Dynamic behavior of a two-degree-of-freedom system with electromagnetic interaction via a skew-symmetric matrix

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dc.contributor.authorCortés Martínez, Fernando
dc.contributor.authorZarraga Rio, Ondiz
dc.contributor.authorCortazar Noguerol, Julen
dc.contributor.authorSarría, Imanol
dc.contributor.authorElejabarrieta Olabarri, María Jesús
dc.date.accessioned2026-05-20T14:53:59Z
dc.date.available2026-05-20T14:53:59Z
dc.date.issued2025-09-10
dc.date.updated2026-05-20T14:53:59Z
dc.description.abstractThis paper analyzes the dynamic behavior of a two-degree-of-freedom system subjected to electromagnetic interaction modelled through a skew-symmetric coupling matrix. The system comprises two mechanically independent oscillators coupled by velocity-dependent electromagnetic forces. The equations of motion are formulated and analyzed in the modal domain, highlighting the effects of the antisymmetric interaction on natural frequencies and mode shapes. The classical orthogonality is broken, resulting in complex eigenvectors; nevertheless, the system remains conservative, as the interaction forces perform no work. The analysis is carried out using both configuration-space and state-space formulations, revealing modal frequency splitting and phase shifts induced by the skew-symmetric term. These modal features are further examined through time-domain simulations and frequency response functions. The main contribution of this study is the development and analysis of a deliberately simple yet general model that isolates the essential dynamic effects of skew-symmetric electromagnetic coupling. This minimal formulation, often hidden in more complex systems, reveals key phenomena such as modal frequency splitting, non-normal modes, and energy-conserving cross-effects. The model serves not only as a conceptual reference but also as a methodological framework applicable to a broad class of coupled electromechanical systems.
dc.description.sponsorshipThis study was supported by the Department of Education of the Basque Government for the Research Group program IT1507–22en
dc.identifier.citationCortes, F., Zarraga, O., Cortazar-Noguerol, J., Sarria, I., & Elejabarrieta, M. J. (2025). Dynamic behavior of a two-degree-of-freedom system with electromagnetic interaction via a skew-symmetric matrix. International Journal of Mechanical System Dynamics, 5(4), 579-595. https://doi.org/10.1002/MSD2.70047
dc.identifier.doi10.1002/MSD2.70047
dc.identifier.eissn2767-1402
dc.identifier.issn2767-1399
dc.identifier.urihttps://hdl.handle.net/20.500.14454/6032
dc.language.isoeng
dc.publisherWiley
dc.rights© 2025 The Author(s)
dc.subject.otherFrequency splitting in conservative systems
dc.subject.otherMechanical-electromagnetic mode coupling
dc.subject.otherNon-orthogonal modes
dc.subject.otherSkew-symmetric interaction matrix
dc.subject.otherTime and frequency response
dc.titleDynamic behavior of a two-degree-of-freedom system with electromagnetic interaction via a skew-symmetric matrixen
dc.typejournal article
dcterms.accessRightsopen access
oaire.citation.endPage595
oaire.citation.issue4
oaire.citation.startPage579
oaire.citation.titleInternational Journal of Mechanical System Dynamics
oaire.citation.volume5
oaire.licenseConditionhttps://creativecommons.org/licenses/by/4.0/
oaire.versionVoR
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