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Original Article

Nonlinear dynamic instability of laminated composite stiffened plates subjected to in-plane pulsating loading

, , ORCID Icon & ORCID Icon
Received 14 Feb 2023, Accepted 17 May 2023, Published online: 04 Jun 2023

References

  • S. Pradyumna, and A. Gupta, Nonlinear dynamic stability of composite plates with piezoelectric layers subjected to periodic in-plane load, IES J. A, vol. 4, no. 1, pp. 17–28, 2011. DOI: 10.1080/19373260.2011.539074.
  • V.V. Bolotin, The Dynamic Stability of Elastic Systems, Vol-II. Holden-Day, San Francisco, 1964.
  • V. Balamurugan, M. Ganapathi, and T.K. Varadan, Nonlinear dynamic instability of laminated composite plates using the finite element method, Comput. Struct., vol. 60, no. 1, pp. 125–130, 1996. DOI: 10.1016/0045-7949(95)00368-1.
  • A.G. Radu, Dynamic Stability of Composite Laminates, VDM Verlag Dr. Muller, U.S.A., 2009.
  • A.A. Popov, Parametric resonance in cylindrical shells: a case study in the nonlinear vibration of structural shells, Eng. Struct., vol. 25, no. 6, pp. 789–799, 2003. DOI: 10.1016/S0141-0296(03)00006-3.
  • D.A. Evensen, Nonlinear vibrations of cylindrical shells-logical rationale, J. Fluids Struct., vol.13, no. 1, pp. 161–164, 1999. DOI: 10.1006/jfls.1998.0198.
  • J.M. Hutt, and A.E. Salam, Dynamic stability of plates by finite element method. J. Eng. Mech. ASCE, vol. 97, pp. 897–899, 1971.
  • L.W. Chen, and J.Y. Yang, Dynamic stability of laminated composite plates by finite method, Comput. Struct., vol. 36, no. 5, pp. 845–851, 1990.
  • R.S. Srinivasan, and P. Chellapandi, Dynamic stability of rectangular laminated composite plates, Comput. Struct., vol. 24, no. 2, pp. 233–238, 1986. DOI: 10.1016/0045-7949(86)90282-8.
  • J. Moorthy, J.N. Reddy, and R.H. Pault, Parametric instability of laminated composite plates with transverse shear deformation, Int. J. Solids Struct., vol. 26, no. 7, pp. 801–811, 1990. DOI: 10.1016/0020-7683(90)90008-J.
  • Y.W. Kwon, Finite element analysis of dynamic instability of layered composite plates using a higher order bending theory, Comput. Struct., vol. 38, no. 1, pp. 57–62, 1991. DOI: 10.1016/0045-7949(91)90123-4.
  • S.K. Sahu, and P.K. Datta, Parametric instability of doubly curved panels subjected to non-uniform harmonic loading, J. Sound Vib., vol. 240, no. 1, pp. 117–129, 2001. DOI: 10.1006/jsvi.2000.3187.
  • H.R. Ovesy, and J. Fazilati, Parametric instability analysis of laminated composite curved shells subjected to non-uniform in-plane load, Compos. Struct., vol. 108, pp. 449–455, 2014. DOI: 10.1016/j.compstruct.2013.09.048.
  • S.K. Sahu, and P.K. Datta, Dynamic stability of laminated composite curved panels with cutouts, J. Eng. Mech., vol. 129, no. 11, pp. 1245–1253, 2003. DOI: 10.1061/(ASCE)0733-9399(2003)129:11(1245).
  • P. Dey, and M.K. Singha, Dynamic stability analysis of composite skew plates subjected to periodic in-plane load, Thin. Walled Struct., vol. 44, no. 9, pp. 937–942, 2006. DOI: 10.1016/j.tws.2006.08.023.
  • R. Kumar, L.S. Ramachandra, and B. Banerjee, Dynamic instability of damped composite skew plates under non-uniform in-plane periodic loading, Int. J. Mech. Sci., vol. 103, pp. 74–88, 2015. DOI: 10.1016/j.ijmecsci.2015.09.002.
  • R. Kumar, A. Kumar, and S.K. Panda, Parametric resonance of composite skew plate under non-uniform in-plane loading, Struct. Eng. Mech., vol. 55, no. 2, pp. 435–459, 2015. DOI: 10.12989/sem.2015.55.2.435.
