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http://dx.doi.org/10.12989/sem.2021.79.5.653

Nonlinear dynamic buckling analysis of imperfect viscoelastic composite laminated plates  

Pour, Mehran Mohammad Hossein (Aerospace Engineering Department and Center of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology)
Ovesy, Hamid Reza (Aerospace Engineering Department and Center of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology)
Publication Information
Structural Engineering and Mechanics / v.79, no.5, 2021 , pp. 653-663 More about this Journal
Abstract
The aim of this paper is to study the effects of linear viscoelastic behavior on dynamic buckling response of imperfect composite laminated plates subjected to in-plane dynamic loads by implementing semi-analytical finite strip method (FSM). The semi-analytical FSM converges with a comparatively small number of strips and correspondingly small number of degrees of freedom. Thus, it is usually implemented more easily and faster than many other computational methods. The governing equations are derived by using classical laminated plate theory (CLPT) and the behavior of plate is assumed to be geometrically nonlinear through Von-Karman assumptions. The Newmark's implicit time integration method in conjunction with the Newton-Raphson iteration are employed to solve the nonlinear governing equation. A Kelvin-Voigt viscoelastic model is considered, and the effects of viscosity coefficient, thickness of the layers of the composite plate and boundary conditions on the nonlinear dynamic buckling response are discussed. In order to justify the accuracy of the results, some of them are verified against those available in other sources. It is also shown that the nonlinear dynamic buckling response of an imperfect viscoelastic composite laminated plate is significantly different from the elastic one by considering different viscosity coefficients.
Keywords
dynamic buckling; finite strip method; Kelvin-Voigt model; linear viscoelastic;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Latifi, M., Kharazi, M. and Ovesy, H.R. (2018), "Nonlinear dynamic instability analysis of sandwich beams with integral viscoelastic core using different criteria", Compos. Struct., 191, 89-99. https://doi.org/10.1016/j.compstruct.2018.02.032.   DOI
2 Loughlan, J. (1994), "A finite strip analysis of the buckling characteristics of some composite stiffened shear panels", Compos. Struct., 27, 283-294. https://doi.org/10.1016/0263-8223(94)90089-2.   DOI
3 Ovesy, H.R. and Ghannadpour, S.A.M. (2006), "Geometric nonlinear analysis of imperfect composite laminated plates under end shortening and pressure loading using finite strip method", Compos. Struct., 75, 100-105. https://doi.org/10.1016/j.compstruct.2006.04.005.   DOI
4 Ovesy, H.R., Ghannadpur, S.A.M. and Morada, G. (2005), "Geometric nonlinear analysis of composite laminated plates with initial imperfection under end shortening using two versions of finite strip method", Compos. Struct., 71, 307-314. https://doi.org/10.1016/j.compstruct.2005.09.030.   DOI
5 Ovesy, H.R., Totounferoush, A. and Ghannadpour, S.A.M. (2015), "Dynamic buckling analysis of delaminated composite plates using semi-analytical finite strip method", J. Sound. Vib., 343, 131-143. https://doi.org/10.1016/j.jsv.2015.01.003.   DOI
6 Reddy, J.N. (1983), "Geometrically nonlinear transient analysis of laminated composite plates", AIAA J., 21, 621-629. https://doi.org/10.2514/3.8122.   DOI
7 Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells, Theory and Analysis, CRC Press, USA.
8 Sherafat, M.H., Ghannadpour, A.A.M. and Ovesy, H.R. (2013), "Pressure loading, end-shortening and through-thickness shear effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method", Struct. Eng. Mech., 45, 677-691. https://doi.org/10.12989/sem.2013.45.5.677.   DOI
9 Zenkour, A.M. (2004), "Buckling of fiber-reinforced viscoelastic composite plates using various plate theories", J. Eng. Math., 50, 75-93. https://doi.org/10.1023/B:ENGI.0000042123.94111.35.   DOI
10 Akoz, A.Y., Kadioglu, F. and Tekin, G. (2015), "Quasi-static and dynamic analysis of viscoelastic plates", Mech. Time-Depend. Mater., 19, 483-503. https://doi.org/10.1007/s11043-015-9274-8.   DOI
11 Ari-Gur, J. and Simonetta, S.R. (1997), "Dynamic pulse buckling of rectangular composite plates", Compos. B. Eng., 28, 301-308. https://doi.org/10.1016/S1359-8368(96)00028-5.   DOI
12 Chakrapani, S.K., Barnard, D.J. and Dayal, V. (2016), "Nonlinear forced vibration of carbon fiber/epoxy prepreg composite beams: theory and experiment", Compos. B. Eng., 91, 513-521. https://doi.org/10.1016/j.compositesb.2016.02.009.   DOI
13 Jafari, N., Azhari, M. and Heidarpour, A. (2014), "Local buckling of rectangular viscoelastic composite plates using finite strip method", Mech. Adv. Mater. Struct., 21, 263-272. https://doi.org/10.1080/15376494.2012.680671.   DOI
14 Chen, M.J., Tham, L.G. and Cheung, Y.K. (1984), "Analysis of thin parallelogram plates' bending by spline finite strip method", Appl. Math. Mech. (English Ed.), 5, 1727-1735. https://doi.org/10.1007/BF01904916.   DOI
15 Ghorbanpour Arani, A., Cheraghbak, A. and Kolahchi, R (2016), "Dynamic buckling of FGM viscoelastic nano-plates resting on orthotropic elastic medium based on sinusoidal shear deformation theory", Struct. Eng. Mech., 60, 489-505. https://doi.org/10.12989/sem.2016.60.3.489.   DOI
16 Jafari, N., Azhari, M. and Heidarpour, A. (2011), "Local buckling of thin and moderately thick variable thickness viscoelastic composite plates", Struct. Eng. Mech., 40, 783-800. https://doi.org/10.12989/sem.2011.40.6.783.   DOI
17 Kennedy, D. and Featherston, C.A. (2010), "Exact strip analysis and optimum design of aerospace structures", Aeronaut. J., 114, 505-512. https://doi.org/10.1017/S0001924000003997.   DOI
18 Khadem Moshir, S., Eipakchi, H. and Sohani, F. (2017), "Free vibration behavior of viscoelastic annular plates using first order shear deformation theory", Struct. Eng. Mech., 62, 607-618. https://doi.org/10.12989/sem.2017.62.5.607.   DOI
19 Hajikazemi, M., Ovesy, H.R., Assaee, H. and Sadr, M.H. (2014), "Post-buckling finite strip analysis of thick functionally graded plates", Struct. Eng. Mech., 49, 569-595. https://doi.org/10.12989/sem.2014.49.5.569.   DOI
20 Tran, L.V. and Kim, S.E. (2018), "Stability analysis of multilayerd plates subjected to partial edge compression with and without initial imperfection", Compos. Struct., 205, 26-41. https://doi.org/10.1016/j.compstruct.2018.08.065.   DOI
21 Zhao, K., Kennedy, D. and Featherston, C.A. (2019), "Exact strip postbuckling analysis of composite plates under compression and shear", Aeronaut. J., 123, 658-677. https://doi.org/10.1017/aer.2019.27.   DOI
22 Chopra, A.K. (2012), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Pearson Prentice Hall, New Jersey, USA.