Numerical-Analytical Solution of Two-Dimensional Problem for Elastic Radially Inhomogeneous Thick-Walled Cylinder

Article Preview

Abstract:

In the [1,2] was considered method of separating of variables in three-dimensional problem for radially inhomogeneous cylinder. This problem solves in terms of displacements and reduced to infinite system of ordinary differential equations. The paper deals with the partially case – two-dimensional axisymmetric problem of the calculation of thick-walled cylindrical shell loaded by non-uniform load on the outer surface.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

642-647

Citation:

Online since:

April 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] V.I. Andreev, Method for solving a certain class of three-dimensional problems for elastic radially inhomogeneous cylinder, Proceedings of the universities. Constr. Archit. 8 (1985) 28 – 31.

Google Scholar

[2] V.I. Andreev, The Method of Separation of Variables in the Problem of Theory of Elasticity for Radially Inhomogeneous Cylinder, submitted to Appl. Mech. Mater. (AMM) (2015).

DOI: 10.4028/www.scientific.net/amm.752-753.593

Google Scholar

[3] L.N.G. Filon, On the elastic Equilibrium of Circular Cylinders under Certain Practical Systems of Load, Phil. T. Royal Soc. London, Ser. A. 198 (4) (1902) 147-233.

DOI: 10.1098/rsta.1902.0004

Google Scholar

[4] V.I. Andreev and N.Y. Cybin, Generalization of Michel's solution of plane problem theory of elasticity in polar coordinates in the event of a radially inhomogeneous body, WIT T. Model. Simulat. 57 (2014) 215-227.

DOI: 10.2495/be370181

Google Scholar

[5] V.I. Andreev, About one method of solving of plane problem of the theory of elasticity for radial inhomogeneous body, Appl. Mech. (Kiev), 23 (4) (1987) 16-23.

Google Scholar

[6] V.I. Andreev and I.A. Dubrovskiy, Stress state of hemispherical shell in the frontal movement of the radiation field, Appl. Mech. Mater. 405-408 (2013) 1073-1076.

DOI: 10.4028/www.scientific.net/amm.405-408.1073

Google Scholar

[7] V.I. Andreev and A.S. Avershyev, Stationary Problem of Moisture-elasticity for Inhomogeneous thick-walled Shells, Adv. Mater. Res. 671-674 (2013) 571-575.

DOI: 10.4028/www.scientific.net/amr.671-674.571

Google Scholar

[8] V.I. Andreev and A.S. Avershyev, Nonstationary problem moisture elasticity for nonhomogeneous hollow thick - walled cylinder, T. Int. Conf. Fluid Struct. Interact. WITpress, (2013) 123-132.

DOI: 10.2495/fsi130111

Google Scholar

[9] V.I. Andreev, Optimization of thick-walled shells based on solutions of inverse problems of the elastic theory for inhomogeneous bodies. Computer Aided Optimum Design in Engineering XII, WIT Press, (2012) 189-201.

DOI: 10.2495/op120171

Google Scholar

[10] L.U. Stupishin, and A.G. Kolesnikov, Geometric Nonlinear Orthotropic Shallow Shells Investigation, Appl. Mech. Mater. 501-504 (2014) 766-769.

DOI: 10.4028/www.scientific.net/amm.501-504.766

Google Scholar

[11] L.U. Stupishin, and A.G. Kolesnikov, Geometric Nonlinear Shallow Shells for Variable Thickness Investigation, Adv. Mater. Res. 919-921 (2014) 144-147.

DOI: 10.4028/www.scientific.net/amr.919-921.144

Google Scholar