The dynamic axisymmetric behavior of clamped laminated composite spherical caps subjected to suddenly applied loads is investigated using an eight-noded quadrilateral doubly curved shear flexible shell element based on the field-consistency approach. Geometric nonlinearity is considered using von Karman’s strain-displacement relations. The solution is obtained using the Wilson-θ numerical integration scheme. The pressure corresponding to a sudden jump in the maximum average deflection in the time history of the shell structure is taken as dynamic buckling pressure. A detailed parametric study is carried out to bring out the effects of shell geometries and material properties, number of layers, lamination schemes, and type of loading on a dynamic buckling load.

Issue Section:
Technical Papers
Topics:
Anisotropy, Buckling, Shells, Pressure, Stress, Composite materials, Deflection, Displacement, Lamination, Materials properties, Shear (Mechanics)
1.
Alwar
R. S.
, and
Sekhar Reddy
B.
,
1979
, “
Dynamic Buckling of Isotropic and Orthotropic Shallow Spherical Caps with Circular Hole
,”
International Journal of Mechanical Science
, Vol.
21
, pp.
681
–
688
.
2.
Alwar
R. S.
, and
Narasimhan
M. C.
,
1990
, “
Application of Chebyshev Polynomials to the Analysis of Laminated Axisymmetric Spherical Shells
,”
Composite Structures
, Vol.
15
, pp.
215
–
237
.
3.
Alwar
R. S.
, and
Narasimhan
M. C.
1991
, “
Analysis of Laminated Orthotropic Spherical Shells
,”
Computers and Structures
, Vol.
41
, pp.
611
–
620
.
4.
Ball
R. E.
, and
Burt
J. A.
,
1973
, “
Dynamic Buckling of Shallow Spherical Shells
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
40
, pp.
411
–
416
.
5.
Bergan
P. G.
, and
Clough
R. W.
,
1972
, “
Convergence Criteria for Iterative Process
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
10
, pp.
1107
–
1108
.
6.
Budiansky, B., and Roth, R. S., 1962, “Axisymmetric Dynamic Buckling of Clamped Shallow Spherical Shells,” NASA TND-1510, pp. 597–609.
7.
Chao
C. C.
,
Tung
T. P.
, and
Chern
Y. C.
,
1988
, “
Buckling of Thick Orthotropic Spherical Shells
,”
Composite Structures
, Vol.
9
, pp.
113
–
137
.
8.
Chao
C. C.
, and
Lin
I. S.
,
1990
, “
Static and Dynamic Snap-Through of Orthotropic Spherical Caps
,”
Composite Structures
, Vol.
14
, pp.
281
–
301
.
9.
Dumir
P. C.
,
Gandhi
M. L.
, and
Nath
Y.
,
1984
, “
Axisymmetric Static and Dynamic Buckling of Orthotropic Shallow Spherical Caps with Flexible Supports
,”
Acta Mechanica
, Vol.
52
, pp.
93
–
106
.
10.
Huang
N. C.
,
1969
, “
Axisymmetric Dynamic Snap-Through of Elastic Clamped Shallow Shell
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
7
, pp.
215
–
220
.
11.
Jones, R. M., 1975, Mechanics of Composite Materials, McGraw-Hill, New York.
12.
Kao
R.
, and
Perrone
N.
,
1978
, “
Dynamic Buckling of Axisymmetric Spherical Caps with Initial Imperfection
,”
Computers and Structures
, Vol.
9
, pp.
463
–
473
.
13.
Leech
J. N.
,
1965
, “
Stability of Finite Difference Equations for the Transient Response of a Flat Plate
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
3
, pp.
1772
–
1773
.
14.
Lock
M. H.
,
Okubo
S.
, and
Whitter
J. S.
,
1968
, “
Experiments on the Snapping of a Shallow Dome under a Step Pressure Load
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
6
, pp.
1320
–
1326
.
15.
Prathap
G.
,
Naganarayana
B. P.
, and
Somashekar
B. R.
,
1988
, “
Field Consistency Analyses of the Isoparametric Eight-Noded Plate Bending Elements
,”
Computers and Structures
, Vol.
29
, pp.
857
–
874
.
16.
Rajasekaran
S.
, and
Murray
D. W.
,
1973
, “
Incremental Finite Element Matrices
,”
ASCE Journal of Structural Division
, Vol.
99
, pp.
2423
–
2438
.
17.
Saigal
S.
,
Yang
T. Y.
, and
Kapania
R. K.
,
1987
, “
Dynamic Buckling of Imperfection-Sensitive Shell Structures
,”
Journal of Aircraft
, Vol.
24
, pp.
718
–
724
.
18.
Simitses
G. J.
,
1967
, “
Axisymmetric Dynamic Snap-Through Buckling of Shallow Spherical Caps
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
5
, pp.
1019
–
1021
.
19.
Simitses, G. J., 1989, Dynamic Stability of Suddenly Loaded Structures, Springer-Verlag, New York.
20.
Somashekar
B. R.
, and
Prathap
G.
,
1987
, “
A Field Consistent 4-Noded Laminated Anisotropic Plates/Shells Element
,”
Computers and Structures
, Vol.
25
, pp.
345
–
353
.
21.
Stephens
W. B.
, and
Fulton
R. E.
,
1969
, “
Axisymmetric Static and Dynamic Buckling of Spherical Caps Due to Centrally Distributed Pressures
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
7
, pp.
2120
–
2126
.
22.
Stricklin
J. A.
, and
Martinez
J. E.
,
1969
, “
Dynamic Buckling of Clamped Spherical Cap Under Step Pressure Loadings
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
7
, pp.
1212
–
1213
.
23.
Subbaraj
K.
, and
Dokainish
M. A.
,
1989
, “
A Survey of Direct Time Integration Methods in Computational Structural Dynamics-II, Implicit Methods
,”
Computers and Structures
, Vol.
32
, pp.
1387
–
1401
.
24.
Tsui
T. Y.
, and
Tong
P.
,
1971
, “
Stability of Transient Solution of Moderately Thick Plate by Finite Difference Method
,”
American Institute of Aeronautics and Astronautics Journal
, Vol.
9
, pp.
2062
–
2063
.
25.
Tsai, S. W., and Pagano, N. J., 1968, “Invariant Properties of Composite Materials,” Composite Materials Workshop, S. W. Tsai, J. C. Halpin, and N. J. Pagano, eds., Technomic Publishing Co., Stanford, CT, pp. 233–253.
26.
Tene
Y.
, and
Sheinmann
I.
,
1978
, “
Dynamics of Shells of Revolution under Axisymmetric Load Involving Shear Deformation
,”
Computers and Structures
, Vol.
8
, pp.
563
–
568
.
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