Lijian Li and Dan Zhang


  1. [1] H. Wang and X.M. Zhang, Input coupling analysis and optimal design of a 3-DOF compliant micro-positioning stage, Mechanism and Machine Theory, 43(4), 2008, 400–410.
  2. [2] G.M. Chen, Y.K. Ma, and J.J. Li, A tensural displacement amplifier employing elliptic-arc flexure hinges, Sensors and Actuators A: Physical, 247, 2016, 307–315.
  3. [3] W. Dong, F.X. Chen, F.T. Gao, M. Yang, L.N. Sun, Z.J. Du, et al., Development and analysis of a bridge-lever-type displacement amplifier based on hybrid flexure hinges, Precision Engineering, 54, 2018, 171–181.
  4. [4] W.L. Zhu, Z.W. Zhu, P. Guo, and B.F. Ju, A novel hybrid actuation mechanism based XY nanopositioning stage with totally decoupled kinematics, Mechanical Systems and Signal Processing, 99, 2018, 747–759.
  5. [5] Y.M. Li and Q.S. Xu, A totally decoupled piezo-driven XYZ flexure parallel micropositioning stage for micro/ nanomanipulation, IEEE Transactions on Automation Science and Engineering, 8(2), 2011, 265–279.
  6. [6] J.C. Lee and S.H. Yang, Development of nanopositioning mechanism with real-time compensation algorithm to improve the positional accuracy of a linear stage, Precision Engineering, 50, 2017, 328–336.
  7. [7] D.H. Chao, G.H. Zong, and R. Liu, Design of a 6-DOF compliant manipulator based on serial-parallel architecture, Proceeding of the IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Monterey, CA, 2005, 765– 770.
  8. [8] S. Liu, J. Xu, and C. Wang, Synthesis and experiment of a novel parallel compliant mechanism with one translation and two rotations, Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 231(12), 2017, 2284–2290.
  9. [9] R.Z. Wang and X.M. Zhang, A planar 3-DOF nanopositioning platform with large magnification, Precision Engineering, 46, 2016, 221–231.
  10. [10] K.W. Chae, W.B. Kim, and Y.H. Jeong, A transparent polymeric flexure-hinge nanopositioner, actuated by a piezoelectric stack actuator, Nanotechnology, 22(33), 2011, 335501.
  11. [11] D. Kim, D. Kang, J. Shim, I. Song, and D. Gweon, Optimal design of a flexure hinge-based XYZ atomic force microscopy scanner for minimizing Abbe errors, Review of Scientific Instruments, 76(7), 2005, 073706.
  12. [12] H. Banerjee, Z.T.H. Tse, and H.L. Ren, Soft robotics with compliance and adaptation for biomedical applications and forthcoming challenges, International Journal of Robotics and Automation, 33(1), 2018, 69–80.
  13. [13] R. Mutlu, G. Alici, M.I.H. Panhuis, and G.M. Spinks, 3D printed flexure hinges for soft monolithic prosthetic fingers, Soft Robotics, 3(3), 2016, 120–133.
  14. [14] Z.W. Yu, Y. Shi, J.X. Xie, S.X. Yang, and Z.D. Dai, Design and analysis of a bionic adhesive foot for gecko robot climbing the ceiling, International Journal of Robotics and Automation, 33(4), 2018, 445–454.
  15. [15] H. Sun, N.Y. Wang, H. Jiang, and X.P. Chen, Flexible honeycomb PneuNets robot, International Journal of Robotics and Automation, 33(6), 2016, 475–483.
  16. [16] L. Cao, A.T. Dolovich, A. Chen, and W.J. Zhang, Topology optimization of efficient and strong hybrid compliant mechanisms using a mixed mesh of beams and flexure hinges with strength control, Mechanism and Machine Theory, 121, 2018, 213–227.
  17. [17] J.M. Paros and L. Weisbord, How to design flexure hinges, Machine Design, 37(27), 1965, 151–156.
  18. [18] S.T. Smith, V.G. Badami, J.S. Dale, and Y. Xu, Elliptical flexure hinges, Review of Scientific Instruments, 68(3), 1997, 1474–1483.
  19. [19] N. Lobontiu, M. Cullin, T. Petersen, J.A. Alcazar, and S. Noveanu, Planar compliances of symmetric notch flexure hinges: the right circularly corner-filleted parabolic design, IEEE Transactions on Automation Science and Engineering, 11(1), 2014, 169–176.
  20. [20] L.J. Li, D. Zhang, S. Guo, and H.B. Qu, Design, modeling, and analysis of hybrid flexure hinges, Mechanism and Machine Theory, 131, 2019, 300–316.
