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Polish Maritime Research

SIMPLIFIED PROCEDURE FOR THE FREE VIBRATION ANALYSIS OF RECTANGULAR PLATE STRUCTURES WITH HOLES AND STIFFENERS

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.

Keywords:

energy approach, plate with hole, stiffened panel, thick plate, VAPS software, free vibration analysis

Details

Issue
Vol. 22 No. 2(86) (2015)
Section
Latest Articles
Published
10-07-2015
DOI:
https://doi.org/10.1515/pomr-2015-0019
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Open Access License

This journal provides immediate open access to its content under the Creative Commons BY 4.0 license. Authors who publish with this journal retain all copyrights and agree to the terms of the CC BY 4.0 license.

 

Authors

  • Dae Seung Cho

    Pusan National University
  • Nikola Vladimir

    University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture
  • Tae Muk Choi

    Createch Co. Ltd.

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