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Title

Effect of Winkler Foundation on Radially Symmetric Vibrations of Bi-Directional FGM Non-Uniform Mindlin’s Circular Plate Subjected to In-Plane Peripheral Loading

فصلنامه مکانیک جامد، دوره: 12، شماره: 2
Year: 1399
COI: JR_JSMA-12-2_014
Language: EnglishView: 183
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Authors

N Ahlawat - Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
R Lal - Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

Abstract:

An analysis has been presented of the effect of elastic foundation and uniform in-plane peripheral loading on the natural frequencies and mode shapes of circular plates of varying thickness exhibiting bi-directional functionally graded characteristics, on the basis of first order shear deformation theory. The material properties of the plate are varying following a power-law in both the radial and transverse directions. The numerical solutions of the coupled differential equations leading the motion of simply supported and clamped plates acquired by using Hamilton’s principle, is attained by harmonic differential quadrature method. The effect of different plate parameters namely gradient index, heterogeneity parameter, density parameter, taper parameter and thickness parameter is illustrated on the vibration characteristics for the first three modes of vibration for various values of in-plane peripheral loading parameter together with foundation parameter. Critical buckling loads in compression are calculated for both the boundary conditions by putting the frequencies to zero. The reliability of the present technique is confirmed by comparing the results with exact values and results of published work.                   

Keywords:

First Order Shear Deformation Theory , Buckling , Functionally graded circular plates , Harmonic differential quadrature , Axisymmetric vibrations

Paper COI Code

This Paper COI Code is JR_JSMA-12-2_014. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1025613/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Ahlawat, N and Lal, R,1399,Effect of Winkler Foundation on Radially Symmetric Vibrations of Bi-Directional FGM Non-Uniform Mindlin’s Circular Plate Subjected to In-Plane Peripheral Loading,https://civilica.com/doc/1025613

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  • Amini M.H., Soleimani M., Rastgoo A., 2009, Three-dimensional free vibration ...
  • Ansari R., Gholami R., Shojaei M.F., Mohammadi V., Darabi M.A., ...
  • Baferani A.H., Saidi A.R., Jomehzadeh E., 2011, An exact solution ...
  • Batra R.C., Aimmanee S., 2005, Vibrations of thick isotropic plates ...
  • Bisadi H., Es haghi M., Rokni H., Ilkhani M., 2012, ...
  • Bowles J.E., 1982, Foundation Analysis and Design, McGraw-Hill, Inc. ...
  • Chen S.S., Xu C.J., Tong G.S., Wei X., 2015, Free ...
  • Civalek Ö., 2008, Free vibration analysis of symmetrically laminated composite ...
  • Deresiewicz H., Mindlin R.D., 1955, Axially symmetric flexural vibrations of ...
  • Efraim E., 2011, Accurate formula for determination of natural frequencies ...
  • Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable ...
  • Eftekhari S.A., Jafari A.A., 2013, Modified mixed Ritz-DQ formulation for ...
  • Fallah A., Aghdam M.M., Kargarnovin M.H., 2013, Free vibration analysis ...
  • Ferreira A.J.M., Roque C.M.C., Jorge R.M.N., 2005, Free vibration analysis ...
  • Gorman D.G., 1983, Vibration of thermally stressed polar orthotropic annular ...
  • Gupta U.S., Lal R., 1979, Axisymmetric vibrations of linearly tapered ...
  • Gupta U.S., Ansari A.H., Sharma S., 2006, Buckling and vibration ...
  • Gupta U.S., Lal R., Sharma S., 2007, Vibration of non-homogeneous ...
  • Han J.B., Liew K.M., 1999, Axisymmetric free vibration of thick ...
  • Hong G.M., Wang C.M., Tan M.T., 1993, Analytical buckling solutions ...
  • Hosseini-Hashemi S., Derakhshani M., Fadaee M., 2013, An accurate mathematical ...
  • Hosseini-Hashemi S., Fadaee M., Es Haghi M., 2010, A novel ...
  • Hosseini-Hashemi S., Taher H.R.D., Akhavan H., 2010, Vibration analysis of ...
  • Irie T., Yamada G., Aomura S., 1979, Free vibration of ...
  • Irie T., Yamada G., Aomura S., 1980, Natural frequencies of ...
  • Lal R., Gupta U.S., 1982, Influence of transverse shear and ...
  • Leissa A.W., 1982, Advances and Trends in Plate Buckling Research ...
  • Li S.Q., Yuan H., 2011, Quasi-Green’s function method for free ...
  • Liew K.M., Hung K.C., Lim M.K., 1995, Vibration of Mindlin ...
  • Mindlin R.D., 1951, Influence of rotatory inertia and shear on ...
  • Miyamoto Y., Kaysser W.A., Rabin B.H., Kawasaki A., Ford R.G., ...
  • Naderi A., Saidi A.R., 2011, An analytical solution for buckling ...
  • Najafizadeh M.M., Heydari H.R., 2008, An exact solution for buckling ...
  • Rao G.V., Raju K.K., 1986, A study of various effects ...
  • Rao L.B., Rao C.K., 2014, Frequency analysis of annular plates ...
  • Saidi A.R., Baferani A.H., Jomehzadeh E., 2011, Benchmark solution for ...
  • Satouri S., Asanjarani A., Satouri A., 2015, Natural frequency analysis ...
  • Striz A.G., Wang X., Bert C.W., 1995, Harmonic differential quadrature ...
  • Su Z., Jin G., Wang X., 2015, Free vibration analysis ...
  • Tajeddini V., Ohadi A., 2011, Three-dimensional vibration analysis of functionally ...
  • Thai H.T., Choi D.H., 2013, A simple first-order shear deformation ...
  • Thai H.T., Kim S.E., 2015, A review of theories for ...
  • Wang C.M., Xiang Y., Kitipornchai S., Liew K.M., 1993, Axisymmetric ...
  • Wang Q., Shi D., Liang Q., Shi X., 2016, A ...
  • Xiang Y., 2003, Vibration of rectangular Mindlin plates resting on ...
  • Xiang Y., Wei G.W., 2004, Exact solutions for buckling and ...
  • Xue K., Wang J.F., Li Q.H., Wang W.Y., Wang P., ...
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  • Zenkour A.M., 2005, A comprehensive analysis of functionally graded sandwich ...
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