The equations of motion for a parametrically excited cantilever beam
References (6)
- et al.
Simultaneous combination resonances in an autoparametrically resonant system
Journal of Sound and Vibration
(1988) Simple models of complex vibrations
International Journal of Mechanical Engineering Education
(1985)- et al.
Simultaneous combination resonances in a parametrically excited cantilever beam
Strain
(1987)
There are more references available in the full text version of this article.
Cited by (31)
Primary and combined multi-frequency parametric resonances of a rotating thin-walled composite beam under harmonic base excitation
2022, Journal of Sound and VibrationCitation Excerpt :Bolotin’s method was applied to obtain the instability regions studying the effects of taper configurations and mean rotational velocity and laminate stacking sequences on the dynamic characteristics of the structure. Problem of oscillating but not rotating slender beam subjected to parametric excitations was studied by Cartmell and Roberts [19] and Cartmell [20]. A vertical isotropic thin cantilever beam with a lumped tip mass in a nonlinear formulation was investigated accounting for coupled lateral twisting and bending deformations.
Damping by parametric excitation in a set of reduced-order cracked rotor systems
2015, Journal of Sound and VibrationAnalytical and experimental investigations of an autoparametric beam structure
2008, Journal of Sound and VibrationNonlinear dynamics of elastic rods using the Cosserat theory: Modelling and simulation
2008, International Journal of Solids and StructuresContribution to experimental validation of linear and non-linear dynamic models for representing rotor-blade parametric coupled vibrations
2004, Journal of Sound and VibrationOn the derivation of the equations of motion for a parametrically excited cantilever beam
2001, Journal of Sound and Vibration
Copyright © 1990 Published by Elsevier Ltd.