Combination resonances in the response of the duffing oscillator to a three-frequency excitation

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

Natural Sciences, Physics, Differential Equations +8

A non-linear analysis of the interactions between parametric and external excitations

N. HaQuang, Dean T. Mook, Raymond H. Plaut · Journal of Sound and Vibration · 1987 · 42 citations

Natural Sciences, Mathematics, Physics +13

Non-linear structural vibrations under combined parametric and external excitations

N. HaQuang, Dean T. Mook, Raymond H. Plaut · Journal of Sound and Vibration · 1987 · 38 citations

Engineering, Mechanical Engineering, Physics +14

The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems

William F. Langford · Acta Mechanica Sinica · 1988 · 34 citations

Natural Sciences, Mathematics, Physics +14

The response of two-degree-of-freedom systems with quadratic and cubic non-linearities to multifrequency parametric excitations

Ali H. Nayfeh, A.E.S. Jebril · Journal of Sound and Vibration · 1987 · 26 citations

Engineering, Mechanical Engineering, Physics +15