caa a22 4500 463244052 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-006-0086-y doi (NATIONALLICENCE)springer-10.1007/s00158-006-0086-y Pedersen Niels Department of Mechanical Engineering, Solid Mechanics Technical University of Denmark, Nils Koppels Allé, Building 404, DK-2800, Kgs. Lyngby, Denmark aut On simultaneous shape and orientational design for eigenfrequency optimization [Elektronische Daten] [Niels Pedersen] Plates with an internal hole of fixed area are designed in order to maximize the performance with respect to eigenfrequencies. The optimization is performed by simultaneous shape, material, and orientational design. The shape of the hole is designed, and the material design is the design of an orthotropic material that can be considered as a fiber-net within each finite element. This fiber-net is optimally oriented in the individual elements of the finite element discretization. The optimizations are performed using the finite element method for analysis, and the optimization approach is a two-step method. In the first step, we find the best design on the basis of a recursive optimization procedure based on optimality criteria. In the second step, mathematical programming and sensitivity analysis are applied to find the final optimized design. Springer-Verlag Berlin Heidelberg, 2007 Shape nationallicence Orientation nationallicence Optimality criteria nationallicence Mathematical programming nationallicence Plates nationallicence Eigenfrequencies nationallicence Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 387-399 1615-147X 33:4-5<387 2007 33 158 https://doi.org/10.1007/s00158-006-0086-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0086-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pedersen Niels Department of Mechanical Engineering, Solid Mechanics Technical University of Denmark, Nils Koppels Allé, Building 404, DK-2800, Kgs. Lyngby, Denmark aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 387-399 1615-147X 33:4-5<387 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer