Severo Ochoa Seminar at CIMNE - "A Novel Method of FEM Modeling and Solution without Assembly: Can It Be Possible?" (Part II: Initial Applications), by Prof. K.C. Park

A new formulation for the displacement-only partitioned equations of motion for linear structures presented in Part I is summarized as
𝑴 𝒅̈ = 𝐏𝐝( 𝒇 − 𝑲 𝒅)
Where ( 𝒅̈, 𝒅, 𝒇) the partitioned accelerations, partitioned displacements and partitioned applied forces acting on each partition, (M, K) are block-diagonal partitioned mass and stiffness matrices, and Pd is the coupling projector.

Part II presents initial applications of the proposed formulation as applied to 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. Part II ends with potential additional applications such as multuphysics modeling and solution methods, optimization and active vibration/noise control, etc.

References

Park, K. C., González, J. A., Park, Y. H., Shin, S.J., Kim, J. G., Maute, K. K., Farhat, C. and Felippa, C. A. Displacement-based partitioned equations of motion for structures: formulation and proof-of-concept applications. http://doi.org/10.1002/nme.7334

Further info:https://www.cimne.com/vnews/2/11982/c...