Abstract
Bistable mechanisms are very appealing in the design of valves, switches and actuators. By utilizing the nonlinear magnetic structure and elastic cantilevers, a novel bistable mechanism was designed. Based on the magnetic charge model and material mechanics theory, the nonlinear force during the snap-through procedure was calculated accurately, which is in accordance with that obtained by the experiments. In addition, the bistable characteristics including the threshold snapping force, the traveling range, and stable positions can be adjusted by changing the structure parameters and the relative distance among the magnets. The dynamic analysis shows that the bistable structure has a good frequency distinguishing capacity for mechanical shock pulses.
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HOFFMANN M, KOPKA P, VOGES E. All-silicon bistable micromechanical fiber switch based on advanced bulk micromachining [J]. IEEE J Sel Top Quant, 1999, 5(1): 46–51.
KRUGLICK E J, PISTER S J. Bistable MEMS relays and contact characterization [C]// Proc IEEE Solid-State Sens Actuator Workshop. Hilton Head Island, South Carolia: IEEE Transducer Research Foundation Inc, 1998: 333–337.
JENSEN B D. Identification of macro- and micro-compliant mechanism configurations resulting in bistable behavior [D]. Provo: UT Brigham Young Univ, 1998.
MASTERS N D, HOWELL L L. A self-retracting fully compliant bistable micromechanism [J]. J Microelectromech Syst, 2003, 12(3): 273–280.
HOWELL L L, RAO S S, MIDHA A. The reliability-based optimal design of a bistable compliant mechanism [J]. ASME J Mech Des, 1994, 116(4): 1115–1121.
OPDAHL P G, JENSEN B D, HOWELL L L. An investigation into compliant bistable mechanisms [C]// Proc ASME Design Engineering Technical Conferences. Atlanta: ASME Conference, 1998: 1–10.
BAKER M S, HOWELL L L. On-chip actuation of an in-plane compliant bistable micro-mechanism [J]. J Microelectromech Syst, 2002, 11(5): 566–573.
HOWELL L L, MIDHA A. a method for the design of compliant mechanisms with small-length flexural pivots [J]. ASME J Mech Des, 1994, 116(1): 280–290.
HOWELL L L, MIDHA A. Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms [J]. ASME J Mech Des, 1995, 117(1): 156–165.
SAIF M T A. On a tunable bistable MEMS-Theory and experiment [J]. J Microelectromech Syst, 2000, 9(2): 157–170.
HALG B. On a micro-electro-mechanical nonvolatile memory cell [J]. IEEE Transactions on Electron Devices, 1990, 37(10): 172–176.
BUCHAILLOT L, MILLET O, QUEVY E, COLLARD D. Post-Buckling dynamic behavior of self-assembled 3D microstructures [J]. Microsyst Technol, 2007, 14(1): 69–78.
MICHAEL A, KWOK C Y. Buckling shape of elastically constrained multi-layered micro-bridges [J]. Sens Actuators A: Phys, 2007, 135(1): 870–880.
ZHAO Jian, JIA Jian-yuan, WANG Hong-xi. Post-buckling and snap-through behavior of inclined slender mirobeams [J]. Journal of Applied Mechannics Transactions of the ASME, 2008, 75(4): 201–207.
JENSEN B D, HOWELL L L. Bistable configurations of compliant mechanisms modeled using four links and translational joints [J]. Journal of Mechanical Design Transactions of the ASME, 2004, 126(4): 657–666.
TSAY J, SU L Q, SUNG C K. Design of a linear micro-feeding system featuring bistable mechanisms [J]. J Micromech Microeng, 2005, 14(1): 63–70.
TIMOSHENKO S P, GOODIER J N. Theory of elasticity [J]. 3rd ed. New York: McGraw Hill, 1970: 89–495.
YONNET J P, HEMMERLIN S. Analytical calculation of permanent magnet couplings [J]. IEEE Trans Magn, 1993, 29(6): 2932–2934.
AKOUN G, YONNET J. 3D analytical calculation of the forces exerted between two cuboidal magnets [J]. IEEE Trans Magn, 1984, 20(5): 1962–1964.
KAMPEN P V, WOLFFENBUTTEL R F. Modeling the mechanical behavior of bulk-micromachined silicon accelerometers [J]. Sens Actuators A: Phys, 1998, 64: 137–150.
GRIFFIN W S, RICHARDSON H H, YAMANAMI S. A study of fluid squeeze-film damping [J]. Trans ASME J Basic Eng, 1966: 451-456.
BAO M. Micromechanical transducers: Pressure sensors, accelerometers and gyroscopes [M]. New York: Elsevier, 2000: 10–25.
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Foundation item: Project(51105059) supported by the National Natural Science Foundation of China; Project(20100041120019) supported by the Doctoral Fund of Ministry of Education of China; Project(2011CB610304) supported by the National Basic Research Program of China; Project(60725415) supported by the National Natural Science Foundation of China for Distinguished Young Scholars; Project(201003665) supported by the Fundamental Research Funds for the Central Universities of China
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Zhao, J., Huang, Y., Yang, Yt. et al. Dynamics of a novel bistable mechanism with mechanical-magnetic coupled structure. J. Cent. South Univ. 19, 1853–1858 (2012). https://doi.org/10.1007/s11771-012-1219-7
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DOI: https://doi.org/10.1007/s11771-012-1219-7