Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33087
Mixed Frequency Excitation of an Electrostatically Actuated Resonator
Authors: Mixed Frequency Excitation of an Electrostatically Actuated Resonator
Abstract:
We investigate experimentally and theoretically the dynamics of a capacitive resonator under mixed frequency excitation of two AC harmonic signals. The resonator is composed of a proof mass suspended by two cantilever beams. Experimental measurements are conducted using a laser Doppler Vibrometer to reveal the interesting dynamics of the system when subjected to twosource excitation. A nonlinear single-degree-of-freedom model is used for the theoretical investigation. The results reveal combination resonances of additive and subtractive type, which are shown to be promising to increase the bandwidth of the resonator near primary resonance frequency. Our results also demonstrate the ability to shift the combination resonances to much lower or much higher frequency ranges. We also demonstrate the dynamic pull-in instability under mixed frequency excitation.Keywords: Nonlinear electrostatically actuated resonator.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1107349
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1618References:
[1] A. C. Wong and C. C Nguyen, "Micromechanical Mixer-Filters (“Mixlers”)," J. of Microelectromechanical Sys., vol. 13, no. 1, pp. 100- 112, Feb. 2004.
[2] I. Mahboob, E. Flurin, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, "Interconnect-Free Parallel Logic Circuits in a Single Mechanical Resonator," Nature Communications 2, Article number: 198 doi:10.1038/ncomms1201, Feb. 2011.
[3] I. Mahboob, V. Nier, K. Nishiguchi, K., A. Fujiwara, and H. Yamaguchi, "Multi-Mode Parametric Coupling in an Electromechanical Resonator," Appl. Phys. Lett., vol. 103, 153105, 2013.
[4] R. Garcia and E. T. Herruzo, "The Emergence of Multifrequency Force Microscopy," Nature nanotechnology, vol. 7, no. 4, pp. 217-226, 2012.
[5] D. Hecht, "Multifrequency Acoustooptic Diffraction," IEEE TRANS. ON Sonics and Ultrasonics, vol. SU-24, no. 1, 1977.
[6] A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations. New York: Wiley-Interscience, 1979, pp. 183–188.
[7] A. M. Elnagarand and A. F. EI-Bassiouny, "Response of Self-Excited Three-Degree-of-Freedom Systems to Multifrequency Excitations," Inter. J. of Theoretical Phys., vol. 31, no. 8, 1992.
[8] H. Yamaguchi, H. Okamoto, and I. Mahboob, "Coherent Control of Micro/Nanomechanical Oscillation Using Parametric Mode Mixing," Appl. Phys. Express, vol. 5, 014001, 2012.
[9] Marc D. Levenson, "Feasibility of Measuring the Nonlinear Index of Refraction by Third-Order Frequency Mixing," IEEE J. of Quantum Electronics, vol. 10, no. 2, pp. 110-115, Feb. 1974.
[10] R. Adair, L. L. Chase and S. A. Payne, "Nonlinear Refractive-Index Measurements of Glasses Using Three-Wave Frequency Mixing," JOSA B, vol. 4, no. 6, pp. 875-881, 1987.
[11] S. Santos, K. R. Gadelrab, V. Barcons, J. Font, M. Stefancich, and M. Chiesa, "The Additive Effect of Harmonics on Conservative and Dissipative Interactions," J. of Appl. Phys., vol. 112, no. 12, 124901, 2012.
[12] A. Erbe and R. H. Blick, "Silicon-on-Insulator Based Nanoresonators for Mechanical Mixing at Radio Frequencies," IEEE Trans. On Ultrasonics, Ferroelectrics and Frequency Control, vol. 49, no. 8, pp. 1114-1117, Aug, 2002.
[13] G. K. Fedder, "CMOS-MEMS Resonant Mixer-Filters," IEEE International Electron Devices Meeting, Washington, DC, Dec. 2005, pp. 274-277.
[14] F. Chen, J. Brotz, U. Arslan, C. C. Lo, T. Mukherjee, and G. K. Fedder, "CMOS-MEMS Resonant RF Mixer-Filters,” Tech. Dig. 18th IEEE Int. Conf. on Micro Electro Mechanical Systems (MEMS'05), Jan. 2005, pp. 24-7.
[15] M. I. Younis, MEMS Linear and Nonlinear Statics and Dynamics. Springer, 2011, Ch. 7.
[16] J. F. Roads, S. W. Shaw. K. L. Turner, "Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators," J. of Dyn. Systems Measurement, and Control, vol. 132, 2010, p. 14.
[17] I. Kozinsky, H. W. C. Postma, O. Kogan, A. Husain, and M. L. Roukes, "Basins of attraction of a nonlinear nanomechanical resonator," Physical Review Lett., vol. 99, no. 20, 2007, 207201.
[18] C. Stambaugh and H. B. Chan, "Noise-activated switching in a driven nonlinear micromechanical oscillator," Physical Review Lett., vol. 73, no. 17, 2006, pp. 172-302.
[19] V. Kumar, J. William Boley, Y. Yang, G. T.-C. Chiu, and J. F. Rhoads, "Modeling, Analysis, and Experimental Validation of a Bifurcation- Based Microsensor," J. of Microelectromechanical Sys., vol. 21, no. 3, 2012, pp. 549-558.
[20] A. H. Ramini, M. I. Younis, Q. Sue, "A Low-G Electrostatically Actuated Resonant Switch," Smart Mater. Struct., vol. 22, no. 22, 025006(13pp), Dec. 2013.
[21] F. Alsaleem, M. I. Younis, and L. Ruzziconi, "An Experimental and Theoretical Investigation of Dynamic Pull-in in MEMS Resonators Actuated Electrostatically," J. of Microelectromechanical Sys., vol. 19, no. 4, 2010, pp. 794 - 806.
[22] F. Alsaleem, M. I. Younis, and H. Ouakad, "On the Nonlinear Resonances and Dynamic Pull-in of Electrostatically Actuated Resonators," J. of Micromechanics and Microengineering, vol. 19, 2009, 045013.