doi:10.1016/j.crme.2019.01.005engQuaranta, G.Argerich Martin, C.Ibañez, R.Duval, J.L.Cueto, E.Chinesta, F.From linear to nonlinear PGD-based parametric structural dynamicsART-2019-110704The 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.2019http://zaguan.unizar.es/record/8771310.1016/j.crme.2019.01.005http://zaguan.unizar.es/record/87713oai:zaguan.unizar.es:87713info:eu-repo/grantAgreement/ES/DGA-FSE/T24-17Rinfo: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/AdMoReThis project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 675919-AdMoReinfo:eu-repo/grantAgreement/ES/MINECO/DPI2015-72365-EXPinfo:eu-repo/grantAgreement/ES/MINECO/DPI2017-85139-C2-1-RCOMPTES RENDUS MECANIQUE 347, 5 (2019), 445-454by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess