Calculation of stresses in the finite elements of deformed constructions

Autor:	V. E. Levin, N. V. Pustovoi
Rok vydání:	2009
Předmět:	Curvilinear coordinates Yield (engineering) Deformation (mechanics) Applied Mathematics Mathematical analysis Bending moment Of the form Geometry Direct integration of a beam Industrial and Manufacturing Engineering Finite element method Mathematics Stiffness matrix
Zdroj:	Journal of Applied and Industrial Mathematics. 3:259-266
ISSN:	1990-4797 1990-4789
DOI:	10.1134/s1990478909020112
Popis:	Under study is the problem of deformation of a curved rod in the form of a circular arc. Using the previously developed version of the functions of the form of a curvilinear finite element, we construct a solution that differs slightly from the exact one with respect to displacements even for few elements; however, the bending moment is calculated with a greater error. As a result of the direct integration of the equations of the problem for this rod, there are constructed some modified functions of the form from which an “exact” stiffness matrix is calculated. These functions yield the construction of the functions of the form with a parameter and the reason is clarified why the calculation of the force factors by differentiation of such functions fails to be exact. Also, we demonstrate a possible nonuniqueness of the obtained results for the stresses under the same errors in the stiffness matrix.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e22ae95c0dff85b4f740040cdd92680b https://doi.org/10.1134/s1990478909020112 Zobrazit plný text záznamu Full text from SpringerLink