An adaptive differential quadrature element method for large deformation contact problems involving curved beams with a finite number of contact points

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:115

Article

Hu, Yu-Jia¹  Liu, Ming¹  Zhu, Weidong²  Jiang, Cheng³ 

[1] Univ Shanghai Sci & Technol, Sch Mech Engn, Shanghai 200093, Peoples R China

[2] Univ Maryland Baltimore Cty, Dept Mech Engn, 1000 Hilltop Circle, Baltimore, MD 21250 USA

[3] City Univ Hong Kong, Dept Architecture & Civil Engn, Hong Kong, Hong Kong, Peoples R China

关键词: Curved beam;    Large deformation;    Contact points;    ADQEM;    Dragging method;   

DOI  :  10.1016/j.ijsolstr.2017.03.020

来源: Elsevier

【 摘 要 】

Contact problems involving large deformation of curved beams are difficult to analyze due to uncertainty of contact positions and strong nonlinearity. A nonlinear large-deformation model of curved beams is formulated in arc-length coordinates. A new adaptive differential quadrature element method (ADQEM) is proposed to predict contact positions of a curved beam with a finite number of contact points, where a dragging method and continuity conditions are combined to determine the contact positions. Simulation results show that the ADQEM greatly improves efficiency and accuracy of the large deformation contact problem of the curved beam. The number of iterations in the present method does not greatly increase with the number of contact points. (C) 2017 Elsevier Ltd. All rights reserved.

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