| Autor: |
Ly HB; University of Transport Technology, Hanoi 100000, Vietnam. banglh@utt.edu.vn., Desceliers C; Laboratoire Modélisation et Simulation Multi Echelle, Université Paris-Est, MSME UMR 8208, 77420 Champs-sur-Marne, France. christophe.desceliers@u-pem.fr., Minh Le L; Faculty of Engineering, Vietnam National University of Agriculture, Gia Lam, Hanoi 100000, Vietnam. lmlu@vnua.edu.vn., Le TT; Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam. tienthinhle.vn@gmail.com., Thai Pham B; University of Transport Technology, Hanoi 100000, Vietnam. binhpt@utt.edu.vn., Nguyen-Ngoc L; University of Transport and Communications, Hanoi 100000, Vietnam. nguyenngoclong@utc.edu.vn., Doan VT; NTT Hi-Tech Institute, Nguyen Tat Thanh University, Ho Chi Minh City 700000, Vietnam. dvthuan@ntt.edu.vn., Le M; NTT Hi-Tech Institute, Nguyen Tat Thanh University, Ho Chi Minh City 700000, Vietnam. vuongminhle09@gmail.com. |
| Abstrakt: |
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 positive-definite 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 Newton-Raphson solver was developed. The finite element tool was validated by comparing the as-obtained critical buckling loads with those from Euler's formula at zero-fluctuation 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. |
