87713 20200716101527.0 doi 10.1016/j.crme.2019.01.005 sideral 110704 ART-2019-110704 eng Quaranta, G. From linear to nonlinear PGD-based parametric structural dynamics 2019 Access copy available to the general public Unrestricted The 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. info:eu-repo/grantAgreement/ES/DGA-FSE/T24-17R info: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 This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 675919-AdMoRe info:eu-repo/grantAgreement/ES/MINECO/DPI2015-72365-EXP info:eu-repo/grantAgreement/ES/MINECO/DPI2017-85139-C2-1-R info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.509 2019 MECHANICS 95 / 136 = 0.699 2019 Q3 T3 0.466 2019 Mechanics of Materials 2019 Q2 Materials Science (miscellaneous) 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Argerich Martin, C. Ibañez, R. Duval, J.L. (orcid)0000-0003-1017-4381 Cueto, E. Universidad de Zaragoza Chinesta, F. 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 347, 5 (2019), 445-454 C. R. Mec. COMPTES RENDUS MECANIQUE 1631-0721 596390 http://zaguan.unizar.es/record/87713/files/texto_completo.pdf Postprint 47412 http://zaguan.unizar.es/record/87713/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:87713 articulos driver 2020-07-16-09:31:04 ARTICLE