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Boundary Elements in Shape Optimal Design of Structural Components

  • C. A. Mota Soares
  • R. P. Leal
  • K. K. Choi
Part of the NATO ASI Series book series (volume 27)

Abstract

The shape optimal design of shafts and two-dimensional elastic structural components is formulated using boundary elements. The design objective is to maximize torsional rigidity of the shaft or to minimize compliance of the structure, subject to an area constrain Also a model based on minimum area and stress constraints is developed, where the real and adjoint structures are identical, but with different loading conditions. All degrees of freedom of the models are at the boundary and there is no need for calculating displacements and stresses in the domain. Formulations based on constant, linear and quadratic boundary elements are developed. A method for calculating accurately the stresses at the boundary is presented, which improves considerably the design sensitivity information. It is developed a technique for an automatic mesh refinement of boundary element models. The corresponding nonlinear programming problems are solved by Pshenichny’s linearization method. The models are applied to shape optimal design of several shafts and elastic structural components. The advantages and disadvantages of the boundary element method over the finite element technique for shape optimal design of structures are discussed with reference to applications. A literature survey of the development of the boundary element method for shape optimal design is presented.

Keywords

Design Variable Boundary Element Boundary Element Method Boundary Integral Equation Stress Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • C. A. Mota Soares
    • 1
  • R. P. Leal
    • 1
  • K. K. Choi
    • 2
  1. 1.Instituto Superior TécnicoCentro de Mecânica e Materials da Universidade, Técnica de Lisboa (CEMUL)Lisboa CodexPortugal
  2. 2.Center for Computer Aided Design, College of EngineeringThe University of IowaIowa CityUSA

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