Parametrically excited stability of a periodically stiffened beam under axial periodic excitation
Journal
Journal of Physics: Conference Series
Journal Volume
1303
Journal Issue
1
Start Page
012015
ISSN
17426588
17426596
ISBN (of the container)
9788394593742
9781628905861
Date Issued
2019
Author(s)
Abstract
The parametrically excited stability of a periodically stiffened beam under general periodic axial excitation is studied and the effect of periodic stiffeners on the beam stability is considered for the first time. The partial differential equation of motion of the beam with periodic stiffeners under axial excitation is given. The Galerkin method is used to convert the partial differential equation into ordinary differential equations with periodic time-varying parameters. The direct eigenvalue analysis method based on the Fourier expansion and generalized eigenvalue analysis is applied to solve the parametrically excited stability problem of the stiffened beam. A simply supported beam with periodic stiffeners under periodic axial excitation is considered for numerical investigation. The parametrically excited stability of the stiffened beam and the effects of stiffeners and excitation on the stability are illustrated by numerical results on unstable regions.
Event(s)
2nd International Conference on Mechanical, Electric and Industrial Engineering, MEIE 2019.
Subjects
Eigenvalues And Eigenfunctions
Equations Of Motion
Galerkin Methods
Ordinary Differential Equations
Partial Differential Equations
Eigenvalue Analysis
Fourier Expansion
Generalized Eigenvalues
Numerical Investigations
Numerical Results
Periodic Excitations
Simply Supported Beams
Stability Problem
Stability
Publisher
Institute of Physics Publishing helen.craven@iop.org
Description
2nd International Conference on Mechanical, Electric and Industrial Engineering, MEIE 2019. Hangzhou. Conference code: 151627
Type
conference paper