Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams

被引：0
|
作者：
Nazarov S.A. [1 ,2 ,3 ]
Slutskij A.S. [1 ,3 ]
机构：
[1] St. Petersburg State University, St. Petersburg
[2] St. Petersburg State Polytechnical University, St. Petersburg
[3] Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., St. Petersburg
来源：
Journal of Mathematical Sciences | 2016年 / 216卷 / 2期
关键词：
D O I：
10.1007/s10958-016-2901-3
中图分类号：
学科分类号：
摘要：
We propose a one-dimensional asymptotic model of an L-shaped junction of two thin two-dimensional elastic beams subject to boundary conditions of different type at external bean ends. The beams are described by standard systems of the Kirchhoff ordinary differential equations, whereas the transmission conditions on coincident (internal) nodes essentially depend on the type of boundary conditions on the external beam ends. The transmission conditions are obtained by analyzing the boundary layer near internal nodes. The asymptotics is justified with the help of a weighted anisotropic Korn inequality. © 2016, Springer Science+Business Media New York.
引用
收藏
页码：279 / 312
页数：33
相关论文
共 50 条
  • [31] ASYMPTOTIC ANALYSIS FOR FLEXURAL VIBRATIONS OF STRAIGHT ELASTIC BEAMS
    RIGOLOT, A
    [J]. JOURNAL DE MECANIQUE, 1977, 16 (04): : 493 - 529
  • [32] A Modified L-Shaped Method
    J. Abaffy
    E. Allevi
    [J]. Journal of Optimization Theory and Applications, 2004, 123 : 255 - 270
  • [33] THE INSIDIOUS L-SHAPED DISTRIBUTION
    BRADLEY, JV
    [J]. BULLETIN OF THE PSYCHONOMIC SOCIETY, 1982, 20 (02) : 85 - 88
  • [34] L-shaped nipple reconstruction
    Murthy, K. S.
    Chandrashekar, M. V.
    [J]. ANNALS OF THE ROYAL COLLEGE OF SURGEONS OF ENGLAND, 2017, 99 (02) : 178 - 179
  • [35] Germanium-source L-shaped TFET with dual in-line tunneling junction
    Chahardah Cherik, Iman
    Mohammadi, Saeed
    [J]. Applied Physics A: Materials Science and Processing, 2021, 127 (07):
  • [36] Circularly Polarized Broadband Antenna With L-Shaped Probe and L-Shaped Wide-Slot
    Muramoto, Yuichi
    Fukusako, Takeshi
    [J]. 2007 ASIA PACIFIC MICROWAVE CONFERENCE, VOLS 1-5, 2007, : 1568 - 1571
  • [37] Germanium-source L-shaped TFET with dual in-line tunneling junction
    Iman Chahardah Cherik
    Saeed Mohammadi
    [J]. Applied Physics A, 2021, 127
  • [38] A Circularly Polarized L-shaped and rectangular Slot antenna With An L-shaped Probe For Wideband Characteristics
    Nakao, Syuhei
    Joseph, Ronald
    Fukusako, Takeshi
    [J]. 2010 ASIA-PACIFIC MICROWAVE CONFERENCE, 2010, : 734 - 737
  • [39] About a case of ureteropelvic junction obstruction in L-shaped cross-fused kidney
    Jallouli, Walid
    Sellami, Ahmed
    Chaker, Kays
    Bibi, Mokhtar
    Ben Chehida, Mohamed Ali
    Gargouri, Mohamed Mourad
    Abid, Karem
    Ben Rhouma, Sami
    Nouira, Yassine
    [J]. UROLOGY CASE REPORTS, 2018, 20 : 98 - 99
  • [40] Germanium-source L-shaped TFET with dual in-line tunneling junction
    Chahardah Cherik, Iman
    Mohammadi, Saeed
    [J]. APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 2021, 127 (07):
12345