and Applied Mechanics
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Steady state vibration of the periodically forced and damped pure nonlinear two-degrees-of-freedom oscillator
Cveticanin L., 2015, A solution procedure based on the Ateb function for a two-degree-of-freedom oscillator, Journal of Sound and Vibration, 346, 298-313.
Cveticanin L., Zukovic M., 2017, Negative effective mass in acoustic metamaterial with nonlinear mass-in-mass subsystems. Communications in Nonlinear Science and Numerical Simulation, 51, 89-104.
Cveticanin L., 2018a, Pure nonlinear oscillator, in Strong Nonlinear Oscillators, Mathematical Engineering, Springer, 9783319588254, 17-49.
Cveticanin L., 2018b, Free vibrations, in Strong Nonlinear Oscillators, Mathematical Engineering, Springer, 9783319588254, 51-117.
Hsu C., 1960, On the application of elliptic functions in non-linear forced oscillations, Quarterly of Applied Mathematics, 17, 393-407.
Ibrahim A., Jaber N., Chandran A., Thirupathi, M., Younis M., 2017, Dynamics of microbeams under multi-frequewncy excitations, Micromachines MDPI, 32, 8, 1-14.
Ilyas S., Ramini A., Arevalo A., Younis M.I., 2015, An experimental and theoretical investigation of a micromirror under mixed-frequency excitation, Journal of Microelectromechanical Systems, 24, 1124-1131.
Jaber N., Ramini A., Hennawi Q., Younis, M.I., Wideband M.I., 2016a, MEMS resonator using multifrequency excitation, Sensors and Actuators A: Physical, 242, 140-145.
Jaber N., Ramini A., Hennawi Q., Younis, 2016b, Multifrequency excitation of a clamped-clamped microbeam: Analytical and experimental investigation, Microsystems and Nanoengineering, 2, 16002.
Jang T.S., Baek H., Choi H.S., Lee S.G., 2011, A new method for measuring nonharmonic periodic excitation forces in nonlinear damped systems, Mechanical Systems and Signal Processing, 25, 2219-2228.
Jiang Y., Zhu H., Li Z., Peng Z., 2016, The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration, Nonlinear Dynamics, 84, 203-222.
Kovacic I., Zukovic M., 2017, Coupled purely nonlinear oscillators: normal modes and exact solutions for free and forced resonances. Nonlinear Dynamics, 87, 713-726.
Rakaric Z., Kovacic I., Cartmell M., 2017, On the design of external excitations in order to make nonlinear oscillators respond as free oscillators of the same or different type, International Journal of Non-Linear Mechanics, 94, 323-333.
Ramini A., Ibrahim A.I., Younis M.I., 2016, Mixed frequency excitation of an electrostatically actuated resonator, Microsystem Technologies, 22, 1967-1974.
Rosenberg R.M., 1966, On non-linear vibration of systems with many degrees of freedom, Advances in Applied Mechanics, 9, 155-242
Vakakis A.F., Blanchard A., 2018, Exact steady states of the periodically forced and damped Duffing oscillator, Journal of Sound and Vibration, 413, 57-65.
Wei S., Han Q., Peng Z., Chu F., 2016, Dynamic analysis of parametrically excited system under uncertainties and multi-frequency excitations, Mechanical Systems and Signal Processing, 72-73, 762-784.