A Component‐Based Parametric Reduced‐Order Modeling Method Combined with Substructural Matrix Interpolation and Automatic Sampling

Abstract

An efficient parametric reduced-order modeling method combined with substructural matrix interpolation and automatic sampling procedure is proposed. is approach is based on the fixed-interface Craig-Bampton component mode synthesis method (CMS). e novel parametric reduced-order models (PROMs) are developed by interpolating substructural reducedorder matrices. To guarantee the compatibility of the coordinates, we develop a three-step adjustment procedure by reducing the local interface degrees of freedom (DOFs) and performing congruence transformation for the normal modes and interface reduced basis, respectively. In addition, an automatic sampling process is also introduced to dynamically fulfill the predefined error limits. It proceeds by first exploring the parameter space and identifying the sampling points with maximum error indicators for all the parameter-dependent substructures. e exact error of the assembled model at the optimal parameter point is subsequently calculated to determine whether the automatic sampling procedure reaches a desired error tolerance. e proposed framework is then applied to the moving coil of electrical-dynamic shaker to illustrate the advantage and validity. e results indicate that this new approach can significantly reduce both the offline database construction time and online calculation time. Besides, the automatic procedure can sample the parameter space efficiently and fulfill the stopping criterion dynamically with assurance of the resulting PROM accuracy.

Primary degrees of freedom of the printed circuit board selection based on the reduced method

“…The dynamic condensation method is proposed to considering the inertia term. There are other methods proposed to improve accuracy [1][2][3][4][5][6][7][8][9][10] . These methods select the primary DOF by the global stiffness and mass matrix, so they have great computation cost.…”