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http://dx.doi.org/10.12989/scs.2022.42.4.427

Optimum arrangement of stiffener on the buckling behaviour of stiffened composite panels with reinforced elliptical cutouts subjected to non-uniform edge load  

Kalgutkar, Akshay Prakash (Department of Civil Engineering, Indian Institute of Technology Bombay)
Banerjee, Sauvik (Department of Civil Engineering, Indian Institute of Technology Bombay)
Rajanna, T. (Department of Civil Engineering, BMS College of Engineering)
Publication Information
Steel and Composite Structures / v.42, no.4, 2022 , pp. 427-446 More about this Journal
Abstract
Cutouts in the beams or plates are often unavoidable due to inspection, maintenance, ventilation, structural aesthetics purpose, and sometimes to lighten the structures. Therefore, there will be a substantial reduction in the strength of the structure due to the introduction of the cutouts. However, these cutouts can be reinforced with the different patterns of ribs (stiffener) to enhance the strength of the structure. The present study highlights the influence of the elliptical cutout reinforced with a different pattern of ribs on the stability performance of such stiffened composite panels subjected to non-uniform edge loads by employing the Finite element (FE) technique. In the present formulation, a 9-noded heterosis element is used to model the skin, and a 3-noded isoparametric beam element is used to simulate the rib that is attached around a cutout in different patterns. The displacement compatibility condition is employed between the plate and stiffener, and arbitrary orientations are taken care by introducing respective transformation matrices. The effect of shear deformation and rotary inertia are incorporated in the formulation. A new mesh configuration is developed to house the attached ribs around an elliptical cutout with different patterns. Initially, a study is performed on the panels with different stiffener schemes for various ply orientations and for different stiffener depth to width ratios (ds/bs) to determine an optimal stiffener configuration. Further, various parametric studies are conducted on an obtained optimal stiffened panel to understand the effect of cutout size, cutout orientation, panel aspect ratio, and boundary conditions. Finally, from the analysis, it can be observed that the arrangement of the stiffener attached to a panel has a major impact on the buckling capacity of the stiffened panel. The stiffener's depth to width ratio also significantly influences the buckling characteristic.
Keywords
9-noded heterosis element; buckling; composite laminates; elliptical cutout; finite element method; nonuniform edge loads; reinforced cutout;
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Times Cited By KSCI : 10  (Citation Analysis)
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1 Swaminathan, K., Sachin, H. and Rajanna, T. (2021), "Buckling analysis of functionally graded materials by dynamic approach", Materials Today: Proceedings, 45, 172-178. https://doi.org/10.1016/j.matpr.2020.10.412.   DOI
2 Tamijani, A.Y. and Kapania, R.K. (2010), "Buckling and static analysis of curvilinearly stiffened plates using mesh-free method", AIAA J., 48(12), 2739-2751. https://doi.org/10.2514/1.43917.   DOI
3 Shahsavari, D., Karami, B. and Janghorban, M. (2019), "On buckling analysis of laminated composite plates using a nonlocal refined four-variable model", Steel Compos. Struct., 32(2), 173-187. http://dx.doi.org/10.12989/scs.2019.32.2.173.   DOI
4 Samaniego, E., Anitescu, C., Goswami, S., Nguyen-Thanh, V.M., Guo, H., Hamdia, K., Zhuang, X. and Rabczuk, T. (2020), "An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications", Comput. Meth. Appl. Mech. Eng., 362, 112790. https://doi.org/10.1016/j.cma.2019.112790.   DOI
