[1] O’Connell, A.D., Hofheinz, M., Ansmann, M., Bialczak,R.C., Lenander, M., Lucero, E., Neeley, M., Sank, D., Wang, H., Weides, M., Wenner, J., Martinis, J.M., Cleland, A.N., Quantum ground state and single-phonon control of a mechanical resonator, Nature, 464, 2010, 697–703, DOI: 10.1038/nature08967.
[2] Burg, T.P., Godin, M., Knudsen, S.M., Shen, W., Carlson, G., Foster, J.S., Babcock, K., Manalis, S.R., Weighing of biomolecules, single cells and single nanoparticles in fluid, Nature, 446, 2007, 1066–1069, DOI: 10.1038/nature05741.
[3] Husale, S., Persson, H.H.J., Sahin, O., DNA nanomechanics allows direct digital detection of complementary DNA and microRNA targets, Nature, 462, 2009, 1075–1078, DOI: 10.1038/nature08626.
[4] Raman, A., Melcher, J., Tung, R., Cantilever dynamics in atomic force microscopy, Nano Today, 3(1−2), 2008, 20–27, DOI: 10.1016/S1748-0132(08)70012-4.
[5] Eom, K., Park, H. S., Yoon, D. S., Kwon, T., Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles, Physics Reports-Review Section of Physics Letters, 503 (4−5), 2011, 115–163, DOI: 10.1016/j.physrep.2011.03.002.
[6] Elnathan, R., Kwiat, M., Patolsky, F., Voelcker, N. H., Engineering vertically aligned semiconductor nanowire arrays for applications in the life sciences, Nano Today, 9(2), 2014, 172–196, DOI: 10.1016/j.nantod.2014.04.001.
[7] Stassi, S., Marini, M., Allione, M., Lopatin, S., Marson, D., Laurini, E., Pricl, S., Pirri, C. F., Ricciardi, C., Fabrizio, E. D., Nanomechanical DNA resonators for sensing and structural analysis of DNA-ligand complexes, Nature Communications, 10, 2019, 1–10, DOI: 10.1038/s41467-019-09612-0.
[8] Jaber, N., Hafiz, M. A. A., Kazmi, S. N. R., Hasan, M. H., Alsaleem, F., Ilyas, S., Younis, M. I., Efficient excitation of micro/nano resonators and their higher order modes, Scientific Reports, 9(319), 2019, DOI:10.1038/s41598-018-36482-1.
[9] SoltanRezaee, M., Bodaghi, M., Simulation of an electrically actuated cantilever as a novel biosensor, Scientific Reports, 10(3385), 2020, DOI: 10.1038/s41598-020-60296-9.
[10] Tavakolian, F., Farrokhabadi, A., SoltanRezaee, M., Rahmanian, S., Dynamic pull-in of thermal cantilever nanoswitches subjected to dispersion and axial forces using nonlocal elasticity theory, Microsystem Technologies, 25(3), 2019, 19–30, DOI: 10.1007/s00542-018-3926-y.
[11] He, J., Lilley, C. M., Surface stress effect on bending resonance of nanowires with different boundary conditions, Applied Physics Letters, 93, 2008, 263108, DOI: 10.1063/1.3050108.
[12] He, J., Lilley, C. M., Surface effect on the elastic behavior of static bending nanowires, Nano Letters, 8, 2008, 1798–1802, DOI: 10.1021/nl0733233.
[13] Wu, J. X., Li, X. F., Tang, A. Y., Lee, K. Y., Free and forced transverse vibration of nanowires with surface effects, Journal of Vibration and Control, 23, 2017, 2064–2077, DOI: 10.1177/1077546315610302.
[14] Wang, F., Abedini, A., Alghamdi, T., Onsorynezhad, S., Bimodal approach of a frequency-up-conversion piezoelectric energy harvester, International Journal of Structural Stability and Dynamics, 4, 2019, DOI:10.1142/S0219455419500901.
[15] Ilgamov, M. A., Flexural vibrations of a plate under changes in the mean pressure on its surfaces, Acoustical Physics, 64(5), 2018, 605–611, DOI: 10.1134/S1063771018050032.
[16] Ilgamov, M. A., Influence of surface effects on bending and buckling of nanowires, Doklady Physics, 64(9), 2019, 345–348, DOI: 10.1134/S1028335819090040.
[17] Ilgamov, M. A., The influence of surface effects on bending and vibrations of nanofilms, Physics of the Solid State, 61(10), 2019, 1825–1830, DOI: 10.1134/S1063783419100172.
[18] Morassi, A., Fernandez-Saez, J., Zaera, R., Loya, J.A., Resonator-based detection in nanorods, Mechanical Systems and Signal Processing, 93, 2017, 645–660, DOI: 10.1016/j.ymssp.2017.02.019.
[19] Dilena, M., Dell'Oste, M. F., Fernandez-Saez, J., Morassi, A., Zaera, R., Mass detection in nanobeams from bending resonant frequency shifts, Mechanical Systems and Signal Processing, 116, 2019, 261–276, DOI: 10.1016/j.ymssp.2018.06.022.
[20] Khakimov, A. G., Review of studies on the computational diagnosis of local defects of structural elements, Multiphase Systems, 14(1), 2019, 1–9, DOI: 10.21662/mfs2019.1.001.
[21] He, Q., Lilley, C. M., Resonant frequency analysis of Timoshenko nanowires with surface stress for different boundary conditions, Journal of Applied Physics, 112, 074322, 2012, DOI: 10.1063/1.4757593.
[22] Olsson, P. A., T., Park, H. S., Lidstrom, P. C., The influence of shearing and rotary inertia on the resonant properties of gold nanowires, Journal of Applied Physics, 108, 2010, 104312, DOI: 10.1063/1.3510584.
[23] Timoshenko, S. P., Young, D. H., Weaver, W., Vibration Problems in Engineering, John Wiley & Sons, New York, 1974.
[24] Rayleigh, J. W., The Theory of Sound, Macmillan and Company, London, 1894.
[25] Dowell, E. A., Ilgamov, M. A., Studies in Nonlinear Aeroelasticity, SV. N.Y., London, Tokyo, 1988.