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

Autores/as

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

Palabras clave:

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

Resumen

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. 

Biografía del autor/a

  • 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

Descargas

Publicado

2013-04-01

Número

Vol. 4 Núm. 1 (2013)

Sección

Research Articles

Licencia

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