Abstract: Oscillations of weakly nonlinear autonomous multiple-degree-of-freedom dynamical systems are studied. The analysis includes nonlinear effects arising from the potential as well as the kinetic energies ...

Abstract: Steady-state vibrations of a class of nonlinear discrete systems with an arbitrary number of degrees of freedom are studied. The co-ordinates of the system are first transformed to the principal ...

Abstract: General two-degree-of-freedom dynamical systems with weak quadratic nonlinearities are studied. With the aid of an asymptotic method of analysis a classification of these systems is made and the ...

Abstract: Transient motions of nonlinear gyroscopic systems with large conserved momenta or with rotors with large angular velocities are studied by asymptotic methods of analysis. The general results are ...

Abstract: Postflutter behavior of nonlinear discrete dynamical systems having a combination of gyroscopic and circulatory forces are studied. The study leads to Hopf bifurcations. The method of analysis ...

Abstract: Three-dimensional motions of a two-segment articulated tube system carrying a fluid and having rotational symmetry about the vertical axis are examined for bifurcating periodic solutions. As the ...

Abstract: The equations of motion of the two-segment articulated tube system, discussed in Part 1, are analyzed for bifurcating periodic solutions near critical flow velocities. In addition to the flow ...

Abstract: Dynamical systems with quadratic nonlinearities and exhibiting internal resonance under periodic excitations are studied. Two types of transition from stable to unstable motions are shown to occur. ...

Abstract: Three-dimensional surface waves in a rectangular container subjected to vertical excitation are studied. The analysis includes the effects of surface tension, energy dissipation, and critical depth. ...