scholarly journals Free Vibration Analysis of Thin-Walled Structures by Finite Node-Strip Method.

1996 ◽  
pp. 141-148
Author(s):  
Masa Hayashi ◽  
Chikara Watanabe
2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
G. Giunta ◽  
S. Belouettar

This paper addresses a free vibration analysis of thin-walled isotropic beams via higher-order refined theories. The unknown kinematic variables are approximated along the beam cross section as aN-order polynomial expansion, whereNis a free parameter of the formulation. The governing equations are derived via the dynamic version of the Principle of Virtual Displacements and are written in a unified form in terms of a “fundamental nucleus.” This latter does not depend upon order of expansion of the theory over the cross section. Analyses are carried out through a closed form, Navier-type solution. Simply supported, slender, and short beams are investigated. Besides “classical” modes (such as bending and torsion), several higher modes are investigated. Results are assessed toward three-dimensional finite element solutions. The numerical investigation shows that the proposed Unified Formulation yields accurate results as long as the appropriate approximation order is considered. The accuracy of the solution depends upon the geometrical parameters of the beam.


2020 ◽  
Vol 157 ◽  
pp. 107125
Author(s):  
A. Borković ◽  
G. Radenković ◽  
D. Majstorović ◽  
S. Milovanović ◽  
D. Milašinović ◽  
...  

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