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                                   Microhinges and Microcantilevers: Lumped-Parameter Modeling and Design

                              164   Chapter Three

                                  2.5

                                   2
                                length [mm]  1.5

                                   1

                                  0.5

                                   0
                                     0       5000    10000   15000    20000
                                                  frequency [Hz]
                              Figure 3.39 Microcantilever length in terms of bending resonant frequency.

                              discussion  of this topic  is included in the  presentation of  resonant
                              microbridge network, in Chap. 4.

                              References

                              1. J. M. Paros,  and L. Weisbord, How to  design flexure hinges,  Machine
                                 Design, November 1965, pp. 151–156.
                              2. T.  S. Smith,  V. G. Badami, J. S. Dale, and Y. Xu, Elliptical flexure
                                 hinges, Review of  Scientific Instruments, 68(3), 1997, pp. 1474–1483.
                              3. N. Lobontiu, J. S. N. Paine, E. Garcia, and M. Goldfarb, Corner-filleted
                                 flexure hinges,  ASME Journal of Mechanical Design, 123, 2001,
                                 pp. 346–352.
                              4. N. Lobontiu, Compliant Mechanisms: Design of Flexure Hinges, CRC Press,
                                 Boca Raton, Fla., 2002.
                              5. N.  Lobontiu, and E. Garcia,  Mechanics of Microelectromechanical
                                 Systems, Kluwer Academic Press, New York, 2004.
                              6. R. Raiteri, M. Grattarola, H.-J. Butt, and  P. Skladal, Micromechanical
                                 cantilever-based biosensors,  Sensors and  Actuators B, 79, 2001,
                                 pp. 115–126.
                              7. B. Ilic, D. Czaplewski, M. Zalatudinov, and H. G. Craighead, Single cell
                                 detection with micromechanical  oscillators,  Journal of  Vacuum Science
                                 Technology, 19(6), 2001, pp. 2825–2828.
                              8. M. Sato, B. E. Hubbard, A. J. Sieves, B. Ilic, D. A. Czaplewski, and H. G.
                                 Craighead, Observation of locked intrinsic localized vibrational modes in a
                                 micromechanical oscillator  array,  Physical Review Letters, 90(4), 2003,
                                 pp. 1–4.
                              9. B. Ilic, Y.  Yang, and H. G. Craighead,  Virus detection using
                                 nanoelectromechanical devices,  Applied Physics  Letters, 85(13), 2004,
                                 pp. 2604–2606.



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