Torsion and circular shear coupling in nonlinear-elastic hollow cylinder

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Resumo

Combined torsional and circular shear of an incompressible nonlinear-elastic right-circular hollow cylinder is studied. A solution to the problem is obtained for an arbitrary elastic potential depending on the first invariant of the left Cauchy – Green deformation tensor solely (generalized neo-Hookean solid). For the Gent material, an analytical solution in closed form is obtained. A rotary damper design based on the obtained solution is proposed. Formulas for the dissipation of kinetic energy due to friction on the cylindrical surfaces of the pipe are given. For a strain softening material, a numerical solution is obtained, which is compared with experimental results.

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Sobre autores

G. Sevastyanov

Institute of Machinery and Metallurgy FEB RAS

Autor responsável pela correspondência
Email: akela.86@mail.ru
Rússia, Komsomolsk-on-Amur

O. Komarov

Institute of Machinery and Metallurgy FEB RAS

Email: olegnikolaevitsch@rambler.ru
Rússia, Komsomolsk-on-Amur

A. Popov

Institute of Machinery and Metallurgy FEB RAS

Email: popov.av@live.com
Rússia, Komsomolsk-on-Amur

Bibliografia

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2. Fig. 1. Loading scheme of the deformable element of the damper.

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3. Fig. 2. Design of the rotary damper with friction: 1 – central sleeve, 2 – outer cage, 3 – elastic element, 4 – grippers.

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4. Fig. 3. Structural elements of a rotary damper with friction: 1 – central sleeve, 2 – outer cage, 3 – elastic element, 4 – grippers.

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5. Fig. 4. Simple tension, s11 in MPa. The markers are experimental data for polyurethane A83 (engineering stresses). The Ghent model with parameters E = 3m = 17 MPa, Jm = 16 (data for polyurethane A90 according to [21]). Model (3.2) with parameters E0 = 17 MPa, E1 = 1 MPa, b = 0.29, I1a – 3 = 0.107.

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6. Fig. 5. Torque M [N · m] when loading the rotary damper with the angle of rotation a (in degrees). Markers are experimental data. The solid line is a numerical and analytical calculation based on the elastic model (3.2). The dotted line is an analytical calculation for the Gent material with parameters E = 3m = 17 MPa, Jm = 16.

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