Thermal Gradient Effect on Frequencies of a Rectangular Plate of Varying Thickness in Both Directions

著者

  • A. K. Gupta m.s.college
  • Mamta Jain Research Scholar, Department of Mathematics, M.S.College

キーワード:

non-linear、 thickness variation、 thermal、 vibration、 clamped、 rectangular plate

要旨

An analysis and numerical results are presented for frequencies of rectangular plates of non-linear thickness variation in x-direction and linearly in y-direction with linearly temperature distribution on the basis of classical plate theory. An approximate but quiet convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. Effect of the thermal gradient together with taper constants on the natural frequencies of vibration a clamped rectangular plate is illustrated for the first two modes of vibration. The results have been presented in tabular forms. 

著者略歴

  • A. K. Gupta、 m.s.college
    Associate Professor, Department of Mathematics
  • Mamta Jain、 Research Scholar, Department of Mathematics, M.S.College
    Research Scholar, Department of Mathematics, M.S.College

発行日

2013-04-01

巻号

セクション

Research Articles