Thursday, September 28th, 2023. Time: 10 a.m.

Hybrid - O.C. Zienkiewicz Conference Room, C1 Building, UPC Campus Nord, Barcelona

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ABSTRACT

A new formulation for the displacement-only partitioned equations of motion for linear structures is presented, which employs: the partitioned displacement and acceleration and applied force (d, 𝒅̈, f); the partitioned block diagonal mass and stiffness matrices (M, K); and, the coupling projector (Pd), yielding the partitioned coupled equations of motion:

𝑴 𝒅̈ = 𝐏𝐝( 𝒇 − 𝑲 𝒅) (1)

The preceding DP (Displacement-only Partitioned) equations of motion (1) possess two key features. The nonzero frequencies and the static displacements ( 𝒅̈ = 0) are the same as those obtained by the corresponding assembled FEM equations.

The key element of the proposed DP equations is the coupling projector (Pd) which can be constructed with the partitioned mass matrix (M) the Boolean matrix that extracts the partition boundary degrees of freedom (B) and the assembly matrix (L g ) relating the assembled displacements (d g ) to the partitioned displacements (d) via d = Lg d.

In companion Part II, we present applications of the proposed formulation: 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.

SPEAKER

K. C. Park, Department of Ann and H. J. Smead Aerospace Engineering Sciences, University of Colorado, Boulder CO, USA

Seminar Programme 2023

Info about II part