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Composite Structures 4 pp 1–17Cite as

Recent Advances in Dynamics of Composite Structures

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Abstract

This chapter comprises a survey on the dynamics of composite structures, with emphasis on research completed since 1980. After a brief introduction to applications in which the subject is of importance, the following specific topics are addressed: (1) characterization of the dynamic stiffness and damping in composites reinforced with either continuous or short fibers, (2) vibratory response of composite beams, plates, and shells, (3) low-velocity transverse impact of composite plates, (4) dynamic instabilities including aeroelastic phenomena, and (5) nonlinear effects. Experimental, analytical, and numerical investigations are included and the chapter is concluded by some suggestions for future research directions.

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References

  1. Bert B. W., and Egle, D. M., Dynamics of composite, sandwich, and stiffened shell structures, J. Spacecraft Rkts, 6 (1969), 1345 - 1361.

    Article  Google Scholar 

  2. Bert C. W., and Francis P. H., Composite material mechanics: structural mechanics, AIAA J., 12 (1974), 1173–1186.

    Article  Google Scholar 

  3. Bert C. W., Dynamics of composite and sandwich panels, parts I and II (corrected title), Shock Vib. Digest, 8 (10) (Oct. 1976), 37–48; 8(11) (Nov. 1976), 15–24.

    Google Scholar 

  4. Bert C. W., Recent research in composite and sandwich plate dynamics, Shock Vib. Digest, 11 (10) (Oct. 1979), 13–23.

    Article  Google Scholar 

  5. Bert C. W., Vibration of composite structures, Recent Advances in Structural Dynamics (Proc., Int. Conf., Univ. of Southampton, July 1980) (M. Petyt ed.), Vol. 2, pp. 693–712.

    Google Scholar 

  6. Bert C. W., Research on dynamics of composite and sandwich plates, 1979–81, Shock Vib. Digest, 14 (10) (Oct. 1982), 17–34.

    Article  Google Scholar 

  7. Bert, C. W., Research on dynamic behavior of composite and sandwich plates—IV, Shock Vib. Digest, 17 (11) (Nov. 1985), 3–15.

    Article  Google Scholar 

  8. Jones R. M., Mechanics of Composite Materials, New York, McGraw-Hill, 1975.

    Google Scholar 

  9. Hashin Z., Complex moduli of viscoelastic composites—II. Fiber reinforced materials, Int. J. Solids Struct., 6 (1970), 797–807.

    Article  Google Scholar 

  10. Chang S., and Bert C. W., Analysis of damping for filamentary composite materials, Composite Materials in Engineering Design (Proc., 6th St. Louis Sympos., May 1972), American Society for Metals, Metals Park, OH, 1973, 51–62.

    Google Scholar 

  11. Siu C. C., and Bert C. W., Sinusoidal response of composite-material plates with material damping, ASME J. Engng for Industry, 96B (1974), 603–610.

    Article  Google Scholar 

  12. Bert C. W., and Clary R. R., Evaluation of experimental methods for determining dynamic stiffness and damping of composite materials, Composite Materials: Testing and Design (3rd Conference ASTM STP,, 546, 1974, 250–265.

    Google Scholar 

  13. Gibson R. F. and Plunkett R., Dynamic stiffness and damping of fiber- reinforced composite materials, Shock Vib. Digest, 9 (2) (Feb. 1977), 9–17.

    Article  Google Scholar 

  14. Gibson R. F., and Wilson D. G., Dynamic mechanical properties of fiber- reinforced composite materials, Shock Vib. Digest, 11 (10) (Oct. 1979), 3–11.

    Article  Google Scholar 

  15. Bert C. W., Composite materials: a survey of the damping capacity of fiber reinforced composites, in: Damping Applications for Vibration Control (P. J. Torvik, ed.), New York, ASME, AMD Vol. 38, 1980, pp. 53 - 63.

    Google Scholar 

  16. Gibson R. F., Recent research on dynamic mechanical properties of fiber reinforced composite materials and structures, Shock Vib. Digest, 15 (2) (Feb. 1983), 3–15.

    Article  Google Scholar 

  17. Gibson R. F. and Yau, A., Complex moduli of chopped fiber and continuous fiber composites: comparison of measurement with estimated bounds, J. Comp. Mater., 14 (1980), 155–167.

