... equations [( 16 )] or for beam equations [( 17 )]. The main goal of applied mathematicians, mechanical and civil engineers, and physicists is to reduce the vibrations in these devices because they cause damage to the structure. beams (structures) damping initial value problems perturbation theory...

... 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 perturbation theory variational techniques Recently, considerable attention has been directed toward analytical solutions for nonlinear equations without possible small parameters. If there is no small parameter in the equation, the traditional perturbation methods cannot be applied...

... periodic structures perturbation theory nonlinear periodic structures perturbation analysis amplitude-dependent dispersion tunable acoustic devices In a linear periodic structure, there exists “propagation zones” in which waves with admissible frequencies propagate without decay...

... (structures) cantilevers elastic constants perturbation theory 05 06 2006 19 01 2007 2007 American Society of Mechanical Engineers ...

... 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...