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Fourier representation of geometrical imperfection for probabilistic buckling analysis Sukamdo, Pariatmono; Oktavia, Tuti; Muin, Resmi Bestari; Ontowirjo, Budianto; Ihsan, Mohammad; Sitompul, Sang Toga
SINERGI Vol 28, No 3 (2024)
Publisher : Universitas Mercu Buana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22441/sinergi.2024.3.003

Abstract

This research studies the first part of the failure of a compression member structure due to buckling. This unstable equilibrium collapse, exposes brittle failure which occurs suddenly and therefore should be avoided wherever possible. Unavoidable geometric imperfections due to structural fabrication, will weaken the structure against buckling. The behavior of bar under compression will be closely examined by taking a set of geometric imperfection data synthesized from previously available from the measurement of conical shells. Therefore, the two-dimensional surface imperfection is converted into several one-dimensional imperfection with some probability properties. In order to obtain a comparison tool for different type of imperfections, Fourier analysis is used to convert the imperfection into coefficients of trigonometric function. By examining the coefficients, geometric imperfection patterns introduced by a certain fabrication process are able to be identified. The study successfully demonstrates the applicability of Fourier analysis in representing inherent geometric imperfections as an initial step for conducting probabilistic buckling analysis. Fourier analysis has shown its capability to simultaneously characterize imperfections in two crucial parameters - the magnitude and configuration of the imperfection.
Analisis Tekuk Probabilistik Pada Batang Tekan dari Baja Ringan Oktavia, Tuti; Sukamdo, Pariatmono
Rekayasa Sipil Vol 13, No 2 (2024)
Publisher : Universitas Mercu Buana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22441/jrs.2024.v13.i2.06

Abstract

Lightweight steel profiles have relatively thin thickness dimensions with the ratio of the dimensions of the width of each profile element to the thickness is very large, making it prone to bending. In SNI 8399:2017, mentions tolerances for geometric imperfections Bow (bw) (in the perpendicular direction Z-Z),  Twist (h) (X-X direction), Camber, profiles C, Z, U. SNI 8399: 2017 has not been explained what kind of decrease in column strength against  these geometric imperfections. In this study, an analogy was made to the measurement of imperfections in the geometry of the decapitated cone plate  conducted by Pariatmono, 1994. In Pariatmono's research, data  from the circular axis was changed into a horizontal axis by taking several angles in a circle, in this study it was taken every 6º (60 data in one row) and used as data with probablistic behavior. Then from the 60 rods obtained, Fourier analysis was carried out to obtain geometric imperfection equations. From these 60 bars obtained each Fourier coefficient. Then the average is taken, averaging +10%, +20%, +30%, +40%, +50% and -10%, -20%, -30%, -40% and -50% of the standard deviation values. Of the 11 rods, a non-linear buckling analysis was carried out using ANSYS Workbench 2022 R1. The probabilistic compressive analysis of geometric imperfections conducted in this study has not been able to definitively provide a general idea of the limits of geometric imperfections.