Dynamics of an exponentially damped solid rod: Analytic solution and finite element formulations

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Garcia-Barruetabena, Jon¹  Cortes, Fernando²  Manuel Abete, Jose³ 

[1] Ikerlan IK4, Dept Mech Engn, Arrasate Mondragon 20500, Spain

[2] Univ Deusto, Deusto Inst Technol DeustoTech, Fac Engn, Bilbao 48007, Spain

[3] Mondragon Unibertsitatea, Dept Mech Engn, Arrasate Mondragon 20500, Spain

关键词: Exponential damping;    Solid standard material model;    Transient response;    Modal analysis;    Direct integration;   

DOI  :  10.1016/j.ijsolstr.2011.11.004

来源: Elsevier

【 摘 要 】

This paper presents the analytic solution together with two finite element formulations to obtain the dynamic response of an exponentially damped solid rod. The analysis is carried out in time domain, the material being modeled by the standard linear viscoelastic solid model. On the one hand, the analytic solution is reached by means of modal superposition by two different ways: with and without internal variables. On the other hand, two different finite element formulations are proposed: the first one is conceived for direct integration methods, and the other one is developed to apply modal superposition. The interest of modal superposition method lies on investigating the influence of non-viscous modes. (C) 2011 Elsevier Ltd. All rights reserved.

【 授权许可】

Free