By Shanmuganathan Rajasekar and Miguel A.F. Sanjuan

This introductory textual content offers the fundamental points and most crucial positive factors of varied kinds of resonances and anti-resonances in dynamical platforms. particularly, for every resonance, it covers the theoretical techniques, illustrates them with case reviews, and experiences the to be had info on mechanisms, characterization, numerical simulations, experimental realizations, attainable quantum analogues, purposes and important advances remodeled the years.

Resonances are essentially the most basic phenomena exhibited through nonlinear structures and discuss with particular realizations of extreme reaction of a approach as a result skill of that method to shop and move power bought from an exterior forcing resource. Resonances are of specific significance in actual, engineering and organic platforms - they could end up to be helpful in lots of purposes, whereas resulting in instability or even failures in others.

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Roukes, New J. Phys. 7, 247 (2005) 53. H. B. Shim, M. G. Khim, J. Kim, Appl. Phys. Lett. 97, 033116 (2010) 54. S. Zaitsev, O. Shtempluck, E. Buks, O. Gottlieb, Nonlinear Dyn. 67, 859 (2012) 55. M. I. M. Ouakad, J. Micromech. Microeng. 19, 045013 (2009) 56. A. Eichler, J. Moser, J. Chaste, M. W. Rae, A. Bachtold, Nat. Tech. 6, 339 (2011) 57. K. I. Lee, J. Appl. Phys. 114, 104303 (2013) 58. B. Jeong, H. F. F. M. A. Bergman, ACS Nano 7, 8547 (2013) 59. A. Ghosh, R. Vijaya, Pramana J. Phys. 83, 147 (2014) 38 1 Harmonic and Nonlinear Resonances 60.

Postma, I. Kozinsky, A. L. Roukes, Appl. Phys. Lett. 86, 223105 (2005) 76. D. Antonio, D. Zanette, D. Lopez, Nat. Commun. 3, 806 (2012) 77. C. Vedruccio, E. Mascia, V. Martines, Int. Rev. Armed Forces Medical Services 78, 120 (2005) 78. F. Peters, Transitions in Engineering: Guillaume Henri Dufour and the Early 19th Century Cable Suspension Bridge (Birkhauser, Basel, 1987) 79. K. Horvat, M. Miskovic, O. Kuljaca, Ind. Technol. 2, 881 (2006) 80. M. L. Leach, Quest. Math. 8, 241 (1985) 81. K. Chandrasekar, M.

02 ! 0 / are decoupled. With A21 D A01 , Eq. 36a) becomes a cubic equation for A01 . For the case of ! 0 t and a D A cos  and b D A sin  the result is A3 On the other hand, for ! 02 Eq. 38) Its roots are A21 D 0; That is, for ! 02 the only possible real value of A1 is zero and therefore, A2 D 2. 02 D 1, f D 0:1 and vary the frequency !. 0 /=f , Fig. 0 / on !. 0 / are plotted in this figure. / versus ! displays a typical resonance curve similar to that of a linear system. Both theoretical treatment and numerical simulation support the presence of both the frequencies !

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