Concepedia

The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system

Cristiano Viana Serra Villa, Jean-Jacques Sinou, Fabrice Thouverez

European Journal of Mechanics - A/Solids · 2005 · 28 citations · 23 references

Open access

Concepts

EngineeringMechanical EngineeringSystems EngineeringDynamical SystemsSystem DynamicsVibrationInvariant ManifoldsNonlinear ControlNonlinear DynamicsNonlinear Structural DynamicsRotor DynamicsRotordynamicsBearing DynamicsBifurcations Of Invariant ManifoldsInvariant Manifold TheoremsInvariant Manifolds In Partial Differential EquationsNonlinear Rotor DynamicsRotordynamic InstabilitySmoothness Of Invariant Manifolds

References

23

Applied nonlinear dynamics: analytical, computational, and experimental methods

Choice Reviews Online · 1995 · 1.2K citations

Engineering, Mechanical Engineering, Systems Engineering +15

Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Jack D. Cowan · Mathematical Biosciences · 1986 · 1.1K citations

Natural Sciences, Mathematics, Physics +16

Normal Modes for Non-Linear Vibratory Systems

Steven W. Shaw, Christophe Pierre · Journal of Sound and Vibration · 1993 · 637 citations · Full text

Engineering, Mathematics, Dynamical Systems +13

An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

Timothy Cameron, J. H. Griffin · Journal of Applied Mechanics · 1989 · 603 citations

Engineering, Computational Engineering, Computational Mechanics +16

The Normal Modes of Nonlinear n-Degree-of-Freedom Systems

R. M. Rosenberg · Journal of Applied Mechanics · 1962 · 372 citations · Full text

Natural Sciences, Mathematics, Physics +17