verified by those of a nonlinear finite element model.
HOWELL, L.L., MAGLEBY, S.P., OLSEN, B.M., Handbook of Compliant Mechanisms, John Wiley & Sons, 2013.
SMITH, S.T., Flexures: elements of elastic mechanisms, Crc Press, 2000.
FOLKERSMA, K.G.P., BOER, S.E., BROUWER, D.M., HERDER, J.L., SOEMERS, H.M.J.R., A 2-dof large stroke flexure based positioning mechanism, 4: 36th Mechanisms and Robotics Conference, Parts A and B of International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp. 221-228, 2012.
ZHAO, H., BI, S., YU, J., A novel compliant linear-motion mechanism based on parasitic motion compensation, Mechanism and Machine Theory, 50, pp. 15-28, 2012.
CHOI, YEONG-jun, SREENIVASAN, S.V., CHOI, B.J., Kinematic design of large displacement precision xy positioning stage by using cross strip flexure joints and over-constrained mechanism, Mechanism and Machine Theory, 43, 6, pp. 724-737, 2008.
GROSSARD, M., MARTIN, J., HUARD, B., Force-sensing actuator with a compliant flexure-type joint for a robotic manipulator, Actuators, 4, 4, pp. 281-300, 2015.
HENEIN, S., SPANOUDAKIS, P., DROZ, S., MYKLEBUST, L.I., ONILLON, E., Flexure pivot for aerospace mechanisms, In 10th European Space Mechanisms and Tribology Symposium, San Sebastian, Spain, pp. 285-288, Citeseer, 2003.
ZHAO, H., BI, S., Stiffness and stress characteristics of the generalized cross-spring pivot, Mechanism and Machine Theory, 45, 3, pp. 378-391, 2010.
ZHAO, H., BI, S., Accuracy characteristics of the generalized cross-spring pivot, Mechanism and Machine Theory, 45, 10, pp. 1434-1448, 2010.
LIU, L., BI, S., YANG, Q., WANG, Y., Design and experiment of generalized triple-cross-spring flexure pivots applied to the ultra-precision instruments, Review of Scientific Instruments, 85, 10, 105102, 2014.
BI, S., ZHAO, H, YU, J., Modeling of a Cartwheel Flexural Pivot, ASME Journal of Mechanical Design, 131, 6, 2009.
PEI, X., YU, J., ZONG, G., BI, S., HU, Y., A Novel Family of Leaf-Type Compliant Joints: Combination of Two Isosceles-Trapezoidal Flexural Pivots, ASME Journal of Mechanisms and Robotics, 1, 2, 2009.
PEI, X., YU, J., ZONG, G., BI, S., A Family of Butterfly Flexural Joints: Q-LITF Pivots, ASME Journal of Mechanical Design, 134, 12, 2012.
MERRIAM, E.G., LUND, J.M., HOWELL, L.L., Compound joints: Behavior and benefits of flexure arrays, Precision Engineering, 45, pp. 79-89, 2016.
JENSEN, B.D., HOWELL, L.L., The modeling of cross-axis flexural pivots, Mechanism and Machine Theory, 37, 5, pp. 461-476, 2002.
HOWELL, L.L., MIDHA, A., NORTON, T.W., Evaluation of Equivalent Spring Stiffness for Use in a Pseudo-Rigid-Body Model of Large-Deflection Compliant Mechanisms, ASME Journal of Mechanical Design, 118, 1, pp. 126-131, 1996.
WANG, Z., SUN, H., WANG, B., WANG, P., Adaptive pseudo-rigid-body model for generalized cross-spring pivots under combined loads, Advances in Mechanical Engineering, 12, 12, 1687814020966539, 2020.
ZHANG, A., CHEN, G., A Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Thin Beams in Compliant Mechanisms, ASME Journal of Mechanisms and Robotics, 5, 2, 2013.
ZHANG, A., CHEN, G., JIA, J., Large deflection modeling of cross-spring pivots based on comprehensive elliptic integral solution, Journal of Mechanical Engineering, 50, 11, pp. 80-85, 2014.
AWTAR, S., SLOCUM, A.H., SEVINCER, E., Characteristics of Beam-Based Flexure Modules, ASME Journal of Mechanical Design, 129, 6, pp. 625-639, 2006.
MA, F., CHEN, G., Modeling large planar deflections of flexible beams in compliant mechanisms using Chained Beam-Constraint-Model, ASME Journal of Mechanisms and Robotics, 8, 2, 2015.
BILANCIA, P., BAGGETTA, M., HAO, G., BERSELLI, G., A variable section beams based bi-bcm formulation for the kinetostatic analysis of cross-axis flexural pivots, International Journal of Mechanical Sciences, 205:106587, 2021.
HOPKINS, J.B., PANAS, R.M., Design of flexure-based precision transmission mechanisms using screw theory, Precision Engineering, 37, 2, pp. 299-307, 2013.
HOPKINS, J.B., CULPEPPER, M.L., Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (fact) c part i: Principles, Precision Engineering, 34, 2, pp. 259-270, 2010.
HOPKINS, J.B., CULPEPPER, M.L., Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (fact). part ii: Practice, Precision Engineering, 34, 2, pp. 271-278, 2010.
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