The quadratic finite element/strip with generalized degrees of freedom and their application

✍ Scribed by Q.S. Li; L.F. Yang; G.Q. Li

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 153 KB
• Volume: 37
• Category: Article
• ISSN: 0168-874X
• DOI: 10.1016/s0168-874x(00)00046-9

✦ Synopsis

This paper presents a quadratic "nite element with generalized degrees of freedom (GDOF) and a quadratic "nite strip with GDOF based on the principle that the local displacement "elds of elements should be compatible with the global displacement "eld of the corresponding systems. Firstly, a global displacement "eld is developed using quadratic B-spline functions. Secondly, local displacement "elds of elements and strips are constructed, employing multi-term interpolation polynomials of second degree. Making the local displacement "elds of elements and strips be compatible with their corresponding global displacement "elds, respectively, models of the "nite element with GDOF and the "nite strip with GDOF are accordingly generated. On the other hand, the quadratic B-spline function is convenient to derive the explicit form of characteristic equations for computing model because of its lower order, and accordingly simpli"es the computation, compared with cubic and quintic spline functions. Several numerical examples demonstrate the accuracy, simplicity and versatility of the present element and strip in the analysis of thin-walled structures.