5 Shanmugam, N.E., Thevendran, V. and Tan, Y.H. (1999), "Design formula for axially compressed perforated plates", Thin-Walled Struct., 34(1), 1-20. https://doi.org/10.1016/S0263-8231(98)00052-4.   DOI
6 Shimizu, S. (2007), "Tension buckling of plate having a hole", Thin-Walled Struct., 45(10), 827-833. https://doi.org/10.1016/j.tws.2007.08.033.   DOI
7 Soni, G., Singh, R. and Mitra, M. (2013), "Buckling Behavior of Composite Laminates (with and without cutouts) subjected to nonuniform in-plane loads", Int. J. Struct. Stab. Dyn., 13(08), 1350044. https://doi.org/10.1142/S0219455413500442.   DOI
8 Komur, M.A. and Sonmez, M. (2008), "Elastic buckling of rectangular plates under linearly varying in-plane normal load with a circular cutout", J,. Mech. Res. Commu., 35(6), 361-371. https://doi.org/10.1016/j.mechrescom.2008.01.005.   DOI
9 Zakeri, M., Mozaffari, A. and Katirae, M.A. (2018), "Influence of stiffener edge on the buckling load of holed composite plates", Steel Compos. Struct., 29(5), 681-688. http://dx.doi.org/10.12989/scs.2018.29.5.681.   DOI
10 Hughes, T.J. and Cohen, M. (1978), "The "heterosis" finite element for plate bending", J. Comput. Stuct., 9(5), 445-450. https://doi.org/10.1016/0045-7949(78)90041-X.   DOI
11 Timoshenko, S. (1970), Theory Of Elastic Stability, McGraw-Hill
12 Zhong, H. and Gu, C. (2007), "Buckling of symmetrical cross-ply composite rectangular plates under a linearly varying in-plane load", Compos. Struct., 80(1), 42-48. https://doi.org/10.1016/j.compstruct.2006.02.030.   DOI
13 Yu, C.L., Feng, J.C. and Chen, K. (2015), "Ultimate uniaxial compressive strength of stiffened panel with opening under lateral pressure", Int. J. Naval Architect. Ocean Eng., 7(2), 399-408. https://doi.org/10.1515/ijnaoe-2015-0028.   DOI
14 Bathe, K.J. (2006), Finite Element Procedures, Prentice Hall, Pearson Education, Inc.
15 Daikh, A.A. and Zenkour, A.M. (2019), "Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory", Mater. Res. Express, 6, 115707. https://doi.org/10.1088/2053-1591/ab48a9.   DOI
16 Ghannadpour, S., Najafi, A. and Mohammadi, B. (2006), "On the buckling behavior of cross-ply laminated composite plates due to circular/elliptical cutouts", J. Compos. Struct., 75(1-4), 3-6. https://doi.org/10.1016/j.compstruct.2006.04.071.   DOI
17 Liew, K.M., Peng, L. and Kitipornchai, S. (2007), "Geometric nonlinear analysis of folded plate structures by the spline strip kernel particle method", Int. J. Numer. Methods Eng., 71(9), 1102-1133. https://doi.org/10.1002/nme.1984.   DOI
18 Moen, C.D. and Schafer, B. (2009), "Elastic buckling of thin plates with holes in compression or bending", J. Thin-Walled Struct., 47(12), 1597-1607. https://doi.org/10.1016/j.tws.2009.05.001.   DOI
19 Ghavami, K. (1994), "Experimental study of stiffened plates in compression up to collapse", J. Construct. Steel Res., 28(2), 197-221. https://doi.org/10.1016/0143-974X(94)90043-4.   DOI
20 Thai, C.H., Kulasegaram, S., Tran, L.V. and Nguyen-Xuan, H. (2014), "Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach", Comput. Struct., 141, 94-112. https://doi.org/10.1016/j.compstruc.2014.04.003.   DOI
21 Mittelstedt, C. (2008), "Explicit analysis and design equations for buckling loads and minimum stiffener requirements of orthotropic and isotropic plates under compressive load braced by longitudinal stiffeners", Thin-Walled Struct., 46(12), 1409-1429. https://doi.org/10.1016/j.tws.2008.03.007.   DOI
22 Deolasi, P., Datta, P. and Prabhakar, D. (1995), "Buckling and vibration of rectangular plates subjected to partial edge loading (compression or tension)", J. Struct. Eng., 22(3), 135-144.
23 Vu-Bac, N., Duong, T.X., Lahmer, T., Zhuang, X., Sauer, R.A., Park, H.S. and Rabczuk, T. (2018), "A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures", Comput. Meth. Appl. Mech. Eng., 331, 427-455. https://doi.org/10.1016/j.cma.2017.09.034.   DOI
24 Wang, Y. and Qiao, P. (2021), "Improved buckling analysis of stiffened laminated composite plates by spline finite strip method", J. Compos. Struct., 255, 112936. https://doi.org/10.1016/j.compstruct.2020.112936.   DOI
25 Hamedani, S.J., Khedmati, M.R. and Azkat, S. (2012), "Vibration analysis of stiffened plates using finite element method", Latin Amer. J. Solids Struct., 9(1), 1-20. https://doi.org/10.1590/S1679-78252012000100001.   DOI
26 Kalgutkar, A.P., Banerjee, S. and Rajanna, T. (2021), "Effect of elliptical cutouts on buckling and vibration characteristics of stiffened composite panels under non-uniform edge loads", Mech. Based Des. Struct. Machines, 1-15. https://doi.org/10.1080/15397734.2021.1999266.   DOI
27 Komur, M.A., Sen, F., Atas, A. and Arslan, N. (2010), "Buckling analysis of laminated composite plates with an elliptical/circular cutout using FEM", J. Adv. Eng. Software, 41(2), 161-164. https://doi.org/10.1016/j.advengsoft.2009.09.005.   DOI
28 Lal, R. and Saini, R. (2013), "Buckling and vibration of nonhomogeneous rectangular plates subjected to linearly varying in-plane force", J. Shock Vib., 20(5), 879-894. https://doi.org/10.3233/SAV-130791.   DOI
29 Sadamoto, S., Tanaka, S., Taniguchi, K., Ozdemir, M., Bui, T., Murakami, C. and Yanagihara, D. (2017), "Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation", J. Thin-Walled Struct., 117, 303-313. https://doi.org/10.1016/j.tws.2017.04.012.   DOI
30 Muddappa, Y.P.P., Rajanna, T. and Giridhara, G. (2021b), "Effect of tensile and compressive nonlinear edge loads on the buckling performance of hybrid metal composite laminates with cutouts", Mech. Based Des. Struct. Machines, 01-19. https://doi.org/10.1080/15397734.2021.1956331.   DOI
31 Patel, S. and Sheikh, A. (2016), "Buckling response of laminated composite stiffened plates subjected to partial in-plane edge loading", Int. J. Comput. Methods Eng. Sci. Mech., 17(5-6), 322-338. https://doi.org/10.1080/15502287.2016.1231235.   DOI
32 Xu, Y., Tong, Y., Liu, M. and Suman, B. (2016), "A new effective smeared stiffener method for global buckling analysis of grid stiffened composite panels", J. Compos. Struct., 158 83-91. https://doi.org/10.1016/j.compstruct.2016.09.015.   DOI
33 Yathish Muddappa, P.P., Giridhara, G. and Rajanna, T. (2020), "Buckling behavior of interlaminar hybrid fiber metal laminate (HFMLs) subjected to uniaxial compressive loading", Mater. Today: Proceedings. https://doi.org/10.1016/j.matpr.2020.10.111.   DOI
34 Topal, U. and Uzman, U. (2008), "Maximization of buckling load of laminated composite plates with central circular holes using MFD method", Struct. Multidisciplinary Optimization, 35(2), 131-139. https://doi.org/10.1007/s00158-007-0119-1.   DOI
35 Hamedani, S.J. and Ranji, A.R. (2013), "Buckling analysis of stiffened plates subjected to non-uniform biaxial compressive loads using conventional and super finite elements", J Thin-Walled Struct., 64, 41-49. https://doi.org/10.1016/j.tws.2012.12.004.   DOI
36 Peng, L., Liew, K. and Kitipornchai, S. (2006), "Buckling and free vibration analyses of stiffened plates using the FSDT mesh-free method", Journal of Sound Vibration, 289(3), 421-449. https://doi.org/10.1016/j.jsv.2005.02.023.   DOI
37 Nguyen, T.N., Ngo, T.D. and Nguyen-Xuan, H. (2017), "A novel three-variable shear deformation plate formulation: Theory and Isogeometric implementation", Comput. Methods Appl. Mechanics Eng., 326, 376-401. https://doi.org/10.1016/j.cma.2017.07.024.   DOI
38 Rajanna, T. and Gowda, VML. (2021b), "Dynamic behaviour of perforated laminated panels under biaxial non-uniform edge loads based on FE approach", Materials Today: Proceedings, 45, 179-183. https://doi.org/10.1016/j.matpr.2020.10.413.   DOI
39 Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press
40 Onkar, A.K., Upadhyay, C.S. and Yadav, D. (2006), "Stochastic Finite Element Buckling Analysis of Laminated Plates With Circular Cutout Under Uniaxial Compression", J. Appl. Mech., 74(4), 798-809. https://doi.org/10.1115/1.2711230.   DOI
41 Qin, Y., Luo, K.R. and Yan, X. (2020), "Buckling analysis of steel plates in composite structures with novel shape function", Steel Compos. Struct., 35(3), 405-413. http://dx.doi.org/10.12989/scs.2020.35.3.405.   DOI
42 Rajanna, T. and Gowda, VML. (2021a), "Effect of non-uniform inplane bending and edge conditions on the stability behaviour of laminated panels with and without cutouts", Mater. Today: Proceedings, 45, 156-160. https://doi.org/10.1016/j.matpr.2020.10.402.   DOI
43 Cook, R.D. (2007), Concepts and Applications of Finite Element Aanalysis, John Wiley & Sons
44 Baba, B.O. (2007), "Buckling Behavior of Laminated Composite Plates", J. Reinforced Plastics Compos., 26(16), 1637-1655. https://doi.org/10.1177/0731684407079515.   DOI
45 Baba, B.O. and Baltaci, A. (2007), "Buckling characteristics of symmetrically and antisymmetrically laminated composite plates with central cutout", J. Appl. Compos. Mater., 14(4), 265-276. https://doi.org/10.1007/s10443-007-9045-z.   DOI
46 Bedair, O. (2009), "Analysis and limit state design of stiffened plates and shells: A world view", J. Appl. Mech. Rev., 62(2), 020801. https://doi.org/10.1115/1.3077137.   DOI
47 Deng, J., Wang, X., Yuan, Z. and Zhou, G. (2019b), "Novel quadrature element formulation for simultaneous local and global buckling analysis of eccentrically stiffened plates", J. Aeros. Sci. Technol., 87, 154-166. https://doi.org/10.1016/j.ast.2019.02.019.   DOI
48 Deng, J., Wang, X., Yuan, Z. and Zhou, G.J.A.I.E.S. (2019a), "An efficient technique for simultaneous local and overall buckling analysis of stiffened panels", J. Advances Eng. Software, 131, 36-47. https://doi.org/10.1016/j.advengsoft.2019.03.002.   DOI
49 Guo, H., Zhuang, X. and Rabczuk, T. (2019), "A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate", Comput. Mater. Continua, 59(2). https://doi.org/10.32604/cmc.2019.06660   DOI
50 Rajanna, T., Subash Chandra, K.S. and Rao, K.V. (2021), "Influence of local stiffeners and cutout shapes on the vibration and stability characteristics of quasi-isotropic laminates under hygro-thermo-mechanical loadings", Defence Technology. https://doi.org/10.1016/j.dt.2021.10.002.   DOI
51 Subash Chandra, K.S., Rajanna, T. and Rao, K.V. (2020), "A Parametric study on the effect of elliptical cutouts for buckling behavior of composite plates under non-uniform edge loads", Latin Amer. J. Solids Struct., 17(8). https://doi.org/10.1590/1679-78256225.   DOI
52 Rajanna, T., Banerjee, S., Desai, Y.M. and Prabhakara, D. (2017), "Effect of boundary conditions and non-uniform edge loads on buckling characteristics of laminated composite panels with and without cutout", Int. J. Comput. Meth. Eng. Sci. Mech., 18(1), 64-76. https://doi.org/10.1080/15502287.2016.1276350.   DOI
53 Mukhopadhyay, M. (1989), "Vibration and stability analysis of stiffened plates by semi-analytic finite difference method, part II: Consideration of bending and axial displacements", J. Sound Vib., 130(1), 41-53. https://doi.org/10.1016/0022-460X(89)90518-X.   DOI
54 Rajanna, T., Banerjee, S., Desai, Y.M. and Prabhakara, D. (2018), "Effect of reinforced cutouts and ply-orientations on buckling behavior of composite panels subjected to non-uniform edge loads", Int. J. Struct. Stab. Dyn., 18(04), 1850058. https://doi.org/10.1142/S021945541850058X.   DOI
55 Singh, S.B. and Kumar, D. (2010), "Cutout shape and size effects on response of quasi-isotropic composite laminate under uniaxial compression", Struct. Eng. Mech., 35(3). http://dx.doi.org/10.12989/sem.2010.35.3.335.   DOI
56 Srivastava, A.K.L. (2012), "Vibration of Stiffened Plates with Cutout Subjected to Partial Edge Loading", J. Institut. Eng. (India): Series A, 93(2), 129-135. https://doi.org/10.1007/s40030-012-0018-3.   DOI
57 Subash Chandra, K.S., Rajanna, T. and Rao, K.V. (2021), "Hygrothermo-mechanical vibration and buckling analysis of composite laminates with elliptical cutouts under localized edge loads", Int. J. Struct. Stab. Dyn., 21(11), 2150150. https://doi.org/10.1142/S0219455421501509.   DOI
58 Jaunky, N., Knight Jr, N.F. and Ambur, D.R. (1996), "Formulation of an improved smeared stiffener theory for buckling analysis of grid-stiffened composite panels", J. Compos. Part B: Eng., 27(5), 519-526. https://doi.org/10.1016/1359-8368(96)00032-7.   DOI
59 Ravi Kumar, L., Datta, P. and Prabhakara, D. (2005), "Vibration and stability behavior of laminated composite curved panels with cutout under partial in-plane loads", Int. J. Struct. Stab. Dyn., 5(01), 75-94. https://doi.org/10.1142/S0219455405001507.   DOI
60 Reddy, J. and Phan, N. (1985), "Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory", J. Sound Vib., 98(2), 157-170. https://doi.org/10.1016/0022-460X(85)90383-9.   DOI
61 Komur, M.A. and Sonmez, M. (2015), "Elastic buckling behavior of rectangular plates with holes subjected to partial edge loading", J. Construct. Steel Research, 112, 54-60. https://doi.org/10.1016/j.jcsr.2015.04.020.   DOI
62 Kumar, L.R., Datta, P. and Prabhakara, D. (2004), "Dynamic instability characteristics of doubly curved panels subjected to partially distributed follower edge loading with damping", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Science, 218(1), 67-81. https://doi.org/10.1243/095440604322786956.   DOI
63 Kumar, Y.S. and Mukhopadhyay, M. (1999), "A new finite element for buckling analysis of laminated stiffened plates", J. Compos. Struct., 46(4), 321-331. https://doi.org/10.1016/S0263-8223(99)00059-8.   DOI
64 Leissa, A. and Ayoub, E. (1988), "Vibration and buckling of a simply supported rectangular plate subjected to a pair of inplane concentrated forces", J. Sound Vib., 127(1), 155-171. https://doi.org/10.1016/0022-460X(88)90356-2.   DOI
65 Muddappa, Y.P.P., Rajanna, T. and Giridhara, G. (2021a), "Effect of compression and tension types of concentrated edge loads on buckling and vibration behavior of interlaminar hybrid fibre metal laminates", Compos. Part C: Open Access. https://doi.org/10.1016/j.jcomc.2021.100167.   DOI
66 Muddappa, Y.P.P., Rajanna, T. and Giridhara, G. (2021c), "Effect of reinforced cutouts on the buckling and vibration performance of hybrid fibre metal laminates", Mech. Based Des. Struct. Machines, https://doi.org/10.1080/15397734.2021.1948862.   DOI