Recent developments in geometrically nonlinear and postbuckling analysis of framed structures
學年 91
學期 2
出版（發表）日期 2003-07-01
作品名稱 Recent developments in geometrically nonlinear and postbuckling analysis of framed structures
作品名稱（其他語言）
著者 Yang, Yeong-Bin; Yau,Jong-Dar; Leu, Liang-Jenq
單位 淡江大學建築技術系
出版者 Fairfield: ASME International
著錄名稱、卷期、頁數 Applied Mechanics Reviews 56(4), pp.431-449
摘要 Geometric nonlinear analysis of structures is not a simple extension from its counterpart of linear analysis. In this article, some research works conducted primarily in the past two decades on the geometric nonlinear analysis of framed structures that are readily available to the authors, including, in particular, those conducted by the senior author and coworkers, will be briefly reviewed. To highlight the key features of geometric nonlinear analysis, each of the papers cited will be reviewed according to one or more of the following categories: a) analytical or semi-analytical works, b) formulation of incremental nonlinear theory, c) discrete vs connected element and procedure of assembly, d) joint equilibrium conditions in the deformed configuration, e) rigid body test for nonlinear finite elements, f) key phases in incremental-iterative analysis, g) force recovery procedure, h) strategy for incremental-iterative approaches, i) rigid body-qualified geometric stiffness matrix, j) formulation and simulation for curved beam problems, k) special considerations for truss structures, and l) other related considerations. Throughout this article, emphasis will be placed on the theories and procedures leading to solution of the load-deflection response of structures, which may involve multi-looping curves in the postbuckling range. In fact, a nonlinear analysis using incremental-iterative schemes need not be as complicated as we think. If due account can be taken of the rigid body behaviors at each stage, then the whole process of incremental-iterative analysis can be made simpler and more efficient. Even when the postbuckling behavior of structures is of concern, the use of an accurate elastic stiffness matrix plus a rigid-body-qualified geometric stiffness matrix can always yield satisfactory results. There are 122 references cited in this review article.
關鍵字 Curved beam;force recovery;general stiffness parameter;geometric nonlinear analysis;incremental-iterative schemes;postbuckling response;stiffness matrix;rigid body test;truss
語言 en
ISSN 0003-6900
期刊性質 國外
收錄於
產學合作
通訊作者 Yang, Yeong-Bin
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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