Relativity and Aeroelasticity Effects on the Supersonic Objects
American Journal of Aerospace Engineering
Volume 2, Issue 2, April 2015, Pages: 6-10
Received: Sep. 2, 2015; Accepted: Sep. 13, 2015; Published: Oct. 15, 2015
Views 3487      Downloads 96
Author
Arezu Jahanshir, Buein Zahra Technical University, Department of Eng. Physic, Qazvin, Iran
Article Tools
Follow on us
Abstract
Flutter is one of the aerodynamic problems; it mainly occurs on the moving object, especially with wide wings, blade or aerospace vehicles when they cruise at ultra-high speeds. Development and applications of flutter and its related issues in usual speed such as structural design, material section and aerodynamic frame study by many authors like Baurmgart, Jureczko, Guo, Baxevanou and Larsen (see ref. [1-5]). But at ultra-high speeds where the Galilean space and time invariant change to the Lorentz spacetime invariant, the flutter phenomenon will be important to describe the stability of the moving objects at ultra-high speeds. In this limit the torsional stiffness of the wings or the body of the object is very large, so the self-variation causes the instability motion on aerospace-crafts. Therefore, the moving body displacement against the flow field plays an important role in dynamic stability studies. It is the main source of instability in an ultrasonic airplane, which is subjected to aerodynamic forces and velocity of a moving object. Instability and self-oscillation are one of the important reasons of studying the characteristics of an airplane and velocity conditions at the ultra-high speeds, which we can see the relativistic effect of motion, as predicated many years ago by Einstein's theory, i.e. the general theory of relativity. Nowadays, prediction of flutter in the field of aerospace science plays a fundamental role because the aviation safety of ultra-high objects in military and high technology equipment growth day by day. In this article in order to determine the aeroelasticity effects of ultrasonic aerospace-crafts, the theoretical methods based upon physical characteristics of four dimensional spacetime at high velocity (relativity theory) were selected.
Keywords
Lorentz Invariant, Relativity and Aeroelasticity Effects, Supersonic Aerospace-Craft, Relativistic Energy
To cite this article
Arezu Jahanshir, Relativity and Aeroelasticity Effects on the Supersonic Objects, American Journal of Aerospace Engineering. Vol. 2, No. 2, 2015, pp. 6-10. doi: 10.11648/j.ajae.20150202.11
References
[1]
A. A. Baumgart, mathematical model for wind turbine blades, J. Sound Vib., 251(1), 1-12, 2002.
[2]
M. E. Jureczko, M., Pawlak, and A., Mezyk, Optimisation of wind turbine blades, J. Mater. Process. Tech., 167(2), 463-471, 2005.
[3]
S. Guo, Aeroelastic optimization of an aerobatic aircraft wing structure, Aerospace Sci. Technol., 11(5), 396-404, 2007.
[4]
C. A. Baxevanou, P. K. Chaviaropoulos, S. G. Voutsinas, and N. S. Vlachos, Evaluation study of a Navier–Stokes CFD aeroelastic model of wind turbine airfoils in classical flutter, J. Wind Eng. Ind. Aerod., 96(8), 1425-1443, 2008.
[5]
J. W. Larsen, and Nielsen, S. R., Nonlinear parametric instability of wind turbine wings, J. Sound Vib., 299(1), 64-82, 2007.
[6]
A. Andronov, A. A. Vitt and S. E. Khakin, Theory of Oscillator, Mineola, NY: Dover, 1987.
[7]
L. Mirovitch, Elements of Vibration analysis, Dover Publications, 2011.
[8]
L. Raymond et al., Principles of aeroelasticity, Dover Publications, 2002.
[9]
T. H. G. Megson, Introduction to Aerospace Structural Analysis, Butterworth-Heinemann, 2013.
[10]
W. C. Hurty and M. F. Rubinstein, Dynamics of Structures, Prantice Hall of India Pvt. Ltd., 1967.
[11]
H. Babinksy, How do wings work? Phys. Educ. 38, 2003.
[12]
E. H. Dowell, D. A. Peters, R. H. Scanlan and F. Sisto, A Modern course in Aeroelasticity, III edition, Kluwer Academic Publishers, 1995.
[13]
a)http://www.uasvision.com/2012/04/04/nasa-tests-supersonic-aircraft-without-boom/, b)http://www.globalsecurity.org/space/systems/x-41-htv-3.htm
[14]
R. Fitzpatrick, Oscillations and Waves: An Introduction, CRC Press, 2013.
[15]
P. Scheerbart, The perpetual Motion Machines, Wakefield Press, 2011.
[16]
A. H. Gasemi, A. Jahanshir, Numerical and analytical study of aero elastic characteristics of wind turbine composite blades, International WIND and Structure Journal, 18(2), 103-116, 2014.
[17]
H. Goldstein, C. P. Poole and J. L. Safko, Classical Mechanics, 3rd ed., San Francisco: Addison Wesley, 2002.
[18]
C. Moller, The Theory of Relativity, Oxford, Clarendon Press, 1972.
[19]
A. Einstein, Relativity: The Special and General Theory (Translation 1920), New York: H. Holt and Company, 1916.
[20]
S. Carroll, From Eternity to Here: The Quest for the Ultimate Theory of Time, New York: Dutton, 2010.
[21]
E. J. Saletan, Classical Dynamics: A Contemporary Approach, Cambridge: Cambridge University Press, 1998.
[22]
S. H. Strogatz et al., Theoretical mechanics: Crowd synchrony on the Millennium Bridge, Nature 438, 43-44, 2005.
[23]
H. Goldstein, C. P. Poole and J. L. Safko, Classical Mechanics, 3rd ed., Boston: Addison Wesley, 2001.
[24]
L. D. Landau and E. M. Lifshitz, Mechanics, 3rd ed., Oxford: Elsevier, 1976.
[25]
A. B. Pippard, The Physics of Vibration, omnibus ed., Cambridge: Cambridge University Press, 1989.
[26]
R. Altman, Sound theory, Sound practice, Routledge, 1992.
[27]
A. Jenkins, Self-oscillation, Phy. Reports 525 (2), 167–222. arXiv:1109.6640, 2013.
[28]
E. H. Dowell, Theoretical and experimental panel flutter study AIAA J., 3(12), 1995.
[29]
H. J. Pain, The Physics of Vibrations and Waves, 6th ed., Chichester: John Wiley & Sons, 2005.
[30]
J. Dugundji, Theoretical consideration of Panel flutters at high supersonic Mach No., AIAA J. 4(7), 1966.
[31]
M. P. Paldoussis, S. Price and E.de Langre, Fluid Structure Interactions: Cross-Flow-Induced Instabilities, Cambridge University Press, 2011.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186