.... A multiple time-scales perturbation method is used to construct formal asymptotic approximations of the solutions, and it is shown how different oscillation modes are damped. beams (structures) damping initial value problems perturbation theory springs (mechanical) vibrations To obtain...

... to the selection of the nonlinear tuning parameter, so long as it is close to the tautochronic value. 24 06 2010 14 12 2010 09 09 2011 21 09 2011 centrifuges pendulums perturbation theory rollers (machinery) rotation rotors suspensions (mechanical components) torsion vibrations...

... oscillators was proposed in 2007 ( 2 ). nonlinear acoustics oscillators perturbation theory variational techniques 2011 American Society of Mechanical Engineers ...

... 04 2010 acoustic dispersion acoustic wave propagation periodic structures perturbation theory nonlinear periodic structures perturbation analysis amplitude-dependent dispersion tunable acoustic devices In a linear periodic structure, there exists “propagation zones...

... (structures) cantilevers elastic constants perturbation theory Another way is to group neighboring elements together for the increasingly determined system equations in Eq. 11 . For instance, when every ten neighboring elements were grouped together, the estimated stiffness parameters of all...

... 01 2003 turbogenerators vibrations engines machine bearings space vehicles perturbation theory synchronous motors rotors rocket engines A significant volume of literature exists with respect to the impact of dead-band clearances on rotor response. Black 3 examined...

... Perturbation Theory (MRPT) is adopted to simultaneously determine the damage extent of all property matrices of undamped and proportionally damped structures. Note that the property matrices are the mass, stiffness and damping matrices. Illustrative examples are presented to show the performance...