  • M.A.R. Loja, J.I. Barbosa, and C.M. Mota Soares, Dynamic instability of variable stiffness composite plates, Compos. Struct., vol. 182, pp. 402–411, 2017. DOI: 10.1016/j.compstruct.2017.09.046.
  • S. Samukham, G. Raju, C.P. Vyasarayani, and P.M. Weaver, Dynamic instability of curved variable angle tow composite panel under axial compression, Thin. Walled Struct., vol. 138, pp. 302–312, 2019. DOI: 10.1016/j.tws.2019.02.015.
  • R.C. Duffield, and N. Willems, Parametric resonance of stiffened rectangular plates, J. Appl. Mech. ASME, vol. 39, no. 1, pp. 217–226, 1972. DOI: 10.1115/1.3422616.
  • R.G. Merrit, and N. Willems, Parametric resonance of skew stiffened plates, J. Appl. Mech. ASME, vol. 40, no. 2, pp. 439–444, 1973. DOI: 10.1115/1.3423003.
  • J. Thomas, and B.H.A. Abbas, Vibration characteristics and dynamic stability of stiffened plates, AIAA J., vol. 5, pp. 277–285, 1983. DOI: 10.2514/6.1983-890.
  • C.L. Liao, and C.R. Cheng, Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces, J. Sound Vib., vol. 174, no. 3, pp. 335–351, 1994. DOI: 10.1006/jsvi.1994.1280.
  • A.K.L. Srivastava, P.K. Datta, and A.H. Sheikh, Dynamic instability of stiffened plates subjected to non-uniform harmonic in-plane edge loading, J. Sound Vib., vol. 262, no. 5, pp. 1171–1189, 2003. DOI: 10.1016/S0022-460X(02)01094-5.
  • A.K.L. Srivastava, P.K. Datta, and A.H. Sheikh, Dynamic stability of stiffened plates with cutout subjected to harmonic in-plane partial edge loading, Int. J. Crashworthiness, vol. 10, no. 4, pp. 403–417, 2005. DOI: 10.1533/ijcr.2005.0358.
  • S.N. Patel, P.K. Datta, and A.H. Sheikh, Dynamic instability analysis of laminated composite stiffened shell panels subjected to in-plane harmonic edge loading, Struct. Eng. Mech., vol. 22, no. 4, pp. 483–510, 2006. DOI: 10.12989/sem.2006.22.4.483.
  • S.N. Patel, P.K. Datta, and A.H. Sheikh, Parametric study on the dynamic instability behavior of laminated composite stiffened plate, J. Eng. Mech., vol. 135, no. 11, pp. 1331–1341, 2009. DOI: 10.1061/(ASCE)0733-9399(2009)135:11(1331).
  • H.R. Ovesy, and J. Fazilati, Lay-up effects on dynamic instability of moderately thick stiffened curved panels, AMM., vol. 152–154, pp. 1477–1482, 2012. DOI: 10.4028/www.scientific.net/AMM.152-154.1477.
  • J. Fazilati, and H.R. Ovesy, Parametric instability of laminated longitudinally stiffened curved panels with cutout using higher order FSM, Compos. Struct., vol. 95, pp. 691–696, 2013. DOI: 10.1016/j.compstruct.2012.08.034.
  • Z. Zhong, A. Liu, Y. Pi, J. Deng, H. Lu, and S. Li, Analytical and experimental studies on dynamic instability of simply supported rectangular plates with arbitrary concentrated masses, Eng. Struct., vol. 196, pp. 109288, 2019. DOI: 10.1016/j.engstruct.2019.109288.
  • S. Mondal, and L.S. Ramachandra, Dynamic instability of damped composite plates with embedded delaminations, J. Sound Vib., vol. 455, pp. 221–240, 2019. DOI: 10.1016/j.jsv.2019.05.014.
  • S. Baştürk, The non-linear dynamic response of functionally graded basalt/nickel composite plates, Mech. Adv. Mater. Struct., vol. 26, no. 20, pp. 1719–1734, 2019. DOI: 10.1080/15376494.2018.1446109.
  • Y.X. Hao, K.F. Zhao, W. Zhang, and S.W. Yang, Nonlinear dynamics and dynamic instability of smart structural cross-ply laminated cantilever plates with MFC layer using zigzag theory, Appl. Math. Modell., vol. 79, pp. 639–671, 2020. DOI: 10.1016/j.apm.2019.10.056.
