Simulations and experiments of hardening and softening resonances in a clamped-clamped beam MEMS resonator

[1]  Rmc Rob Mestrom,et al.  Experimental validation of hardening and softening resonances in a clamped-clamped beam MEMS resonator , 2009 .

[2]  Zhili Hao,et al.  Vibration displacement on substrate due to time-harmonic stress sources from a micromechanical resonator , 2009 .

[3]  L. C. Shao,et al.  Study of the nonlinearities in micromechanical clamped–clamped beam resonators using stroboscopic SEM , 2008 .

[4]  Henk Nijmeijer,et al.  Modelling the dynamics of a MEMS resonator : simulations and experiments , 2008 .

[5]  S. Krylov Lyapunov exponents as a criterion for the dynamic pull-in instability of electrostatically actuated microstructures , 2007 .

[6]  J. Moehlis,et al.  Linear and Nonlinear Tuning of Parametrically Excited MEMS Oscillators , 2007, Journal of Microelectromechanical Systems.

[7]  C. Nguyen MEMS technology for timing and frequency control , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[8]  T. Kenny,et al.  Temperature Dependence of Quality Factor in MEMS Resonators , 2008, 19th IEEE International Conference on Micro Electro Mechanical Systems.

[9]  Kwan Kyu Park,et al.  Nonlinear Characterization of Electrostatic MEMS Resonators , 2006, 2006 IEEE International Frequency Control Symposium and Exposition.

[10]  S. Krylov,et al.  Stabilization of electrostatically actuated microstructures using parametric excitation , 2005 .

[11]  H. Seppa,et al.  Nonlinear limits for single-crystal silicon microresonators , 2004, Journal of Microelectromechanical Systems.

[12]  Jon Juel Thomsen,et al.  Vibrations and Stability , 2003 .

[13]  Ali H. Nayfeh,et al.  A reduced-order model for electrically actuated microbeam-based MEMS , 2003 .

[14]  M. Younis,et al.  A Study of the Nonlinear Response of a Resonant Microbeam to an Electric Actuation , 2003 .

[15]  L. Meirovitch,et al.  Fundamentals of Vibrations , 2000 .

[16]  M. Roukes,et al.  Thermoelastic damping in micro- and nanomechanical systems , 1999, cond-mat/9909271.

[17]  H. Benaroya,et al.  DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES , 1999 .

[18]  S. Senturia,et al.  M-TEST: A test chip for MEMS material property measurement using electrostatically actuated test structures , 1997 .

[19]  Thomas F. Fairgrieve,et al.  AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont) , 1997 .

[20]  Noel C. MacDonald,et al.  A micromachined, single-crystal silicon, tunable resonator , 1995 .

[21]  Miko Elwenspoek,et al.  Micro resonant force gauges , 1992 .

[22]  R. Howe,et al.  Micromechanical structures for thin film characterization , 1991, TRANSDUCERS '91: 1991 International Conference on Solid-State Sensors and Actuators. Digest of Technical Papers.

[23]  N. F. de Rooij,et al.  Resonant silicon structures , 1989 .

[24]  Miguel V. Andrés,et al.  Nonlinear vibrations and hysteresis of micromachined silicon resonators designed as frequency-out sensors , 1987 .

[25]  J. L. Nowinski,et al.  Theory of thermoelasticity with applications , 1978 .

[26]  T. Kaneko On Timoshenko's correction for shear in vibrating beams , 1975 .

[27]  J. H. Weiner,et al.  Theory of Thermal Stresses , 1961 .

[28]  C. Zener INTERNAL FRICTION IN SOLIDS II. GENERAL THEORY OF THERMOELASTIC INTERNAL FRICTION , 1938 .

[29]  C. Zener INTERNAL FRICTION IN SOLIDS. I. THEORY OF INTERNAL FRICTION IN REEDS , 1937 .

[30]  H. Nyquist Thermal Agitation of Electric Charge in Conductors , 1928 .

[31]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[32]  A. L. Kimball,et al.  Internal Friction in Solids , 1926, Transactions of the American Society of Mechanical Engineers.

[33]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .