caa a22 4500 463169298 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s10957-007-9260-7 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9260-7 An Optimal Design Problem in Wave Propagation [Elektronische Daten] [J. Bellido, A. Donoso] We consider an optimal design problem in wave propagation proposed in Sigmund and Jensen (Roy. Soc. Lond. Philos. Trans. Ser. A 361:1001-1019, 2003) in the one-dimensional situation: Given two materials at our disposal with different elastic Young modulus and different density, the problem consists of finding the best distributions of the two initial materials in a rod in order to minimize the vibration energy in the structure under periodic loading of driving frequencyΩ. We comment on relaxation and optimality conditions, and perform numerical simulations of the optimal configurations. We prove also the existence of classical solutions in certain cases. Springer Science+Business Media, LLC, 2007 Optimal design nationallicence Wave propagation nationallicence Classical solutions nationallicence Bellido J. E.T.S.I. Industriales, Universidad de Castilla-La Mancha, c/Campus Universitario s/n, Ciudad Real, Spain aut Donoso A. Department of Mechanical Engineering, Technical University of Denmark, 2800, Kgs. Lyngby, Denmark aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 134/2(2007-08-01), 339-352 0022-3239 134:2<339 2007 134 10957 https://doi.org/10.1007/s10957-007-9260-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9260-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bellido J. E.T.S.I. Industriales, Universidad de Castilla-La Mancha, c/Campus Universitario s/n, Ciudad Real, Spain aut NATIONALLICENCE 700 1- Donoso A. Department of Mechanical Engineering, Technical University of Denmark, 2800, Kgs. Lyngby, Denmark aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 134/2(2007-08-01), 339-352 0022-3239 134:2<339 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer