Free Vibration Analysis of Battened Beams

2014 ◽  
Vol 14 (07) ◽  
pp. 1450029
Author(s):  
Ji-Liang Li ◽  
Jian-Kang Chen
Keyword(s):  
Analytical Solution ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Vibration Modes ◽  
Beam Length ◽  
Deformation Effect ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Discrete Effect

This paper presents an analytical solution for the free vibration analysis of simply supported battened beams/columns. The free vibration frequencies are derived using the classical Hamilton's principle. Unlike most of the existing studies on this topic, the present approach considers not only the transverse shear deformation effect but also the discrete effect of battens on the dynamic characteristics of the beams. The present analytical solution is validated using the data obtained from the finite element analysis. The results show that the shear and discrete effects of battens have significant influence on the frequencies of battened beams, particularly for the beams that are short and the vibration modes that are in high-order. It is also shown that the frequency decreases with the increase of the beam length. The decrease is rather rapid for beams that are shorter than 5 m.

scholarly journals Investigation of Free Vibration Response of E-Glass/Epoxy Delaminated Composite Plates

2012 ◽  
Vol 21 (1) ◽  
pp. 096369351202100 ◽  
Author(s):  
Turan Ercopur ◽  
Binnur Goren Kiral
Keyword(s):  
Free Vibration ◽  
Natural Frequency ◽  
Epoxy Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Vibration Response ◽  
Mode Shapes ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Free Vibration Response

This paper deals with the finite element analysis of free vibration response of the delaminated composite plates. Free vibration analysis is performed by using ANSYS commercial software developing parametric input files. Natural frequency values and associated mode shapes of E-glass/epoxy composite delaminated plates are determined. Effects of delamination shape, dimension and location on the natural frequency and associated mode shapes are investigated and for the purpose of the observing the effect of the boundary conditions, cantilever and clamped-pinned delaminated composite plates are taken into consideration. Comparisons with the results in literature verify the validity of the developed models in this study. It is observed that the natural frequency decreases in the existence of the delamination and level of the decrease depends on the dimension, shape and location of the delamination.

scholarly journals Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ramazan-Ali Jafari-Talookolaei ◽  
Maryam Abedi
Keyword(s):  
Analytical Solution ◽  
Free Vibration ◽  
Variational Problem ◽  
Lagrange Multipliers ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Free Vibration Analysis ◽  
Mode Shapes ◽  
Timoshenko Beams ◽  
Method Of Lagrange Multipliers

This work presents a method to find the exact solutions for the free vibration analysis of a delaminated beam based on the Timoshenko type with different boundary conditions. The solutions are obtained by the method of Lagrange multipliers in which the free vibration problem is posed as a constrained variational problem. The Legendre orthogonal polynomials are used as the beam eigenfunctions. Natural frequencies and mode shapes of various Timoshenko beams are presented to demonstrate the efficiency of the methodology.

Sign in / Sign up

Export Citation Format

Share Document