    Article  CAS  Google Scholar 

  18. Gibson R. F., Yau A., Mende E. W., Osborn W. E., and Reigner D. A., The influence of environmental conditions on the vibration characteristics of chopped-fiber-reinforced composite materials, J. Reinforced Plastics Comp., 1 (1982), 225–241.

    Article  CAS  Google Scholar 

  19. Suarez S. A., Gibson R. F., Sun C. T., and Chaturvedi S. K., The influence of fiber length and fiber orientation on damping and stiffness of polymer composite materials, Exp. Mech., 26 (1986), 175–184.

    Article  Google Scholar 

  20. Tabaddor F. and Clark S. K., Loss characteristics of cord rubber composites, Proc. 4th Int. Conf. Vehicle Structural Mech., Detroit, SAE, 1981.

    Book  Google Scholar 

  21. Tabaddor F., and Clark S. K., Linear and nonlinear viscoelastic non- constitutive relations of cord reinforced elastomers, Proc., Int. Conf. Constitutive Lawsfor Engng Mater.: Theory and Appl., Tucson, AZ, University of Arizona, 1983, pp. 143–150.

    Google Scholar 

  22. Timmerman N. S., Damping Characteristics of Metal Matrix Composites, Cambridge, MA, Bolt Beranek & Newman, Inc., AMMRC CTR-82–19, Apr. 1982

    Google Scholar 

  23. Mantena R., Gibson R. F., and Place T. A., Damping capacity measurements of degradation in advanced materials, SAMPE Quarterly, 17 (3) (Apr. 1986), 20–31.

    CAS  Google Scholar 

  24. Teh K. K. and Huang C. C., The effects of fibre orientation on free vibrations of composite beams, J. Sound Vib., 69 (1980), 327–337.

    Article  Google Scholar 

  25. Teh K. K., and Huang C. C., Wave propagation in generally orthotropic beams, Fibre Sci. Technol, 14 (1981), 301–310.

    Article  Google Scholar 

  26. Bratt J. G., Light, reinforced beams used as shock isolators, Trans. Canad. Soc. Mech. Engng, 6 (1980–81), 41–46.

    Google Scholar 

  27. Mead D. J., and Markus S., Coupled flexural-longitudinal wave motion in a periodic beam, J. Sound Vib., 90 (1983), 1–24.

    Article  Google Scholar 

  28. Mead D. J., and Markus S., Coupled flexural, longitudinal and shear wave motion in two- and three-layered damped beams, J. Sound Vib., 99 (1985), 501–519.

    Article  Google Scholar 

  29. Miles R. N., and Reinhall P. G., An analytical model for the vibration of laminated beams including the effects of both shear and thickness deformation in the adhesive layer, ASME J. Vib. Acoust., Stress, Reliab. in Design, 108 (1986), 56–64.

    Google Scholar 

  30. Reddy E. S., and Mallik A. K., Vibration of a two layered ring ou periodic radial supports, J. Sound Vib., 84 (1982), 417–430.

    Article  Google Scholar 

  31. Grace N. F., and Kennedy J. B., Dynamic analysis of orthotropic plate structures, J. Engng Mech., 111 (1985), 1027–1037.

    Article  Google Scholar 

  32. Kim C. S., and Dickinson S. M., Improved approximate expressions for the natural frequencies of isotropic and orthotropic rectangular plates, J. Sound Vib., 103 (1985), 142–149.

    Article  Google Scholar 

  33. Dickinson S. M., and Di Blasio, A., On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates, J. Sound Vib., 108 (1986), 51–62.

    Article  Google Scholar 

  34. Nakahira N., Natsuaki Y., Ozawa K., and Naruoka M., Numerical vibration analysis of plate structures by Newmark’s method, J. Sound Vib., 99 (1985), 183–198.

    Article  Google Scholar 

  35. Grossi R. O., Laura P. A. A., and Mukhopadhyay M., Fundamental frequency of vibration of orthotropic rectangular plates with three edges elastically restrained against rotation while the fourth is free, J. Sound Vib., 103 (1985), 443–445.

    Article  Google Scholar 

  36. Grossi R. O., Laura P. A. A., and Mukhopadhyay M., Fundamental frequency of vibration of orthotropic rectangular plates with three edges elastically restrained against rotation while the fourth is free, J. Sound Vib., 103 (1985), 443–445.

