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

被引:7
|
作者
Garcia-Barruetabena, Jon [1 ]
Cortes, Fernando [2 ]
Manuel Abete, Jose [3 ]
机构
[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; TIME-DOMAIN; SYSTEMS;
D O I
10.1016/j.ijsolstr.2011.11.004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
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.
引用
收藏
页码:590 / 598
页数:9
相关论文
共 50 条
  • [41] Finite element solution for gas-solid reactions: Application to the moving boundary problems
    Ebrahimi, A. Afshar
    Ebrahim, H. Ale
    Hatam, M.
    Jamshidi, E.
    CHEMICAL ENGINEERING JOURNAL, 2008, 144 (01) : 110 - 118
  • [42] A finite element solution of an added mass formulation for coupled fluid-solid vibrations
    Alfredo Bermúdez
    Rodolfo Rodríguez
    Duarte Santamarina
    Numerische Mathematik, 2000, 87 : 201 - 227
  • [43] Least-squares variational principles and the finite element method: theory, formulations, and models for solid and fluid mechanics
    Pontaza, JP
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2005, 41 (7-8) : 703 - 728
  • [44] Application of mixed variational formulations based on the finite element method to the solution of problems on natural vibrations of elastic bodies
    A. Yu. Chirkov
    Strength of Materials, 2008, 40 : 253 - 268
  • [45] Two-node Curved Inverse Finite Element Formulations based on Exact Strain-displacement Solution
    Savino, Pierclaudio
    Tondolo, Francesco
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2023, 9 (01): : 259 - 273
  • [46] APPLICATION OF MIXED VARIATIONAL FORMULATIONS BASED ON THE FINITE ELEMENT METHOD TO THE SOLUTION OF PROBLEMS ON NATURAL VIBRATIONS OF ELASTIC BODIES
    Chirkov, A. Yu.
    STRENGTH OF MATERIALS, 2008, 40 (02) : 253 - 268
  • [47] Eulerian formulation using stabilized finite element method for large deformation solid dynamics
    Okazawa, S.
    Kashiyama, K.
    Kaneko, Y.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 72 (13) : 1544 - 1559
  • [48] Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation
    Nemer, R.
    Larcher, A.
    Coupez, T.
    Hachem, E.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 384 (384)
  • [49] Enhanced 3D solid finite element formulation for rotor dynamics simulation
    Shen, Zihan
    Chouvion, Benjamin
    Thouverez, Fabrice
    Beley, Aline
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2021, 195
  • [50] Unsaturated soil dynamics: Finite element solution including stress-induced anisotropy
    Ghorbani, Javad
    Airey, David W.
    Carter, John P.
    Nazem, Majid
    COMPUTERS AND GEOTECHNICS, 2021, 133