Three Dimensional Analysis of Sequential Quasi Isotropic Composite Disc for Rotating Machine Application

Authors: Amin Almasi

Abstract:

Composite laminates are relatively weak in out of plane loading, inter-laminar stress, stress concentration near the edge and stress singularities. This paper develops a new analytical formulation for laminated composite rotating disc fabricated from symmetric sequential quasi isotropic layers to predict three dimensional stress and deformation. This analysis is necessary to evaluate mechanical integrity of fiber reinforced multi-layer laminates used for high speed rotating applications such as high speed impellers. Three dimensional governing equations are written for rotating composite disc. Explicit solution is obtained with "Frobenius" expansion series. Based on analytical results, there are two separate zones of three dimensional stress fields in centre and edge of rotating disc. For thin discs, out of plane deformations and stresses are small in comparison with plane ones. For relatively thick discs deformation and stress fields are three dimensional.

Keywords: Composite Disc, Rotating Machine.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079254

References:

[1] M. W. Hyer, "Stress Analysis of Fiber- Reinforced Composite Materials", Mc GrawHill, 1998.
[2] S. W. Tsai and H. T. Hahn, "Introduction to Composite Materials", Technomic Publishing Co. Inc., 1980.
[3] V. P. Revenko, "Three Dimensional Stress Sate of an Orthotropic Rectangular Prism under a Transvers Force Applied at its End", Int. Appl. Mech., Vol. 41, No. 4, pp. 367-373, 2005.
[4] C. Mittelstedt and W. Becker, "Interlaminar Stress Concentration in Layered Structure Part I - A Selective Literature Survey on the Free Edge Effects Since 1967", J. Comp. Materials, Vol. 38, No. 12, pp. 1037-1062, 2004.
[5] C. Mittelstedt and W. Becker, "Interlaminar Stress Concentration in Layered Structure Part II - Closed Form Analysis of Stress at Laminated Rectangular Wedges with Arbitrary Non-orthotropic Layup", J. Comp. Materials, Vol. 38, No. 12, pp. 1063-1090, 2004.
[6] S. E. Mikhailov and I. V. Namestnikova, "Stress Singularity Analysis in Space Juncation of Thin Plates", J. Eng. Math., 37, pp.327-341, 2000.
[7] Yu. V. Kokhanenco and V. M. Bystrov, "Edge Effects in a Laminated Composite with Longitudinally Compressed Laminas", Int. Appl. Mech., Vol.42, No. 8, pp. 922-927, 2006.
[8] V. M. Bystrov and Yu. V. Kokhanenco, "Edge Effect in a Fibrous Composite with Near Surface Fibers Subjected to Uniform Loading", Int. Appl. Mech., Vol.43, No. 11, pp. 1195-1201, 2007.
[9] A. Soyucok and Z. Soyucok, "Stress Distributed in Multilayered Composites Near Loading Edges", Int. Appl. Mech. Vol. 44, No. 4, pp. 471-480, 2008.
[10] Yu. V. Kokhanenco, "Numerical Solution to the Buckling Problem for Sandwich Plate under Uniaxial Compression", Int. Appl. Mech., Vol. 42, No. 9, pp. 1045-1051, 2006.
[11] S. J. Farlow, "Partial Differential Equations for Scientists and Engineers", Dover Books, 1993.
[12] E. A. Coddington, "An Introduction to Ordinery Differential Equations", Dover Books, 1995.