    Article  Google Scholar 

  37. Tomar J. S., and Gupta A. K., Effect of thermal gradient on frequencies of an orthotropic rectangular plate whose thickness varies in two directions J. Sound Vib., 98 (1985), 257–262.

    Article  Google Scholar 

  38. Bianchi A., Avalos D. R., and Laura P. A. A., A note on transverse vibrations of annular, circular plates of rectangular orthotropy, J. Sound Vib., 99 (1985), 140–14

    Article  Google Scholar 

  39. Narita Y., Natural frequencies of free, orthotropic elliptical plates, J. Sound Vib., 100 (1985), 83–89.

    Article  Google Scholar 

  40. Narita Y., Free vibration analysis of orthotropic elliptical plates resting on arbitrarily distributed point supports, J. Sound Vib., 108 (1986), 1–10.

    Article  Google Scholar 

  41. Gorman D. G., Thermal gradient effects upon the vibrations of certain composite circular plates, part I: plane orthotropic, J. Sound Vib., 101 (1985), 325–336.

    Article  Google Scholar 

  42. Gorman D. G., Thermal gradient effects upon the vibration of certain composite circular plates, part II: plane orthotropic with temperature dependent properties, J. Sound Vib., 101 (1985), 337–345.

    Article  Google Scholar 

  43. Narita Y., Natural frequencies of completely free annular and circular plates having polar orthotropy, J. Sound Vib., 92 (1984), 33–38.

    Article  Google Scholar 

  44. Srinivasan R. S. and Thiruvenkatachari V., Free vibration of annular sector plates by an integral equation technique, J. Sound Vib., 89 (1983), 425–432.

    Article  Google Scholar 

  45. Gupta U. S. and Lal R., Axisymmetric vibrations of polar orthotropic Mindlin annular plates of variable thickness, J. Sound Vib., 98 (1985), 565–573.

    Article  Google Scholar 

  46. Gupta U. S., Lal R., and Verma C. R, Effects of an elastic foundation on axisymmetric vibrations of polar orthotropic annular plates of variable thickness, J. Sound Vib., 103 (1985), 159–169.

    Article  Google Scholar 

  47. Gupta U. S., Lal R. and Verma C. P., Buckling and vibrations of polar orthotropic annular plates of variable thickness, J. Sound Vib., 104 (1986), 357–369.

    Article  Google Scholar 

  48. Dong S. B. and Huang K. H., Edge vibrations in laminated composite plates, ASME J. appl. Mech., 52 (1985), 433–438.

    Article  Google Scholar 

  49. Hui D., Effects of geometric imperfections on frequency-load interaction of biaxially compressed antisymmetric angle ply rectangular plates, ASME J. appl. Mech., 52 (1985), 155–162.

    Article  Google Scholar 

  50. Sankaranarayanan N., Chandrasekaran K., and Ramaiyan G., Axisymmetric vibrations of layered annular plates with linear variation in thickness, J. Sound Vib., 99 (1985), 351–360.

    Article  Google Scholar 

  51. Iyengar N. G. R., and Umaretiya J. R., Transverse vibrations of hybrid laminated plates, J. Sound Vib., 104 (1986), 425–535.

    Article  Google Scholar 

  52. Grosveld F. W., and Metcalf V. L., Modal response and noise transmission of composite panels, Proc. 26th Structures, Struct. Dynamics and Mater. Conf., Orlando, FL, 1985, pt. 2, pp. 617–627.

    Google Scholar 

  53. Yen S. C., and Cunningham F. M., Vibration characteristics of graphite-epoxy composite plates, Proc. Soc. Exp. Mech. Spring Conf., Las Vegas, NV, 1985, pp. 60–67.

    Google Scholar 

  54. Ramkumar R. L., Chen P. C. and Sanders W. J., Free vibration solution for clamped orthotropic plates using Lagrangian multiplier technique, AIAA J., 25 (1987), 146–151.

    Article  Google Scholar 

  55. Craig T. J. and Da We, D. J., Flexural vibration of symmetrically laminated composite rectangular plates including transverse shear effects, Int. J. Solids Struct., 22 (1986), 155–169.

    Article  Google Scholar 

  56. Dawe D. J., and Craig T. J., The vibration and stability of symmetrically- laminated composite rectangular plates subjected to inplane stress, Comp. Struct, 5 (1986), 281–307.

