Homology Design of Flexible Structure by the Finite-Element Method
A new method of homology design based on finite element sensitivity analysis is proposed in static problems. The stiffness equation is separated into two equations by introducing homologous constraint. The governing equation of the design variables is derived from the condition for the two equations to hold. The Moore-Penrose generalized inverse is employed to determine the design variables, as the governing equation is expressed in a rectangular matrix form. The validity of the proposed method is demonstrated by the numerical example concerning with out-of-plane bending of a planar frame structure, for which the homologous constraint is set to keep a member straight.
KeywordsHomology design Moore-Penrose generalized inverse Optimum design Finite element method Sensitivity analysis Flexible structure
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