Structural optimization based on topology optimization techniques using frame elements considering cross-sectional properties |
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Authors: | A Takezawa S Nishiwaki K Izui M Yoshimura |
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Affiliation: | (1) Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, Kyoto 606-8501, Japan |
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Abstract: | This paper discusses a new structural optimization method, based on topology optimization techniques, using frame elements
where the cross-sectional properties can be treated as design variables. For each of the frame elements, the rotational angle
denoting the principal direction of the second moment of inertia is included as a design variable, and a procedure to obtain
the optimal angle is derived from Karush–Kuhn–Tucker (KKT) conditions and a complementary strain energy-based approach. Based
on the above, the optimal rotational angle of each frame element is obtained as a function of the balance of the internal
moments. The above methodologies are applied to problems of minimizing the mean compliance and maximizing the eigen frequencies.
Several examples are provided to show the utility of the presented methodology. |
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Keywords: | Structural optimization Topology optimization Complementary strain energy Frame elements Cross-sectional properties KKT conditions |
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