Contact problems involving beams

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Kim, Jae Hyung¹  Ahn, Young Ju²  Jang, Yong Hoon¹  Barber, J. R.³ 

[1] Yonsei Univ, Sch Mech Engn, Seoul 120749, South Korea

[2] Hongik Univ, Dept Mech & Design Engn, Sejong Si 339701, South Korea

[3] Univ Michigan, Dept Mech Engn, Ann Arbor, MI 48109 USA

关键词: Contact problems;    Beams;    Plates;    Finite element methods;    Asymptotic methods;   

DOI  :  10.1016/j.ijsolstr.2014.09.013

来源: Elsevier

【 摘 要 】

Elastic contact problems involving Euler Bernoulli beams or Kirchhoff plates generally involve concentrated contact forces. Linear elasticity (e.g. finite element) solutions of the same problems show that finite contact regions are actually developed, but these regions have dimensions that are typically of the order of the beam thickness. Thus if beam theory is appropriate for a given structural problem, the local elasticity fields can be explored by asymptotic methods and will have fairly general (problem independent) characteristics. Here we show that the extent of the contact region is a fixed ratio of the beam thickness which is independent of the concentrated load predicted by the beam theory, and that the distribution of contact pressure in this region has a universal form, which is well approximated by a simple algebraic expression. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free