Yıl 2017,
Cilt: 9 Sayı: 2, 39 - 54, 19.04.2017
Ali Ghorbanpour Arani
,
Elham Haghparast
Hassan Babaakbar Zarei
Kaynakça
- [1] Thostenson, E.T., Wei Chou, T., On the elastic properties of carbon nanotube-based composites: modelling and characterization. Journal of Physics D: Applied Physics, 36, 573-582, 2003.
- [2] Zhu, P., Lei, Z.X., Liew, K.L., Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Composite Structures, 94, 1450-1460, 2012.
- [3] Lei, Z.X., Liew, K.M., Yu, J.L., Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment. Composite Structures, 106, 128-138, 2013.
- [4] Alibeigloo, A., Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity. Composite Structures, 95, 612-622, 2013.
- [5] Nayak, A.K., Moy, S.S.J., Shenoi, R.A., Free vibration analysis of composite sandwich plates based on Reddy’s higher-order theory, Composite Part B: Engineering, 33, 505-519, 2002.
- [6] Ferreira, A.J.M., Roque, C.M.C., Jorge, R.M.N., Kansa, E.J., Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to variation of Murakami’s zigzag theory. European Journal of Mechanics - A/Solids, 30(4), 559–570, 2011.
- [7] Khalili, S.M.R., Mohammadi, Y., Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach. European Journal of Mechanics - A/Solids, 35, 61-74, 2012.
- [8] Sahoo, R., Singh, B.N., A new trigonometric zigzag theory for static analysis of laminated composite and sandwich plates. Aerospace Science and Technology, 35, 15-28, 2014.
- [9] Thai, H.T., Nguyen, T.K., Vo, T.P., Lee, J., Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. European Journal of Mechanics - A/Solids, 45, 211-225, 2014.
- [10] Plagianakos, T.S., Papadopoulos, E.G., Higher-order 2-D/3-D layerwise mechanics and finite elements for composite and sandwich composite plates with piezoelectric layers. Aerospace Science and Technology, 40, 150-163, 2015.
- [11] Natarajan, S., Haboussi, M., Manickam, G., Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets. Composite Structures, 113, 197-207, 2014.
- [12] Kheirikhah, M.M., Khalili, S.M.R., Malekzadeh Fard, K., Biaxial buckling analysis of soft-core composite sandwich plates using improved high-order theory. European Journal of Mechanics - A/Solids, 31, 54-66, 2012.
- [13] Ghayesh, M.H., Amabili, M., Paı¨doussis, M.P., Nonlinear dynamics of axially moving plates. Journal of Sound and Vibration, 332, 391-406, 2013.
- [14] Dong Yang, X., Qun Chen, L., Zu, J.W., Vibrations and stability of an axially moving rectangular composite plate. Journal of Applied Mechanics, 78, 011018-011029, 2010.
- [15] Hatami, S., Ronagh, H.R., Azhari, M., Exact free vibration analysis of axially moving viscoelastic plates. Computers & Structures, 86, 1738-1746, 2008.
- [16] Marynowsky, K., Free vibration analysis of the axially moving Levy-type viscoelastic plate. European Journal of Mechanics - A/Solids, 29, 879-886, 2010.
- [17] Marynowski, K., Grabski, J., Dynamic analysis of an axially moving plate subjected to thermal loading. Mechanics Research Communications, 51, 67-71, 2013.
- [18] Marynowski, K., Dynamic analysis of an axially moving sandwich beam with viscoelastic core. Composite Structures, 94, 2931-2936, 2012.
- [19] Bozhevolnaya, E., Sun, J.Q., Free vibration analysis of curved sandwich beams. Journal of Sandwich Structures and Materials, 6, 47-73, 2004.
- [20] Reddy, J.N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, 2004.
- [21] Ghorbanpour Arani, A., Haghparast, E., Heidari Rarani, M.H., Khoddami Maraghi, Z., Strain gradient shell model for nonlinear vibration analysis of visco-elastically coupled Boron Nitride nano-tube reinforced composite micro-tubes conveying viscous fluid. Computational Materials Science, 96, 448-458, 2015.
- [22] Wang, X.Z., Shen, S.H., Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Composite Part B: Engineering, 43, 411–421, 2012.
Vibration Characteristics of Axially Moving Titanium- Polymer Nanocomposite Faced Sandwich Plate Under Initial Tension
Yıl 2017,
Cilt: 9 Sayı: 2, 39 - 54, 19.04.2017
Ali Ghorbanpour Arani
,
Elham Haghparast
Hassan Babaakbar Zarei
Öz
In the present research, vibration and instability of axially moving
sandwich plate made of soft core and composite face sheets under initial
tension is investigated. Single-walled carbon nano-tubes (SWCNTs) are selected
as a reinforcement of composite face sheets inside Poly methyl methacrylate
(PMMA) matrix. Higher order shear deformation theory (HSDT) is utilized due to
its accuracy of polynomial functions than other plate theories. Based on
extended rule of mixture, the structural properties of composite face sheets
are taken into consideration. Motion equations are obtained by means of
Hamilton’s principle and solved analytically. Influences of various parameters
such as axially moving speed, volume fraction of CNTs, pre-tension, thickness
and aspect ratio of sandwich plate on the vibration characteristics of moving
system are discussed in details. The results indicated that the critical speed
of moving sandwich plate is strongly dependent on the volume fraction of CNTs.
Therefore, the critical speed of moving sandwich plate can be improved by
adding appropriate values of CNTs. The results of this investigation can be
used in design and manufacturing of marine vessels and aircrafts.
Kaynakça
- [1] Thostenson, E.T., Wei Chou, T., On the elastic properties of carbon nanotube-based composites: modelling and characterization. Journal of Physics D: Applied Physics, 36, 573-582, 2003.
- [2] Zhu, P., Lei, Z.X., Liew, K.L., Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Composite Structures, 94, 1450-1460, 2012.
- [3] Lei, Z.X., Liew, K.M., Yu, J.L., Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment. Composite Structures, 106, 128-138, 2013.
- [4] Alibeigloo, A., Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity. Composite Structures, 95, 612-622, 2013.
- [5] Nayak, A.K., Moy, S.S.J., Shenoi, R.A., Free vibration analysis of composite sandwich plates based on Reddy’s higher-order theory, Composite Part B: Engineering, 33, 505-519, 2002.
- [6] Ferreira, A.J.M., Roque, C.M.C., Jorge, R.M.N., Kansa, E.J., Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to variation of Murakami’s zigzag theory. European Journal of Mechanics - A/Solids, 30(4), 559–570, 2011.
- [7] Khalili, S.M.R., Mohammadi, Y., Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach. European Journal of Mechanics - A/Solids, 35, 61-74, 2012.
- [8] Sahoo, R., Singh, B.N., A new trigonometric zigzag theory for static analysis of laminated composite and sandwich plates. Aerospace Science and Technology, 35, 15-28, 2014.
- [9] Thai, H.T., Nguyen, T.K., Vo, T.P., Lee, J., Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. European Journal of Mechanics - A/Solids, 45, 211-225, 2014.
- [10] Plagianakos, T.S., Papadopoulos, E.G., Higher-order 2-D/3-D layerwise mechanics and finite elements for composite and sandwich composite plates with piezoelectric layers. Aerospace Science and Technology, 40, 150-163, 2015.
- [11] Natarajan, S., Haboussi, M., Manickam, G., Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets. Composite Structures, 113, 197-207, 2014.
- [12] Kheirikhah, M.M., Khalili, S.M.R., Malekzadeh Fard, K., Biaxial buckling analysis of soft-core composite sandwich plates using improved high-order theory. European Journal of Mechanics - A/Solids, 31, 54-66, 2012.
- [13] Ghayesh, M.H., Amabili, M., Paı¨doussis, M.P., Nonlinear dynamics of axially moving plates. Journal of Sound and Vibration, 332, 391-406, 2013.
- [14] Dong Yang, X., Qun Chen, L., Zu, J.W., Vibrations and stability of an axially moving rectangular composite plate. Journal of Applied Mechanics, 78, 011018-011029, 2010.
- [15] Hatami, S., Ronagh, H.R., Azhari, M., Exact free vibration analysis of axially moving viscoelastic plates. Computers & Structures, 86, 1738-1746, 2008.
- [16] Marynowsky, K., Free vibration analysis of the axially moving Levy-type viscoelastic plate. European Journal of Mechanics - A/Solids, 29, 879-886, 2010.
- [17] Marynowski, K., Grabski, J., Dynamic analysis of an axially moving plate subjected to thermal loading. Mechanics Research Communications, 51, 67-71, 2013.
- [18] Marynowski, K., Dynamic analysis of an axially moving sandwich beam with viscoelastic core. Composite Structures, 94, 2931-2936, 2012.
- [19] Bozhevolnaya, E., Sun, J.Q., Free vibration analysis of curved sandwich beams. Journal of Sandwich Structures and Materials, 6, 47-73, 2004.
- [20] Reddy, J.N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, 2004.
- [21] Ghorbanpour Arani, A., Haghparast, E., Heidari Rarani, M.H., Khoddami Maraghi, Z., Strain gradient shell model for nonlinear vibration analysis of visco-elastically coupled Boron Nitride nano-tube reinforced composite micro-tubes conveying viscous fluid. Computational Materials Science, 96, 448-458, 2015.
- [22] Wang, X.Z., Shen, S.H., Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Composite Part B: Engineering, 43, 411–421, 2012.