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Abstract

This investigation analyzed the influence of design variables (L, y, t, and x) of a new flexible hinge displacement amplification mechanism on (i) magnification ratio, (ii) maximum principal stress, and (iii) the first modal shape frequency. Besides, we proposed a grey relational analysis applied to the three parameters of the mechanism. To achieve the high working performance of the compliant mechanism, the motion scope works long term with high frequency and subjects to force tension with the torque. The finite element analysis (FEA) outcomes indicate that design variables have significantly affected the magnification ratio of the mechanism. The optimal outcomes of displacement, maximum principal stress, and the first modal shape frequency obtain at 0.6727 mm, 32.123 MPa, and 85.383 Hz, respectively while the predicted outcomes of displacement, maximum principal stress, and the first modal shape frequency achieve 0.7095 mm, 31.2077 MPa, and 82.6448 Hz. These results are in good agreement with the error of displacement, stress, and frequency with 5.19%, 1.92%, and 3.11%, respectively. The magnification ratio of the proposed mechanism obtained 67.27 times.

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References

  1. Min, K.S., Choi, W.C., Song, S.H., Hwang, E.J.: Static and dynamic analysis of a nanopositioning flexure-hinge stage with a flexible lever mechanism. Proc. Inst. Mech. Eng. Part B-J. Eng. Manuf. 219, 447–454 (2005)

    Article  Google Scholar 

  2. Vu, N.C., Huynh, N.T., Huang, S.C.: Optimization the first frequency modal shape of a tensural displacement amplifier employing flexure hinge by using Taguchi Method. J. Phys: Conf. Ser. 1303, 012016 (2019)

    Google Scholar 

  3. Wang, C.N., Truong, K.P., Huynh, N.T., Hoang, L.Q.: Nhat Optimization effects of design parameter on the first frequency modal of a Bridge-type compliant mechanism flexure hinge by using the Taguchi method. J. Phys. Conf. Ser. 1303, 012063 (2019)

    Google Scholar 

  4. Zhu, J.X., Hao, G.B.: Design and test of a compact compliant gripper using the Scott-Russell mechanism. Arch. Civ. Mech. Eng. 20, 27 (2020)

    Google Scholar 

  5. Tran, N.T., Chau, N.L., Dao, T.P.: A hybrid computational method of desirability, fuzzy logic, ANFIS, and LAPO algorithm for multiobjective optimization design of scott russell compliant mechanism. Math. Prob. Eng. 2020 (2020)

    Google Scholar 

  6. Yan, B., Liang, L.: A novel fiber bragg grating accelerometer based on parallel double flexible hinges. IEEE Sensors J. 20, 4713–4718 (2020)

    Google Scholar 

  7. Qi, K.-Q., Xiang, Y., Fang, C., Zhang, Y., Yu, C.-S.: Analysis of the displacement amplification ratio of bridge-type mechanism. Mech. Mach. Theory 87, 45–56 (2015)

    Article  Google Scholar 

  8. Liu, P., Yan, P.: A new model analysis approach for bridge-type amplifiers supporting nano-stage design. Mech. Mach. Theory 99, 176–188 (2016)

    Article  Google Scholar 

  9. Chau, N.L., Dao, T.P., Nguyen, V.T.T.: An efficient hybrid approach of finite element method, artificial neural network-based multiobjective genetic algorithm for computational optimization of a linear compliant mechanism of nanoindentation tester. Math. Prob. Eng. 2018 (2018)

    Google Scholar 

  10. Ovchinnikov, M.Y., Tkachev, S.S., Roldugin, D.S., Nuralieva, A.B, Mashtakov, Y.V.: Angular motion equations for a satellite with hinged flexible solar panel. Acta Astronautica, 128, 534–539 (2016)

    Google Scholar 

  11. Petkovic, D., Shamshirband, S., Iqbal, J., Anuar, N.B., Pavlovic, N.D., Kiah, L.: Adaptive neuro-fuzzy prediction of grasping object weight for passively compliant gripper. Appl. Soft Comput. 22, 424–431 (2014)

    Article  Google Scholar 

  12. Chau, N.L., Dao, T.P., Nguyen, V.T.T.: Optimal design of a dragonfly-inspired compliant joint for camera positioning system of nanoindentation tester based on a hybrid integration of Jaya-ANFIS. Math. Prob. Eng. 2018 (2018)

    Google Scholar 

  13. Choi, K.-B., Lee, J.J., Kim, G.H., Lim, H.J., Kwon, S.G.: Amplification ratio analysis of a bridge-type mechanical amplification mechanism based on a fully compliant model. Mech. Mach. Theory 121, 355–372 (2018)

