Lord Rayleigh and Ritz [1] used trial functions to approximate solutions of differential equations. Galerkin [2] used the same concept for solution. The deficiency in the past approaches [6] as compared to the present finite element method, is that the trial functions have to apply over the ...
17, can cause problems in field applications in the future. However, this problem did not occur in the depth image converted using CycleGAN, considering it was already being used in the training set stage. Fig. 17 Failed cases due to blurred focus of the depth camera. a RGB image. b ...
Qinghe Building, Haidian District, Beijing, 100085, China 1 Introduction Generally, the problem of structural optimization could be divided into three sub-problems, namely sizing, shape and topology optimization. The topology optimization is the most beneficial as it can find out the best loading pat...
This paper dedicates to presenting an uncertainty analysis framework for robust topology optimization (RTO) based on truss-like material model that integrates non-intrusive polynomial chaos expansion (PCE) approach. In this framework, the RTO problem is formulated as an optimization problem, which aims...
and a minmax problem is constructed to minimize the compliance or volume of the structure for the worst-case damage scenario. These new analytical solutions provide much needed benchmarks for numerical fail-safe methods. The problems are extended ton-bar systems with damage to multiple members. Re...
Finding analytical solutions that also satisfy boundary conditions specified over arbitrary two- and three-dimensional regions becomes a very difficult task. Numerical methods are therefore widely used for solution of practical problems in all branches of engineering [3].The finite element method is one...
Verification calculations of the possibility of condensation forming on the metal surfaces of the bottom chord of trusses were also performed for the developed design solutions for restoration. Keywords: steel corrosion; moisture condensation; temperature and humidity fields...
WPSO can be used to obtain a series of Pareto solutions, including both the global optimal solution and suboptimal solutions. However, based on practical considerations, it is necessary to select a single preferred solution from the Pareto solutions. Therefore, to select the most suitable optimizati...
Finite Element Method commonly referred to as `FEM' provides effective solutions to even most complicated structural analysis problems. This method is being implemented and used to analyze a wide range of structures including buildings, shelters, bridges, dams, hydraulic structures and many more.Engr....