    Article  Google Scholar 

  57. Kamal K., and Durvasula S., Some studies of free vibration of composite laminates, Comp. Struct., 5 (1986), 177–202.

    Article  Google Scholar 

  58. Di Sciuva M., Bending, vibration and buckling of simply supported thick multilayered orthotropic plates: an evaluation of a new displacement model, J. Sound Vib., 105 (1986), 425–442.

    Article  Google Scholar 

  59. Kamal K., and Durvasula S., Macromechanical behaviour of composite laminates, Comp. Struct. 5 (1986), 309–318.

    Article  Google Scholar 

  60. Stein M., and Jegley D. C., Effects of transverse shearing on cylindrical bending, vibration, and buckling of laminated plates, AIAA J., 25 (1987), 123–129.

    Article  CAS  Google Scholar 

  61. Putcha N. S. and Reddy J. N., Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory, J. Sound Vib., 104 (1986), 285–300.

    Article  Google Scholar 

  62. Reddy J. N., A review of the literature on finite-element modeling of laminated composite plates, Shock Vib. Digest, 17 (5) (Apr. 1985), 3–8.

    Article  Google Scholar 

  63. Alam N., and Asnani N. T., Vibration and damping analysis of fibre reinforced composite material plates, J. Comp. Mater., 20 (1986), 2–18.

    Article  Google Scholar 

  64. Kozlov S. V., Determination of the natural frequencies and mode configurations for small vibrations of an orthotropic cylindrical shell with attached masses, Sov. appl. Mech., 17 (1981), 138–142.

    Article  Google Scholar 

  65. Chonan S., Moving load on initially stressed orthotropic cylindrical shells filled with liquid, ASME J. appl. Mech., 52 (1985), 976–977.

    Article  Google Scholar 

  66. Shirakawa K., Dynamic response of an orthotropic cylindrical shell to rapid heating, J. Sound Vib., 83 (1982), 27–35.

    Article  Google Scholar 

  67. Shul’ga N. A., Eigenfrequencies of axisymmetric vibrations of a hollow cylinder made out of a composite material, Mech. Comp. Mater., 16 (1980), 349–352.

    Article  Google Scholar 

  68. Vanderpool M. E., and Bert C. W., Vibration of a materially monoclinic, thick-wall circular cylindrical shell, AIAA J., 19 (1981), 634–641.

    Article  Google Scholar 

  69. Sharma C. B., and Dimakakos K., Natural frequencies of orthotropic cylindrical shells with shear deformation and rotary inertia, American Society of Mechanical Engineers, Paper 85-DET-174, Sept. 1985.

    Google Scholar 

  70. Marchuk R. A., and Shvets R. N., Small oscillations of an orthotropic cylindrical shell containing a liquid covered by rigid endplates, J. appl. Math. Mech., 46 (1982), 237–243.

    Article  Google Scholar 

  71. Chonan S., Response of a pre-stressed, orthotropic thick cylindrical shell subjected to a pressure pulse, J. Sound Vib., 93 (1984), 31–38.

    Article  Google Scholar 

  72. Bert C. W., and Kumar M., Vibration of cylindrical shells of bimodulus composite materials, J. Sound Vib., 81 (1982), 107–121.

    Article  Google Scholar 

  73. Soldatos K. P., A comparison of some shell theories used for the dynamic analysis of cross-ply laminated circular cylindrical panels, J. Sound Vib., 97 (1984), 305–319.

    Article  Google Scholar 

  74. Bert C. W., Models for fibrous composites with different properties in tension and compression, ASME J. Mater. Technol, 99 (1977), 344–349.

    Article  Google Scholar 

  75. Kumar M., and Bert C. W., Experimental characterization of mechanical behavior of cord-rubber composites, Tire Sci. Technol., 10 (1982), 37–54.

    Article  Google Scholar 

  76. Bert C. W., Micromechanics of the different elastic behavior of filamentary composites in tension and compression, in: Mechanics of Bimodulus Materials (C. W. Bert ed)., New York, ASME, AMD Vol. 33, 1979, pp. 17–28.

    Google Scholar 

  77. Schmueser D. W., Nonlinear stress-strain and strength response of axisymmetric bimodulus composite material shells, AIAA J., 21 (1983), 1742–1747.

