Component Mode Synthesis for Substructures with Non-Matching Interfaces

Coupling of non‐conforming meshes in a component mode synthesis method

“…Because an interface motion does not only depend on the dynamic behavior of one substructure but also on the dynamic behavior of the other substructures that share the same interface, all substructure interfaces have to be taken into account at the same time for defining T IR . The coupled statically condensed substructure matrices are Ä N M bb 0 0 0 , Ä N K bb B T B 0 (18) where N M bb D Next step is calculating the mode shapes on the substructure interfaces. This is performed by solving a free vibration problem on the interface, that is,…”

“…Farhat et al chose the Craig–Bampton (CB) method as a CMS method and employ interpolation‐based discretization. Park et al merge the CB method with two interpolation methods on the basis of the moving least squares interpolation technique. Both of the methods presented in and are tested on substructures, which have curvilinear interfaces.…”

“…Park et al [18] merge the CB method with two interpolation methods on the basis of the moving least squares interpolation technique. Both of the methods presented in [17] and [18] are tested on substructures, which have curvilinear interfaces.In this research, the utilized CMS method is also the CB. For the coupling of non-matching interfaces, the L2-minimization is employed where the interpolation function is chosen as the linear combination of the shape functions associated with the interface nodal points.…”

“…Park et al [18] merge the CB method with two interpolation methods on the basis of the moving least squares interpolation technique. Both of the methods presented in [17] and [18] are tested on substructures, which have curvilinear interfaces.…”

Optimizing the dynamic behavior of structures using substructuring and surrogate modeling

“…Thus, the CB method and the reanalysis methods can safely be employed. When the analysis phase of the proposed method is extended with methods taking into account the non-matching interfaces [43,108,115], the SBO scheme can also be used for the shape optimization problems. On the other hand, the reanalysis methods have to be reconsidered again.…”