Stability of a compressed nonlocally viscoelastic beam lying on an elastic base

被引：0
|
作者：
V. D. Potapov
机构：
[1] Moscow State University of Railway Engineering,
来源：
Mechanics of Solids | 2016年 / 51卷
关键词：
nonlocal viscoelasticity; beam; elastic basement; stability in the sense of Lyapunov;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper deals with the stability of an infinitely long beam lying on a solid elastic base and subjected to a constant or time-periodically varying longitudinal force. The beam material is characterized by nonlocally viscoelastic properties. Stability is understood as asymptotic stability in the sense of Lyapunov. The influence of the loading parameters and the parameters characterizing the nonlocal viscoelastic properties of the beam material on buckling and stability is analyzed. Stability is analyzed by using the maximum Lyapunov exponent.
引用
收藏
页码：75 / 80
页数：5
相关论文
共 50 条
  • [31] Deformation and vibration of compressed, nested, elastic rings on rigid base
    Virgin, Lawrence N.
    Giliberto, Joe V.
    Plaut, Raymond H.
    THIN-WALLED STRUCTURES, 2018, 132 : 167 - 175
  • [32] The Stability in Two Measures of Axially Compressed Elastic Cylinders
    Ya. I. Burak
    P. P. Domanskii
    R. V. Ardan
    International Applied Mechanics, 2000, 36 : 1052 - 1059
  • [33] Stability of a compressed elastic plate with nonlinear supporting elements
    Georgievskii, D.V.
    Dynamics and Stability of Systems, 1993, 8 (04): : 259 - 272
  • [34] The stability in two measures of axially compressed elastic cylinders
    Burak, YI
    Domanskii, PP
    Ardan, RV
    INTERNATIONAL APPLIED MECHANICS, 2000, 36 (08) : 1052 - 1059
  • [35] On the stability of discrete models of compressed beams in elastic media
    De Angelis, Fabio
    MECHANICAL ENGINEERING AND MATERIALS, PTS 1-3, 2012, 152-154 : 982 - 989
  • [36] STABILITY OF A COMPRESSED ELASTIC LAYER WEAKENED BY A CIRCULAR CRACK
    FILIPPOVA, LM
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1988, 52 (02): : 257 - 260
  • [37] Experimental measurement of compressional damping in an elastic-viscoelastic-elastic sandwich beam
    Sisemore, Carl L.
    Smaili, Ahmad A.
    Darvennes, Corinne M.
    American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA, 1999, 26 : 223 - 227
  • [38] Drying induced stresses estimated on the base of elastic and viscoelastic models
    Banaszak, J
    Kowalski, SJ
    CHEMICAL ENGINEERING JOURNAL, 2002, 86 (1-2) : 139 - 143
  • [39] Bending of multilayer beam slabs lying on an elastic half-space
    Mirsaidov, M. M.
    Vatin, N. I.
    Mamasoliev, K.
    MAGAZINE OF CIVIL ENGINEERING, 2024, 17 (06):
  • [40] FLEXURAL WAVE PROPAGATION IN A PHONONIC CRYSTAL BEAM LYING ON AN ELASTIC FOUNDATION
    Wu, Yunlong
    Lou, Jia
    2022 16TH SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES, AND DEVICE APPLICATIONS, SPAWDA, 2022, : 473 - 479
12345