Optimized Trapezoidal Stiffened Plates under Uniaxial Compression with a Sudden, Rapidly Applied Pressure

Abstract

This paper is devoted to the forced vibration analysis of optimized trapezoidal stiffened plates with simple supported conditions on the four edges of the base plate. The purpose of the finite element analysis is to investigate the transient forced vibrations of stiffened structures subjected to uniaxial compression due to the reason of rapidly applied pressure over their base plates, thereby identifying potentially dangerous cases and minimizing the possibility of failure. 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 as static loadings. 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. The eigenvalue extraction is used to calculate the natural frequencies and mode shapes based on the Lanczos iteration method then the transient response is determined using the modal superposition method from the first few mode shapes. The welded structure is made of two grades of steel, which are described with different yield stress while all other material properties of steel remain the same.