Shape Optimization of Damaged Columns Subjected to Conservative and Non-Conservative Forces

Abstract

This paper deals with the development of a realistic shape optimization of damaged columns that are subjected to conservative and non-conservative forces, using the Genetic Algorithm (GA). The analysis is based on the design of the most optimized shape of the column under the constraint of constant weight, considering the Static, Vibrational, and Flutter characteristics. Under the action of conservative and non-conservative longitudinal forces, an elastic column loses its stability. A numerical analysis based on FEM has been performed on a uniform damaged column, to compute the fundamental buckling load, vibration frequency, and flutter load, under various end restraints. An optimization search based on the Genetic Algorithm is then executed, to find the optimal shape design of the column. The optimized column references the one having the highest buckling load, highest vibration frequency, and highest flutter load, among all the possible shapes of the column, for a given volume. A comparison is then made between the values obtained for the optimized damaged column, and those obtained for the optimized undamaged column. The comparison reveals that the incorporation of damage in the column alters its optimal shape to only a certain extent. Also, the critical load and frequency values for the optimized damaged column are comparatively low, compared with those obtained for the optimized undamaged column. However, these results hold true only for moderate-intensity damage cases. For high intensity damage, the optimal shape may not remain the same, and may vary, according to the severity of damage.

Elastic Buckling of Steel Columns Under Axial Compression

“…Earlier investigation on this issue was given in the study of Keller [35]. And then several studies were performed on this topic [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50].…”

Combine Shot Penning (SP) and Ultrasonic Impact Treatment (UIT) for Soil Corrosion Buckling Strength Enhancement of AA 2014-T4

“…Tables 7and (8) illustrate a comparison between the critical load (Pcr) of (Experimental, Perry, Rankine, and ANSYS) of the corroded samples before and after (SP+UIT) for the long and intermediate columns with and without safety factor.…”

“…Jatav and Datta, 2014 [8], studied the1column shape optimization which is subjected to1safe and unsafe loads. They1found that the unsafe loads1occurred at the column subjected to a1corrosion environment.…”

“…From tables (7) and (8), it is clear that soil corrosion negatively affects the ultimate1tensile strength (YTS) and1yield strength (YS), and this leads to reduce critical buckling load (Pcr) of the aluminum alloy specimens. This finding is in good1agreement with what was found1by Hussien J. M. Al-alkawi et al [19].…”

Asymptotic Analysis of the Static and Dynamic Buckling of a Column with Cubic - Quintic Nonlinearity Stressed by a Step Load

“…Of special note is the investigation by Belyav et al [8], who investigated the stability of transverse vibration of rod under longitudinal step -wise loading while Kripka and Martin [9] investigated cold -formed steel channel columns optimization with simulated annealing method. Similarly, Jatav and Datta [10] investigated shape optimization of damaged columns subjected to conservative and non -conservative forces while Artem and Aydin [11] studied exact solution and dynamic buckling analysis of beam -column loading.…”