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Natural Frequency Analysis of Composite Skew Plates with Embedded Shape Memory Alloys in Thermal Environment | ||
| AUT Journal of Mechanical Engineering | ||
| مقاله 7، دوره 1، شماره 2، اسفند 2017، صفحه 179-190 اصل مقاله (1.09 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2017.12655.5389 | ||
| نویسندگان | ||
| S. Kamarian؛ M. Shakeri* | ||
| Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran | ||
| چکیده | ||
| In this study, free vibration analysis of laminated composite skew plates with embedded shape memory alloys under thermal loads is presented. The plates are assumed to be made of NiTi/Graphite/ Epoxy with temperature-dependent properties. The thermo-mechanical behavior of shape memory alloy wires is predicted by employing one-dimensional Brinson’s model. The governing equations are derived based on first-order shear deformation theory and solved using generalized differential quadrature technique as an efficient and accurate numerical tool. Some examples are provided to show the accuracy and efficiency of the applied numerical method by comparing the present results with those available in the literature. A parametric study is carried out to demonstrate the influence of skew angle, pre-strain and volume fraction of shape memory alloys, temperature, and stacking sequence of layers on the natural frequencies of the structure. Results represent that shape memory alloys can change the vibrational characteristics of shape memory alloy hybrid composite skew plates by a considerable amount. The numerical results also reveal that the effect of shape memory alloy wires on natural frequencies of composite plates with simply supported boundaries is higher than those with clamped boundaries. | ||
تازه های تحقیق | ||
[1] W. Li, Y. Li, Vibration and sound radiation of an asymmetric laminated plate in thermal environments, Acta Mechanica Solida Sinica, 28(1) (2015) 11-22. [2] X. Li, K. Yu, J. Han, H. Song, R. Zhao, Buckling and vibro-acoustic response of the clamped composite laminated plate in thermal environment, International Journal of Mechanical Sciences, 119 (2016) 370-382. [3] A.M. Zenkour, Thermal bending of layered composite plates resting on elastic foundations using four-unknown shear and normal deformations theory, Composite Structures, 122 (2015) 260-270. [4] K. Marynowski, Free vibration analysis of an axially moving multiscale composite plate including thermal effect, International Journal of Mechanical Sciences, 120 (2017) 62-69. [5] Y. Fan, H. Wang, Nonlinear bending and postbuckling analysis of matrix cracked hybrid laminated plates containing carbon nanotube reinforced composite layers in thermal environments, Composites Part B: Engineering, 86 (2016) 1-16. [6] M.K. Singha, L. Ramachandra, J. Bandyopadhyay, Vibration behavior of thermally stressed composite skew plate, Journal of sound and vibration, 296(4) (2006) 1093-1102. [7] R. Heuer, Equivalences in the analysis of thermally induced vibrations of sandwich structures, Journal of Thermal Stresses, 30(6) (2007) 605-621. [8] S. Singh, A. Chakrabarti, Static, vibration and buckling analysis of skew composite and sandwich plates under thermo mechanical loading, International Journal of Applied Mechanics and Engineering, 18(3) (2013) 887- 898. [9] L.C. Brinson, One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable, Journal of intelligent material systems and structures, 4(2) (1993) 229-242. [10] R.-x. Zhang, Q.-Q. Ni, A. Masuda, T. Yamamura, M. Iwamoto, Vibration characteristics of laminated composite plates with embedded shape memory alloys, Composite structures, 74(4) (2006) 389-398. [11] R. Yongsheng, S. Shuangshuang, Large amplitude flexural vibration of the orthotropic composite plate embedded with shape memory alloy fibers, Chinese Journal of Aeronautics, 20(5) (2007) 415-424. [12] F. Forouzesh, A.A. Jafari, Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method, Thin-Walled Structures, 93 (2015) 158-168. [13] A. Parhi, B. Singh, Nonlinear free vibration analysis of shape memory alloy embedded laminated composite shell panel, Mechanics of Advanced Materials and Structures, 24(9) (2017) 713-724. [14] M.B. Dehkordi, S. Khalili, E. Carrera, Non-linear transient dynamic analysis of sandwich plate with composite face-sheets embedded with shape memory alloy wires and flexible core-based on the mixed LW (layer-wise)/ESL (equivalent single layer) models, Composites Part B: Engineering, 87 (2016) 59-74. [15] M. Samadpour, M. Sadighi, M. Shakeri, H. Zamani, Vibration analysis of thermally buckled SMA hybrid composite sandwich plate, Composite Structures, 119 (2015) 251-263. [16] G.J. Turvey, I.H. Marshall, Buckling and postbuckling of composite plates, Springer Science & Business Media,2012. [17] C.W. Bert, M. Malik, Differential quadrature method in computational mechanics: a review, Applied Mechanics Reviews, 49 (1996) 1-28. [18] P. Malekzadeh, G. Karami, Differential quadrature nonlinear analysis of skew composite plates based on FSDT, Engineering Structures, 28(9) (2006) 1307-1318. [19] T. Kant, C. Babu, Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models, Composite Structures, 49(1) (2000) 77-85. [20] A. Vosoughi, P. Malekzadeh, M.R. Banan, M.R. Banan, Thermal postbuckling of laminated composite skew plates with temperature-dependent properties, Thin- Walled Structures, 49(7) (2011) 913-922. [21] K. Malekzadeh, A. Mozafari, F.A. Ghasemi, Free vibration response of a multilayer smart hybrid composite plate with embedded SMA wires, Latin American Journal of Solids and Structures, 11(2) (2014) 279-298. [22] H. Asadi, M. Eynbeygi, Q. Wang, Nonlinear thermal stability of geometrically imperfect shape memory alloy hybrid laminated composite plates, Smart Materials and Structures, 23(7) (2014) 075012. | ||
| کلیدواژهها | ||
| Shape memory alloys؛ Hybrid composites؛ Skew plates؛ Natural frequency | ||
| مراجع | ||
|
[1] W. Li, Y. Li, Vibration and sound radiation of an asymmetric laminated plate in thermal environments, Acta Mechanica Solida Sinica, 28(1) (2015) 11-22.
