A new algorithm for near–singular integration of 3D Boundary Element Integrals for thin–walled elements
Journal Title: Revista Facultad de Ingeniería-Universidad de Antioquia - Year 2015, Vol 1, Issue 74
Abstract
The accuracy of the Boundary Element Method (BEM) is strongly dependent on an accurate evaluation of boundary integrals. For thin-walled structures, collocation points and integration elements are often very close, making the kernel of the integrations nearly singular and requiring the use of special numerical integration techniques. In this paper, an effective algorithm is presented for near–singular integration of boundary element integrals applied to three–dimensional thin-walled structures. A combination of Telles’ transformation of variables technique and an adaptive Gaussian quadrature method for regular integrals is used to improve the integration accuracy and to decrease the computation time. The choice of parameters for the technique depends on the relationship between the distance from collocation point to integration element and a reference element length. The proposed integration algorithm is applied to thin plate uniaxial loading and pressurized thin-walled cylindrical shells. The results obtained are in good agreement with theoretical results and the reduction in integration times is significant.
Authors and Affiliations
Marco Antonio González de León, Luiz Carlos Wrobel, Manuel del Jesús- Martinez
Keywords
Related Articles
- EP ID EP625748
- DOI -
- Views 112
- Downloads 0
Band-Pass filters using OSRR cells
This paper presents the design process (including optimization and characterization) of a band-pass filter through the use of OSRR-structured meta-material cells over micro-strip substrates. The proposed design, which st...
Experimental characterization of thermal hydraulic performance of louvered brazed plate fin heat exchangers
Louvered fins are commonly used in compact heat exchangers to increase the surface area, turbulence, and initiate new boundary layer growth required to improve the heat transfer performance without a significant increase...
Performance of a Genetic Algorithm applied to robust design in multiobjective systems under different levels of fractioning
This paper studies the performance of a Genetic Algorithm (GA) to find solutions to problems of robust design in multiobjective systems with many control and noise factors, representing the output vector in a single aggr...
Influence of sodium chloride on the cloud point of polyethoxylate surfactants and estimation of Flory-Huggins model parameters
In this study, the influence of NaCl on the cloud point of polyethoxylate surfactants from the family of lauryl alcohol polyethoxylates (C12EOn) and nonylphenol polyethoxylates (NPEOn) was investigated. Liquid-liquid equ...
Comparison of models and standards for implementing IT service capacity management
Due to the recent and significant growth of the information technology (IT) services, industries need some sort of framework and / or standards for the management of their services, especially IT services.So, it becomes...