caa a22 4500 463244273 CHVBK 20180405153321.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s00158-006-0046-6 doi (NATIONALLICENCE)springer-10.1007/s00158-006-0046-6 Velocity fields using NURBS with distortion control for structural shape optimization [Elektronische Daten] [C. Silva, M. Bittencourt] The paper presents methods for the calculation of design velocity fields and mesh updating in the context of shape optimization. Velocity fields have a fundamental role in the integration of the main conceptual and software components in shape design optimization. Nonuniform rational B-splines are used to parameterize the domain boundary. A Newton/Raphson procedure is used to calculate the curve and surface internal parameters. A preconditioning iterative conjugate gradient method with low precision is used to improve the solution performance of the auxiliar problem in the calculation of the velocity fields. The velocity fields are also used to perturb the finite element mesh and element distortion measures are introduced. Finally, examples of two- and three-dimensional elastic problems are presented to illustrate the application of the algorithms. Springer-Verlag Berlin Heidelberg, 2006 Shape optimization nationallicence Velocity fields nationallicence Finite element method nationallicence Distortion control nationallicence NURBS nationallicence Silva C. Thorus Scisoft Tecnologia da Informação Ltda., Estrada Telebrás/UNICAMP, Km 0.97, Cidade Universitária, 13081-970, Campinas, São Paulo, Brazil aut Bittencourt M. Department of Mechanical Design (DPM), Faculty of Mechanical Engineering (FEM), State University of Campinas (UNICAMP), P.O. Box 6051, 13083-970, Campinas, São Paulo, Brazil aut Structural and Multidisciplinary Optimization Springer-Verlag 33/2(2007-02-01), 147-159 1615-147X 33:2<147 2007 33 158 https://doi.org/10.1007/s00158-006-0046-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0046-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Silva C. Thorus Scisoft Tecnologia da Informação Ltda., Estrada Telebrás/UNICAMP, Km 0.97, Cidade Universitária, 13081-970, Campinas, São Paulo, Brazil aut NATIONALLICENCE 700 1- Bittencourt M. Department of Mechanical Design (DPM), Faculty of Mechanical Engineering (FEM), State University of Campinas (UNICAMP), P.O. Box 6051, 13083-970, Campinas, São Paulo, Brazil aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/2(2007-02-01), 147-159 1615-147X 33:2<147 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer