000087713 001__ 87713
000087713 005__ 20200716101527.0
000087713 0247_ $$2doi$$a10.1016/j.crme.2019.01.005
000087713 0248_ $$2sideral$$a110704
000087713 037__ $$aART-2019-110704
000087713 041__ $$aeng
000087713 100__ $$aQuaranta, G.
000087713 245__ $$aFrom linear to nonlinear PGD-based parametric structural dynamics
000087713 260__ $$c2019
000087713 5060_ $$aAccess copy available to the general public$$fUnrestricted
000087713 5203_ $$aThe present paper analyzes different integration schemes of solid dynamics in the frequency domain involving the so-called Proper Generalized Decomposition – PGD. The last framework assumes for the solution a parametric dependency with respect to frequency. This procedure allowed introducing other parametric dependences related to loading, geometry, and material properties. However, in these cases, affine decompositions are required for an efficient computation of separated representations. A possibility for circumventing such difficulty consists in combining modal and harmonic analysis for defining an hybrid integration scheme. Moreover, such a procedure, as proved in the present work, can be easily generalized to address nonlinear parametric dynamics, as well as to solve problems with non-symmetric stiffness matrices, always operating in the domain of low frequencies.
000087713 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/T24-17R$$9info:eu-repo/grantAgreement/EC/H2020/675919/EU/Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problems/AdMoRe$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 675919-AdMoRe$$9info:eu-repo/grantAgreement/ES/MINECO/DPI2015-72365-EXP$$9info:eu-repo/grantAgreement/ES/MINECO/DPI2017-85139-C2-1-R
000087713 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000087713 590__ $$a1.509$$b2019
000087713 591__ $$aMECHANICS$$b95 / 136 = 0.699$$c2019$$dQ3$$eT3
000087713 592__ $$a0.466$$b2019
000087713 593__ $$aMechanics of Materials$$c2019$$dQ2
000087713 593__ $$aMaterials Science (miscellaneous)$$c2019$$dQ2
000087713 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000087713 700__ $$aArgerich Martin, C.
000087713 700__ $$aIbañez, R.
000087713 700__ $$aDuval, J.L.
000087713 700__ $$0(orcid)0000-0003-1017-4381$$aCueto, E.$$uUniversidad de Zaragoza
000087713 700__ $$aChinesta, F.
000087713 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDpto. Ingeniería Mecánica$$cÁrea Mec.Med.Cont. y Teor.Est.
000087713 773__ $$g347, 5 (2019), 445-454$$pC. R. Mec.$$tCOMPTES RENDUS MECANIQUE$$x1631-0721
000087713 8564_ $$s596390$$uhttps://zaguan.unizar.es/record/87713/files/texto_completo.pdf$$yPostprint
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000087713 951__ $$a2020-07-16-09:31:04
000087713 980__ $$aARTICLE