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.
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
%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
}