Abstract
An analytical method for the buckling discretely thin-wall stiffened composite curved panels under compression and shear is presented by use of finite strip-element method.
In the report a simplified scheme for complex displacement functions is developed. It enables that computation to be performed in real number algebra easily. And a simple and easy way to satisify the boundary conditions is introduced.
Numerical results are given and are in good agreement with available data.
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Abbreviations
- A ij :
-
extensional stiffnesses (i, j=1,2,6)
- B ij :
-
stiffnesses (i, j.=1,2,6) associated with bending-stretching coupling
- D ij :
-
bending stiffnesses (i, j=1,2,6)
- b o :
-
developed width of the plate
- [d], [D]:
-
displacement vector
- E 11,E 22 :
-
young's moduli of orthrotropic lamina
- G 12 :
-
shear modulus of orthrotropic lamina
- [f], [F]:
-
force vector
- M x ,M y ,M xy :
-
moment resultants
- N x ,N y ,N xy :
-
stress resultants
- \(\bar N_x ,{\text{ }}\bar N_y ,{\text{ }}\bar N_{xy} \) :
-
applied inplane loads
- O y :
-
transverse shear
- R :
-
reference plane radius of curved plate
- u, v, w :
-
buckling displacements of the reference plane
- U j ,V j ,W j :
-
undetermined displacement coefficients
- α j , β:
-
buckling displacement parameters
- θ:
-
rotation
- λ:
-
half-wavelength of buckling in the x-direction
- v 12.v 21 :
-
Poission's ratio
- J :
-
index corresponding to characteristic roots
References
Seydel, E., Beitrag zur Frags des Ausbeulens von Versteiften Platten bei Schubbeanspruchung.DVL-Bericht, Luftfahrforschung,8, 3 (1930).
Viswanathan, A. V., M. Tamkuni and L. L. Baker, Elastic stability of laminated, flat and curved, long rectangular plates subjected to combined inplane loads, NASA CR-2330, June (1974).
Viswanathan, A. V., Soong Tsai-chen and R. E. Miller, Jr., Buckling analysis for axially compressed flat plates, structural sections, and stiffened plates reinforced with laminated composites, NASA CR-1887, Nov. (1971).
Viswanathan, A. V. and M. Tamekuni, Elastic buckling analysis for composite stiffened panels and other structures subjected to biaxial inplane loads, NASA CR-2216, Sep. (1973).
Geier, B., Introduction to the mechanics of composite laminates,IB, 131-82/12 (DFVLR).
Fan, S. F., B. Geier, K. Rohwer and D. C. Liu, Stability of layered anisotropic cylindrical shells under combined loading,IB, 131-83 (DFVLR).
Tong, X. X., Stability analysis for axially compressed stiffened plates of laminated composites, HJB, 84016.
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Communicated by Hsueh Dai-wei
A subscript preceded by a comma indicates partial differentiation with respect to the subscript.
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Tong, X.X., Geier, B. & Rohwer, K. Buckling analysis of discretely stiffened composite curved panels under compression and shear. Appl Math Mech 7, 315–326 (1986). https://doi.org/10.1007/BF01898221
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DOI: https://doi.org/10.1007/BF01898221