Design of linkage mechanisms of partially rigid frames using limit analysis with quadratic yield functions

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:88-89

Article

Ohsaki, Makoto¹  Tsuda, Seita²  Miyazu, Yuji³ 

[1] Kyoto Univ, Dept Architecture & Architectural Engn, Nishikyo Ku, Kyoto 6158540, Japan

[2] Okayama Prefectural Univ, Dept Design & Technol, 111 Kuboki, Soja 7191197, Japan

[3] Hiroshima Univ, Dept Architecture, 1-4-1 Kagamiyama, Higashihiroshima 7398527, Japan

关键词: Linkage mechanism;    Quadratic programming problem;    Plastic limit analysis;    Overconstrained mechanism;    Optimality conditions;   

DOI  :  10.1016/j.ijsolstr.2016.03.023

来源: Elsevier

【 摘 要 】

A method is presented for generating linkage mechanisms consisting of frame members. A quadratic programming problem is solved to obtain an infinitesimal mechanism allowing a hinge rotating about an axis in arbitrarily inclined direction. The problem is equivalent to a plastic limit analysis problem with quadratic yield functions with respect to member-end moments and axial force. The directions of hinges are obtained from the ratios of member-end moments along the local axes. A finite mechanism is generated by carrying out geometrically nonlinear analysis and adding hinges, if necessary. Effectiveness of the proposed method is demonstrated through examples of 3-dimensional mechanisms. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free