Asymptotic analysis of layered elastic beams

被引：2
|
作者：
Serpilli, M [1 ]
机构：
[1] Univ Politecn Marche, Dipartimento Architettura Costruzioni & Strutture, I-60131 Ancona, Italy
来源：
COMPTES RENDUS MECANIQUE | 2005年 / 333卷 / 08期
关键词：
computational solid mechanics; asymptotic analysis; layered beams; bonding;
D O I：
10.1016/j.crme.2005.07.001
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We consider an elastic beam formed by three layers, fixed at one end and loaded at the free end. We call adherents the upper and lower layers Omega(+)(epsilon) and Omega(-)(epsilon) and an adhesive layer Omega(m)(epsilon). We denote by epsilon h(+/-,m) the thickness of each layer and we suppose that the stiffness of the adhesive layer is epsilon(2), with respect to that of the adherents. By an asymptotic analysis we obtain the zeroth order limit problem and the form of the second order displacements.
引用
收藏
页码：593 / 598
页数：6
相关论文
共 50 条
  • [1] The asymptotic analysis of a junction of two elastic beams
    Leugering, G.
    Nazarov, S. A.
    Slutskij, A. S.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2019, 99 (01):
  • [2] ASYMPTOTIC ANALYSIS FOR FLEXURAL VIBRATIONS OF STRAIGHT ELASTIC BEAMS
    RIGOLOT, A
    JOURNAL DE MECANIQUE, 1977, 16 (04): : 493 - 529
  • [3] Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams
    Nazarov S.A.
    Slutskij A.S.
    Journal of Mathematical Sciences, 2016, 216 (2) : 279 - 312
  • [4] Asymptotic decomposition in the problem of joined elastic beams
    Kolpakov, Alexander G.
    Andrianov, Igor V.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2014, 94 (10): : 818 - 836
  • [5] Stability of beams on elastic layered gibson foundation
    Liu, Qi-Jian
    Zhao, Yue-Yu
    Ma, Jian-Jun
    Gongcheng Lixue/Engineering Mechanics, 2009, 26 (02): : 58 - 52
  • [6] Elastic waves in layered periodic curved beams
    Baxy, Ajinkya
    Rajan, A.
    Banerjee, Arnab
    JOURNAL OF SOUND AND VIBRATION, 2021, 512
  • [7] Prestressed Foundation Beams on Elastic Layered Soil
    Stavridis, Leonidas
    GEOTECHNICAL AND GEOLOGICAL ENGINEERING, 2011, 29 (04) : 431 - 442
  • [8] ASYMPTOTIC APPROXIMATIONS IN DYNAMICS OF AN ELASTIC LAYERED INHOMOGENEOUS MEDIUM
    ZAVADSKII, YV
    SOVIET PHYSICS ACOUSTICS-USSR, 1965, 11 (02): : 141 - +
  • [9] Variability analysis of frequency dependent visco-elastic three-layered beams
    Hamdaoui, M.
    Druesne, F.
    Daya, E. M.
    COMPOSITE STRUCTURES, 2015, 131 : 238 - 247
  • [10] DYNAMIC ANALYSIS OF LAYERED BEAMS
    HEINISUO, M
    MALMI, S
    MIETTINEN, A
    PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING, VOLS 1 & 2, 1989, : 29 - 36
12345