?url_ver=Z39.88-2004&rft_id=arXiv%3A1603.07717&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F3171%2F&rft.title=Design+of+acoustic+metamaterials+through+nonlinear+programming&rft.creator=Bacigalupo%2C+Andrea&rft.creator=Gnecco%2C+Giorgio&rft.creator=Lepidi%2C+Marco&rft.creator=Gambarotta%2C+Luigi&rft.subject=QA75+Electronic+computers.+Computer+science&rft.description=The+dispersive+wave+propagation+in+a+periodic+metamaterial+with+tetrachiral+topology+and+inertial+local+resonators+is+investigated.+The+Floquet-Bloch+spectrum+of+the+metamaterial+is+compared+with+that+of+the+tetrachiral+beam+lattice+material+without+resonators.+The+resonators+can+be+designed+to+open+and+shift+frequency+band+gaps%2C+that+is%2C+spectrum+intervals+in+which+harmonic+waves+do+not+propagate.+Therefore%2C+an+optimal+passive+control+of+the+frequency+band+structure+can+be+pursued+in+the+metamaterial.+To+this+aim%2C+a+suitable+constrained+nonlinear+optimization+problem+on+a+compact+set+of+admissible+geometrical+and+mechanical+parameters+is+stated.+According+to+functional+requirements%2C+the+particular+set+of+parameters+which+determines+the+largest+low-frequency+band+gap+between+a+pair+of+consecutive+branches+of+the+Floquet-Bloch+spectrum+is+obtained.+The+optimization+problem+is+successfully+solved+by+means+of+a+version+of+the+method+of+moving+asymptotes%2C+combined+with+a+quasi-Monte+Carlo+multi-start+technique.%0D%0ASubjects%3A%09Materials+Science+(cond-mat.mtrl-sci)%0D%0ACite+as%3A%09arXiv%3A1603.07717+%5Bcond-mat.mtrl-sci%5D%0D%0A+%09(or+arXiv%3A1603.07717v2+%5Bcond-mat.mtrl-sci%5D+for+this+version)&rft.publisher=arXiv&rft.date=2016&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.rights=cc_by_nc&rft.identifier=http%3A%2F%2Feprints.imtlucca.it%2F3171%2F1%2F1603.07717.pdf&rft.identifier=++Bacigalupo%2C+Andrea+and+Gnecco%2C+Giorgio+and+Lepidi%2C+Marco+and+Gambarotta%2C+Luigi++Design+of+acoustic+metamaterials+through+nonlinear+programming.++Working+Paper+++arXiv+++++++(Submitted)+++&rft.relation=https%3A%2F%2Farxiv.org%2Fabs%2F1603.07717&rft.relation=arXiv%3A1603.07717