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Eigenvalue and eigenmode synthesis in elastically coupled subsystems Magrans Fontrodona, Francesc Xavier Poblet-Puig, Jordi Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Strength of materials Elasticity Subsystems Synthesis Eigenvalues Eigenvectors Sub-structuring Eigenmodes. Resistència de materials Elasticitat Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials A method to synthesize the modal characteristics of a system from the modal characteristics of its subsystems is proposed. The interest is focused on those systems with elastic links between the parts which is the main feature of the proposed method. An algebraic proof is provided for the case of arbitrary number of connections. The solution is a system of equations with a reduced number of degrees of freedom that correspond to the number of elastic links between the subsystems. In addition the method is also interpreted from a physical point of view (equilibrium of the interaction forces). An application to plates linked by means of springs shows how the global eigenfrequencies and eigenmodes are properly computed by means of the subsystems eigenfrequencies and eigenmodes. Peer Reviewed Postprint (author's final draft) 2018-10-13 Article Magrans, F.X., Poblet-Puig, J. Eigenvalue and eigenmode synthesis in elastically coupled subsystems. "Journal of sound and vibration", 13 Octubre 2018, vol. 432, p. 405-419. 0022-460X https://hdl.handle.net/2117/121700 10.1016/j.jsv.2018.06.050 eng https://www.sciencedirect.com/science/article/pii/S0022460X18304127?via%3Dihub Open Access 15 p. application/pdf