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Forcing and damping terms are also included.
Forcing and damping terms are added into the equations.
Nonlinear damping terms are also included to cover both low- and high-speed applications.
In this work, we analyze the influence of degenerate damping terms and source terms on the solutions of problem (1.1).
The equations of motion include weak quadratic and cubic non-linearities in the stiffness, small "negative" linear damping terms, and small "positive" cubic damping terms.
Validation cases on beams and blades demonstrate the importance of all stiffness and damping terms.
Vibration isolators having non-linearity in both stiffness and damping terms are analyzed under harmonic excitations.
The results are compared with the other nonlinear damping terms previously studied in the literature.
Evaluated modal oscillators are solved using harmonic balance method and tackling damping terms introduced as an imaginary stiffness is discussed.
Results are presented for different levels of nonlinearity in both the stiffness and damping terms for a spring mass system.
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However, when the systems under study are not lightly damped, so that there are significant cross-damping terms in the governing equations, when there are closely spaced natural frequencies or when non-linearities exist, then the modal approach is extremely limited.
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