Artículo
Displacement-based partitioned equations of motion for structures: Formulation and proof-of-concept applications
Autor/es | Park, K.C.
González Pérez, José Ángel Park, Y.H. |
Departamento | Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería |
Fecha de publicación | 2023-11 |
Fecha de depósito | 2024-01-20 |
Publicado en |
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Resumen | A 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 ... A 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. |
Cita | Park, 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. |
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