STUDY REGARDING THE CONVERGENCE OF THE STRUCTURAL MODELS IN COMPUTER-AIDED DESIGN
PhD. Vergil Marian Muraru, Math. Petru Cardei, PhD. Student Sebastian Lucian Muraru, Researcher Raluca Sfiru, PhD. Cornelia Muraru-Ionel
National Institute of Research - Development for Machines and Installations designed to Agriculture and Food Industry – INMA, Romania
This paper presents a study of the structural models convergence, rezulted from CAD (Computer Aided Design ), based on method of estimation. The study of the structural models convergence presented a method based on the convergence, in the sense of mathematical analysis, adapted to finite strings.
The convergence estimators are status sizes that characterize the response of the structural model to the given load. As convergence estimators can be used sizes that characterize the response of the structure, like follows: relative displacements (translations, rotations), specific strains, equivalent stress (Von Mises), components of the displacement velocity vector, local sizes that characterize cinematic phenomena, components of the acceleration vector, local sizes which characterize dynamic phenomena: the temperature in the body, etc. For the convergence study of a problem, one can use a single mathematical model for a given structural analysis problem. The mathematical model is resolved by numerical or analytical methods, refining the meshing, respectively, increasing the number of the series terms, until it touches the convergence.
More models can also be used for a problem. Each model is refines until the results, in terms of the convergence estimators, are close enough.