  • R. Pandey, A.K. Upadhyay, K.K. Shukla, and A. Jain, Non-linear dynamic response of elastically supported laminated composite plates, Mech. Adv. Mater. Struct., vol. 19, no. 6, pp. 397–420, 2012. DOI: 10.1080/15376494.2010.528161.
  • M. Darabi, and R. Ganesan, Nonlinear dynamic instability analysis of laminated composite thin plates subjected to periodic in-plane loads, Nonlinear Dyn., vol. 91, no. 1, pp. 187–215, 2018. DOI: 10.1007/s11071-017-3863-9.
  • G.L. Ostiguy, and R.M. Evan-Lwanowski, Influence of the aspect ratio on the dynamic stability and nonlinear response of rectangular plates, J. Mech. Design., vol. 104, no. 2, pp. 417–425, 1982. DOI: 10.1115/1.3256362.
  • X. Huang, X. Jia, J. Yang, and Y. Wu, Non-linear vibration and dynamic response of three-dimensional braided composite plates, Mech. Adv. Mater. Struct., vol. 15, no. 1, pp. 53–63, 2008. DOI: 10.1080/15376490701750405.
  • M.K. Singha, and R. Daripa, Nonlinear vibration and dynamic stability analysis of composite plates, J. Sound Vib., vol. 328, no. 4–5, pp. 541–554, 2009. DOI: 10.1016/j.jsv.2009.08.020.
  • M. Ganapathi, B.P. Patel, P. Boisse, and M. Touratier, Nonlinear dynamic stability characteristics of elastic plates subjected to periodic in-plane load, Int. J. Non. Linear Mech., vol. 35, no. 3, pp. 467–480, 2000. DOI: 10.1016/S0020-7462(99)00034-7.
  • M. Ganapathi, P. Boisse, and D. Solaut, Non-linear dynamic stability analysis of composite laminates under periodic in-plane compressive loads, Int. J. Numer. Meth. Eng., vol. 46, no. 6, pp. 943–956, 1999. DOI: 10.1002/(SICI)1097-0207(19991030)46:6<943::AID-NME732>3.0.CO;2-L.
  • V. Singh, and R. Kumar, A semi-analytical framework for non-linear dynamic response of multi-phase laminated composite plate under the transverse patch and in-plane pulse localized loadings, Mech. Adv. Mater. Struct., pp. 1–28, 2022. DOI: 10.1080/15376494.2022.2085827.
  • R. Azzara, M. Filippi, and A. Pagani, Variable-kinematic finite beam elements for geometrically nonlinear dynamic analyses, Mech. Adv. Mater. Struct., pp. 1–9, 2022. DOI: 10.1080/15376494.2022.2091185.
  • S. Ahmad, B.M. Irons, and O.C. Zienkiewicz, Analysis of thick and thin shell structures by curved finite elements, Int. J. Numer. Meth. Eng., vol. 2, no. 3, pp. 419–451, 1970. DOI: 10.1002/nme.1620020310.
  • S.N. Patel, Nonlinear bending analysis of laminated composite stiffened plates, Steel Compos. Struct., vol. 17, no. 6, pp. 867–890, 2014. DOI: 10.12989/scs.2014.17.6.867.
  • S.N. Patel, and A.H. Sheikh, Buckling response of laminated composite stiffened plates subjected to partial in-plane edge loading, Int. J. Comput. Methods Eng. Sci. Mech., vol. 17, no. 5–6, pp. 322–338, 2016. DOI: 10.1080/15502287.2016.1231235.
  • R.D. Wood, and B. Schrefler, Geometrically non‐linear analysis—A correlation of finite element notations, Int. J. Numer. Meth. Eng., vol. 12, no. 4, pp. 635–642, 1978. DOI: 10.1002/nme.1620120408.
  • T.S. Koko, Super finite elements for nonlinear static and dynamic analysis of stiffened plate structures, Ph.D. Thesis, University of British Columbia, Vancouver, Canada, 1990.
  • P. Ribeiro, and M. Petyt, Multi-modal geometrical non-linear free vibration of fully clamped composite laminated plates, J. Sound Vib., vol. 225, no. 1, pp. 127–152, 1999. DOI: 10.1006/jsvi.1999.2230.

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