Nonlinear vibrations of piezoelectric microcantilevers for biologically-induced surface stress sensing

Thundat, 1994, Thermal and ambient-induced deflections of scanning force microscope cantilevers, Appl Phys Lett, 64, 2894, 10.1063/1.111407 Gimzewski, 1994, Observation of a chemical reaction using a micromechanical sensor, Chem Phys Lett, 217, 589, 10.1016/0009-2614(93)E1419-H Wachter, 1995, Micromechanical sensors for chemical and physical measurements, Rev Scient Instrum, 66, 3662, 10.1063/1.1145484 Lang, 1998, A chemical sensor based on a micromechanical cantilever array for the identification of gases and vapors, Appl Phys A, 66, S61, 10.1007/s003390051100 Chen, 1995, Adsorption-induced surface stress and its effects on resonance frequency of microcantilevers, J Appl Phys, 77, 3618, 10.1063/1.359562 Berger, 1996, Thermal analysis using a micromechanical calorimeter, Appl Phys Lett, 69, 40, 10.1063/1.118111 Oden, 1999, Viscous drag measurements utilizing microfabricated cantilevers, Appl Phys Lett, 68, 3814, 10.1063/1.116626 Weigert, 1996, Frequency shifts of cantilevers vibrating in various media, Appl Phys Lett, 69, 2834, 10.1063/1.117334 Baselt, 1996, Biosensor based on force microscope technology, J Vacuum Sci Technol B, 14, 789, 10.1116/1.588714 Berger, 1997, Surface stress in the self-assembly of alkanethiols on gold, Science, 276, 2021, 10.1126/science.276.5321.2021 McKendry, 2002, Multiple label-free biodetection and quantitative DNA-binding assays on a nanomechanical cantilever array, Proc Natl Acad Sci USA, 99, 9783, 10.1073/pnas.152330199 Yue, 2004, A 2-D microcantilever array for multiplexed biomolecular analysis, J Microelectromech Syst, 13, 290, 10.1109/JMEMS.2003.823216 Huber, 2006, Label free analysis of transcription factors using microcantilever arrays, Biosensors Bioelectron, 21, 1599, 10.1016/j.bios.2005.07.018 Gupta, 2004, Single virus particle mass detection using microresonators with nanoscale thickness, Appl Phys Lett, 84, 1976, 10.1063/1.1667011 Braun, 2005, Micromechanical mass sensors for biomolecular detection in a physiological environment, Phys Rev, 72, 031907 Gfeller, 2005, Rapid biosensor for detection of antibiotic-selective growth of Escherichia coli, Appl Environ Microbiol, 71, 2626, 10.1128/AEM.71.5.2626-2631.2005 Liu, 2003, Botulinum toxin Type B micromechanosensor, Proc Natl Acad Sci USA, 100, 13621, 10.1073/pnas.2233819100 Stoney, 1909, The tension of metallic films deposited by electrolysis, Proc Royal Soc London A, 82, 172, 10.1098/rspa.1909.0021 Ren, 2004, Influence of surface stress on frequency of microcantilever-based biosensors, Microsystem Technol, 10, 307, 10.1007/s00542-003-0329-4 Lu, 2001, Analysis of surface effects on mechanical properties of microcantilevers, Mater Phys Mech, 4, 51 Lu, 2005, Surface stress effects on the resonance properties of cantilever sensors, Phys Rev B, 72, 085405, 10.1103/PhysRevB.72.085405 McFarland, 2005, Influence of surface stress on the resonance behavior of microcantilevers, Appl Phys Lett, 87, 053505, 10.1063/1.2006212 Gurjar M, Afshari M, Jalili N. Frequency regulation of self-sensing microcantilevers for biological spices detection, In: International workshop on nanomechanical sensors, Copenhagen, Denmark, May 7–10; 2006. Afshari M, Jalili N. Modeling molecular interactions arising from adsorbed biological species on the microcantilever biosensor surface. In: Proceedings of 2006 ASME international mechanical engineering congress and exposition, Chicago (IL, USA); November 5–10, 2006. Afshari M, Jalili N. Towards nonlinear modeling of molecular interactions arising from adsorbed biological species on the microcantilever biosensor surface, Int J Non-Linear Mech, in press. doi:10.1016/j.ijnonlinmec.2007.01.014. Dadfarnia, 2004, An observer-based piezoelectric control of flexible Cartesian robot arms: theory and experiment, Contr Eng Pract, 12, 1041, 10.1016/j.conengprac.2003.09.003 Narita, 2005, Analytical and experimental study of nonlinear bending response and domain wall motion in piezoelectric laminated actuators under ac electric fields, Acta Mater, 53, 4523, 10.1016/j.actamat.2005.05.044 Florin, 1994, Atomic force microscope with magnetic force modulation, Rev Sci Instrum, 65, 639, 10.1063/1.1145130 Grigorov, 2004, A longitudinal thermal actuation principle for mass detection using a resonant microcantilever in a fluid medium, Microelectr Eng, 881, 10.1016/S0167-9317(04)00238-2 Datskos, 1999, Detection of 2-mercaptoethanol using gold-coated micromachined cantilevers, Sensors Actuat B, 61, 75, 10.1016/S0925-4005(99)00251-8 Porter, 2001, Sensor based on piezoresistive microcantilever technology, Sensor Actuator A, 88, 47, 10.1016/S0924-4247(00)00498-2 Zurn, 2001, Fabrication and structural characterization of a resonant frequency PZT microcantilever, Smart Mater Struct, 10, 252, 10.1088/0964-1726/10/2/310 Mahmoodi SN, Jalili N, An experimental and theoretical investigation of nonlinear vibrations of piezoelectrically-driven microcantilevers, In: Proceedings of 2006 ASME international mechanical engineering congress & exposition, Chicago (IL); November 5–10, 2006. Britton, 2000, Multiple-input microcantilever sensors, Ultramicroscopy, 82, 17, 10.1016/S0304-3991(99)00155-2 Hsieh, 1994, Normal modes for large amplitude vibration of A cantilever beam, Int J Solids Struct, 31, 1981, 10.1016/0020-7683(94)90203-8 Dadfarnia, 2004, A Lyapunov-based piezoelectric controller for flexible cartesian robot manipulators, ASME J Dynam Systems, Measur Contr, 126, 347, 10.1115/1.1767854 Preumont, 1997 Dareing, 2005, Simulation of adsorption-induced stress of a microcantilever sensor, J Appl Phys, 97, 043526, 10.1063/1.1853496 Rappe, 1992, UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations, J Am Chem Soc, 114, 10024, 10.1021/ja00051a040 Grutter P, Godin M, Tabbard-Cosa V, Bourque H, Monga T, Nagai Y, et al. Cantilever-based sensing: origins of surface stress, In: International workshop on nanomechanical sensors, Copenhagen, Denmark; May 7–10, 2006. p. 36–7.