Thermal Gradient Effect on Vibrations of Non-homogeneous Rectangular Plate having Continuously Parabolically Varying Thickness in both Directions

Forfattere

  • Arun kumar Gupta m.s.college
  • Vaibhav Panwar Deptt. of MCA, Institute of Management Studies, Dehradun, India
  • R P Vats M.S.College

Nøgleord:

Non-homogeneous, parabolically varying thickness, rectangular plate, thermal gradient, vibration, both directions.

Resumé

This paper presents the effect of thermal gradient on vibrations of non-homogeneity of the material of plate structures on the vibration frequencies for continuously parabolically varying thickness in both directions. The non-homogeneity of the plate is characterized by taking linear temperature variations in the Young’s modulus and linear variation in density of the material. Vibrational behaviors of non-homogeneous rectangular plates of variable thickness having two opposite edges (y = 0 and b) simply supported and the other two edges (x = 0 and a) may be clamped have been analyzed on the basis of classical plate theory. Related tables are incorporated to show the effect of the thermal gradient on non-homogeneous materials having continuously parabolically varying thickness in both directions on the frequencies of the vibration of rectangular plates for different values of thermal gradient, tapers constant and non-homogeneity constant.Keywords: Non-homogeneous, parabolically varying thickness, rectangular plate, thermal gradient, vibration, both directions.

Forfatterbiografier

  • Arun kumar Gupta, m.s.college
    Associate Professor, Department of Mathematics
  • Vaibhav Panwar, Deptt. of MCA, Institute of Management Studies, Dehradun, India
    Associate Professor, Deptt. of MCA
  • R P Vats, M.S.College
    Retired Associate Professor, Department of Physics

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Publiceret

2011-06-28

Nummer

Årg. 2 Nr. 1 (2011)

Sektion

Research Articles

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