Tên bài báo:
Quantification of Uncertainties on the Critical Buckling Load of Columns under Axial Compression with Uncertain Random Materials Tác giả:
 Lý Hải Bằng
 Tham gia cùng:

Phạm Thái Bình
 Tạp chí:
 Materials
 Năm xuất bản:
 2019
 Trang:
 Từ trang 1 đến trang 19
 Lĩnh vực:
 Kỹ thuật xây dựng công trình giao thông
 Phạm vi:
 Quốc tế
Tóm tắt:
This study is devoted to the modeling and simulation of uncertainties in the constitutive elastic properties of material constituting a circular column under axial compression. To this aim, a probabilistic model dedicated to the construction of positivedefinite random elasticity matrices was first used, involving two stochastic parameters: the mean value and a dispersion parameter. In order to compute the nonlinear effects between load and lateral deflection for the buckling problem of the column, a finite element framework combining a NewtonRaphson solver was developed. The finite element tool was validated by comparing the asobtained critical buckling loads with those from Euler’s formula at zerofluctuation of the elasticity matrix. Three levels of fluctuations of material uncertainties were then propagated through the validated finite element tool using the probabilistic method as a stochastic solver. Results showed that uncertain material properties considerably influenced the buckling behavior of columns under axial loading. The coefficient of variation of a critical buckling load over 500 realizations were 15.477%, 26.713% and 41.555% when applying dispersion parameters of 0.3, 0.5 and 0.7, respectively. The 95% confidence intervals of column buckling response were finally given. The methodology of modeling presented in this paper is a potential candidate for accounting material uncertainties with some instabilities of structural elements under compression.