Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Mechanical Vibration of a Viscoelastic Cantilever Beam with Oscillating Base and Eccentric Tip Mass via Generalized Integral Transform Technique
Submission Author:
Gianfranco Stieven , RJ , Brazil
Co-Authors:
Gianfranco Stieven, Liviu NICU, Renato Machado Cotta, Carolina Palma Naveira Cotta
Presenter: Gianfranco Stieven
doi://10.26678/ABCM.DINAME2023.DIN2023-0173
Abstract
This work presents an analytical solution to a dynamic model where a homogeneous viscoelastic cantilever beam with an eccentric tip mass is excited by an oscillating base that translates and rotates, and external excitements. The solution is obtained by Generalized Integral Transform Technique (GITT), based on eigenfunctions expansion and an implicit filter. It was verified in forced and free vibration scenarios that internal damping can have an equal or greater influence on the vibratory dynamics of the system than external damping, depending on the geometric and mechanical characteristics of the system. The reduction of vibration irregularities in free vibration from the inclusion of internal damping is also commented on.
Keywords
Analytical Solution, Implicit Filter, Space-State Formulation, viscoelasticity
