BibTex RIS Kaynak Göster
Yıl 2013, Cilt: 5 Sayı: 4, 1 - 22, 01.12.2013

Öz

Kaynakça

  • [1] Gibson RF, Principles of Composite Material Mechanics, McGraw-Hill Int. Editions, 1994.
  • [2] Leissa AW, Buckling of composite plates, Composite Structures, 1, 51-66, 1983.
  • [3] Phan ND, Reddy JN, Analysis of laminated composite plates using a higher-order shear deformation theory. Int. J. for Numerical Methods in Engineering, 21, 2201-2219, 1985.
  • [4] Khdeir AA, Reddy JN, Librescu L, Analytical solutions of a refined shear deformation theory for rectangular composite plates, Int. J. Solids Structures, 23, 1447-1463, 1987.
  • [5] Whitney JM, The effect of boundary conditions on the response of laminated composites, J. Composite Material, 4, 192-203, 1970.
  • [6] Whitney JM, Leissa AW, Analysis of simply supported laminated anisotropic rectangular plate, AIAA Journal, 8, 28-33, 1970.
  • [7] Srinivas S, Rao AK, Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates, Int. J. Solids Structures, 6, 1463-1481, 1970.
  • [8] Hussainy SA, Srinivas S, Flexure of rectangular composite plates, Fibre Sci.Techn., 8, 59- 76, 1975.
  • [9] Narita Y, Leissa AW, Buckling studies for simply supported symmetrically laminated rectangular plates, Int. J. Mech. Sciences, (32)11, 909-924, 1990.
  • [10] Shufrin I, Rabinovitch O, Eisenberger M, Buckling of symmetrically laminated rectangular plates with general boundary conditions-A semi analytical approach, Composite Structures, 82, 521-531, 2008.
  • [11] Srinivas S, Joga Rao CV, Rao AK, An exact analysis for vibration of simply supported homogeneous and laminated thich rectangular plates, J. Sound Vibr., 12, 187-199, 1970.
  • [12] Aydogdu M, Timarci T, Vibration analysis of cross-ply laminated square plates with general boundary conditions, Composites Science and Technology, 63, 1061-1070, 2003.
  • [13] Lee JM, Chung JH, Chung TY, Free vibration analysis of Symmetrically Laminated composite rectangular plates, Journal of Sound and Vibration, 199, 71-85, 1991.
  • [14] Narita Y, Leissa AW, Frequencies and mode shapes of cantilevered laminated composite plates, Journal of Sound and Vibration, 154, 161-172, 1992.
  • [15] Qatu MS, Free vibration of laminated composite rectangular plates, Int. J. Solids Structures, 28, 941-954, 1991.
  • [16] Chen WQ, Lüe CF, 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported, Composite Structures, 69, 77-87, 2005.
  • [17] Lü CF, Chen WQ, Shao JW, Semi-analytical three-dimensional elasticity solutions for generally laminated composite plates, European Journal of Mechanics A/Solids, 27, 899-917, 2008.
  • [18] Jones RM, Buckling and vibration of unsymmetrically laminated cross-ply rectangular plates, AIAA Journal, 12(11), 1626-32, 1973.
  • [19] Qatu MS, Natural frequencies for cantilevered laminated composite right triangular and trapezoidal plates, Composites Science and Technology, 51, 441-449, 1994.
  • [20] Seçgin A, Sarıgül AS, Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution approach: Algorithm and verification, Journal of Sound and Vibration, 315, 197-211, 2008.
  • [21] Chow ST, Liew KM, Lam KY, Transverse vibration of symmetrically laminated rectangular composite plates, Composite Structures, 20, 213-226, 1992.
  • [22] Reddy JN, Phan ND, Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory, J. of Sound and Vibration, 98(2), 157- 170, 1985.
  • [23] Reddy JN, A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics, 51, 745-752, 1984.
  • [24] Aydogdu M, Comparison of various shear deformation theories for bending, buckling and vibration of rectangular symmetric cross-ply plate with simply supported edges, Journal of Composite Materials, 40(23), 2143-2155, 2006.
  • [25] Civalek Ö, Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory by discrete singular convolution method, Finite Elements in Analysis and Design, 44, 725-731, 2008.
  • [26] Cho KN, Bert CW, Striz AG, Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory, Journal of Sound and Vibration, 145(3), 429-442, 1991.
  • [27] Soldatos KP, A transverse shear deformation theory for homogeneous monoclinic plates, Acta Mechanica, 94, 195-220, 1992.
  • [28] Aydoğdu M, Tımarcı T, Vibration analysis of cross-ply laminated square plates with general boundary conditions, Composites Science and Technology, 63, 1061-1070, 2003.
  • [29] Soldatos KP, Timarci T, A unified formulation of laminated composite, shear deformable, five-degrees-of-freedom cylindrical shell theories, Composite Structures, 25, 165-171, 1993.
  • [30] Timarci T, Soldatos KP, Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis of a unified shear deformable theory, J Sound Vib, 187(4), 609- 624, 1995.
  • [31] Aydogdu M, A new shear deformation theory for laminated composite plates, Composite Structures, 89, 94-101, 2009.
  • [32] Reddy JN, Theory and analysis of elastic plates, Taylor and Francis, 1999.
  • [33] Langhaar HL, Energy methods in applied mechanics, John Wiley and Sons, 1962.

COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES

Yıl 2013, Cilt: 5 Sayı: 4, 1 - 22, 01.12.2013

Öz

In the present study Navier method with generalized shear deformation theory for exponential model which proposed by Aydoğdu [31] is used to determine the natural frequencies and critical buckling loads of elastic plates. According to the model the transverse shear strains through the thickness direction of the plate are distributed exponential and the theory accounts the rotary inertia. The convergence and comparison studies demonstrate the accuracy and correctness of the present study. The results are obtained for comparing the antisymmetric and symmetric cross-ply laminated plates with isotropic and orthotropic plates for simply supported boundary condition. The material anisotropy, plate geometry (side-side, side-thickness), variation of higher frequencies, and variation of vibration and axial buckling mode shapes are compared

Kaynakça

  • [1] Gibson RF, Principles of Composite Material Mechanics, McGraw-Hill Int. Editions, 1994.
  • [2] Leissa AW, Buckling of composite plates, Composite Structures, 1, 51-66, 1983.
  • [3] Phan ND, Reddy JN, Analysis of laminated composite plates using a higher-order shear deformation theory. Int. J. for Numerical Methods in Engineering, 21, 2201-2219, 1985.
  • [4] Khdeir AA, Reddy JN, Librescu L, Analytical solutions of a refined shear deformation theory for rectangular composite plates, Int. J. Solids Structures, 23, 1447-1463, 1987.
  • [5] Whitney JM, The effect of boundary conditions on the response of laminated composites, J. Composite Material, 4, 192-203, 1970.
  • [6] Whitney JM, Leissa AW, Analysis of simply supported laminated anisotropic rectangular plate, AIAA Journal, 8, 28-33, 1970.
  • [7] Srinivas S, Rao AK, Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates, Int. J. Solids Structures, 6, 1463-1481, 1970.
  • [8] Hussainy SA, Srinivas S, Flexure of rectangular composite plates, Fibre Sci.Techn., 8, 59- 76, 1975.
  • [9] Narita Y, Leissa AW, Buckling studies for simply supported symmetrically laminated rectangular plates, Int. J. Mech. Sciences, (32)11, 909-924, 1990.
  • [10] Shufrin I, Rabinovitch O, Eisenberger M, Buckling of symmetrically laminated rectangular plates with general boundary conditions-A semi analytical approach, Composite Structures, 82, 521-531, 2008.
  • [11] Srinivas S, Joga Rao CV, Rao AK, An exact analysis for vibration of simply supported homogeneous and laminated thich rectangular plates, J. Sound Vibr., 12, 187-199, 1970.
  • [12] Aydogdu M, Timarci T, Vibration analysis of cross-ply laminated square plates with general boundary conditions, Composites Science and Technology, 63, 1061-1070, 2003.
  • [13] Lee JM, Chung JH, Chung TY, Free vibration analysis of Symmetrically Laminated composite rectangular plates, Journal of Sound and Vibration, 199, 71-85, 1991.
  • [14] Narita Y, Leissa AW, Frequencies and mode shapes of cantilevered laminated composite plates, Journal of Sound and Vibration, 154, 161-172, 1992.
  • [15] Qatu MS, Free vibration of laminated composite rectangular plates, Int. J. Solids Structures, 28, 941-954, 1991.
  • [16] Chen WQ, Lüe CF, 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported, Composite Structures, 69, 77-87, 2005.
  • [17] Lü CF, Chen WQ, Shao JW, Semi-analytical three-dimensional elasticity solutions for generally laminated composite plates, European Journal of Mechanics A/Solids, 27, 899-917, 2008.
  • [18] Jones RM, Buckling and vibration of unsymmetrically laminated cross-ply rectangular plates, AIAA Journal, 12(11), 1626-32, 1973.
