%0 Journal Article %1 jensen_topology_2007 %A Jensen, Jakob S. %D 2007 %J International Journal for Numerical Methods in Engineering %K Padé Topology approximants, forced optimization vibrations, %N 13 %P 1605–1630 %R 10.1002/nme.2065 %T Topology optimization of dynamics problems with Padé approximants %U http://onlinelibrary.wiley.com/doi/10.1002/nme.2065/abstract %V 72 %X An efficient procedure for topology optimization of dynamics problems is proposed. The method is based on frequency responses represented by Padé approximants and analytical sensitivity analysis derived using the adjoint method. This gives an accurate approximation of the frequency response over wide frequency ranges and a formulation that allows for design sensitivities to be computed at low computational cost also for a large number of design variables. Two examples that deal with optimization of forced vibrations are included. Copyright © 2007 John Wiley & Sons, Ltd.

@article{jensen_topology_2007, abstract = {An efficient procedure for topology optimization of dynamics problems is proposed. The method is based on frequency responses represented by Padé approximants and analytical sensitivity analysis derived using the adjoint method. This gives an accurate approximation of the frequency response over wide frequency ranges and a formulation that allows for design sensitivities to be computed at low computational cost also for a large number of design variables. Two examples that deal with optimization of forced vibrations are included. Copyright © 2007 John Wiley \& Sons, Ltd.}, added-at = {2013-01-26T11:35:39.000+0100}, author = {Jensen, Jakob S.}, biburl = {https://www.bibsonomy.org/bibtex/241494d52119eb97e12cfaca8681990c1/bhessen}, copyright = {Copyright © 2007 John Wiley \& Sons, Ltd.}, doi = {10.1002/nme.2065}, file = {Full Text PDF:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\ITS6W6NX\Jensen - 2007 - Topology optimization of dynamics problems with Pa.pdf:application/pdf;Snapshot:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\Q64B6STM\abstract.html:text/html}, interhash = {1abe64bf5510a9a8a755b28037f82e80}, intrahash = {41494d52119eb97e12cfaca8681990c1}, issn = {1097-0207}, journal = {International Journal for Numerical Methods in Engineering}, keywords = {Padé Topology approximants, forced optimization vibrations,}, language = {en}, number = 13, pages = {1605–1630}, timestamp = {2013-01-26T11:35:58.000+0100}, title = {Topology optimization of dynamics problems with Padé approximants}, url = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2065/abstract}, urldate = {2013-01-24}, volume = 72, year = 2007 }