Date of Online Publication: 02/11/2010
Keywords: Existence results, beam vibration, damping, hybrid model.
Abstract: We consider the solvability of a hybrid model for the vibration of a vertical
slender structure mounted on an elastic seating. The slender structure is modeled as a
Rayleigh beam and gravity is taken into account. The seating and foundation block are
modeled as rigid bodies connected by elastic springs with damping mechanisms. We show
how an existence result for a general linear vibration problem in variational form may be
applied to the weak variational problem for this system.