  21. [21] B. Zettl, W. Szyszkowski, and W.J. Zhang, Accurate low DOF modelling of a planar compliant mechanism with flexural hinges: The equivalent beam methodology, Precision Engineering, 29(2), 2005, 237–245.
  22. [22] B. Zettl, W. Szyszkowski, and W.J. Zhang, On systematic errors of two-dimensional finite element modeling of right circular planar flexure hinges, ASME Journal of Mechanical Design, 127(4), 2005, 782–787.
  23. [23] M. Liu, X.M. Zhang, and S. Fatikow, Design and analysis of a high-accuracy flexure hinge, Review of Scientific Instruments, 87(5), 2016, 055106.
  24. [24] Y.K. Yong, T.F. Lu, and D.C. Handley, Review of circular flexure hinge design equations and derivation of empirical formulations, Precision Engineering, 32(2), 2008, 63–70.
  25. [25] T.M. Li, J.L. Zhang, and Y. Jiang, Derivation of empirical compliance equations for circular flexure hinge considering the effect of stress concentration, International Journal of Precision Engineering and Manufacturing, 16(8), 2015, 1735–1743.
  26. [26] Y.D. Xu, J.T. Yao, and Y.S. Zhao, Internal forces analysis of the active overconstrained parallel manipulators, International Journal of Robotics and Automation, 30(5), 2015, 511–518.
  27. [27] C.M. Gosselin and D. Zhang, Stiffness analysis of parallel mechanisms using a lumped model, International Journal of Robotics and Automation, 17(1), 2002, 17–27.
  28. [28] L.P. Wang, J. Wu, T.M. Li, J.S. Wang, and G.Q. Gao, A study on the dynamic characteristics of the 2-DOF redundant parallel manipulator of a hybrid machine tool, International Journal of Robotics and Automation, 30(2), 2015, 184–191.
  29. [29] H.Y. Tang, D. Zhang, S. Guo, H.B. Qu, and G.Y. Huang, Kinematics analysis of a novel 2R1T parallel mechanism, International Journal of Robotics and Automation, 33(2), 2018, 1–14.
  30. [30] K.B. Choi and J.J. Lee, Static model for flexure-based compliant mechanism driven by piezo stacks, Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 222(4), 2008, 703–709.
  31. [31] S.P. Timoshenko and J.N. Goodier, Theory of Elasticity, 3rd ed. (New York: McGraw-Hill, 1970).
  32. [32] W.C. Yong and R.G. Budynas, Roark’s Formulas for Stress and Strain, 7th ed. (New York: McGraw Hill, 2002).
  33. [33] N. Lobontiu, E. Garcia, and S. Canfield, Torsional stiffness of several variable rectangular cross-section flexure hinges for macro-scale and MEMS applications, Smart Materials and Structures, 13(1), 2004, 12–19.
  34. [34] N. Lobontiu and E. Garcia, Two-axis flexure hinges with axially-collocated and symmetric notches, Computers and Structures, 81(13), 2003, 1329–1341.
  35. [35] E.J. Hearn. Mechanics of Materials (Oxford: Pergamon Press, 1977).
  36. [36] G.M. Chen and L.L. Howell, Two general solutions of torsional compliance for variable rectangular cross-section hinges in compliant mechanisms, Precision Engineering, 33(3), 2009, 268–274.
  37. [37] N. Lobontiu, Compliant Mechanisms: Design of Flexure Hinges (Boca Raton: CRC Press, 2002).
  38. [38] Y. Dong, F. Gao, and Y. Yue, Modeling and prototype experiment of a six-DOF parallel micro-manipulator with nano-scale accuracy, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229(14), 2015, 2611–2625.
  39. [39] T.L. Wu, J.H. Chen, and S.H. Chang, A six-DOF prismatic-spherical-spherical parallel compliant nanopositioner, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 55(12), 2008, 2544–2551.
  40. [40] L.J. Li, D. Zhang, G. Sheng, and H.B. Qu, A generic compliance modeling method for two-axis elliptical-arc-filleted flexure hinges, Sensors, 17(9), 2017, 2154.
  41. [41] P.R. Ouyang, R.C. Tjiptoprodjo, W.J. Zhang, and G.S. Yang, Micro-motion devices technology: The state of arts review, The International Journal of Advanced Manufacturing Technology, 38(5–6), 2008, 463–478.

Important Links:

Go Back