Otimização de forma aplicando B-splines sob critério integral de tensões

This work proposes a computational methodology to solve problems of optimization in structural design. The application develops, implements and integrates methods for structural analysis, geometric modeling, design sensitivity analysis and optimization. So, the optimum design problem is particularized for plane stress case, with the objective to minimize the structural mass subject to a stress criterion. Notice that, these constraints must be evaluated at a series of discrete points, whose distribution should be dense enough in order to minimize the chance of any significant constraint violation between specified points. Therefore, the local stress constraints are transformed into a global stress measure reducing the computational cost in deriving the optimal shape design. The problem is approximated by Finite Element Method using Lagrangian triangular elements with six nodes, and use a automatic mesh generation with a mesh quality criterion of geometric element. The geometric modeling, i.e., the contour is defined by parametric curves of type B-splines, these curves hold suitable characteristics to implement the Shape Optimization Method, that uses the key points like design variables to determine the solution of minimum problem. A reliable tool for design sensitivity analysis is a prerequisite for performing interactive structural design, synthesis and optimization. General expressions for design sensitivity analysis are derived with respect to key points of B-splines. The method of design sensitivity analysis used is the adjoin approach and the analytical method. The formulation of the optimization problem applies the Augmented Lagrangian Method, which convert an optimization problem constrained problem in an unconstrained. The solution of the Augmented Lagrangian function is achieved by determining the analysis of sensitivity. Therefore, the optimization problem reduces to the solution of a sequence of problems with lateral limits constraints, which is solved by the Memoryless Quasi-Newton Method It is demonstrated by several examples that this new approach of analytical design sensitivity analysis of integrated shape design optimization with a global stress criterion purpose is computationally efficient

Arquitetura escolar Infantil modulada e flexível

For many y ears, the federal government policy is to use project for in order to speed up the work for decreasing the elementary education deficit vacancy . In Natal municipality the schoolhouses for children, from 0 to 6 years of age are denom inated Muinicipality Centre for Elementary Education. The federal government provides capital for the news edifications by the program of government named PROINFÂNCIA. This program embraces three types of projects. Type “A” must be furnished by the interes ted municipality and approved by Education and Cultura Ministry. The type “B” is standard plan with capability to 120 schoolchildren in full - time or 240 in two turns and ground plot measuring 40 x 70m and the “type C” also a standart projects to 60 schoolc hildren in full - time or 120 in two turns and ground plot measuring 35 x 45m. Sometimes , due to scarcity of bigger ground plot s is the “type C” instead of “type B”, referring to offering vacancies. In this meaning, this study intend s to present the draft - project to elementary schoolhouse, modulated and flexible, emphasizing the children needs . Therefore, it was studied concept, school architecture, construction technology, reference study and visiting to MCEE Fernanda Jales (PROINFÂNC IA “tipo B”). However, the proposal synthesizes the draft - project by module, implanting in its totality or in parts, according to its necessity and lot cha racteristic.