A dynamic condensation method with free interface substructuring

Dynamic condensation approach for response-based finite element model updating of large-scale structures

“…The sensitivity matrix of the objective function provides the searching direction of the optimization, which is expressed as (33) where sign(r) denotes the sign of r. The proposed dynamic condensation approach is used to calculate the analytical responses 11), ( 12), ( 13) and (17).…”

“…Mercer et al [32] studied the effects of sensor placement on the quality of Guyan condensation method and improved the computational accuracy by using sensor optimization techniques. Kim et al [33] integrated the free-interface substructuring method with the dynamic condensation method to handle relatively large and more complex structures efficiently. As the selection of master DOFs is closely related to the accuracy and efficiency of dynamic condensation methods, Jeong et al [34] proposed a rational master DOFs selection method via energy distribution matrices.…”

FRF of a coupled geared system using the frequency based substructuring and condensation methods

“…Some techniques of Frequency Based Sub-structuring (FBS), like coupling method, were suggested in Roy and Craig, 1 Tsai et al 2 Similar to coupling strategies, the decoupling techniques are created for a known assembled system to detect one of the subsystems. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] Usually, the methodology of DS as coupling method is implemented to finite element models with high number of DoFs. [7][8][9] Nevertheless the methodology of DS is applied for transmission systems to be decoupled using additional knowledge of interface characteristics.…”

“…The technique is according to preliminary Guyan reduction steps. 16,17,18 In addition, Kim et al 19 used a dynamic condensation method with free interface sub-structuring.…”