Eventos Anais de eventos
DINAME 2017
XVII International Symposium on Dynamic Problems of Mechanics
Curvature effects on vibrational powerflow of smooth bent beams
Submission Author:
Paulo Victor Ribeiro Martins , SC
Co-Authors:
Paulo Victor Ribeiro Martins, Arcanjo Lenzi
Presenter: Paulo Victor Ribeiro Martins
doi://10.26678/ABCM.DINAME2017.DIN17-0122
Abstract
This paper will discuss a way to analyze curvature effects on the vibrational powerflow of slender beams. This needs a FEM model able to calculate transmitted and reflected power using the “propagating wave approach”. Previously, the same investigation was addressed with focus on the analytic formulation of curved beams and was programmed a FEM model using simple two-noded straight (Euler-Bernoulli) beam elements. However, the model was able to simulate in-plane vibrations only, with restrictions to high frequencies (lower than two wavelengths inside the curvature’s length). Hence, one shows a more generic and updated way to parametrize curvatures. A way to parametrize the curvature in 3D is discussed using quaternions and Cartesian coordinate system. Then, one compares results from updated FEM model and analytic approach as a form of validation. Also, is shown that FEM algorithm performs almost exactly like the analytic model, even at higher frequencies, which makes it suitable to simulate powerflow based on wave approach, and allows to test any type of curves configuration. Curvature effects for in- and out-of-plane vibrations are shown as well. Finally, this work introduces a tool for designing and optimizing slender pipes’ structures from a vibration control point of view.
Keywords
curvature, powerflow, quaternion, FEM, wave approach
