Free vibration analysis of stiffened panels with lumped mass and stiffness attachments

2016 ◽  
Vol 124 ◽  
pp. 84-93 ◽  
Author(s):  
Dae Seung Cho ◽  
Byung Hee Kim ◽  
Jin-Hyeong Kim ◽  
Tae Muk Choi ◽  
Nikola Vladimir
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Lumped Mass ◽  
Stiffened Panels

scholarly journals Simplified Procedure For The Free Vibration Analysis Of Rectangular Plate Structures With Holes And Stiffeners

2015 ◽  
Vol 22 (2) ◽  
pp. 71-78 ◽  
Author(s):  
Dae Seung Cho ◽  
Nikola Vladimir ◽  
Tae Muk Choi
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Plate Thickness ◽  
Design Procedure ◽  
Free Vibration Analysis ◽  
Beam Theory ◽  
System Matrix ◽  
Stiffened Panels ◽  
Assumed Mode Method ◽  
Finite Element Software

Abstract Thin and thick plates, plates with holes, stiffened panels and stiffened panels with holes are primary structural members in almost all fields of engineering: civil, mechanical, aerospace, naval, ocean etc. In this paper, a simple and efficient procedure for the free vibration analysis of such elements is presented. It is based on the assumed mode method and can handle different plate thickness, various shapes and sizes of holes, different framing sizes and types as well as different combinations of boundary conditions. Natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange’s equations. Mindlin theory is applied for a plate and Timoshenko beam theory for stiffeners. The applicability of the method in the design procedure is illustrated with several numerical examples obtained by the in-house developed code VAPS. Very good agreement with standard commercial finite element software is achieved.

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