Dynamic Analysis of Multi-Directional Functionally Graded Panels and Comparative Modeling by ANN
الموضوعات :
H Khoshnoodi
1
(Department of Mechanical Engineering, Razi University, Kermanshah)
M.H Yas
2
(Department of Mechanical Engineering, Razi University, Kermanshah)
A Samadinejad
3
(Department of Mechanical Engineering, Razi University, Kermanshah)
الکلمات المفتاحية: Artificial Neural Network, Dynamic Analysis, Differential quadrature method, Panel, Multi-directional functionally graded, State-space method,
ملخص المقالة :
In this paper dynamic analysis of multi-directional functionally graded panel is studied using a semi-analytical numerical method entitled the state-space based differential method (SSDQM) and comparative behavior modeling by artificial neural network (ANN) for different parameters. A semi-analytical approach which makes use the three-dimensional elastic theory and assuming the material properties having an exponent-law variation along the axial, radial direction or both directions, the frequency equations of free vibration of multi-directional functionally graded panels are derived. Numerical results are given to demonstrate the convergency and accuracy of the present method. Once the semi-analytical method is validated, an optimal ANN is selected, trained and tested by the obtained numerical results. In addition to the quantitative input parameters is considered as a qualitative input in NN modeling. The results of SSDQM and ANN are compared and the influence of longitude of the panel, material property graded index and circumferential wave number on the non-dimensional natural frequency of functionally graded material (FGM) panels are investigated.
[1] Reddy J.N., Zhen-Qiang Ch., 2002, Frequency correspondence between membranes and functionally graded spherical shallow shells of polygonal plan form, International Journal of Mechanical Sciences 44: 967-985.
[2] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, Journal of Sound and Vibration 299: 720-738.
[3] Nie G.J., Zhong Z., 2007, Semi-analytical solution for three-dimensional vibration of functionally graded circular plates, Computer Methods in Applied Mechanics and Engineering 196: 4901-4910.
[4] Dong C.Y., 2008, Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev–Ritz method, Materials and Design 29: 1518-1525.
[5] Malekzadeh P., Shahpari S.A., Ziaee H.R., 2010, Three-dimensional free vibration of thick functionally graded annular plates in thermal environment, Journal of Sound and Vibration 329: 425-442.
[6] Zahedinejad P., Malekzadeh P., Farid M., Karami G., 2010, A semi-analytical three dimensional free vibration analysis of functionally graded curved panels, International Journal of Pressure Vessels and Piping 87: 470-480.
[7] Zhao X., Liew K.M., 2011, Free vibration analysis of functionally graded conical shell panels by a meshless method, Composite Structures 93: 649-664.
[8] Nemat-Alla M., 2003, Reduction of thermal stresses by developing two dimensional functionally graded materials, International Journal of Solids and Structures 40: 7339-7356.
[9] Nie G., Zhong Zh., 2010, Dynamic analysis of multi-directional functionally graded annular plates, Applied Mathematical Modelling 34: 608-616.
[10] Su Zh., Jin G., Shi Sh., Ye T., Jia X., 2014, A unified solution for vibration analysis of functionally graded cylindrical, conical shells and annular plates with general boundary conditions, International Journal of Mechanical Sciences 80: 62-80.
[11] Zhang S.L., Zhang Z.X., Xin Z.X., Pal K., Kim J.K., 2010, Prediction of mechanical properties of polypropylene/waste ground rubber tire powder treated by bitumen composites via uniform design and artificial neural networks, Materials & Design 31: 1900-1905.
[12] Ashrafi H.R., Jalal M., Garmsiri K., 2010, Prediction of load–displacement curve of concrete reinforced by composite fibers (steel and polymeric) using artificial neural network, Expert Systems with Applications 37(12): 7663-7668.
[13] Anderson D., Hines E.L., Arthur S.J., Eiap E.L., 1997, Application of artificial neural networks to the prediction of minor axis steel connections, Composite Structures 63: 685-692.
[14] Arslan M.A., Hajela P., 1997, Counter propagation neural networks in decomposition based optimal design, Composite Structures 65: 641-650.
[15] Ootao Y., Tanigawa Y., Nakamura T., 1999, Optimization of material composition of FGM hollow circular cylinder under thermal loading, a neural network approach, Composites Part B 30: 415-422.
[16] Han X., Xu D., Liu G.R., 2003, A computational inverse technique for material characterization of a functionally graded cylinder using a progressive neural network, Neuro Computing 51: 341-360.
[17] Jodaei A., Jalal M., Yas M.H., 2012, Free vibration analysis of functionally graded annular plates by state-space based differential quadrature method and comparative modeling by ANN, Composites Part B 43: 340-353.
[18] Jodaei A., Jalal M., Yas M.H., 2013,Three-dimensional free vibration analysis of functionally graded piezoelectric annular plates via SSDQM and comparative modeling by ANN, Mathematical and Computer Modelling 57 (5–6): 1408-1425.
[19] Chen W.Q., Lv C.F., Bian Z.G., 2003, Elasticity solution for free vibration of laminated beams, Composite Structures 62: 75-82.
[20] Shu C., Richards B.E., 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier–Stokes equations, International Journal for Numerical Methods in Fluids 15: 791-798.
[21] Shu C., 2000, Differential Quadrature and its Application in Engineering, Berlin, Springer.
[22] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics, a review, Applied Mechanics Reviews 49: 1-28.
[23] Gantmacher F.R., 1960, The Theory of Matrix, Chelsea, New York.
[24] Haykin S., 2000, Neural Networks-A Comprehensive Foundation, New York, Macmillan College Publishing Company.
