Stresses in constant tapered beams with thin-walled rectangular and circular cross sections
نویسندگان
چکیده
منابع مشابه
Thin-walled beams: the case of the rectangular cross-section
In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Ωε = ωε × (0, l) with rectangular cross-section ωε of sides ε and ε 2, as ε goes to zero. Under suitable assumptions on the given loads, we show that the threedimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and...
متن کاملAnisotropic Inhomogeneous Rectangular Thin-Walled Beams
This paper is devoted to the asymptotic analysis of the problem of linear elasticity for an anisotropic and inhomogeneous body occupying, in its reference configuration, a cylindrical domain with a rectangular cross section with sides proportional to ε and ε and clamped on one of its bases. The sequence of solutions u of the equilibrium problem is shown to converge in an appropriate topology, a...
متن کاملLinear Models for Composite Thin-Walled Beams by Γ-Convergence. Part I: Open Cross Sections
We consider a beam whose cross-section is a tubular neighborhood, with thickness scaling with a parameter δε, of a simple curve γ whose length scales with ε. To model a thin-walled beam we assume that δε goes to zero faster than ε, and we measure the rate of convergence by a slenderness parameter s which is the ratio between ε2 and δε. In this Part I of the work we focus on the case where the c...
متن کاملLinear Models for Composite Thin-Walled Beams by Γ-Convergence. Part II: Closed Cross-Sections
We consider a beam whose cross-section is a tubular neighborhood of a simple closed curve γ. We assume that the wall thickness, i.e., the size of the neighborhood, scales with a parameter δε while the length of γ scales with ε. We characterize a thin-walled beam by assuming that δε goes to zero faster than ε. Starting from the three dimensional linear theory of elasticity, by letting ε go to ze...
متن کاملAn improved model for naturally curved and twisted composite beams with closed thin-walled sections
This paper presents an improved model for naturally curved and twisted anisotropic beams with closed thin-walled cross-sections. By introducing eigenwarping functions and expanding axial displacements in series of eigenwarpings, the differential equation involving the generalized warping coordinate and the expression for eigenvalues can be derived using the principle of minimum potential energy...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Thin-Walled Structures
سال: 2019
ISSN: 0263-8231
DOI: 10.1016/j.tws.2019.01.008