Comparative Analysis of Vibration between Laminated Composite Plates with and without Holes under Compressive Loads
In this study, a vibration analysis was carried out of
symmetric angle-ply laminated composite plates with and without
square hole when subjected to compressive loads, numerically. A
buckling analysis is also performed to determine the buckling load of
laminated plates. For each fibre orientation, the compression load is
taken equal to 50% of the corresponding buckling load. In the
analysis, finite element method (FEM) was applied to perform
parametric studies, the effects of degree of orthotropy and stacking
sequence upon the fundamental frequencies and buckling loads are
discussed. The results show that the presence of a constant
compressive load tends to reduce uniformly the natural frequencies
for materials which have a low degree of orthotropy. However, this
reduction becomes non-uniform for materials with a higher degree of
orthotropy.
[1] J.M. Berthelot, Composite materials mechanical behavior and structural
analysis. New York, Springer, 1999.
[2] R.M. Jones, Mechanics of composite material, Taylor and Francis, 1999.
[3] R.F. Gibson, Principals of composite material mechanics. Mc Graw-
Hill, 1994.
[4] J.N. Reddy, Mechanics of laminated composite plates; theory and
analysis. CRC Press, 1997.
[5] C.T. Herakovich and Y.M. Tarnopolskii, Handbook of composites,
Structures and design. vol. 2, Amsterdam, North-Holland, 1989.
[6] A.W. Leissa, "Buckling of laminated composite plates and shells
panels," Air Force Wright-Patterson Aeronautical Laboratories, Final
report, No. AFWAL-TR-85-3069, 1985.
[7] P. Paramasivam, "Free vibration of square plates with square openings,"
Journal of Sound and Vibration, vol. 30, no. 2, pp. 173-178, 1973.
[8] G. Aksu and R. Ali, "Determination of dynamic characteristics of
rectangular plates with cutouts using a finite difference formulation,"
Journal of Sound and Vibration, vol. 44, no. 1, pp. 147-158, 1976.
[9] A. Rajamani and R. Prabhakaran, "Dynamic response of composite
plates with cutouts, Part I: Simply-supported plates," Journal of Sound
and Vibration, vol. 54, no. 4, pp. 549-564, 1977.
[10] A. Rajamani and R. Prabhakaran, "Dynamic response of composite
plates with cutouts, Part II: Clamped-clamped plates," Journal of Sound
and Vibration, vol. 54, no. 4, pp. 565-576, 1977.
[11] H.P. Lee and S.P. Lim, "Free vibration of isotropic and orthotropic
square plates with square cutouts subjected to in-plane forces,"
Computers and Structures, vol. 43, no. 3, pp. 431-437, 1992.
[12] A.B. Sabir and G.T. Davies, "Natural frequencies of plates with square
holes when subjected to in-plane uniaxial, biaxial or shear loading,"
Thin-Walled Structures, vol. 28, no. 3-4, pp. 321-335, 1997.
[13] S.A.M. Ghannadpour, A. Najafi and B. Mohammadi, "On the buckling
behavior of cross-ply laminated composite plates due to
circular/elliptical cutouts," Composite Structures, vol. 75, no. 1-4, pp. 3-
6, 2006.
[14] C.W. Kong, C.S. Hong and C.G. Kim, "Postbuckling strength of
composite plate with a hole," Journal of Reinforced Plastics and
Composites, vol. 20, no. 6, pp. 466-481, 2001.
[15] ANSYS Procedures, Engineering analysis system verification manual,
vol. 1, Houston, PA, USA: Swanson Analysis System Inc, 1993.
[1] J.M. Berthelot, Composite materials mechanical behavior and structural
analysis. New York, Springer, 1999.
[2] R.M. Jones, Mechanics of composite material, Taylor and Francis, 1999.
[3] R.F. Gibson, Principals of composite material mechanics. Mc Graw-
Hill, 1994.
[4] J.N. Reddy, Mechanics of laminated composite plates; theory and
analysis. CRC Press, 1997.
[5] C.T. Herakovich and Y.M. Tarnopolskii, Handbook of composites,
Structures and design. vol. 2, Amsterdam, North-Holland, 1989.
[6] A.W. Leissa, "Buckling of laminated composite plates and shells
panels," Air Force Wright-Patterson Aeronautical Laboratories, Final
report, No. AFWAL-TR-85-3069, 1985.
[7] P. Paramasivam, "Free vibration of square plates with square openings,"
Journal of Sound and Vibration, vol. 30, no. 2, pp. 173-178, 1973.
[8] G. Aksu and R. Ali, "Determination of dynamic characteristics of
rectangular plates with cutouts using a finite difference formulation,"
Journal of Sound and Vibration, vol. 44, no. 1, pp. 147-158, 1976.
[9] A. Rajamani and R. Prabhakaran, "Dynamic response of composite
plates with cutouts, Part I: Simply-supported plates," Journal of Sound
and Vibration, vol. 54, no. 4, pp. 549-564, 1977.
[10] A. Rajamani and R. Prabhakaran, "Dynamic response of composite
plates with cutouts, Part II: Clamped-clamped plates," Journal of Sound
and Vibration, vol. 54, no. 4, pp. 565-576, 1977.
[11] H.P. Lee and S.P. Lim, "Free vibration of isotropic and orthotropic
square plates with square cutouts subjected to in-plane forces,"
Computers and Structures, vol. 43, no. 3, pp. 431-437, 1992.
[12] A.B. Sabir and G.T. Davies, "Natural frequencies of plates with square
holes when subjected to in-plane uniaxial, biaxial or shear loading,"
Thin-Walled Structures, vol. 28, no. 3-4, pp. 321-335, 1997.
[13] S.A.M. Ghannadpour, A. Najafi and B. Mohammadi, "On the buckling
behavior of cross-ply laminated composite plates due to
circular/elliptical cutouts," Composite Structures, vol. 75, no. 1-4, pp. 3-
6, 2006.
[14] C.W. Kong, C.S. Hong and C.G. Kim, "Postbuckling strength of
composite plate with a hole," Journal of Reinforced Plastics and
Composites, vol. 20, no. 6, pp. 466-481, 2001.
[15] ANSYS Procedures, Engineering analysis system verification manual,
vol. 1, Houston, PA, USA: Swanson Analysis System Inc, 1993.
@article{"International Journal of Architectural, Civil and Construction Sciences:62131", author = "Bahi-Eddine Lahouel and Mohamed Guenfoud", title = "Comparative Analysis of Vibration between Laminated Composite Plates with and without Holes under Compressive Loads", abstract = "In this study, a vibration analysis was carried out of
symmetric angle-ply laminated composite plates with and without
square hole when subjected to compressive loads, numerically. A
buckling analysis is also performed to determine the buckling load of
laminated plates. For each fibre orientation, the compression load is
taken equal to 50% of the corresponding buckling load. In the
analysis, finite element method (FEM) was applied to perform
parametric studies, the effects of degree of orthotropy and stacking
sequence upon the fundamental frequencies and buckling loads are
discussed. The results show that the presence of a constant
compressive load tends to reduce uniformly the natural frequencies
for materials which have a low degree of orthotropy. However, this
reduction becomes non-uniform for materials with a higher degree of
orthotropy.", keywords = "Vibration, Buckling, Cutout, Laminated composite, FEM", volume = "7", number = "6", pages = "502-5", }