کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
280802 | 1430384 | 2006 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A method to derive approximate explicit solutions for structural mechanics problems A method to derive approximate explicit solutions for structural mechanics problems](/preview/png/280802.png)
The availability of explicit solutions, i.e. analytical relationships between the structural response and the design variables, allows a more direct and plain treatment of several structural problems. This paper is devoted to derive approximate explicit solutions in the framework of linear static analysis of finite element modeled structures with a given layout (fixed node positions). The proposed procedure is based on a factorization of the element stiffness matrix following the unimodal components concept, which allows a non-conventional assembly of the global stiffness matrix. The exact inversion of that matrix is a trivial task for the case of statically determinate structures, structures with few redundancies or few design variables. An approximate inverse of the stiffness matrix is herein derived for more general structural problems by resorting to the Sherman–Morrison–Woodbury formula.
Journal: International Journal of Solids and Structures - Volume 43, Issues 22–23, November 2006, Pages 7082–7098