The Deformation of a Thin, Incomplete, Elastic Ring in a Frictional Channel

1981 ◽  
Vol 48 (4) ◽  
pp. 895-899 ◽  
Author(s):  
R. C. Benson
Keyword(s):  
Nonlinear Theory ◽  
Elastic Ring ◽  
Channel Geometry ◽  
Plain Paper

The deformation of a thin, incomplete, elastic ring being pushed through a frictional channel is analyzed. The problem is formulated using the nonlinear theory of the elastica and it is found that, depending on the channel geometry, either two deformed shapes for the ring are possible, or else no solution is possible. The results are applied to the design of machines such as plain-paper copiers, self-threading tapes, and sewing machines.

Experimental and numerical investigations on novel models for mechanical behaviors of the elastic ring in aero-engine

2021 ◽  
pp. 095440622110130
Author(s):  
Zhong Luo ◽  
Lei Li ◽  
Yang Yang ◽  
Xiaojie Hou ◽  
Jiaxi Liu ◽  
...  
Keyword(s):  
3D Model ◽  
Maximum Stress ◽  
Simple Structure ◽  
Experimental Testing ◽  
Axial Direction ◽  
Elastic Ring ◽  
Load Range ◽  
Aero Engine ◽  
Stiffness Characteristics ◽  
First Time

The elastic ring is widely used in elastic support structures of aero-engine because of its simple structure and convenient manufacturing. In this paper, two elastic ring models, 3D and 2D models, are proposed, where the fillets between the bulges and ring are considered. The 2D model is more efficient for the calculation of stiffness characteristics. The 3D model can be used to obtain the maximum stress position in the axial direction. Then the experimental testing is carried out to verify the accuracy and effectiveness of the proposed models. Based on the proposed models, the stiffness nonlinearity and critical load of the elastic ring are found for the first time, which can be used to determine the normal working load range. Moreover, the elastic ring models with and without fillets are developed, and the effect of the fillets on stress is discussed. The results show that the stress is reduced by considering the fillets, which are not considered in the existing literature.

A nonlinear theory for CFRP strengthened aluminum beam

2015 ◽  
Vol 131 ◽  
pp. 574-577 ◽  
Author(s):  
Fanmao Meng ◽  
Wanxin Li ◽  
Hualin Fan ◽  
Yinzhi Zhou
Keyword(s):  
Nonlinear Theory ◽  
Aluminum Beam

scholarly journals Spherically Symmetric Tensor Fields and Their Application in Nonlinear Theory of Dislocations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 830
Author(s):  
Evgeniya V. Goloveshkina ◽  
Leonid M. Zubov
Keyword(s):  
Nonlinear Theory ◽  
Hollow Sphere ◽  
Tensor Field ◽  
Exact Analytical Solution ◽  
Symmetric Tensor ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Tensor Fields ◽  
Spherically Symmetric Distribution ◽  
Nonlinear Elastic

The concept of a spherically symmetric second-rank tensor field is formulated. A general representation of such a tensor field is derived. Results related to tensor analysis of spherically symmetric fields and their geometric properties are presented. Using these results, a formulation of the spherically symmetric problem of the nonlinear theory of dislocations is given. For an isotropic nonlinear elastic material with an arbitrary spherically symmetric distribution of dislocations, this problem is reduced to a nonlinear boundary value problem for a system of ordinary differential equations. In the case of an incompressible isotropic material and a spherically symmetric distribution of screw dislocations in the radial direction, an exact analytical solution is found for the equilibrium of a hollow sphere loaded from the outside and from the inside by hydrostatic pressures. This solution is suitable for any models of an isotropic incompressible body, i. e., universal in the specified class of materials. Based on the obtained solution, numerical calculations on the effect of dislocations on the stress state of an elastic hollow sphere at large deformations are carried out.

Channel Geometry Scaling Effect in Printed Inorganic Electrolyte-Gated Transistors

2021 ◽  
pp. 1-6
Author(s):  
Farhan Rasheed ◽  
Manuel Rommel ◽  
Gabriel Cadilha Marques ◽  
Wolfgang Wenzel ◽  
Mehdi B. Tahoori ◽  
...  
Keyword(s):  
Scaling Effect ◽  
Channel Geometry ◽  
Inorganic Electrolyte
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