Vu Dinh Quang

Main Article Content

Abstract

The object of this study is eccentrically stiffened sandwich thick plates with the core layer made of negative poisson material. The analytical method base on the first order shear deformation theory (FSDT) is applied to analyse dynamic response and vibration of the plates. The numerical results of the study have been compared with other studies to evaluate the reliability of the calculation. The analysis results of the nonlinear dynamic response and the vibration show that the elastic foundation and the graphene volume ratio positively impact the behavior of the plates. On the other hand, imperfection and thermal environment have a negative effect on the behavior of sandwich plates. Research has also been performed to evaluate the effect of blast load, axial load and shape on the dynamic response of the plate.

Keywords: Sandwich plates, FSDT, Auxetic, Dynamic response, Vibration, Blast loads.

References

N. V. Nguyen, N. X. Hung, T. N. Nguyen, J. Kang, J. Lee, A Comprehensive Analysis of Auxetic Honeycomb Sandwich Plates with Graphene Nanoplatelets Reinforcement, Compos. Struct, Vol. 259, 2021, 113213, https://doi.org/10.1016/j.compstruct.2020.113213.
[2] C. Li, H. S. Shen, H. Wang, Postbuckling Behavior of Sandwich Plates With Functionally Graded Auxetic 3D Lattice Core, Compos. Struct, Vol. 237, 2020, 111894, https://doi.org/10.1016/j.compstruct.2020.111894.
[3] C. Li, H. S. Shen, H. Wang, Z. Yu, Large Amplitude Vibration of Sandwich Plates With Functionally Graded Auxetic 3D Lattice Core, Int. J. Mech. Sci, Vol. 174, 2020, 105472, https://doi.org/10.1016/j.ijmecsci.2020.105472.
[4] M. H. Hajmohammad, R. Kolahchi, M. S. Zarei, A. H. Nouri, Dynamic Response of Auxetic Honeycomb Plates Integrated with Agglomerated CNT-Reinforced Face Sheets Subjected to Blast Load Based on Visco-Sinusoidal Theory, Int. J. Mech. Sci, Vol. 153–154, 2019, pp. 391–401, https://doi.org/10.1016/j.ijmecsci.2019.02.008.
[5] J. Zhang, X. Zhu, X. Yang, W. Zhang, Transient Nonlinear Responses of An Auxetic Honeycomb Sandwich Plate Under Impact Loads, Int. J. Impact Eng, Vol. 134, 2019, 103383, https://doi.org/10.1016/j.ijimpeng.2019.103383.
[6] N. D. Duc, P. H. Cong, Nonlinear Dynamic Response and Vibration of Sandwich Composite Plates with Negative Poisson’s Ratio in Auxetic Honeycombs, J. Sandw. Struct. Mater, Vol. 20, 2016, pp. 692–717, https://doi.org/10.1177/1099636216674729.
[7] H. T. Thai, T. K. Nguyen, T. P. Vo, J. Lee, Analysis of Functionally Graded Sandwich Plates Using A New First-Order Shear Deformation Theory, Eur. J. Mech. A/Solids, Vol. 45, 2014, pp. 211–225, https://doi.org/10.1016/j.euromechsol.2013.12.008.
[8] N. T. Phuong, V. H. Nam, D. T. Dong, Nonlinear Vibration of Functionally Graded Sandwich Shallow Spherical Caps Resting on Elastic Foundations by Using First-Order Shear Deformation Theory in Thermal Environment, J. Sandw. Struct. Mater, Vol. 22, 2018, pp. 1157–1183, https://doi:10.1177/1099636218782645.
[9] S. Amir, M. Khorasani, H. BabaAkbar-Zarei, Buckling Analysis of Nanocomposite Sandwich Plates with Piezoelectric Face Sheets Based on Flexoelectricity and First-Order Shear Deformation Theory, J. Sandw. Struct. Mater, Vol. 22, 2018, pp. 2186–2209, https://doi:10.1177/1099636218795385.
[10] N. D. Duc, P. H. Cong, V. D. Quang, Nonlinear Dynamic and Vibration Analysis of Piezoelectric Eccentrically Stiffened FGM Plates in Thermal Environment, Int. J. Mech. Sci, Vol. 115–116, 2016, pp. 711–722, https://doi.org/10.1016/j.ijmecsci.2016.07.010.
[11] N. D. Duc, V. D. Quang, P. D. Nguyen, T. M. Chien, Nonlinear Dynamic Response of Functional Graded Porous Plates on Elastic Foundation Subjected to Thermal and Mechanical Loads, J. Appl. Comput. Mech, Vol. 4, No. 4, 2018, pp. 245¬–259, https://dx.doi.org/10.22055/jacm.2018.23219.1151.
[12] N. D. Duc, Nonlinear Static and Dynamic Stability of Functionally Graded Plates and Shells, Vietnam Natl Univ Press, Hanoi, 2014.
[13] P. H. Cong, P. K. Quyet, N. D. Duc, Effects of Lattice Stiffeners and Blast Load on Nonlinear Dynamic Response and Vibration of Auxetic Honeycomb Plates, Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci, 2021, https://doi.org/10.1177/0954406221992797
[14] N. D. Duc, T. Q. Quan, P. H. Cong, Nonlinear Vibration of Auxetic Plates and Shells, Vietnam Natl Univ Press, Hanoi, 2021.
[15] S. H. Hashemi, M. Fadaee, S. R. Atashipour, A New Exact Analytical Approach for Free Vibration of Reissner–Mindlin Functionally Graded Rectangular Plates, Int. J. Mech. Sci, Vol. 53, 2011, pp. 11–22, https://doi.org/10.1016/j.ijmecsci.2010.10.002.
[16] S. H. Hashemi, M. Arsanjani, Exact Characteristic Equations for Some of Classical Boundary Conditions of Vibrating Moderately Thick Rectangular Plates, Int. J. Solids Struct, Vol. 42, No. 3–4, 2005, pp. 819–853, https://doi.org/10.1016/j.ijsolstr.2004.06.063