Optimal component mode synthesis for medium frequency problem

Abstract

International audienceThe component mode synthesis (CMS) with fixed interface (denoted Craig–Bampton) method uses a combination of static and dynamic modes. The usual definition of this CMS leads to a coupling between static and dynamic modes which are not orthogonal with respect to the stiffness matrix. This type of basis is not well suited for dynamic explicit computations, because the resulting mass matrix is not diagonal. If one keeps the same basis mode set but uses an orthogonalization process with respect to the mass matrix, the quality of the reduced Craig–Bampton system is kept but the basis vectors are combined differently. The aim of this paper is to propose a new way to control the accuracy of the reduced dynamic system for a specific frequency domain. Thus a new CMS is defined in order to be accurate in the medium frequency range

Variational-Based Reduced-Order Model in Dynamic Substructuring of Coupled Structures Through a Dissipative Physical Interface: Recent Advances

“…The Lagrange multipliers have also been used to write the coupling on the geometrical interface [51,67,68,73]. Dynamic substructuring in the medium-frequency range has been analyzed [43,33,77,81]. On the other hand, uncertainty quantification is nowadays recognized as playing an important role in order to improve the robustness of the models for the low-frequency range and especially, in the medium-frequency range in the context of substructuring techniques [16,34,36,55,63,80,79].…”

Clarification about Component Mode Synthesis Methods for Substructures with Physical Flexible Interfaces

“…In this context, the Lagrange multipliers have also been used to write the coupling on the geometrical interface [23,34,35,36] As damping plays an important role in the prediction of the dynamical responses, substructuring techniques taking into account damping have been the subject of several investigations, for instance, [37,38,39,40,41,42,43,44,45,46,47]. In particular, the damping modeling is important in the medium-frequency range which has been analyzed in [48,49,50,51] in the context of substructuring techniques. In addition, uncertainty quantification is nowadays recognized as playing an important role in order to improve the robustness of the numerical simulations for the lowfrequency range and especially, in the medium-frequency range and some works have been developed in the context of substructuring techniques [52,53,54,55,56,57,58].…”