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TECHNICAL PAPERS

Free Flexural Vibrations of Orthotropic Composite Base Plates or Panels With a Bonded Noncentral (or Eccentric) Stiffening Plate Strip

[+] Author and Article Information
U. Yuceoglu, V. Özerciyes

Department of Aeronautical Engineering, Middle East Technical University, Ankara 06531, Turkey

J. Vib. Acoust 125(2), 228-243 (Apr 01, 2003) (16 pages) doi:10.1115/1.1553975 History: Received April 01, 2001; Revised October 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
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References

Hoskins, B. C., and Baker, A. A., 1986, Composite Materials for Aircraft Structures, AIAA Educational Series, New York.
Marshall, I. H., and Demuts, E., (Editors), 1988, Supportability of Airframes and Structures, Elsevier Applied Science Publishers, New York.
Clarkson,  B. L., and Mead,  D. J., 1973, “High Frequency Vibration of Aircraft Structures,” J. Sound Vib., 28(3), pp. 487–504.
Kirk,  C. L., 1970, “Natural Frequencies of Stiffened Rectangular Plates,” J. Sound Vib., 13, pp. 259–277.
Aksu,  G., and Ali,  R., 1976, “Free Vibration Analysis of Stiffened Plates using Finite Difference Method,” J. Sound Vib., 48(1), pp. 15–25.
Aksu,  G., 1982, “Free Vibration Analysis of Stiffened Plates by Including the Effect of Inplane Inertia,” ASME J. Appl. Mech., 49, pp. 206–212.
Bhat,  R. B., and Sankar,  T. S., 1981, “The Effect of Stiffener Arrangement on the Random Response of a Flat Panel,” Shock and Vibration Bulletin,51, pp. 81–87.
Laura,  P. A., and Gutierrez,  G., 1981, “A Note on Transverse Vibrations of Stiffened Rectangular Plates with Edges Elastically Restrained,” J. Sound Vib., 78(1), pp. 139–144.
Lin,  Y. K., 1960, “Free Vibration of Continuous Skin-Stringer Panels,” ASME J. Appl. Mech., 27(4), pp. 669–676.
Wah,  T., 1964, “Vibration of Stiffened Plates,” Aeronaut. Q., pp. 285–298.
Long,  R. R., 1971, “Stiffness Type of Analysis of the Vibration of a Class of Stiffened Plates,” J. Sound Vib., 16, pp. 323–325.
Yurkovich,  R. N., , 1971, “Dynamic Analysis of Stiffened Panel Structures,” AIAA J., 8, pp. 149–155.
Olson,  M. D., and Hazell,  C. R., 1977, “Vibration Studies on Some Integral Rib-Stiffened Plates,” J. Sound Vib., 50(1), pp. 43–61.
Bhat,  R. B., 1982, “Vibrations of Panels with Non-Uniform Spaced Stiffeners,” J. Sound Vib., 84(3), pp. 449–452.
Nicholson,  J. W., 1986, “Free Vibrations of Stiffened Rectangular Plates Using Green’s Function and Integral Equations,” AIAA J., 24(3), pp. 485–491.
Wu,  J. R., and Liu,  W. H., 1988, “Vibration of Rectangular Plates with Edge Restraints and Intermediate Stiffeners,” J. Sound Vib., 123(1), pp. 103–113.
Mukhopadhyay,  M., 1989, “Vibration Analysis and Stability of Stiffened Plate by Semi-Analytic Finite Difference Method—Part I—Bending Displacements Only,” J. Sound Vib., 130(1), pp. 27–39.
Liu,  W. H., and Chang,  L. B., 1990, “Deflections and Vibrations for Cantilever Plate with Stiffeners,” J. Sound Vib., 136, pp. 511–518.
Liu,  W. H., and Chen,  W. C., 1992, “Vibration Analysis of Cantilever Plates with Stiffeners,” J. Sound Vib., 159(1), pp. 1–11.
Liew,  K. M., , 1994, “Vibration of Rectangular Mindlin Plates with Intermediate Stiffeners,” ASME J. Vibr. Acoust. 116, pp. 529–535.
Chen,  C. J., Liu,  W., and Chern,  S. M., 1994, “Vibration Analysis of Stiffened Plates,” Inter. Jour. of Computers and Structures,50(4), pp. 471–480.
Shastry,  B. P., and Rao,  G. V., 1977, “Vibrations of Thin Rectangular Plates with Arbitrarily Oriented Stiffeners,” Comput. Struct., 53, pp. 627–629.
Mikulas, M. M., and McElman, J. A., 1965, “On the Free Vibrations of Eccentrically Stiffened Cylindrical Shells and Flat Panels,” NASA TND-3010.
McElman,  J. A., , 1966, “Static and Dynamic Effects of Eccentric Stiffening of Plates and Cylindrical Shells,” AIAA J., 4(5), pp. 887–894.
Lee,  D. M., and Lee,  I., 1995, “Vibration Analysis of Anisotropic Plates with Eccentric Stiffeners,” Inter. Jour. of Computers and Structures,57(1), pp. 99–105.
Yuceoglu, U., and Özerciyes, V., 1997, “Natural Frequencies and Mode Shapes of Composite Plates or Panels with a Central Stiffening Plate Strip,” ASME-Noise Control and Acoustics Div. Symposium on Vibroacoustic Methods in Processing and Characterization of Advanced Materials and Structures, NCAD-Vol. 24, pp. 185–196.
Yuceoglu, U., and Özerciyes, V., 2000, “Natural Frequencies and Modes in Free Transverse Vibrations of Stepped-Thickness and/or Stiffened Plates and Panels,” Proceed. of the 41st AIAA/ASME/ASCE/AHS/ASC SDM Conference, Paper No. AIAA-2000-1348.
Yuceoglu, U., and Özerciyes, V., 1998, “Free Bending Vibrations of Composite Base Plates or Panels Reinforced with a Non-Central Stiffening Plate Strip,” ASME-Noise Control and Acoustic Div. Vibroacoustic Characterization of Advanced Materials and Structures NCAD-Vol. 25, pp. 233–243.
Yuceoglu, U., and Özerciyes, V., 1996, “Free Bending Vibrations of Partially-Stiffened, Stepped-Thickness Composite Plates,” ASME-Noise Control and Acoustics Div. Advanced Materials for Vibro-Acoustic Applications NCAD-Vol. 23, pp. 191–202.
Yuceoglu, U., and Özerciyes, V., 1999, “Sudden Drop Phenomena in Natural Frequencies of Partially Stiffened, Stepped-Thickness, Composite Plates or Panels,” Proceed. of the 40th AIAA/ASME/ASCE/AHS/ASC SDM Conference, Paper No. AIAA-1999-1483, pp. 2336–2347.
Reissner,  E., 1945, “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,” ASME J. Appl. Mech., 12(2), pp A.69–A.77.
Mindlin,  R. D., 1951, “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates,” ASME J. Appl. Mech., 18, pp. 31–38.
Whitney,  J. M., 1969, “The Effect of Transverse Shear Deformation on the Bending of Laminated Plates,” Jour. of Composite Materials,3, pp. 534–546.
Whitney,  J. M., and Pagano,  N. J., 1970, “Shear Deformation in Heterogenous Anisotropic Plates,” ASME J. Appl. Mech., 37, pp. 1031–1036.
Khdeir,  A. A., and Librescu,  L., 1988, “Analysis of Symmetric Cross-ply Laminated Elastic Plates using Higher Order Theory—Part II,” Comput. Struct., 9, pp. 259–277.
Kapania,  R. K., and Raciti,  S., 1989, “Recent Advances in Analysis of Laminated Beams and Plates, Part II,” AIAA J., 27, pp. 935–946.
Reddy,  J. N., 1990, “A Review of Refined Theories of Laminated Composite Plates,” Shock Vib. Dig., 22, pp. 3–17.
Reddy,  J. N., and Robbins,  D. H., 1994, “Theories and Computational Models for Composite Laminates,” Appl. Mech. Rev., 47(6), pp. 147–169.
Yuceoglu,  U., and Özerciyes,  V., 2000, “Sudden Drop Phenomena in Natural Frequencies of Composite Plates or Panels with a Central Stiffening Plate Strip,” Inter. Journal of Computers and Structures,76(1–3) (Special Issue), pp. 247–262.
Yuceoglu,  U., Toghi,  F., and Tekinalp,  O., 1996, “Free Bending Vibrations of Adhesively Bonded, Orthotropic Plates with a Single Lap Joint,” ASME J. Vibr. Acoust., 118, pp. 122–134.
Yuceoglu, U., and Özerciyes, V., 2000, “Free Flexural Vibration Solutions of Plate Initial and Boundary Value Problems by ‘Modified Transfer Matrix Method,”’ Proceed. of ECCOMAS-2000—European Congress on Computational Methods in Applied Sciences and Engineering, Sept. 11–14, 2000, Barcelona, Spain.

Figures

Grahic Jump Location
General configuration and coordinate system of orthotropic, composite plate or panel with a noncentral (or eccentric) stiffening plate strip
Grahic Jump Location
Longitudinal cross-section and coordinate system of orthotropic, composite plate or panel with a noncentral (or eccentric) stiffening plate strip
Grahic Jump Location
Mode shapes and natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (“hard” adhesive, joint length b1=0.30 m.,b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFCC)
Grahic Jump Location
Mode shapes and natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (“soft” adhesive, joint length b1=0.30 m.,b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFCC)
Grahic Jump Location
Mode shapes and natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (“hard” adhesive, joint length b1=0.30 m.,b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFFF)
Grahic Jump Location
Mode shapes and natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (“soft” adhesive, joint length b1=0.30 m.,b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFFF)
Grahic Jump Location
Mode shapes and natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (“hard” adhesive, joint length b1=0.30 m.,b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFSS)
Grahic Jump Location
Mode shapes and natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (“hard” adhesive, joint length b1=0.30 m.,b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFFC)
Grahic Jump Location
Effect of “joint length ratio b1/b2” on natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (base plate length b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFCC)
Grahic Jump Location
Effect of “joint length ratio b1/b2” on natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (base plate length b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFFF)
Grahic Jump Location
Effect of “joint length ratio b1/b2” on natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (base plate length b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFSS)
Grahic Jump Location
Effect of “joint length ratio b1/b2” on natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (base plate length b2=1.00 m.,a=0.50 m.) (boundary conditions in y-direction FFFC)
Grahic Jump Location
Effect of “stiffener position ratio b̃/b2” on natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=kevlar-epoxy) (joint length b1=0.20 m.,b2=1.00 m.,a=0.5 m.) (boundary conditions in y-direction FFCC)
Grahic Jump Location
Influence of “dimensionless adhesive elastic modulus Ea/B11(1)” and “dimensionless adhesive shear modulus Ga/B11(1)” on natural frequencies of orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=graphite-epoxy) (joint length b1=0.30 m.,b2=1.00 m.,a=0.5 m.) (several boundary conditions in y-direction)
Grahic Jump Location
Natural frequencies versus “bending rigidity ratio D11(2)/D11(1)” in orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=D11(2) changes) (joint length b1=0.30 m.,b2=1.00 m.,a=0.5 m.) (several boundary conditions in y-direction)
Grahic Jump Location
Natural frequencies versus “bending rigidity ratio D11(2)/D11(1)” in orthotropic, composite plate or panel with a noncentral stiffening plate strip (Plate 1=graphite-epoxy, Plate 2=D11(2) changes) (joint length b1=0.30 m.,b2=1.00 m.,a=0.5 m.) (several boundary conditions in y-direction)

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