Procedia Engineering 113 ( 2015 ) 270 – 275

1877-7058 © 2015 Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Peer-review under responsibility of the Omsk State Technical Universitydoi: 10.1016/j.proeng.2015.07.264

ScienceDirectAvailable online at www.sciencedirect.com

International Conference on Oil and Gas Engineering, OGE-2015

Flat shell stress-strain state calculation

Korneev S.A.a*, Korneev V.S.a, V.A. Ilyichev V.A.a, Vaskova M.V.a aOmsk State Technical University, 11, Mira Pr., Omsk 644050, Russian Federation

Abstract

The numerical study using finite element method of flat shell H-327stress-strain state was carried out in this paper. The possibility of reinforced flat shells modeling with overlapping cord threads with plane finite elements was presented. The shell elements calculation was carried out to obtain data on equivalent elastic properties of the rubber-cord composite. © 2015 The Authors. Published by Elsevier Ltd. Peer-review under responsibility of the Omsk State Technical University.

Keywords: the shell; composite; coupling; rubberkord; Ansys.

1. Introduction

Couplings included in the drive of different machines and mechanisms are crucial nodes, they often determine the reliability and durability of the whole machine.

Highly elastic couplings with rubber-cord shells if compared to the traditionally used cam finger and flexible couplings provide compensation in the operation of significant misalignment of the shafts and all kinds of damping vibrations.

Couplings with toroidal shells are widely used in industry and they have a number of drawbacks, the main is significant axial loads on shafts due to centrifugal force, relatively large diameter, low load capacity and limited speed.

* Corresponding author. Tel.: +7904-584-03-07.

E-mail address: 79045840307@ya.ru

© 2015 Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Peer-review under responsibility of the Omsk State Technical University

271 S.A. Korneev et al. / Procedia Engineering 113 ( 2015 ) 270 – 275

2. Study subject

In particular, the example of rubber-cord coupling (RCC) is highly elastic coupling with rubber-cord unit (a disc, a plate, a shell) model H-327 (Fig.1) used in traction drives, diesel and electric locomotives EP1, EP10 [1]. Rubber-coupling element is in the form of a plate with a 14 mm working area and its thickness of two sides (external and internal) is 22 mm (Fig.2). Layers of cord brand 23KNTS [2], are symmetrically arranged relative to the radius of the plate and they have two directions. The number of cord layers in one direction is 5. Cords are substantially rectilinear; they form an acute angle with the radius, its value decreases from the inner diameter to the outer diameter of the plate.

Fig. 1. Rubber-cord shell model H-327 of highly elastic couplings : nominal torque is 11768 Hm; maximum torque is 35.304 Hm.

Fig. 2. Arrangement of cords threads in the shell.

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The design of rubber-cord disc with intersecting adjacent layers of cords is at 15° angle from the inner to the outer diameter of the disc, and method of assembling the rubber-cord disc is protected by the Russian Federation patents.

3. Methods

In order to determine the stress-strain state of loaded coupling let us determine the numerical [3] equivalent elastic moduli among the Ansys. The model of the square element reinforced with a parallel arrangement of the cord (Fig.3) is stipulated with load in normal and tangential directions (Fig.4)

Fig. 3. The cut material volume coupling we close with cord with 0° angle.

Fig. 4. The load scheme and the sample deformation.

The results (Fig.4) help to obtain the corresponding equivalent tensile modulus and shear (Table 1).

Table 1. Equivalent elastic modules of the coupling, Pa.

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E1 E2 E3 G12 G13 G32

Coupling shell model is represented in Fig.5. Composite foundation is laid at 15° angle (Fig.6). To create behaviors of flat rubber-cord shell H-327, with loaded moment and to determine the value of layers deformation one will use the package Ansys Composite PrepPost. Since Ansys Composite PrepPost settles exclusively in the shells, it primarily creates a flat cut-out fabric cord corresponding to the geometrical dimensions of the tested halfcoupling. The elastic properties of the material are determined according to Table 1, and the direction of environment properties is considered to be the direction that diverges radially from the center of the shell (Fig.6).

Fig. 5. The finite element specimen grating of the shell: a is model of the shell; b is a model of one layer of the composite.

Fig. 6. Directional finite element specimen grating.

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The integration of the resulting composite model is with StaticStructural Ansys solver allows to obtain the

dependence of the torque on the angle coupling (Fig.7, Fig.8).

Fig. 7. The results of the shell calculation: 1 is a loading scheme; 2 is deformation of the shell; 3 is stresses in the shell.

4. Results and discussion

Fig. 8. Dependence of the torque from the steering angle couplings.

Based on the data (Fig. 8b) the error between the experimental results and the results of the numerical model is

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.

5. Conclusion

The results of this study show a slight deviation calculation results from the experimental data, but they require some refinement. This procedure can be used in flat shells calculations made from anisotropic materials.

References

[1] The elastomeric couplings, FSUE "RPC" Progress "," Prospect. - URL: http://www.progress-omsk.ru/constructor.php?act=group2 (the date of circulation: 11.20.2014).

[2] GOST 24221-94. Fabric nylon cord. Technical conditions. - Minsk: The Interstate Council for Standardization, Metrology and Certification, 1996. - 16 p.

[3] Experimental and Numerical Investigations of mode I delamination behaviors of woven fabric Composites with carbon, Kevlar and hybrid Their Fibers / Seung-Chul Kim, Jung Seok Kim, Hyuk-Jin Yoon / Journal: International Journal of Precision Engineering and Manufacturing - INT J PRECIS ENG manuf , VOL. 12, no. 2, pp. 321-329, 2011