In this paper, free vibration assessments of sandwich plates with a square, triangle, and circle cutouts were performed both theoretically and practically. Cutouts are inescapable in structural applications, and their presence significantly affects the structure's dynamic qualities. A finite element model was created with ANSYS software to investigate the vibration properties of sandwich plates with cutouts. The model's development takes into account the Shell 292 element, a 12-noded element with six degrees of freedom that may be used to examine various fixed edge configurations. The natural frequencies and mode shapes of the sandwich structure were determined for various edge numbers.
1.
Altenbach,
H., Altenbach, J., & Kissing, W. (2004b). Mechanics
of composite structural elements. In Springer eBooks. https://doi.org/10.1007/978-3-662-08589-9
2.
Shivakumar, K. N., Argade, S.
D., Sadler, R. L., Sharpe, M. M., Dunn, L., Swaminathan, G., & Sorathia, U.
(2006). Processing and properties of a lightweight fire-resistant core material
for sandwich structures. Journal of advanced materials, 38(1), 32-38.
3.
Saha,
G. C., Kalamkarov, A. L., & Georgiades, A. V. (2007). Effective elastic characteristics of honeycomb sandwich composite
shells made of generally orthotropic materials. Composites Part a Applied
Science and Manufacturing, 38(6), 1533–1546. https://doi.org/10.1016/j.compositesa.2007.01.002
4.
Sivakumar,
K., Iyengar, N., & Deb, K. (1999). FREE VIBRATION
OF LAMINATED COMPOSITE PLATES WITH CUTOUT. Journal of Sound and Vibration,
221(3), 443–470. https://doi.org/10.1006/jsvi.1998.2034
5.
Ju, F., Lee, H., & Lee, K.
(1995). Free vibration of composite plates with delaminations around cutouts.
Composite Structures, 31(2), 177–183. https://doi.org/10.1016/0263-8223(95)00016-x
6.
Liew, K., Kitipornchai, S.,
Leung, A., & Lim, C. (2003). Analysis of the free vibration of rectangular
plates with central cut-outs using the discrete Ritz method. International
Journal of Mechanical Sciences, 45(5), 941–959. https://doi.org/10.1016/s0020-7403(03)00109-7
7.
Mishra,
N., Basa, B., & Sarangi, S. K. (2016). Free
vibration Analysis of Sandwich Plates with cutout. IOP Conference Series
Materials Science and Engineering, 149, 012149.
https://doi.org/10.1088/1757-899x/149/1/012149.
8.
NE, A., & NK, R. (2009).
Stress Analysis of Composite Plates with Different Types of Cutouts. Deleted
Journal, 2(1), 11–29. https://doi.org/10.37649/aengs.2009.14251
9.
Barut, A., Madenci, E., &
Nemeth, M. P. (2011). Stress and buckling analyses of laminates with a cutout
using a {3,0}-plate theory. Journal of Mechanics of Materials and Structures,
6(6), 827–868. https://doi.org/10.2140/jomms.2011.6.827
10.
Boay, C. G. (1996). Free
vibration of laminated composite plates with a central circular hole. Composite
Structures, 35(4), 357–368. https://doi.org/10.1016/s0263-8223(96)00037-2
11.
Bhardwaj, H., Vimal, J., &
Sharma, A. (2015). Study of free vibration analysis of laminated composite
plates with triangular cutouts. Engineering Solid Mechanics, 3(1), 43-50.
12.
Bhatt, D., Mishra, Y., &
Sharma, P. K. (2014). Model Analysis of Centre Circular Cutout of Laminated
Composite Plate and Square Skew Plate by using FEM. International Journal of
Engineering Sciences & Research Technology, 3, 8-16.
13.
Brethee, K. F. (2009). Free
vibration analysis of a symmetric and anti-symmetric laminated composite plate
with a cutout at the center. Al-Qadisiya Journal for Engineering Sciences,
2(2).
14.
Thai,
C. H., Ferreira, A., & Nguyen-Xuan, H. (2018). Isogeometric
analysis of size-dependent isotropic and sandwich functionally graded
microplates based on modified strain gradient elasticity theory. Composite
Structures, 192, 274–288. https://doi.org/10.1016/j.compstruct.2018.02.060
15.
Abdelaziz,
H. H., Atmane, H. A., Mechab, I., Boumia, L., Tounsi, A., & Abbas, A. B. E.
(2011). Static analysis of functionally graded sandwich
plates using an efficient and simple refined theory. Chinese Journal of
Aeronautics, 24(4), 434–448. https://doi.org/10.1016/s1000-9361(11)60051-4
16.
Alibeigloo, A., & Alizadeh,
M. (2015). Static and free vibration analyses of functionally graded sandwich
plates using state space differential quadrature method. European Journal of
Mechanics - a/Solids, 54, 252–266. https://doi.org/10.1016/j.euromechsol.2015.06.011
17.
Li,
D., Deng, Z., Xiao, H., & Jin, P. (2017). Bending
analysis of sandwich plates with different face sheet materials and
functionally graded soft core. Thin-Walled Structures, 122, 8–16. https://doi.org/10.1016/j.tws.2017.09.033
18.
Akavci, S. (2016). Mechanical
behavior of functionally graded sandwich plates on elastic foundation.
Composites Part B Engineering, 96, 136–152. https://doi.org/10.1016/j.compositesb.2016.04.035
19.
Falkowicz, K. (2023).
Experimental and numerical failure analysis of thin-walled composite plates
using progressive failure analysis. Composite Structures, 305, 116474. https://doi.org/10.1016/j.compstruct.2022.116474
20.
Zhen, W., Zhengliang, L., Jie,
Z., Senlin, Z., Yushan, X., & Xiaohui, R. (2021). A five-variable model and
experiments for dynamic analysis of sandwich plates with holes. Mechanics of
Advanced Materials and Structures, 29(27), 6312–6329. https://doi.org/10.1080/15376494.2021.1975328
21.
Falkowicz, K. (2021). Buckling
numerical analysis of composite plate element in asymmetrical configuration.
Journal of Physics Conference Series, 1736(1), 012029. https://doi.org/10.1088/1742-6596/1736/1/012029
22.
Kim, Y., & Park, J. (2020).
A theory for the free vibration of a laminated composite rectangular plate with
holes in aerospace applications. Composite Structures, 251, 112571. https://doi.org/10.1016/j.compstruct.2020.112571
23.
Atilla, D., Sencan, C., Kiral,
B. G., & Kiral, Z. (2020). Free vibration and buckling analyses of
laminated composite plates with cutout. Archive of Applied Mechanics, 90(11),
2433–2448. https://doi.org/10.1007/s00419-020-01730-2
24.
Mandal, A., Ray, C., &
Haldar, S. (2019). Experimental and Numerical Free Vibration Analysis of
Laminated Composite Plates with Arbitrary Cut-Outs. Journal of the Institution
of Engineers (India) Series C, 101(2), 281–289. https://doi.org/10.1007/s40032-019-00537-7
25.
Venkateshappa,
S. C., Kumar, P., & Ekbote, T. (2018). Free
vibration studies on plates with central cut-out. CEAS Aeronautical Journal,
10(2), 623–632. https://doi.org/10.1007/s13272-018-0339-7