Abstract
This paper deals with the modal analysis of optimized trapezoidal stiffened plates with simple supported conditions on the four edges of the base plate. The main objective of the finite element analysis is to investigate the natural frequencies and mode shapes of some stiffened structures subjected to lateral pressure and uniaxial compression in order to identify any potentially dangerous frequencies and eliminate the failure possibilities. The natural frequencies and mode shapes are important parameters in the design of stiffened plates for dynamic loading conditions. In this study, the numerical analysis is performed for such a design of this kind of welded plates which have already been optimized for lateral pressure and uniaxial compression. The objective function of the optimization to be minimized performed with the Excel Solver program is the cost function which contains material and fabrication costs for Gas Metal Arc Welding (GMAW) welding technology. In this study, the eigenvalue extraction used to calculate the natural frequencies and mode shapes is based on the Lanczos iteration methods using the Abaqus software. The structure is made of two grades of steel, which are described with different yield stress while all other material properties of the steels in the isotropic elastic model remain the same. Drawing the conclusion from finite element analysis, this circumstance greatly affects the result.
Highlights
Welded stiffened plates are widely used in various load-carrying structures, e.g., ships, bridges, bunkers, tank roofs, offshore structures and vehicles
The optimal design variables are the thicknesses of the base plate and the stiffener and the number of ribs (φ − 1) which are limited in size
The numerical results of the FE analysis for natural frequencies are summarized in Table 2, which contains the first six natural frequencies from No 1 to No 6. in order to identify any potentially dangerous frequencies
Summary
Welded stiffened plates are widely used in various load-carrying structures, e.g., ships, bridges, bunkers, tank roofs, offshore structures and vehicles. They are subject to various loadings, e.g., compression, bending, shear or combined load. They can be stiffened in one or two directions with stiffeners of flat, L, box, trapezoidal or other shapes From these structural versions, we select here rectangular plates that are uniaxially compressed, laterally pressed and stiffened in the direction of the compressive load. Troina et al [4] developed an approach associating the Constructal Design Method [5] and Exhaustive Search technique, merged in a computational model, validated and applied with the scope to minimize the central deflections of these plates
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
