1D Gaussian quadrature

1D integration

Integration on any straight line of length $L$ can be transformed into integration on the interval [-1, 1] by a simple transformation $\int_{z_{1}}^{z_{2}} f(z) dz = \int \limits_{-1}^{1} \frac{L}{2} f(\xi) d\xi$ Note that the equation for transformation reads $z = \frac{z_2 – z_1}{2} \xi + \frac{z_1 + z_2}{2}$ The integration on interval [-1,1] can be … Read more

Analysis of concrete-filled steel tubular columns under axial compression with consideration of residual stress and geometric imperfections

CFST cross-sections

Title in Vietnamese: Phân tích ứng xử cột ống thép nhồi bê tông chịu tải nén đúng tâm, có xét đến ứng suất dư và sự không hoàn hảo về hình học. Author: Nguyễn Thành Đạt Thesis defended in 06/2019, at Ho Chi Minh city University of Technology. In this thesis, extension of an available … Read more

Analysis of the composite concrete-corrugated steel slab

Concrete-steel slab

Title in Vietnamese: Phân tích ứng xử sàn liên hợp bê tông – thép lượt sóng. Author: Trần Văn Bé Thành Thesis defended in 09/2020, at Ho Chi Minh city University of Technology. In this thesis, a finite element model is developed to analyze the composite concrete-corrugated steel slabs, which is a structure widely used … Read more

Traveling salesperson problem

TSP_feature

The traveling salesperson problem (TSP) is a popular example of optimization problem, which has wide application in planning and logistics. The description is given below. A salesperson has to travel through n cities. Any arbitrary two cities are always connected by a straight line. The salesperson do not want to visit any city twice. What … Read more