Anharmonic vibrations of a nano-sized oscillator with fractional damping

G.E. Drăgănescu1, L. Bereteu1, A. Ercuţa2, G. Luca1
1Department of Mechanics and Vibrations, Polytechnic University of Timisoara, Bd. M. Viteazu, No. 1, 300222 Timisoara, Romania
2Department of Physics, West University of Timisoara, Bd. V. Pârvan, No. 4, 300223 Timişoara, Romania

Tài liệu tham khảo

Cleland, 2003 Serry, 1998, The role of the Casimir effect in the static deflection and stiction of membrane strips in microelectromechanical systems MEMS, J Appl Phys, 84, 2501, 10.1063/1.368410 Buks, 2001, Stiction, adhesion energy, and the Casimir effect in micromechanical systems, Phys Rev B, 63, 33402, 10.1103/PhysRevB.63.033402 Ke, 2004, Feedback controlled nanocantilever device, Appl Phys Lett, 85, 681, 10.1063/1.1767606 Drăgănescu, 2003, Nonlinear relaxation phenomena in polycrystalline solids, Int J Nonlinear Sci Numer Simul, 4, 219, 10.1515/IJNSNS.2003.4.3.219 Liu, 2004, An introduction to computational nanomechanics and materials, Comput Methods Appl Mech Eng, 193, 1529, 10.1016/j.cma.2003.12.008 Oldham, 1974 Drăgănescu, 2006, Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives, J Math Phys, 47, 042105, 10.1063/1.2234273 Lavoie, 1976, Fractional derivatives and special functions, SIAM Rev, 18, 240, 10.1137/1018042 Seredynska, 2000, Nonlinear Hamiltonian equations with fractional damping, J Math Phys, 41, 2135, 10.1063/1.533231 Hanyga, 2002, Multi-dimensional solutions of time-fractional diffusion-wave equations, Proc Roy Soc Lond A, 458, 933, 10.1098/rspa.2001.0904 Adomian, 1988, A review of decomposition method in applied mathematics, J Math Anal Appl, 138, 501, 10.1016/0022-247X(88)90170-9 Morgante, 2002, Standing wave instabilities in a chain of nonlinear coupled oscillators, Physica D, 162, 53, 10.1016/S0167-2789(01)00378-5 Permann, 1994, Wavelet analysis of time series for the weakly forced and weakly damped Morse oscillator, J Chem Phys, 100, 379, 10.1063/1.466951 Drăgănescu, 1997, Molecular coherent states for a generalized Morse oscillator, Z Phys Chem, 200S, 51, 10.1524/zpch.1997.200.Part_1_2.051 Avram, 2000, Vibrational coherent states for Morse oscillator, J Opt B, B2, 214, 10.1088/1464-4266/2/2/326 Drăgănescu, 2004, Nonlinear vibrations of a nano-sized sensor with fractional damping, J Optoelectr Adv Mater, 7, 877 1964 Erdely A, Magnus W, Oberhettiger F, Tricomi F, editors. Edited by staff of the Bateman manuscript project. Tables of integral transforms, vol. 2. New York: McGraw-Hill; 1954.