[2] X. Li, K. Yu, J. Han, H. Song, R. Zhao, Buckling and vibro-acoustic response of the clamped composite laminated plate in thermal environment, International Journal of Mechanical Sciences, 119 (2016) 370-382.
[3] A.M. Zenkour, Thermal bending of layered composite plates resting on elastic foundations using four-unknown shear and normal deformations theory, Composite Structures, 122 (2015) 260-270.
[4] K. Marynowski, Free vibration analysis of an axially moving multiscale composite plate including thermal effect, International Journal of Mechanical Sciences, 120 (2017) 62-69.
[5] Y. Fan, H. Wang, Nonlinear bending and postbuckling analysis of matrix cracked hybrid laminated plates containing carbon nanotube reinforced composite layers in thermal environments, Composites Part B: Engineering, 86 (2016) 1-16.
[6] M.K. Singha, L. Ramachandra, J. Bandyopadhyay, Vibration behavior of thermally stressed composite skew plate, Journal of sound and vibration, 296(4) (2006) 1093-1102.
[7] R. Heuer, Equivalences in the analysis of thermally induced vibrations of sandwich structures, Journal of Thermal Stresses, 30(6) (2007) 605-621.
[8] S. Singh, A. Chakrabarti, Static, vibration and buckling analysis of skew composite and sandwich plates under thermo mechanical loading, International Journal of Applied Mechanics and Engineering, 18(3) (2013) 887- 898.
[9] L.C. Brinson, One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable, Journal of intelligent material systems and structures, 4(2) (1993) 229-242.
[10] R.-x. Zhang, Q.-Q. Ni, A. Masuda, T. Yamamura, M. Iwamoto, Vibration characteristics of laminated composite plates with embedded shape memory alloys, Composite structures, 74(4) (2006) 389-398.
[11] R. Yongsheng, S. Shuangshuang, Large amplitude flexural vibration of the orthotropic composite plate embedded with shape memory alloy fibers, Chinese Journal of Aeronautics, 20(5) (2007) 415-424.
[12] F. Forouzesh, A.A. Jafari, Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method, Thin-Walled Structures, 93 (2015) 158-168.
[13] A. Parhi, B. Singh, Nonlinear free vibration analysis of shape memory alloy embedded laminated composite shell panel, Mechanics of Advanced Materials and Structures, 24(9) (2017) 713-724.
[14] M.B. Dehkordi, S. Khalili, E. Carrera, Non-linear transient dynamic analysis of sandwich plate with composite face-sheets embedded with shape memory alloy wires and flexible core-based on the mixed LW (layer-wise)/ESL (equivalent single layer) models, Composites Part B: Engineering, 87 (2016) 59-74.
[15] M. Samadpour, M. Sadighi, M. Shakeri, H. Zamani, Vibration analysis of thermally buckled SMA hybrid composite sandwich plate, Composite Structures, 119 (2015) 251-263.
[16] G.J. Turvey, I.H. Marshall, Buckling and postbuckling of composite plates, Springer Science & Business Media,2012.
[17] C.W. Bert, M. Malik, Differential quadrature method in computational mechanics: a review, Applied Mechanics Reviews, 49 (1996) 1-28.
[18] P. Malekzadeh, G. Karami, Differential quadrature nonlinear analysis of skew composite plates based on FSDT, Engineering Structures, 28(9) (2006) 1307-1318.
[19] T. Kant, C. Babu, Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models, Composite Structures, 49(1) (2000) 77-85.
[20] A. Vosoughi, P. Malekzadeh, M.R. Banan, M.R. Banan, Thermal postbuckling of laminated composite skew plates with temperature-dependent properties, Thin- Walled Structures, 49(7) (2011) 913-922.
[21] K. Malekzadeh, A. Mozafari, F.A. Ghasemi, Free vibration response of a multilayer smart hybrid composite plate with embedded SMA wires, Latin American Journal of Solids and Structures, 11(2) (2014) 279-298.
[22] H. Asadi, M. Eynbeygi, Q. Wang, Nonlinear thermal stability of geometrically imperfect shape memory alloy hybrid laminated composite plates, Smart Materials and Structures, 23(7) (2014) 075012. | ||
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