%0 Journal Article %1 halkjaer_maximizing_2006 %A Halkjær, Søren %A Sigmund, Ole %A Jensen, Jakob S. %D 2006 %J Structural and Multidisciplinary Optimization %K Analysis, Applied Computational Design, Dynamics, Elastic Engineering Experimental Mathematics Mechanics, Numerical Theoretical Topology and band gaps, investigation, optimization %N 4 %P 263--275 %R 10.1007/s00158-006-0037-7 %T Maximizing band gaps in plate structures %U http://link.springer.com/article/10.1007/s00158-006-0037-7 %V 32 %X Band gaps, i.e., frequency ranges in which waves cannot propagate, can be found in elastic structures for which there is a certain periodic modulation of the material properties or structure. In this paper, we maximize the band gap size for bending waves in a Mindlin plate. We analyze an infinite periodic plate using Bloch theory, which conveniently reduces the maximization problem to that of a single base cell. Secondly, we construct a finite periodic plate using a number of the optimized base cells in a postprocessed version. The dynamic properties of the finite plate are investigated theoretically and experimentally and the issue of finite size effects is addressed.

@article{halkjaer_maximizing_2006, abstract = {Band gaps, i.e., frequency ranges in which waves cannot propagate, can be found in elastic structures for which there is a certain periodic modulation of the material properties or structure. In this paper, we maximize the band gap size for bending waves in a Mindlin plate. We analyze an infinite periodic plate using Bloch theory, which conveniently reduces the maximization problem to that of a single base cell. Secondly, we construct a finite periodic plate using a number of the optimized base cells in a postprocessed version. The dynamic properties of the finite plate are investigated theoretically and experimentally and the issue of finite size effects is addressed.}, added-at = {2013-01-26T11:35:39.000+0100}, author = {Halkjær, Søren and Sigmund, Ole and Jensen, Jakob S.}, biburl = {https://www.bibsonomy.org/bibtex/282fd6e39e05bb7547ff039343be08be7/bhessen}, doi = {10.1007/s00158-006-0037-7}, file = {Full Text PDF:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\SEV24H75\Halkjær et al. - 2006 - Maximizing band gaps in plate structures.pdf:application/pdf;Snapshot:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\ZQKJ7TJZ\10.html:text/html}, interhash = {eb0af24771e4bf43bff017c6b9e2a534}, intrahash = {82fd6e39e05bb7547ff039343be08be7}, issn = {1615-{147X}, 1615-1488}, journal = {Structural and Multidisciplinary Optimization}, keywords = {Analysis, Applied Computational Design, Dynamics, Elastic Engineering Experimental Mathematics Mechanics, Numerical Theoretical Topology and band gaps, investigation, optimization}, language = {en}, month = oct, number = 4, pages = {263--275}, timestamp = {2013-01-26T11:35:58.000+0100}, title = {Maximizing band gaps in plate structures}, url = {http://link.springer.com/article/10.1007/s00158-006-0037-7}, urldate = {2013-01-24}, volume = 32, year = 2006 }