Vibration Attenuation Using Functionally Graded Material

Authors: Saeed Asiri, Hassan Hedia, Wael Eissa

Abstract:

The aim of the work was to attenuate the vibration amplitude in CESNA 172 airplane wing by using Functionally Graded Material instead of uniform or composite material. Wing strength was achieved by means of stress analysis study, while wing vibration amplitudes and shapes were achieved by means of Modal and Harmonic analysis. Results were verified by applying the methodology in a simple cantilever plate to the simple model and the results were promising and the same methodology can be applied to the airplane wing model. Aluminum models, Titanium models, and functionally graded materials of Aluminum and titanium results were compared to show a great vibration attenuation after using the FGM. Optimization in FGM gradation satisfied our objective of reducing and attenuating the vibration amplitudes to show the effect of using FGM in vibration behavior. Testing the Aluminum rich models, and comparing it with the titanium rich model was an optimization in this paper. Results have shown a significant attenuation in vibration magnitudes when using FGM instead of Titanium Plate, and Aluminium wing with FGM Spurs instead of Aluminium wings. It was also recommended that in future, changing the graphical scale to 1:10 or even 1:1 when the computers- capabilities allow.

Keywords: Vibration, Attenuation, FGM, ANSYS2011, FEM.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057221

References:

[1] Noda N., "Thermal stresses in functionally graded materials", Journal of Thermal Stresses, 22, 477-512, 1999
[2] Fuchiyama T., Noda N., "Analysis of thermal stress in a plate of functionally gradient material", JSAE Review, 16, 263-268, 1995
[3] Obata Y., Noda N., "Steady thermal stresses in a hollow circular cylinder and hollow sphere of a functionally gradient material", Journal of Thermal Stresses, 17, 471-487, 1994 0.00E+00 1.00E-03 2.00E-03 3.00E-03 4.00E-03 5.00E-03 6.00E-03 7.00E-03 8.00E-03 Tip Point Middle Point Tale Point
[4] Reddy J.N., Chin C.D., "Thermomechanical analysis of functionally graded cylinders and plates", Journal of Thermal Stresses, 21, 593-626, 1998.
[5] Takezono S., Tao K., Inamura E., Inoue M., "Thermal stress and deformation in functionally graded material, shells of revolution under thermal loading due to fluid", JSME International Journal Series A, 39, 573-581, 1996.
[6] Ye G.R., Chen W.Q., Cai J.B., "A uniformly heated functionally graded cylindrical shell with transverse isotropy", Mechanics Research Communications, 28, 535-542, 2001
[7] Cho J.R., Ha D.Y., "Volume fraction optimization for minimizing thermal stress in Ni-Al2O3 functionally graded materials", Materials Science and Engineering, 334147-155, 2002
[8] Jabbari M., Sohrabpour S., Eslami M.R., "Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric load", International Journal of Pressure Vessels and Piping, 79, 493-497, 2002
[9] Kadoli R., Ganesan N., “Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperaturespecified boundary condition", Journal of Sound and Vibration, 289, 450-480, 2006
[10] Liew K.M., Kitipornchai S., Zhang X.Z., Lim C.W., "Analysis of the thermal stress behaviour of functionally graded, hollow circular cylinders", International Journal of Solids and Structures, 40, 2355- 2380, 2003
[11] Ootao Y.,Tanigawa Y., Nakamura T., "Optimization of material composition of FGM hollow circular cylinder, under thermal loading: a neural network approach",Composites Part B, 30, 415-422, 1999