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Arabian Journal for Science and Engineering

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17-03-2021 | Research Article-Civil Engineering

Linear Transient Dynamic Analysis of Plates With and Without Cutout

Authors: Chittaranjan B. Nayak, S. N. Khante

Published in: Arabian Journal for Science and Engineering | Issue 11/2021

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Abstract

The present work exhibits the analysis of a plate with and without cutout considering the dynamic analysis in a transient zone with its application in the civil, structural, and aerospace industry. For this, first-order shear deformable C⁰ continuous Finite Element (FE) is implemented to examine transient response of plate. The governing ODE of motion’s is integrated using central difference explicit time integration scheme. A lumped mass matrix is obtained by a special diagonlization scheme and the total mass of the element is conserved by inducing effective rotary inertia terms. A FE program is developed based on derived FE formulation to investigate the effect of dynamic loading on such plates. The analysis exhibits the results in terms of displacement, forces, and bending moment of the plate for various aspect ratios and different parameters. The results are shown in terms of tables and graphs for smaller to larger cutout in plates with its different aspect ratio considering transient analysis. The results reveal that transient dynamics analysis shows a considerable difference in the behavior of plates with and without cutout in terms of time period, amplitude, and bending moment than that obtained from static analysis.

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Reissner, E.: On the theory of transverse bending of elastic plates. Int. J. Solids Struct. 12(8), 545–554 (1976). https://doi.org/10.1016/0020-7683(76)90001-9MathSciNetCrossRefMATH

Mindlin, R.D.: Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 18, 31–38 (1951). https://doi.org/10.1007/978-1-4613-8865-4_29CrossRefMATH

Connolly, A.M.; Hinton, E.; Luxmoore, A.R.: Finite-element modelling of dynamic cracking in wide plates. Eng. Fract. Mech. 23(1), 299–309 (1986). https://doi.org/10.1016/0013-7944(86)90194-3CrossRef

Khante, S.N.; Rode, V.: Nonlinear dynamic bending analysis of plates using a higher-order shear deformation theory. Non. Dyn. 43, 257–275 (2006). https://doi.org/10.1007/s11071-006-7831-zCrossRefMATH

Khante, S.N.; Rode, V.; Kant, T.: Nonlinear transient dynamic response of damped plates using a higher order shear deformation theory. Non. Dyn. 47, 389–403 (2007). https://doi.org/10.1007/s11071-006-9038-8CrossRefMATH

Nayak, C.B.; Walke, S.; Kokare, S.: Optimal structural design of diagrid structure for tall structure. In: ICRRM 2019 – System reliability, quality control, safety, maintenance and management, pp. 263–271 (2019). https://doi.org/10.1007/978-981-13-8507-0_39.

Kant, T.; Swaminathan, K.: Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory. Comp. Struct. 56(4), 329–344 (2002). https://doi.org/10.1016/S0263-8223(02)00017-XCrossRef

Sladek, J.; Sladek, V.; Mang, H.A.: Meshless formulations for simply supported and clamped plate problems. Int. J. Num. Meth. Eng. 55(3), 359–375 (2002). https://doi.org/10.1002/nme.503MathSciNetCrossRefMATH

Wankhade, R.L.; Bajoria, K.M.: Buckling analysis of piezolaminated plates using higher order shear deformation theory. Int. J. Compos. Mater. 3(4), 92–99 (2013). https://doi.org/10.5923/j.cmaterials.20130304.02CrossRef

10.

Shahrokh, H.; Amin, S.B.: Elastic impact response of a nonlocal rectangular plate. Int. J. Solids Struct. 109, 93–100 (2017). https://doi.org/10.1016/j.ijsolstr.2017.01.010CrossRef

11.

Besseghier, A.; Houari, M.S.A.; Tounsi, A.; Mahmoud, S.R.: Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory. Smart Struct. Syst. 19(6), 601–614 (2017). https://doi.org/10.12989/sss.2017.19.6.601CrossRef

12.

Wankhade, R.L.; Bajoria, K.M.: Numerical optimization of piezolaminated beams under static and dynamic excitations. J. Sci. Adv. Mater. Dev. 2(2), 255–262 (2017). https://doi.org/10.1016/j.jsamd.2017.03.002CrossRef

13.

Bendine, K.; Wankhade, R.L.: Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm. Int. J. Adv. Struct. Eng. 9, 375–384 (2017). https://doi.org/10.1007/s40091-017-0173-xCrossRef

14.

Raghu, P.; Rajagopal, A.; Reddy, J.N.: Nonlocal transient dynamic analysis of aminated composite plates. Mech. Adv. Mater. Struct. 27(13), 1076–1084 (2020). https://doi.org/10.1080/15376494.2020.1718810CrossRef

15.

Zghal, S.; Frikha, A.; Dammak, F.: Static analysis of functionally graded carbon nanotube-reinforced plate and shell structures. Comp. Struct. 176, 1107–1123 (2017). https://doi.org/10.1016/j.compstruct.2017.06.015CrossRefMATH

16.

Zghal, S.; Frikha, A.; Dammak, F.: Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures. Appl. Math. Model. 53, 132–155 (2017). https://doi.org/10.1016/j.apm.2017.08.021MathSciNetCrossRefMATH

17.

Zghal, S.; Frikha, A.; Dammak, F.: Non-linear bending analysis of nanocomposites reinforced by grapheme-nanotubes with finite shell element and membrane enhancement. Eng. Struct. 158, 95–109 (2018). https://doi.org/10.1016/j.engstruct.2017.12.017CrossRef

18.

