caa a22 4500 463243536 CHVBK 20180405153319.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s00158-006-0059-1 doi (NATIONALLICENCE)springer-10.1007/s00158-006-0059-1 Structural optimization based on topology optimization techniques using frame elements considering cross-sectional properties [Elektronische Daten] [A. Takezawa, S. Nishiwaki, K. Izui, M. Yoshimura] 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. Springer-Verlag Berlin Heidelberg, 2006 Structural optimization nationallicence Topology optimization nationallicence Complementary strain energy nationallicence Frame elements nationallicence Cross-sectional properties nationallicence KKT conditions nationallicence Takezawa A. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut Nishiwaki S. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut Izui K. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut Yoshimura M. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut Structural and Multidisciplinary Optimization Springer-Verlag 34/1(2007-07-01), 41-60 1615-147X 34:1<41 2007 34 158 https://doi.org/10.1007/s00158-006-0059-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0059-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Takezawa A. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut NATIONALLICENCE 700 1- Nishiwaki S. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut NATIONALLICENCE 700 1- Izui K. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut NATIONALLICENCE 700 1- Yoshimura M. Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, 606-8501, Kyoto, Japan aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 34/1(2007-07-01), 41-60 1615-147X 34:1<41 2007 34 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer