Parametric investigation of vibration of stiffened structural steel plates using finite element analysis and grey relational analysis

Abstract

Thin plates with arbitrary shapes and stiffeners find wide usage in construction, aerospace, marine, etc. industries. In the present work a parametric investigation of thin structural steel plates has been carried out. The design parameters considered were the subtended angle and aspect ratio of plates to account for the different shapes of plates used for various applications. Another design parameter that was considered is the stiffener and its different orientation. The impact of varying parameters on the first five modal frequencies and in turn the stiffness was considered as the response. Finite element method (FEM) coupled with Taguchi’s L16 orthogonal array and grey relational analysis was used to maximize the first five natural frequencies simultaneously. The thin plate was subjected to modal analysis when all its sides are in simply supported boundary condition. The optimum combination of design variables predicted by grey relational analysis is a thin plate with 80° subtended angle, 1.75:1 aspect ratio and crossed stiffener orientation for simultaneous maximization of the frequencies. Analysis of variance revealed highest contribution of stiffener type which affects the first 5 natural frequencies simultaneously.

Structure Preserving Uncertainty Modelling and Robustness Analysis for Spatially Distributed Dissipative Dynamical Systems

“…3 Convex optimization problem (COP). 4 Nominal systems are the corresponding Γ. 5 A robust stability margin greater than 1 means that the system is robustly stable for all values of its modelled uncertainty.…”

“…Still, in order to represent the real system with sufficient accuracy, a relatively fine mesh (or grid) of finite elements needs to be used. It is tacitly assumed that finer discretizations lead to dynamical models with more accurate solutions (trajectories), which often is the case as noted in the literature [1][2][3][4].…”

Investigation of the mechanical properties of nanocomposites with multi-wall carbon nanotube reinforcement and carbon fiber/epoxy

“…Microstructural analysis highlighted TiC distribution, while Izod impact testing showcased enhanced properties for Al 8011 with 7% TiC content. Amrit et al (2022) examined how design factors like subtended angle, aspect ratio, and stiffener orientation affect the first five modal frequencies of thin steel plates used in construction, aerospace, and marine industries. Employing the finite element method and statistic analysis, the study determines that a specific combinationa thin plate with 80° subtended angle, 1.75:1 aspect ratio, and crossed stiffener orientationoptimizes the first five natural frequencies, emphasizing stiffener type as the dominant factor.…”