Zghal, S.; Frikha, A.; Dammak, F.: Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels. Comp. Part B Eng. 150, 165–183 (2018). https://doi.org/10.1016/j.compositesb.2018.05.037CrossRefMATH

19.

Frikha, A.; Zghal, S.; Dammak, F.: Finite rotation three and four nodes shell elements for functionally graded carbon nanotubes-reinforced thin composite shells analysis. Comp. Meth. Appl. Mech. Eng. 329, 289–311 (2017). https://doi.org/10.1016/j.cma.2017.10.013MathSciNetCrossRefMATH

20.

Frikha, A.; Zghal, S.; Dammak, F.: Dynamic analysis of functionally graded carbon nanotubes-reinforced plate and shell structures using a double directors finite shell element. Aero. Sci. Tech. 78, 438–451 (2018). https://doi.org/10.1016/j.ast.2018.04.048CrossRefMATH

21.

Trabelsi, S.; Frikha, A.; Zghal, S.; Dammak, F.: Thermal post-buckling analysis of functionally graded material structures using a modified FSDT. Int. J. Mech. Sci. 144, 74–89 (2018). https://doi.org/10.1016/j.ijmecsci.2018.05.033CrossRef

22.

Trabelsi, S.; Frikha, A.; Zghal, S.; Dammak, F.: A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells. Eng. Struct. 178, 444–459 (2019). https://doi.org/10.1016/j.engstruct.2018.10.047CrossRef

23.

Trabelsi, S.; Zghal, S.; Dammak, F.: Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures. J. Braz. Soc. Mech. Sci. Eng. 42, 1–22 (2020). https://doi.org/10.1007/s40430-020-02314-5CrossRef

24.

Zghal, S.; Ataoui, D.; Dammak, F.: Static bending analysis of beams made of functionally graded porous materials. An Int. J. Mech. Based Design Struct. Mach. 2020, 1–18 (2020). https://doi.org/10.1080/15397734.2020.1748053CrossRef

25.

Zghal, S.; Dammak, F.: Vibrational behavior of beams made of functionally graded materials by using a mixed formulation. J. Mech. Eng. Sci. 234(18), 3650–3666 (2020). https://doi.org/10.1177/0954406220916533CrossRef

26.

Gruben, G.; Langseth, M.; Fagerholt, E.; Hopperstad, O.S.: Low-velocity impact on high-strength steel sheets: an experimental and numerical study. Int. J. Impact Eng. 88, 153–171 (2016). https://doi.org/10.1016/j.ijimpeng.2015.10.001CrossRef

27.

Subramaniam, K.V.; Nian, W.; Andreopoulos, Y.: Blast response simulation of an elastic structure: evaluation of the fluid-structure interaction effect. Int. J. Impact Eng. 36(7), 965–974 (2009). https://doi.org/10.1016/j.ijimpeng.2009.01.001CrossRef

28.

Aune, V.; Valsamos, G.; Casadei, F.; Larcher, M.; Langseth, M.; Borvik, T.: Numerical study on the structural response of blast-loaded thin aluminium and steel plates. Int. J. Impact Eng. 99, 131–144 (2017). https://doi.org/10.1016/j.ijimpeng.2016.08.010CrossRef

29.

Taylor, G.I.: The pressure and impulse of submarine explosion waves on plates. In: Batchelor, G.K. (eds.), The Scientific Papers of Sir G. I. Taylor, Volume III: Aerodynamics and the Mechanics of Projectiles and Explosions, pp. 287–303. Cambridge University Press (1963)

30.

US Army Corps of Engineers, Naval Facilities Engineering Command, Air Force Civil Engineer Support Agency. Structures to resist the effects of accidental explosions. UFC 3–340–02, pp.1–12. US Department of Defense, Washington, DC (2008)

31.

Nayak, C.B.; Jain, M.A.; Walke, S.B.: Parametric study of dome with and without opening. J. Inst. Eng. India Ser. A 101(4), 1–13 (2020). https://doi.org/10.1007/s40030-020-00447-3CrossRef

32.

Langdon, G.S.; Rossiter, I.B.; Balden, V.H.; Nurick, G.N.: Performance of mild steel perforated plates as blast wave mitigation technique: Experimental and numerical investigation. Int. J. Impact Eng. 37(10), 1021–1036 (2010). https://doi.org/10.1016/j.ijimpeng.2010.06.001CrossRef

33.

Fallah, N.; Parayandeh-Shahrestany, A.; Golkoubi, H.: A finite volume formulation for the elasto-plastic analysis of rectangular Mindlin Reissner plates, a non-layered approach. Civil Eng. Infra. J. 50(2), 293–310 (2017). https://doi.org/10.7508/ceij.2017.02.006CrossRef

34.

Reismann, H.; Tendorf, Z.A.: Dynamic of initially stressed plates. J. Appl. Mech. 43(2), 304–308 (1976). https://doi.org/10.1115/1.3423829CrossRefMATH

Title: Linear Transient Dynamic Analysis of Plates With and Without Cutout
Authors: Chittaranjan B. Nayak
S. N. Khante
Publication date: 17-03-2021
Publisher: Springer Berlin Heidelberg
Published in: Arabian Journal for Science and Engineering / Issue 11/2021
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI: https://doi.org/10.1007/s13369-021-05523-9

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