    Article  Google Scholar 

  14. Huang, Y.C., Lee, C.Y., Chen, C.R.: Theoretical and experimental design of a new flexible hinged positioning stage. J. Chinese Soc. Mech. Eng. 33, 59–66 (2012)

    Google Scholar 

  15. Khan, S.A., Equbal, M., Islam, T.: A comprehensive comparative study of DGA based transformer fault diagnosis using fuzzy logic and ANFIS models. IEEE Trans. Dielectric. Electric. Insulation 22, 590–596 (2015)

    Article  CAS  Google Scholar 

  16. Rodriguez-Barroso, A., Saltaren, R., Portilla, G.A., Cely, J.S., Yakrangi, O.: Potential energy distribution of redundant cable-driven robot applied to compliant grippers: method and computational analysis. Sensors, 19 (2019)

    Google Scholar 

  17. Salmasnia, A., Kazemzadeh, R.B., Tabrizi, M.M.: A novel approach for optimization of correlated multiple responses based on desirability function and fuzzy logics. Neurocomputing 91, 56–66 (2012)

    Article  Google Scholar 

  18. Seidemann, V., Butefisch, S., Buttgenbach, S.: Fabrication and investigation of in-plane compliant SU8 structures for MEMS and their application to micro valves and micro grippers. Sens. Actuators A-Phys. 97–8, 457–461 (2002)

    Article  Google Scholar 

  19. Toyoda, T., Tin, O.F., Ito, K., Fujiwara, T., Kumasaka, T., Yamamoto, M., et al.: Crystal structure combined with genetic analysis of the Thermus thermophilus ribosome recycling factor shows that a flexible hinge may act as a functional switch. RNA 6, 1432–1444 (2000)

    Article  CAS  Google Scholar 

  20. Lai, L.-J., Zhu, Z.-N.: Design, modeling and testing of a novel flexure-based displacement amplification mechanism. Sens. Actuators A: Phys. 266, 122–129 (2017)

    Article  CAS  Google Scholar 

  21. Chen, G., Ma, Y., Li, J.: A tensural displacement amplifier employing elliptic-arc flexure hinges. Sens. Actuators A: Phys. 247, 307–315 (2016)

    Article  CAS  Google Scholar 

  22. Ngo, T.H, Tran, H.V, Nguyen, T.A., Dao, T.P., Wang, D.A.: Design and kinetostatic modeling of a compliant gripper for grasp and autonomous release of objects. Adv. Robot. 32, 717–735 (2018)

    Google Scholar 

  23. Hao, G.B., Li, H., Nayak, A., Caro, S.: Design of a compliant gripper with multimode jaws. J. Mech. Robot. Trans. ASME, 10 (2018)

    Google Scholar 

  24. Hao, G.B., Zhu, J.X.: Design of a monolithic double-slider based compliant gripper with large displacement and anti-buckling ability. Micromachines, 10 (2019)

    Google Scholar 

  25. Huynh, N.-T., Huang S.-C., Dao, T.-P.: Optimal displacement amplification ratio of bridge-type compliant mechanism flexure hinge using the Taguchi method with grey relational analysis. Microsystem Technol. (2018)

    Google Scholar 

  26. Huynh, N.-T., Huang, S.-C., Dao, T.-P.: Design variables optimization effects on acceleration and contact force of the double sliders-crank mechanism having multiple revolute clearance joints by use of the Taguchi method based on a grey relational analysis. Sādhanā, 45 (2020)

    Google Scholar 

  27. Wang, C.N., Truong, K.P., Huynh, N.T., Nguyen, H.: Optimization on effects of design parameter on displacement amplification ratio of 2 DOF working platform employing Bridge-type compliant mechanism flexure hinge using Taguchi method. J. Phys: Conf. Ser. 1303, 012053 (2019)

    Google Scholar 

  28. Huynh, N.-T., Hoang, V.H, Nguyen, H., Huang, S.C.: Analysis and optimal design a new flexible hinge displacement amplifier mechanism by using Finite element analysis based on Taguchi method. In: 2019 IEEE Eurasia Conference on IOT, Communication and Engineering (2020)

    Google Scholar 

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Correspondence to Quoc-Manh Nguyen .

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Huynh, NT., Nguyen, T.V.T., Tam, N.T., Nguyen, QM. (2021). Optimizing Magnification Ratio for the Flexible Hinge Displacement Amplifier Mechanism Design. In: Long, B.T., Kim, YH., Ishizaki, K., Toan, N.D., Parinov, I.A., Vu, N.P. (eds) Proceedings of the 2nd Annual International Conference on Material, Machines and Methods for Sustainable Development (MMMS2020). MMMS 2020. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-69610-8_102

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  • DOI: https://doi.org/10.1007/978-3-030-69610-8_102

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