A spectral element method for analyzing wave propagation in multiply connected plates oriented at arbitrary angles is presented. These plate elements may be joined to model structures with stiffeners, open or closed thin-walled tubes, corrugated plates, channels, and ducts. The element models exactly both in-plane and out-of-plane responses over large domains. Results for point impact of a plate with stringers and a thin-walled box beam show excellent agreement with finite element solutions.
Issue Section:
Research Papers
1.
Bathe, K.-J., 1982, Finite Element Procedures in Engineering Analysts, Prentice-Hall, Englewood Cliffs.
2.
Batoz
J-L.
Bathe
K.-J.
Ho
L-W.
1980
, “A Study of Three-Node Triangular Plate Bending Elements
,” Int. Journal for Numerical Methods in Engineering
. Vol. 15
, pp. 1771
–1812
.3.
Bergman
L. A.
Hall
J. K.
Lueschen
G. G. G.
McFarland
D. M.
1993
, “Dynamic Green’s Functions for Levy Plates
,” J. Sound and Vibration
, Vol. 162
, No. 2
, pp. 281
–310
.4.
Chambers, Ll. G., 1962, “Sommerfeld Type Diffraction Problems for a Plate,” Zeitschrift fur Angewandte Math. u. Mech., B. 42, s. 545–555.
5.
Chang
C.
Sun
C. T.
1989
, “Determining Transverse Impact Force on a Composite Laminate by Signal Deconvolution
,” Experimental Mechanics
, Vol. 29
, No. 4
, pp. 414
–419
.6.
Cheung, Y. K., 1976, Finite Strip Method in Structural Analysis, Pergamon Press, New York.
7.
Chu, K. H., and Dudnik, E., 1969, “Concrete Box Girder Bridges Analysed as Folded Plates,” Concrete Bridge Design, SP-23, pp. 221–246.
8.
Danial, A. N., 1994, “Inverse Solutions on Folded Plate Structures,” Ph.D. Thesis, Purdue University.
9.
Danial
A. N.
Doyle
J. F.
1995
, “Transverse Impact of a Damped Plate with a Straight Edge
,” ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol. 117
, pp. 103
–108
.10.
Danial
A. N.
Doyle
J. F.
1993
, “Dynamic Analysis of Folded Plate Structures on a Massively Parallel Computer
,” Computers & Structures
, Vol. 54
, pp. 521
–529
.11.
Doyle, J. F., 1989, Wave Propagation in Structures, Springer-Verlag, New York.
12.
Eterovic
A. L.
Godoy
L. A.
1989
, “An Exact Strip Method for Folded Plate Structures
,” Computers & Structures
, Vol. 32
, No. 2
, pp. 263
–276
.13.
Farhat
C.
Sobh
N.
Park
K. C.
1990
, “Transient Finite Element Computations on 65536 Processors. The Connection Machine
,” Int. J. for Numerical Meth. Eng.
, Vol. 30
, No. 1
, pp. 27
–55
.14.
Goldberg, J. E., and Leve, H. L., 1957, “Theory of Prismatic Folded Plate Structures,” IABSE, v. 17.
15.
Kelkel
K.
1987
, “Green’s Function and Receptance for Structures Consisting of Beams and Plates
,” AIAA Journal
, Vol. 25
, pp. 1482
–1489
.16.
Michaels
J. E.
Pao
Y. H.
1985
, “Inverse Source Problem for an Oblique Force on an Elastic Plate
,” J. Acoustical Soc. America
, Vol. 77
, pp. 2005
–2011
.17.
Rizzi, S. A., and Doyle, J. F., 1991, “Force Identification for Impact of a Layered System,” L. E. Schwer and R. F. Kulak, eds., Computational Aspects of Impact and Penetration, pp. 221–241, Elmepress International.
18.
Rizzi
S. A.
Doyle
J. F.
1992
, “A Spectral Element Approach to Wave Motion in Layered Solids
,” JOURNAL OF VIBRATION & ACOUSTICS
, Vol. 114
, pp. 569
–577
.19.
Rodriguez
M.
Diaz
C.
1989
, “Analysis of the Seismic Performance of a Medium Rise, Waffle Flat Plate Building
,” Earthquake Spectra
, Vol. 5
, No. 1
, pp. 25
–40
.20.
Rutledge, J. M., Jone, D. R., Chen, W. H., and Chung, E. Y., 1991, “Use of a Massively Parallel SIMD Computer for Reservoir Simulation,” Proc. ASME SPE Symp. Reservoir Simulation, pp. 117–124.
21.
Shames, I. H., and Dym, C. L., 1985, Energy and Finite Element Methods in Structural Analysis, Hemisphere, Washington.
22.
Stricklin
J. A.
Haisler
E. E.
Tisdale
P. R.
Gunderson
R.
1969
, “A Rapidly Converging Triangular Plate Element
,” AAIA Journal
, Vol. 7
, No. 1
, pp. 180
–181
.23.
Wiernicki, C. J., 1986, “Damage of Ship Plating Due to Wave Impact Loads,” Proc. 11th Ship Technology & Research Symp., Portland, OR, pp. 151–179.
This content is only available via PDF.
Copyright © 1996
by The American Society of Mechanical Engineers
You do not currently have access to this content.