caa a22 4500 463243889 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s00158-007-0101-y doi (NATIONALLICENCE)springer-10.1007/s00158-007-0101-y Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps [Elektronische Daten] [Jianbin Du, Niels Olhoff] A frequent goal of the design of vibrating structures is to avoid resonance of the structure in a given interval for external excitation frequencies. This can be achieved by, e.g., maximizing the fundamental eigenfrequency, an eigenfrequency of higher order, or the gap between two consecutive eigenfrequencies of given order. This problem is often complicated by the fact that the eigenfrequencies in question may be multiple, and this is particularly the case in topology optimization. In the present paper, different approaches are considered and discussed for topology optimization involving simple and multiple eigenfrequencies of linearly elastic structures without damping. The mathematical formulations of these topology optimization problems and several illustrative results are presented. Springer-Verlag Berlin Heidelberg, 2007 Eigenfrequency design nationallicence Multiple eigenvalues nationallicence Topology optimization nationallicence Bound formulation nationallicence Du Jianbin Department of Mechanical Engineering, Aalborg University, 9220, Aalborg East, Denmark aut Olhoff Niels Department of Mechanical Engineering, Aalborg University, 9220, Aalborg East, Denmark aut Structural and Multidisciplinary Optimization Springer-Verlag 34/2(2007-08-01), 91-110 1615-147X 34:2<91 2007 34 158 https://doi.org/10.1007/s00158-007-0101-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-007-0101-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Du Jianbin Department of Mechanical Engineering, Aalborg University, 9220, Aalborg East, Denmark aut NATIONALLICENCE 700 1- Olhoff Niels Department of Mechanical Engineering, Aalborg University, 9220, Aalborg East, Denmark aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 34/2(2007-08-01), 91-110 1615-147X 34:2<91 2007 34 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463243633 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer