DCAMM seminar - A Novel Method of FEM Modeling and Solution without Assembly: Can It Be Possible, Part I: Theory and Formulation

A DCAMM seminar will be presented by

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

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 (P_d), yielding the partitioned coupled equations of motion.

𝑴d̈= 𝐏( 𝒇 − 𝑲 𝒅)

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 (P_d) 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 = L_g d_g.

Danish pastry, coffee and tea will be served 15 minutes before the seminar starts. 

All interested persons are invited