Thin-walled Rods Research Articles

Remark on the article by P. I. Semenov ?stressed - strained states of thin-walled orthotropic open-section rods? [1

Remark on the article by P. I. Semenov ?stressed - strained states of thin-walled orthotropic open-section rods? [1

Torsion calculation of a thin-walled rod strengthened with strips, allowing for the deformation of the cross-sectional contour

1. In calculating the pure and bending torsion of thin-walled rods of the double-T and channel-bar type, strengthened with strips, it is essential to allow for the influence of local deformations. 2. The torsion of a thin-walled rod of open profile strengthened with strips may be calculated (allowing for the effect of deformation of the cross-sectional contour) by the method of Vlasov after introducing additional terms into the principal coefficients.

Matrix method for calculating space trusses composed of thin-walled rods

Matrix method for calculating space trusses composed of thin-walled rods

Stressed-strained states of thin-walled orthotropic open-section rods

Stressed-strained states of thin-walled orthotropic open-section rods

The dynamic stability of a cylindrical shell reinforced with longitudinal ribs

The dynamic stability of a cylindricaI shell uniformly reinforced with thin-walled rods of open cross section with equal elastic and geometric characteristics is considered. It is assumed that the shell is subjected to a periodic force distributed uniformly over its ends. The problem of stability of the reinforced shell is considered as a contact problem of shell and rod theory, An exact method for solving the infinite system of algebraic equations which usually arise in dynamic problems of reinforced shell theory is proposed. The conventional method which Bolotin developed and extended to shell theory problems is used to determine approximately the prin., cipal instability domains.

Torsion of thin-walled rods with closed cross-sections subject to transient creep

In this work the problem of the in-plane free vibrations (axial and bending) of a Bernoulli–Euler nanobeam using the mixed local/nonlocal Eringen elasticity theory is studied. The natural frequencies of vibration have been analytically obtained solving two uncoupled integro-differential eigenvalue problems, which are properly transformed in differential eigenvalue problems. Different kinds of end supports have been considered, and the influence of both mixture parameter and length scale has been analysed. The results show the softening effect of the Eringen’s nonlocality, which is more pronounced as the local phase fraction decreases.A large number of papers devoted to the dynamics of Bernoulli–Euler beams considering the fully nonlocal Eringen elasticity theory has been previously published. However, as recently stated by Romano, Barretta, Diaco and de Sciarra (2017), the problem is ill-posed in general, and the existence of a solution is an exception, the rule being non-existence. Nevertheless, the presence of a local term in the constitutive equation, leading to the two-phase formulation, renders the problem well-posed. To the best knowledge of the authors, this is the first time an exact solution is presented for a dynamic problem involving structures with constitutive equations corresponding to nonlocal integral Eringen’s elasticity.

ON THE EQUILIBRIUM AND STABILITY OF ELASTIC THIN-WALLED CYLINDERS

In this paper a theory of equilibrium and stability of elastic thin-walled cylinders is proposed. The theory is based on the following assumptions: 1) The cross section of the cylinder is uncleformable. 2) The cylinder is under a system of initial stresses σz0=- P0/F-My0/Ixx x + Mx0/Iyyy. This theory may be regarded as a generalization of V. Z. Vlasoff's theory of stability of thin-walled rods, and includes the theory of Karman-Chien and Adaduroff as a special case. For cases of simply supported cylinders and cantilever cylinders, a method of solution using trigonometric series is proposed which is much simpler than the methods used by Karman-Chien and Adaduroff.