    Article  Google Scholar 

  78. Greenberg J. B., and Stavsky Y., Vibrations of laminated filament-wound cylindrical shells, AIAA J, 9 (1981), 1055–1062.

    Article  Google Scholar 

  79. Gulgazaryan G. R. and Lidskii V. B., Density of free vibration frequencies for a thin anisotropic shell made of anisotropic layers, Mechanics of Solids, 17 (1982), 159–162.

    Google Scholar 

  80. Soldatos K. P., On the buckling and vibration of antisymmetric angle-ply laminated circular cylindrical shells, Int. J. Engng Sci., 21 (1983), 217–222.

    Article  Google Scholar 

  81. Darvizeh M., and Sharma C. B., Natural frequencies of laminated orthotropic thin circular cylinders, Thin-Walled Struc., 2 (1984), 207–217.

    Article  Google Scholar 

  82. Soldatos K. P., and Tzivenidis G. J., Buckling and vibration of cross-ply laminated circular cylindrical panels, Zeits. angew. Math. Phys., 33 (1982), 230–240.

    Article  Google Scholar 

  83. Soldatos K. P., Free vibrations of antisymmetric angle-ply laminated circular cylindrical panels, Quart. J. Mech. appl. Math., 26 (1983), 207–221.

    Article  Google Scholar 

  84. Greenberg J. B., and Stavsky Y., Buckling and vibration of orthotropic composite cylindrical shells, Acta Mech., 36 (1980), 15–29.

    Article  Google Scholar 

  85. Soldatos K. P., and Tzivanidis G. J., Buckling and vibration of cross-ply laminated non-circular cylindrical shells, J. Sound Vib., 82 (1982), 425–434.

    Article  Google Scholar 

  86. Soldatos K. P., Equivalence of some methods used for the dynamic analysis of cross-ply laminated oval cylindrical shells, J. Sound Vib., 91 (1983), 461–465.

    Article  Google Scholar 

  87. Hui D., and Du I. H. Y., Effects of axial imperfections on vibrations of antisymmetric cross-ply, oval cylindrical shells, ASME J. appl. Mech., 53 (1986), 675–680.

    Article  Google Scholar 

  88. Sharma C. B., and Darvizeh M., Vibration characteristics of laminated composite shells with transverse shear and rotary inertia, American Society of Mechanical Engineers, Paper 85-DET-173, Sept. 1985.

    Google Scholar 

  89. Greenberg J. B., and Stavsky Y., Vibrations of axially compressed laminated orthotropic cylindrical shells, including transverse shear deformation, Acta Mech., 37 (1980), 13–28.

    Article  Google Scholar 

  90. Bhimaraddi A., Dynamic response of orthotropic, homogeneous, and laminated cylindrical shells, AIAA J., 23 (1985), 1834–1837.

    Article  Google Scholar 

  91. Bakulin V. N. and Potopakhin V. A., Use of the equations of the three- dimensional elasticity theory to solve multilayer shell dynamics problems, Sov. Aeron., 28 (1985), 6–11.

    Google Scholar 

  92. Bert C. W., Dynamic behavior of composites: an overview, Proc. Spring Conf on Exp. Mech., New Orleans, LA, 1986, pp. 747–751.

    Google Scholar 

  93. Bishop S. M., The mechanical performance and impact behaviour of carbon-fibre reinforced PEEK, Comp. Struct., 3 (1985), 295–318.

    Article  Google Scholar 

  94. Potter R. T., The interaction of impact damage and tapered-thickness sections in CFRP, Comp. Struct., 3 (1985), 319–339.

    Article  Google Scholar 

  95. Chen J. K., and Sun C. T., Dynamic large deflection response of composite laminates subjected to impact, Comp. Struct., 4 (1985), 59–73.

    Article  CAS  Google Scholar 

  96. Chen P. C., and Ramkumar R. L., Static and dynamic analysis of clamped orthotropic plates, 27th Struct., Struc. Dynamics & Matls. Conf., pt. 2, San Antonio, 1986, New York, AIAA.

    Google Scholar 

  97. Babich D. V., and Khoroshyn L. P., Dynamic loss of stability of an instantaneously compressed layered cylindrical shell, Sov. appl. Mech., 16 (1980), 586–590.

    Article  Google Scholar 

  98. Babich D. V., and Khoroshyn L. P., Dynamic loss of stability of an instantaneously compressed layered cylindrical shell, Sov. appl. Mech., 16 (1980), 586–590.

