In a combined theoretical and experimental approach, the free vibration characteristics of a uniformly heated, fully clamped (out-of-plane), rectangular plate are considered. Specifically, this work focuses on the behavior of the small amplitude natural frequencies as the temperature is increased from the ambient. The effects of initial geometric imperfections, modal coupling, imperfect clamping (in-plane) and post-buckling are addressed. Comparisons between theory and experiment show excellent agreement.
Issue Section:
Research Papers
1.
Bisplinghoff, R. L., and Plan, T. H. H., 1956, “On the Vibrations of Thermally Buckled Bars and Plates,” 9th International Congress of Applied Mechanics, Vol. 7, pp. 307–318.
2.
Bisplinghoff, R. L., and Dugundji, J., 1958, “High Temperature Effects in Aircraft Structures,” N. J. Hoff, ed., Influence of Aerodynamic Heating on Aeroelastic Phenomena, Pergamon Press, Chapter 14, pp. 288–312.
3.
Clevenson, S. A., and Daniels, E. p., 1992, “Capabilities of the Thermal Acoustic Fatigue Apparatus,” NASA Technical Memorandum 104106.
4.
Croll, J. G. A., and Walker, A. C., 1972, Elements of Structural Stability, Wiley and Sons, New York.
5.
Dowell, E. H., 1975, Aeroelasticity of Plates and Shells, Noordhoff International Publishing (now Kluwer), The Netherlands.
6.
Gray, C. C., and Mei, C., 1991, “Finite Element Analysis of Thermal Post-Buckling and Vibrations of Thermally Buckled Composite Plates,” 32nd Structures, Structural Dynamics and Materials Conference, AIAA Paper No. 91-1239-CP.
7.
Leissa, A. W., 1969, Vibration of Plates, NASA SP-160.
8.
Lurie, H., 1952, “Lateral Vibration as Related to Structural Stability,” ASME Journal of Applied Mechanics, pp. 195–204.
9.
Meirovitch, L. E., 1984, Analytic Methods in Vibrations, Wiley and Sons, London.
10.
Ng
C. F.
White
R. G.
1988
, “Dynamic Behaviour of Postbuckled Isotropic Plates Under In-Plane Compression
,” Journal of Sound and Vibration
, Vol. 120
, No. 1
, pp. 1
–18
.11.
Plaut
R. H.
Virgin
L. N.
1993
, “On the Use of Frequency Data to Predict Buckling
,” ASCE Journal of Engineering Mechanics
, Vol. 116
, pp. 2330
–2335
.12.
Southwell
R. V.
1932
, “On the Analysis of Experimental Observations in Problems of Elastic Stability
,” Proceedings of the Royal Society of London
, Vol. 135A
, pp. 601
–616
.13.
Tauchert
T. R.
1991
, “Thermally Induced Flexure, Buckling, and Vibration of Plates
,” ASME Applied Mechanics Review
, Vol. 44
, No. 8
, pp. 347
–360
.14.
Thornton
E. A.
1993
, “Thermal Buckling of Plates and Shells
,” ASME Applied Mechanics Review
, Vol. 46
, No. 10
, pp. 485
–506
.15.
Ventres
C. S.
Dowell
E. H.
1970
, “Comparison of Theory and Experiment for Nonlinear Flutter of Loaded Plates
,” AIAA Journal
, Vol. 8
, No. 11
, pp. 2022
–2030
.16.
Virgin
L. N.
1985
, “The Dynamics of Symmetric Post-Buckling
,” International Journal of Mechanical Science
, Vol. 27
, No. 4
, pp. 235
–248
.17.
Vol’mir, A. S., 1967, Flexible Plates and Shells, Air Force Technical Report AFFDL-TR-66-216.
18.
Wiggins, S., 1989, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag.
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