Nonlinear vibration study of fiber-reinforced composite thin plate with strain-dependent property based on strain energy density function method

References

• P. Morgan, Carbon Fibers and Their Composites[M]. Boca Raton, FL: The Chemical Rubber Company Press, 2005.
   Google Scholar
• P. K. Mallick, Fiber-reinforced Composites: Materials, Manufacturing, and Design[M]. Boca Raton, FL: The Chemical Rubber Company Press, 2007.
   Google Scholar
• C. Leyens, F. Kocian, J. Hausmann, and W. A. Kayssera, “Materials and design concepts for high performance compressor components[J],” Aerosp. Sci. Technol., vol. 7, no. 3, pp. 201–773, 2003.
   Web of Science ®Google Scholar
• J. R. Vinson, R. L. Sierakowski, and C. W. Bert, The Behavior of Structures Composed of Composite Materials[M]. Netherlands: Springer, 2008.
   Google Scholar
• T. B. Stecenko and M. Stevanovi, “Variation of elastic moduli with strain in carbon/epoxy laminates[J],” J. Compos. Mater., vol. 24, no. 11, pp. 1152–1158, 1990.
   Web of Science ®Google Scholar
• B. N. Rao and S. R. Pillai, “Non-linear vibrations of a simply supported rectangular antisymmetric cross-ply plate with immovable edges[J],” J. Sound Vib., vol. 152, no. 3, pp. 568–572, 1992.
   Web of Science ®Google Scholar
• G. Singh, G. V. Rao, and N. G. R. Iyengar, “Non-linear forced vibrations of antisymmetric rectangular cross-ply plates[J],” Compos. Struc., vol. 20, no. 3, pp. 185–194, 1992.
   Web of Science ®Google Scholar
• P. Ribeiro and M. Petyt, “Non-linear vibration of composite laminated plates by the hierarchical finite element method[J],” Compos. Struct., vol. 46, no. 3, pp. 197–208, 1999.
   Web of Science ®Google Scholar
• J. Chen, D. J. Dawe, and S. Wang, “Nonlinear transient analysis of rectangular composite laminated plates[J],” Compos. Struc., vol. 49, no. 2, pp. 129–139, 2000.
   Web of Science ®Google Scholar
• Y. Y. Lee and C. F. Ng, “Nonlinear response of composite plates using the finite element modal reduction method[J],” Eng. Struc., vol. 23, no. 9, pp. 1104–1114, 2001.
   Web of Science ®Google Scholar
• B. Harras, R. Benamar, and R. G. White, “Geometrically non-linear free vibration of fully clamped symmetrically laminated rectangular composite plates[J],” J. Sound Vib., vol. 251, no. 4, pp. 579–619, 2002.
   Web of Science ®Google Scholar
• N. Toyama and J. Takatsubo, “An investigation of non-linear elastic behavior of CFRP laminates and strain measurement using Lamb waves[J],” Compos. Sci. Technol., vol. 64, no. 16, pp. 2509–2516, 2004.
   Web of Science ®Google Scholar
• A. K. Onkar and D. Yadav, “Forced nonlinear vibration of laminated composite plates with random material properties[J],” Compos. Struc., vol. 70, no. 3, pp. 334–342, 2005.
   Web of Science ®Google Scholar
• A. Tabiei, W. Yi, and R. Goldberg, “Non-linear strain rate dependent micro-mechanical composite material model for finite element impact and crashworthiness simulation[J],” Int. J. Non-Lin. Mech., vol. 40, no. 7, pp. 957–970, 2005.
   Web of Science ®Google Scholar
• L. Zhu, A. Chattopadhyay, and R. K. Goldberg, “Nonlinear transient response of strain rate dependent composite laminated plates using multiscale simulation[J],” Int. J. Solids Struc., vol. 43, no. 9, pp. 2602–2630, 2006.
   Web of Science ®Google Scholar
• M. K. Singha and R. Daripa, “Nonlinear vibration of symmetrically laminated composite skew plates by finite element method[J],” Int. J. Non-Lin. Mech., vol. 42, no. 9, pp. 1144–1152, 2007.
   Web of Science ®Google Scholar
• Z. Kazancı and Z. Mecitoğlu, “Nonlinear dynamic behavior of simply supported laminated composite plates subjected to blast load[J],” J. Sound Vib., vol. 317, no. 3–5, pp. 883–897, 2008.
   Web of Science ®Google Scholar
• M. K. Singha and R. Daripa, “Nonlinear vibration and dynamic stability analysis of composite plates[J],” J. Sound Vib., vol. 328, no. 4, pp. 541–554, 2009.
   Web of Science ®Google Scholar
• A. G. Arani, S. Maghamikia, and M. Mohammadimehr, A. Arefmanesh, “Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods[J],” J. Mech. Sci. Technol., vol. 25, no. 3, pp. 809–820, 2011.
   Web of Science ®Google Scholar
• A. G. Arani and G. S. Jafari, “Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM[J],” Appl. Mathe. Mech., vol. 36, no. 8, pp. 1033–1044, 2015.
   Google Scholar
• A. G. Arani, E. Haghparast, and H. B. A. Zarei, “Vibration of axially moving 3-phase CNTFPC plate resting on orthotropic foundation[J],” Struc. Eng. Mech., vol. 57, no. 1, pp. 105–126, 2016.
   Web of Science ®Google Scholar
• A. R. Setoodeh and M. Shojaee, “Application of TW-DQ method to nonlinear free vibration analysis of FG carbon nanotube-reinforced composite quadrilateral plates[J],” Thin-Walled Struc., vol. 108, pp. 1–11, 2016.
   Web of Science ®Google Scholar
• G. Jiang, F. Li, and X. Li, “Nonlinear vibration analysis of composite laminated trapezoidal plates[J],” Steel Compos. Struc., vol. 21, no. 2, pp. 395–409, 2016.
   Web of Science ®Google Scholar
• Y.Y. Chai, F.M. Li, and Z.G. Song, “Nonlinear vibration behaviors of composite laminated plates with time-dependent base excitation and boundary conditions[J],” Int. J. Nonlin. Sci. Numer. Simul., vol. 18, no. 2, pp. 145–161, 2017.
   Web of Science ®Google Scholar
• R. M. Jones and D. A. R. Nelson, “A new material model for the nonlinear biaxial behavior of ATJ-S graphite[J],” J. Compos. Mater., vol. 9, no. 1, pp. 10–27, 1975.
   Google Scholar
• R. M. Jones and H. S. Morgan, “Analysis of non-linear stress-strain behavior of fiber-reinforced composite materials[J],” AIAA J., vol. 15, pp. 1669–1676, 1977.
   Google Scholar
• M. W. Hyer and S. R. White, Stress Analysis of Fiber-reinforced Composite Materials [M] Stress Analysis of Fiber-reinforced Composite Materials, New York: WCB McGraw-Hill, pp. 123–12 8, 1998.
   Google Scholar
• J. M. Whitney and J. E. Ashton, “Effect of environment on the elastic response of layered composite plates[J],” AIAA J., vol. 9, no. 9, pp. 1708–1713, 1971.
   Google Scholar
• P. H. Petit and M. E. Waddoups, “A method of predicting the nonlinear behavior of laminated composites[J],” J. Compos. Mater., vol. 3, no. 1, pp. 2–19, 1969.
   Google Scholar