Representative experimental and computational analysis of the initial resonant frequency of largely deformed cantilevered beams

This paper presents an investigation of the initial resonant vibration frequency of largely deformed cantilevered beams. This study is important because the vibration of beams with this level of deformation occurs from a position that differs significantly from the undistorted configuration. As the...

Full description

Saved in:
Bibliographic Details
Published in:International journal of solids and structures 2016-12, Vol.102-103, p.44-55
Main Authors: Wahrhaftig, Alexandre de Macêdo, da Fonseca Brasil, Reyolando Manoel Lopes Rebello
Format: Article
Language:English
Subjects:
Beams
Cantilever beams
Curved beams
Deformation
Experimental research
Experiments
Finite element analysis
Finite element method
Geometric stiffness
Geometry
Large deformation
Mathematical analysis
Nonlinear analysis
Resonant frequencies
Resonant vibration
Stiffness
Structural dynamics
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents an investigation of the initial resonant vibration frequency of largely deformed cantilevered beams. This study is important because the vibration of beams with this level of deformation occurs from a position that differs significantly from the undistorted configuration. As the deformation of the beam increases, the lateral force component acting tangentially to the beam's newly curved shape also increases, changing its stiffness and influencing the resonant frequency of the system. The experimental component of this study shows that as the deformation of the beam increased, the difference between the resonant frequencies of the straight and deformed beams increased with the length of the beam. However, this difference decreases and the frequency rises slightly, precisely indicating the moment in which the aforementioned lateral force component starts to influence the stiffness of the bending piece. A computer model was then prepared to obtain the resonant frequency of the beam using the finite element method to confirm the experimental results for two scenarios: considering the beam in its horizontal configuration, and considering the beam in its deformed configuration using nonlinear static analysis processing, which has been previously applied in other theoretical investigations of large displacements. The results of the second method demonstrated a favorable approximation of the experimental values. An analytical evaluation was also performed.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2016.10.018