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Original Articles

Dynamic instability characteristic of damped laminated composite conical shell panel under periodic axial compression

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Pages 441-456 | Received 10 Aug 2018, Accepted 27 Dec 2018, Published online: 17 Feb 2019

References

  • V. V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, 1964.
  • R. M. Evan-Iwanowski, “On the parametric response of structures,” Appl. Mech. Rev., vol. 18, pp. 699–702, 1965.
  • G. J. Simitses, “Instability of dynamically loaded structures,” Appl. Mech. Rev., vol. 40, no. 10, pp. 1403–1408, 1987.
  • R. S. Srinivasan, P. Muralidharan, and L. S. Ramachandra, “Axisymmetric parametric stability of composite annular plates,” J. Sound Vib., vol. 140, no. 2, pp. 175–180, 1990.
  • A. Chattopadhyay and A. G. Radu, “Dynamic instability of composite laminates using higher order theory,” Comput. Struct., vol. 77, no. 5, pp. 453–460, 2000.
  • 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.
  • L. S. Ramachandra and S. K. Panda, “Dynamic instability of composite plates subjected to non-uniform in-plane loads,” J. Sound Vib., vol. 331, no. 1, pp. 53–65, 2012.
  • R. Kumar, S. C. Dutta, and S. K. Panda, “Linear and non-linear dynamic instability of functionally graded plate subjected to non-uniform loading,” Compos. Struct., vol. 154, pp. 219–230, 2016.
  • 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.
  • 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.
  • Y. T. Ng, Y. K. Lam, and J. N. Reddy, “Dynamic stability of cylindrical panels with transverse shear effects,” Int. J. Solids Struct., vol. 36, no. 23, pp. 3483–3496, 1999.
  • T. Y. Ng, L. I. Hua, K. Y. Lam, and C. T. Loy, “Parametric instability of conical shells by the generalized differential quadrature method,” Int. J. Numer. Meth. Eng., vol. 44, no. 6, pp. 819–837, 1999.
  • A. H. Sofiyev, Z. Zerin, B. P. Allahverdiev, D. Hui, F. Turan, and H. Erdem, “The dynamic instability of FG orthotropic conical shells within the SDT,” Steel Compos. Struct., vol. 25, pp. 581–591, 2017.
  • R. S. Udar and P. K. Datta, “Dynamic combination resonance characteristics of doubly curved panels subjected to non-uniform tensile edge loading with damping,” Struct. Eng. Mech., vol. 25, no. 4, pp. 481–500, 2007.
  • S. K. Panda and L. S. Ramachandra, “Parametric instability of laminated composite cylindrical panels subjected to periodic non-uniform in-plane loads,” Int. J. Appl. Mech., vol. 03, no. 04, pp. 845–865, 2011.
  • T. Dey and L. S. Ramachandra, “Linear and non-linear parametric instability behavior of cylindrical sandwich panels subjected to various mechanical edge loadings,” Mech. Adv. Mat. Struct., vol. 23, no. 1, pp. 8–21, 2016.
  • 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.
  • S. K. Sahu and P. K. Datta, “Dynamic stability of laminated composite curved panels with cutouts,” J. Eng. Mech. ASCE, vol. 129, no. 11, pp. 1245–1253, 2003.
  • K. M. Liew, Y. Y. Lee, T. Y. Ng, and X. Zhao, “Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method,” Int. J. Mech. Sci., vol. 49, no. 10, pp. 1156–1165, 2007.
  • Z. X. Lei, L. W. Zhang, K. M. Liew, and J. L. Yu, “Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method,” Compos. Struct., vol. 113, pp. 328–338, 2014.
  • 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.
  • A. H. Sofiyev, “Parametric vibration of FGM conical shells under periodic lateral pressure within the shear deformation theory,” Composites Part B, vol. 89, pp. 282–294, 2016.
  • A. H. Sofiyev and E. B. Pancar, “The effect of heterogeneity on the parametric instability of axially excited orthotropic conical shells,” Thin-Walled Struct., vol. 115, pp. 240–246, 2017.
  • X. Wang, W. D. Yang, and S. Yang, “Dynamic stability of carbon nanotubes reinforced composites,” Appl. Math. Model, vol. 38, no. 11–12, pp. 2934–2945, 2014.
  • X. Zhao and K. M. Liew, “An element-free analysis of mechanical and thermal buckling of functionally graded conical shell panels,” Int. J. Numer. Meth. Eng., vol. 86, no. 3, pp. 269–285, 2011.
  • D. H. Bich, N. T. Phuong, and H. V. Tung, “Buckling of functionally graded conical panels under mechanical loads,” Compos. Struct., vol. 94, no. 4, pp. 1379–1384, 2012.Vol.
  • J. Abediokhchi, M. A. Kouchakzadeh, and M. Shakouri, “Buckling analysis of cross-ply laminated conical panels using GDQ method,” Composites Part B, vol. 55, pp. 440–446, 2013.
  • K. M. Fard and M. Livani, “The buckling of truncated conical sandwich panels under axial compression and external pressure,” J. Mech. Eng. Sci., vol. 229, no. 11, pp. 1965–1978, 2015.
  • C. Demir, K. Mercan, and O. Civalek, “Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel,” Composites Part B, vol. 94, pp. 1–10, 2016.
  • R. Ansari and J. Torabi, “Numerical study on the buckling and vibration of functionally graded carbon nanotube-reinforced composite conical shells under axial loading,” Composites Part B, vol. 95, pp. 196–208, 2016.
