2024-01-202024-01-202023-11Park, K.C., González, J.Á. y Park, Y.H. [et al.] (2023). Displacement-based partitioned equations of motion for structures: Formulation and proof-of-concept applications. International Journal for Numerical Methods in Engineering, 124 (22), 5020-5046. https://doi.org/10.1002/nme.7334.1097-02070029-5981https://hdl.handle.net/11441/153679A new formulation for the displacement-only partitioned equations of motion for linear structures is presented, which employs: the partitioned displacement, acceleration, and applied force ( ); the partitioned block diagonal mass and stiffness matrices ( ); and, the coupling projector ( ), yielding the partitioned coupled equations of motion: ). The key element of the proposed formulation is the coupling projector ( ) which can be constructed with the partitioned mass matrix ( ), the Boolean matrix that extracts the partition boundary degrees of freedom ( ), and the assembly matrix ( ) relating the assembled displacements ( ) to the partitioned displacements ( ) via . Potential utility of the proposed formulation is illustrated as applied to six proof-of-concept problems in an ideal setting: unconditionally stable explicit-implicit transient analysis, static parallel analysis in an iterative solution mode; reduced-order modeling (component mode synthesis); localized damage identification which can pinpoint damage locations; a new procedure for partitioned structural optimization; and, partitioned modeling of multiphysics problems. Realistic applications of the proposed formulation are presently being carried out and will be reported in separate reports.application/pdf27 p.engPartitioned displacement-only formulationParallel transient analysisParallel static analysisReduced-order modelingDamage detectionStructural optimizationMultiphysics analysisinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1002/nme.7334