Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
NUMERICAL EVALUATION OF ITERATIVE METHODS FOR CALCULATING FREQUENCY RESPONSE FUNCTIONS OF DYNAMIC STRUCTURES COMPOSED OF VISCOELASTIC MATERIALS.
Submission Author:
Luiz Otavio Rigobello Muraro , PR , Brazil
Co-Authors:
Luiz Otavio Rigobello Muraro, SANDMARA LANHI, Jucélio Tomás Pereira, Simone de Fátima Tomazzoni Goncalves
Presenter: Luiz Otavio Rigobello Muraro
doi://10.26678/ABCM.COBEM2023.COB2023-1604
Abstract
In the passive vibration control, the use of viscoelastic materials (VEM) is well-known. This is mainly due to their high capacity for dissipating vibratory energy. Therefore, understanding the dynamic behavior of structures composed of VEM is fundamental. To do so, it is necessary to obtain the frequency response functions (FRFs) of the structure. However, dynamic analyses of this type of structure involve frequency-dependent parameters and this makes the formulations computationally expensive when used in systems with many degrees of freedom. In this context, the objective of this study is to numerically evaluate different iterative methods, based on krilov subspace, for the solution of complex linear systems for calculating FRFs of dynamic structures composed of viscoelastic materials and with a high number of degrees of freedom. For this purpose, a bar composed of VEM and metallic material will be discretized via finite element method (FEM) into one-dimensional elements. With this structure, the FRFs will be evaluated numerically using the direct method (reference method) and two iterative methods (Minimun Residual and Symmetric LQ) and then compared with a modal truncation method. The processing times and a graphical analysis of the convergence of the methods were presented.
Keywords
elastomer, Passive Vibration Control, Finite Element Method, Krylov subspace