    Article  Google Scholar 

  99. Stuart R. J., Dharmarajan S., and Penzes L. E., Fibrous Composites in Structural Design (Proc., 4th Conf.), San Diego, CA, 1978, New York, Plenum Press, 1980, pp. 329–340.

    Google Scholar 

  100. Birman V., Dynamic stability of unsymmetrieally laminated rectangular plates, Mech. Res. Communications, 12 (1985), 81–86.

    Article  Google Scholar 

  101. Srinivasan R. S., and Chellapandi P., Dynamic stability of rectangular laminated composite plates, Computer & Struct., 24 (1986), 233–238.

    Article  Google Scholar 

  102. Srinivasan R. S., and Chellapandi P., Dynamic stability of rectangular laminated composite plates, Computer & Struct., 24 (1986), 233–238.

    Article  Google Scholar 

  103. Galaka P. I., Koval’chuk P. S., Mendelutsa V. M., and Nosachenko A. M., Dynamic instability of glass-plastic shells carrying concentrated masses, Sov. appl. Mech., 16 (1980), 686–690.

    Article  Google Scholar 

  104. Bert C. W., and BirmanV., Dynamic stability of thick, orthotropic, circular cylindrical shells, in: Refined Dynamical Theories of Beams, Plates and Shells and Their Applications, Euromech Colloquium 219, Kassel, Federal Republic of Germany, Sept. 1986.

    Google Scholar 

  105. Ray H., Dynamic instability of suddenly heated angle-ply laminated composite cylindrical shells, Computers & Struct., 16 (1983), 119–124.

    Article  Google Scholar 

  106. Ray H., and Bert C. W., Dynamic instability of suddenly heated, thick composite shells, Int. J. Engng Sci., 22 (1984), 1259–1268.

    Article  Google Scholar 

  107. Kamal K. and Durvasula S., Flutter of laminated composite skew panels in supersonic flow, Developments in Mechanics, Vol. 13 (Proc., 19th Midwestern Mech. Conf. ), Columbus, OH, 1985, pp. 440 - 441.

    Google Scholar 

  108. Librescu L., and Beiner L., Weight minimization of orthotropic flat panels subjected to a flutter speed constraint, AIAA J., 24 (1986), 991–997.

    Article  Google Scholar 

  109. Lottati I., Flutter and divergence aeroelastic characteristics for composite forward swept cantilevered wing, J. Aircraft, 22 (1985), 1001–1007.

    Article  Google Scholar 

  110. Shirk M. H., Hertz T. J. and Weisshaar T. A., Aeroelastic tailoring— theory, practice, and promise, J. Aircraft, 23 (1986), 6–18.

    Article  Google Scholar 

  111. Chia C. Y., Nonlinear Analysis of Plates, New York, McGraw-Hill, 1980.

    Google Scholar 

  112. Chia C. Y., Non-linear vibration of anisotropic rectangular plates with nonuniform edge constraints, J. Sound Vib., 101 (1985), 539–550.

    Article  Google Scholar 

  113. Chia C. Y., Nonlinear oscillation of unsymmetric angle-ply plate on elastic foundation having nonuniform edge supports, Comp. Struct., 4 (1985), 161–178.

    Article  Google Scholar 

  114. Sivakumaran K. S., and Chia C. Y., Large-amplitude oscillations of unsymmetrically laminated anisotropic rectangular plates including shear, rotatory inertia, and transverse normal stress, ASME J. Appl Mech., 52 (1985), 536–542.

    Article  Google Scholar 

  115. Gray C. E. Jr., Decha-Umphai K., and Mei C, Large deflection, large amplitude vibrations and random response of symmetrically laminated plates, J. Aircraft, 22 (1985), 929–930.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Engineering, University of Oklahoma, Norman, Oklahoma, 73019, USA

    Charles W. Bert

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Editors and Affiliations

  1. Department of Mechanical and Production Engineering, Paisley College of Technology, Scotland, UK

    I. H. Marshall

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© 1987 Elsevier Applied Science Publishers Ltd

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Bert, C.W. (1987). Recent Advances in Dynamics of Composite Structures. In: Marshall, I.H. (eds) Composite Structures 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3457-3_1

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  • DOI: https://doi.org/10.1007/978-94-009-3457-3_1

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