Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-23T03:40:00.954Z Has data issue: false hasContentIssue false

Destabilizing Effect of In-Plane Magnetic Field on Panel Flutter

Published online by Cambridge University Press:  05 May 2011

Chun-Bo Lin*
Affiliation:
Department of Mechanical Engineering, Nan Kai Junior College, Nantou, Taiwan 542, R.O.C.
*
*Associate Professor
Get access

Abstract

Destabilizing effect of magnetic damping on the supersonic panel flutter is investigated. The linear piston theory is available to formulate the air force at high Mach numbers. A plate in supersonic flow can be stabilized by reducing the compression force perpendicular to the flow. However, once the dynamic pressure parameter exceeds some critical value, the time rate of motion becomes complex then the flutter occurs. In this paper, the strength of in-plane magnetic field to reduce the panel flutter under higher dynamic pressure parameter is determined. Due to the complexity in finding the exact solution of plate motion, Galerkin solution with different terms of truncation is adopted herein. Therefore, the exact solution can be obtained by using the four-term solution as an initial value. The most attractive feature is that the supersonic flutter can be avoided efficiently through the application of in-plane magnetic field.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Moon, F. C., Magneto-Solid Mechanics, John Wiley & Sons, New York (1984).Google Scholar
2.Tiersten, H. F., “Thickness Vibrations of Saturated Magnetoelastic Plates,” Journal of Applied Physics, Vol. 36, pp. 22502259 (1965).CrossRefGoogle Scholar
3.Brown, W. R., Magnetoelastic Interactions, Springer-Verlag, New York (1966).CrossRefGoogle Scholar
4.Pao, Y. H. and Yen, C. S., “A Linear Theory for Soft Ferromagnetic Elastic Solids,” International Journal of Engineering Science, Vol. 11, pp. 415436 (1973).Google Scholar
5.Moon, R C., and Pao, Y. H., “Magnetoelastic Buckling of a Thin Plate,” Journal of Applied Mechanics, ASME, Vol. 35, pp. 5358 (1968).CrossRefGoogle Scholar
6.Moon, R C. and Pao, Y. H.,“Vibration and Dynamic Instability of a Beam-Plate in a Transverse Magnetic Field,” Journal of Applied Mechanics, ASME, Vol. 36, pp. 92100(1969).CrossRefGoogle Scholar
7.Chattopadhyyay, S. and Moon, F C., “Magnetoelastic Buckling and Vibration of a Rod Carrying Electric Current,” Journal of Applied Mechanics, ASME, Vol. 40, pp. 809814 (1975).CrossRefGoogle Scholar
8.Lottati, I., “The Role of Structural and Aerodynamic Damping on the Aeroelastic Behavior of Wings,– Journal of Aircraft, Vol. 23, pp. 606608 (1986).CrossRefGoogle Scholar
9.Lin, K. J., Lu, P. J. and Tarn, J. Q., “Flutter Analysis of Cantilever Composite Plates in Subsonic Flow,” AIAA Journal, Vol. 27, pp. 11021109 (1989).CrossRefGoogle Scholar
10.Cunningham, H. J., “Flutter Analysis of Flat Rectangular Panels Based on Three-Dimensional Supersonic Potential Flow,” AIAA Journal, Vol. 1, pp. 17951801 (1963).CrossRefGoogle Scholar
11.Ashley, H., and Zartarian, G., “Piston Theory—A New Aerodynamic Tool for the Aeroelastician,” Journal of Aeronautical Sciences, Vol. 23, pp. 11091118(1956).CrossRefGoogle Scholar
12.Shanthakumar, P., Nagaraj, V. T., and Raju, P. N., “Influence of Support Location on Panel Flutter,” Journal of Sound and Vibration, Vol. 53, pp. 273281 (1977).CrossRefGoogle Scholar
13.Hjelte, R., “Methods for Calculating Pressure Distributions on Oscillating Wings of Delta Type at Supersonic and Transonic Flow,” K. T. H. AERO Technical Note, Vol. 39 (1955).Google Scholar
14.Hedgepeth, J. M., “Flutter of Rectangular Simply Supported Panels at High Supersonic Speeds,” Journal of Aeronautical Sciences, Vol. 24, pp. 563573 (1957).CrossRefGoogle Scholar
15.Fung, Y. C., “Some Recent Contributions to Panel Flutter Research,” AIAA Journal, Vol. 1, pp. 898909 (1963).CrossRefGoogle Scholar
16.Olson, M. D.“Some Flutter Solutions Using Finite Elements,” AIAA Journal, Vol. 8, pp. 747752 (1970).CrossRefGoogle Scholar
17.Dowell, E. H., Aero elasticity of Plates and Shells, Noordhoff International Publishing (1978).Google Scholar
18.Timoshenko, S. P. and Woinowsky-Krieger, S.,Theory of Plates and Shells, McGraw-Hill, 2nd ed., New York (1959).Google Scholar
19.David, K. C., Field and Wave Electromagnetics, Addison-Waeley, New York (1983).Google Scholar
20.Timoshenko, S. P., and Gere, J. M., Mechanics of Materials, Litton Educational Publishing, Inc. (1972).Google Scholar
21.Dommasch, D. O., Sherby, S. S. and Connolly, T. R. Airplane Aerodynamic, Pitman Publishing Corporation, 4th eds. (1967).Google Scholar
22.Dickson, L. E.First Course in the Theory of Equations, John Wiley & Sons, New York (1922).Google Scholar