On the FEM Analysis of Higher-Order Shear Deformable Beams: Validation of an Efficient Element

Autor:	Fardad Aala, Rahmat Kazemi Firouzjaei, Rohollah Abbasi Shanbehbazari, Reza Attarnejad
Rok vydání:	2015
Předmět:	Multidisciplinary business.industry Stiffness Structural engineering Finite element method Vibration Shear (geology) Displacement field medicine Force method medicine.symptom business Beam (structure) Mathematics
Zdroj:	Arabian Journal for Science and Engineering. 40:3443-3455
ISSN:	2191-4281 1319-8025
DOI:	10.1007/s13369-015-1814-7
Popis:	Since the accuracy of results obtained through displacement-based finite element method (FEM) considerably depends on the accuracy of shape functions used to interpolate the displacement field within an element, this paper aims at presenting a new efficient element for static and free vibration analysis of higher-order shear deformable beams using FEM with introducing basic displacement functions (BDFs). First, BDFs are introduced and computed. Afterward, new efficient shape functions are developed in terms of BDFs during the procedure based on the mechanical behavior of the element in which presented shape functions benefit generality and accuracy from stiffness and force method, respectively. Finally, deriving structural matrices of the beam with respect to new shape functions, static and free vibration behavior of the higher-order shear deformable beam is studied using FEM. The accuracy and economy of the method are demonstrated through several numerical examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::aa9aadf862a4a5d48e7b799a87c0403e https://doi.org/10.1007/s13369-015-1814-7 Zobrazit plný text záznamu Plný text ve formátu PDF