  • A. H. Sofiyev, “Buckling of heterogeneous orthotropic composite conical shells under external pressures within the shear deformation theory,” Composites Part B, vol. 84, pp. 175–187, 2016.
  • A. H. Sofiyev and N. Kuruoglu, “Combined effects of elastic foundations and shear stresses on the stability behavior of functionally graded truncated conical shells subjected to uniform external pressures,” Thin-Walled Struct., vol. 102, pp. 68–79, 2016.
  • H. Huang, Q. Han, N. Feng, and X. Fan, “Buckling of functionally graded cylindrical shells under combined loads,” Mech. Adv. Mat. Struct., vol. 18, no. 5, pp. 337–346, 2011.
  • D. Van Dung and D. Q. Chan, “Analytical investigation on mechanical buckling of FGM truncated conical shells reinforced by orthogonal stiffeners based on FSDT,” Compos. Struct., vol. 159, pp. 827–841, 2017.
  • Ö. Civalek, “Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method,” Composites Part B, vol. 111, pp. 45–59, 2017.
  • Ö. Civalek, “Discrete singular convolution method for the free vibration analysis of rotating shells with different material properties,” Compos. Struct., vol. 160, pp. 267–279, 2017.
  • S. Zghal, A. Frikha, and F. Dammak, “Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures,” App. Math. Model, vol. 53, pp. 132–155, 2018.
  • A. H. Sofiyev and E. Osmancelebioglu, “The free vibration of sandwich truncated conical shells containing functionally graded layers within the shear deformation theory,” Composites Part B, vol. 120, pp. 197–211, 2017.
  • Y. Heydarpour, P. Malekzadeh, and M. M. Aghdam, “The free vibration behavior of functionally graded (FG) truncated conical shells under internal pressure,” Meccanica, vol. 49, no. 2, pp. 267–282, 2014.
  • N. Jooybar, P. Malekzadeh, A. Fiouz, and M. Vaghefi, “Thermal effect on free vibration of functionally graded truncated conical shell panels,” Thin-Walled Struct., vol. 103, pp. 45–61, 2016.
  • A. Asanjarani, M. H. Kargarnovin, S. Satouri, and A. Satouri, “Natural frequency analysis of functionally graded material truncated conical shell with lengthwise material variation based on first-order shear deformation theory,” Mech. Adv. Mat. Struct., vol. 23, no. 5, pp. 565–577, 2016.
  • F. Tornabene, “Free vibration analysis of functionally graded conical, cylindrical shell and anuular plate structures with a four-parameter of power-law distribution,” Comput. Meth. Appl. Mech. Eng., vol. 198, pp. 911–935, 2009.
  • J. H. Zhang and S. R. Li, “Free vibration of functionally graded truncated conical shells using the GDQ method,” Mech. Adv. Mat. Struct., vol. 20, no. 1, pp. 61–73, 2013.
  • A. Alibeigloo and A. M. Kani, “3D free vibration analysis of laminated cylindrical shell integrated piezoelectric layers using the differential quadrature method,” Appl. Math. Model, vol. 34, no. 12, pp. 4123–4137, 2010.
  • K. Xie, M. Chen, and Z. Li, “An analytic method for free and forced vibration analysis of stepped conical shells with arbitrary boundary conditions,” Thin-Walled Struct., vol. 111, pp. 126–137, 2017.
  • S. K. Jang, C. W. Bert, and A. G. Striz, “Application of differential quadrature to static analysis of structural components,” Int. J. Numer. Meth. Eng., vol. 28, no. 3, pp. 561–577, 1989.
  • H. Du, M. K. Lim, and R. M. Lin, “Application of generalized differential quadrature method to structural problems,” Int. J. Numer. Meth. Eng., vol. 37, no. 11, pp. 1881–1896, 1994.
  • C. W. Bert and M. Malik, “Differential quadrature method in computational mechanics: A review,” Appl. Mech. Rev., vol. 49, no. 1, pp. 1–28, 1996.
  • K. M. Liew, T. M. Teo, and J. B. Han, “Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates,” Int. J. Numer. Meth. Eng., vol. 45, no. 12, pp. 1831–1848, 1999.
  • W. Chen, A. G. Striz, and C. W. Bert, “A new approach to the differential quadrature method for fourth-order equations,” Int. J. Numer. Meth. Eng., vol. 40, no. 11, pp. 1941–1956, 1997.
  • C. Shu and B. E. Richards, “Application of generalize differential quadrature to solve two-dimensional incompressible Navier–Stokes equations,” Int. J. Numer. Meth. Fluids, vol. 15, no. 7, pp. 791–798, 1992.
  • C. Shu and H. Du, “Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beam and plates,” Int. J. Solids Struct., vol. 34, no. 7, pp. 819–835, 1997.
  • R. M. Jones, Mechanics of Composite Materials, Hemisphere, Publishing Co, New York, NY, 1975.
  • M. Darvizeh, A. Darvizeh, R. Ansari, and C. Sharma, “Buckling analysis of generally laminated composite plates (generalized differential quadrature rules versus Rayleigh–Ritz method),” Compos. Struct., vol. 63, no. 1, pp. 69–74, 2004.
  • K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1982.
  • K. Y. Lam, H. Li, T. Y. Ng, and C. F. Chua, “Generalized differential quadrature method for the free vibration of truncated conical panels,” J. Sound Vib., vol. 251, no. 2, pp. 329–348, 2002.

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