  • [19] Qatu MS, Natural frequencies for cantilevered laminated composite right triangular and trapezoidal plates, Composites Science and Technology, 51, 441-449, 1994.
  • [20] Seçgin A, Sarıgül AS, Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution approach: Algorithm and verification, Journal of Sound and Vibration, 315, 197-211, 2008.
  • [21] Chow ST, Liew KM, Lam KY, Transverse vibration of symmetrically laminated rectangular composite plates, Composite Structures, 20, 213-226, 1992.
  • [22] Reddy JN, Phan ND, Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory, J. of Sound and Vibration, 98(2), 157- 170, 1985.
  • [23] Reddy JN, A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics, 51, 745-752, 1984.
  • [24] Aydogdu M, Comparison of various shear deformation theories for bending, buckling and vibration of rectangular symmetric cross-ply plate with simply supported edges, Journal of Composite Materials, 40(23), 2143-2155, 2006.
  • [25] Civalek Ö, Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory by discrete singular convolution method, Finite Elements in Analysis and Design, 44, 725-731, 2008.
  • [26] Cho KN, Bert CW, Striz AG, Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory, Journal of Sound and Vibration, 145(3), 429-442, 1991.
  • [27] Soldatos KP, A transverse shear deformation theory for homogeneous monoclinic plates, Acta Mechanica, 94, 195-220, 1992.
  • [28] Aydoğdu M, Tımarcı T, Vibration analysis of cross-ply laminated square plates with general boundary conditions, Composites Science and Technology, 63, 1061-1070, 2003.
  • [29] Soldatos KP, Timarci T, A unified formulation of laminated composite, shear deformable, five-degrees-of-freedom cylindrical shell theories, Composite Structures, 25, 165-171, 1993.
  • [30] Timarci T, Soldatos KP, Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis of a unified shear deformable theory, J Sound Vib, 187(4), 609- 624, 1995.
  • [31] Aydogdu M, A new shear deformation theory for laminated composite plates, Composite Structures, 89, 94-101, 2009.
  • [32] Reddy JN, Theory and analysis of elastic plates, Taylor and Francis, 1999.
  • [33] Langhaar HL, Energy methods in applied mechanics, John Wiley and Sons, 1962.
Toplam 33 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA66BY53YK
Bölüm Makaleler
Yazarlar

Bahar Uymaz Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 5 Sayı: 4

Kaynak Göster

APA Uymaz, B. (2013). COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES. International Journal of Engineering and Applied Sciences, 5(4), 1-22.
AMA Uymaz B. COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES. IJEAS. Aralık 2013;5(4):1-22.
Chicago Uymaz, Bahar. “COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES”. International Journal of Engineering and Applied Sciences 5, sy. 4 (Aralık 2013): 1-22.
EndNote Uymaz B (01 Aralık 2013) COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES. International Journal of Engineering and Applied Sciences 5 4 1–22.
IEEE B. Uymaz, “COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES”, IJEAS, c. 5, sy. 4, ss. 1–22, 2013.
ISNAD Uymaz, Bahar. “COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES”. International Journal of Engineering and Applied Sciences 5/4 (Aralık 2013), 1-22.
JAMA Uymaz B. COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES. IJEAS. 2013;5:1–22.
MLA Uymaz, Bahar. “COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES”. International Journal of Engineering and Applied Sciences, c. 5, sy. 4, 2013, ss. 1-22.
Vancouver Uymaz B. COMPARISON OF FREE VIBRATION AND BUCKLING BEHAVIOUR OF CROSS-PLY LAMINATED PLATES WITH ISOTROPIC AND ORTHOTROPIC PLATES. IJEAS. 2013;5(4):1-22.

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