Analyse dynamique des structures dissipatives subissant des modifications paramétriques

In nearly all mechanical constructions, vibrations can gradually damage structures. For that reason, it is imperative to develop a mathematical model that describes these vibrations for the purpose of minimizing their consequences during the design. If we consider the structure’s size and complexity, as well as the repetitive nature which characterizing these procedures, an exact reanalysis is a long and expensive option. That being the case, several methods have been developed to help predict a system’s dynamic behavior. In this work, we develop a method of Modal Reanalysis, which is precise, efficient, and useful for both conservative and dissipative structures. This technique can also decrease issues related to these structures, and consider the effects resulting from modal truncation. The originality lies in the structure of the obtained formula, where attention is focused on the contribution of the unknown modes. Such contribution can be either calculable for a finite element model, or identifiable from experiment model tests.

In nearly all mechanical constructions, vibrations can gradually damage structures. For that reason, it is imperative to develop a mathematical model that describes these vibrations for the purpose of minimizing their consequences during the design. If we consider the structure’s size and complexity, as well as the repetitive nature which characterizing these procedures, an exact reanalysis is a long and expensive option. That being the case, several methods have been developed to help predict a system’s dynamic behavior. In this work, we develop a method of Modal Reanalysis, which is precise, efficient, and useful for both conservative and dissipative structures. This technique can also decrease issues related to these structures, and consider the effects resulting from modal truncation. The originality lies in the structure of the obtained formula, where attention is focused on the contribution of the unknown modes. Such contribution can be either calculable for a finite element model, or identifiable from experiment model tests.

Dissipative structure Finite elementmethod Parametricmodification Reanalysis Static residualmatrix Truncatedmodal basis vibration

Dissipative structure Finite elementmethod Parametricmodification Reanalysis Static residualmatrix Truncatedmodal basis vibration