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Original Articles

Thermoelastic vibration analysis of functionally graded skew plate using nonlinear finite element method

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Pages 1111-1133 | Received 12 Dec 2016, Accepted 31 Jan 2017, Published online: 08 Mar 2017

References

  • M. N. A. Gulshan Taj, A. Chakrabarti, and V. Prakash, Vibration Characteristics of Functionally Graded Material Skew Plate in Thermal Environment, Int. J. Mech., Aerosp., Ind., Mech. Manuf. Eng., vol. 8, no. 1, pp. 142–153, 2014.
  • X. Wang, Y. Wang, and Z. Yuan, Accurate Vibration Analysis of Skew Plates by the New Version of the Differential Quadrature Method, Appl. Math. Model., vol. 38, pp. 926–937, 2014.
  • S. A. Eftekhari and A. A. Jafari, Modified Mixed Ritz-DQ Formulation for Free Vibration of Thick Rectangular and Skew Plates with General Boundary Conditions, Appl. Math. Model., vol. 37, pp. 7398–7426, 2013.
  • A. K. Upadhyay and K. K. Shukla, Geometrically Nonlinear Static and Dynamic Analysis of Functionally Graded Skew Plates, Commun. Nonlinear Sci. Numer. Simul., vol. 18, pp. 2252–2279, 2013.
  • R. L. Wankhade, Geometric Nonlinear Analysis of Skew Plates Using Finite Element Method, Int. J. Adv. Eng. Technol., vol. 2, no. 2, pp. 154–163, 2011.
  • Ö. Civalek, Eigenvalues of Membranes Having Skew and Rhombic Geometry Using Discrete Singular Convolution Algorithm, Commun. Nonlinear Sci. Numer. Simul., vol. 14, pp. 4003–4009, 2009.
  • P. Malekzadeh and G. Karami, Differential Quadrature Nonlinear Analysis of Skew Composite Plates Based on FSDT, Eng. Struct., vol. 28, pp. 1307–1318, 2006.
  • Q. Li, V. P. Iu, and K. P. Kou, Three-dimensional Vibration Analysis of Functionally Graded Material Plates in Thermal Environment, J. Sound Vib., vol. 324, pp. 733–750, 2009.
  • Y.-W. Kim, Temperature Dependent Vibration Analysis of Functionally Graded Rectangular Plates, J. Sound Vib., vol. 284, pp. 531–549, 2005.
  • X.-L. Huang and H.-S. Shen, Nonlinear Vibration and Dynamic Response of Functionally Graded Plates in Thermal Environments, Int. J. Solids Struct., vol. 41, pp. 2403–2427, 2004.
  • H. Jari, H. R. Atri, and S. Shojaee, Nonlinear Thermal Analysis of Functionally Graded Material Plates Using a NURBS Based Isogeometric Approach, Compos. Struct., vol. 119, pp. 333–345, 2015.
  • Y. Kiani, Free Vibration of FG–CNT Reinforced Composite Spherical Shell Panels Using Gram–Schmidt Shape Functions, Compos. Struct., vol. 159, pp. 368–381, 2017.
  • N. Sundararajan, T. Prakash, and M. Ganapathi, Nonlinear Free Flexural Vibrations of Functionally Graded Rectangular and Skew Plates under Thermal Environments, Finite Elem. Anal. Des., vol. 42, no. 2, pp. 152–168, 2005.
  • D. Zhou, S. H. Lo, F. T. K. Au, Y. K. Cheung, and W. Q. Liu, 3-D Vibration Analysis of Skew Thick Plates Using Chebyshev–Ritz Method, Int. J. Mech. Sci., vol. 48, pp. 1481–1493, 2006.
  • K. Asemi, S. J. Salami, M. Salehi, and M. Sadighi, Dynamic and Static Analysis of FGM Skew Plates with 3D Elasticity Based Graded Finite Element Modeling, Lat. Am. J. Solids Struct., vol. 11, pp. 504–533, 2014.
  • Y. Kiani, Free Vibration of Functionally Graded Carbon Nanotube Reinforced Composite Plates Integrated with Piezoelectric Layers, Comput. Math. Appl., vol. 72, pp. 2433–2449, 2016.
  • H. Norouzi and A. Alibeigloo, Three Dimensional Thermoviscoelastic Analysis of a Simply Supported FGM Cylindrical Panel, Compos. Struct., vol. 148, pp. 181–190, 2016.
  • C. M. Wang, S. Kitipornchai, Y. Xiang, and K. M. Liew, Stability of Skew Mindlin Plates under Isotropic in-plane Pressure, J. Eng. Mech., vol. 119, no. 2, pp. 393–401, 1993.
  • Y. S. Touloukin, Thermophysical Properties of High Temperature Solid Materials, Macmillan, New York, 1967.
  • S. S. Bhavikatti, Finite Element Analysis, New Age International Pvt. Ltd., New Delhi, 2005.
  • R. D. Cook, D. S. Malkus, M. E. Plesha, and R. J. Witt, Concepts and Applications of Finite Element Analysis, 4th ed., John Wiley & Sons (Asia) Pvt. Ltd., 2002.

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