Three Dimensional Analysis of Sequential Quasi Isotropic Composite Disc for Rotating Machine Application
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:61492", author = "Amin Almasi", title = "Three Dimensional Analysis of Sequential Quasi Isotropic Composite Disc for Rotating Machine Application", 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.", volume = "3", number = "7", pages = "825-4", }