Geração computacional de formas livres de estruturas em casca

AUTOR(ES)
DATA DE PUBLICAÇÃO

1993

RESUMO

In shell structures, geometrical shapes are important for the determination of their correct behavior. The stress state is strongly dependent on the geometrical shape. The ideal stress state for these structures is the pure compression state. In this work a relati vely simple process to generate free form shells by means of mathematical programming combined with the finite element technique is presented. As a result of the application of such formulation it is possible to define geometrical shapes for the shells where the applied loadings are equilibrated mainly by membrane action. This doesn t however preclude the existence of loadings which cause noncompressive stress. With the proposed model it is possible to simulate automatically a flexible membrane, with any shape, able to carry a larger number of loading conditions, including pressure loads. Under the action of these loads the membrane is deformed reaching one of its equilibrium configurations, which will define the midle surface of the shell to be built. For pressure loadings it can be shown that, generally, the system of forces is nonconservative. The finite element used to generate free form shells is the constant stress-strain triangle modified to consider out of plane displacements. The constitutive equation to model corresponds to linear elasticity. Exact displacements and strains are used for the membrane, using Green s strains. In the computational model it is possible to impose a known displacement to the membrane and to obtain geometrical shapes just distorting the initial configuration. In this way it is possible to design free form thin shells working as membranes with generic projection in plant the material behavior formulation for large

ASSUNTO(S)

teoria das estruturas cascas (engenharia) deformações e tensões metodo dos elementos finitos

ACESSO AO ARTIGO

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