Author(s)

  Kavita^1*, Satish Kumar¹, Pragati Sharma²

¹Department of Mathematics, M. M. University, Mullana, India.
²Department of Mathematics, Haryana College of Technology and Management, Kaithal, India.

The main aim of the present work is to study the linear temperature behaviour of a non-homogeneous trapezoidal plate whose thickness varies linearly in both directions. The temperature behaviour considered linear along the length of the plate. Non-homogeneity in plate arises due to variation in density along the length of the plate. The two-term deflection function with clamped-simply supported-clamped-simply supported boundary condition is taken into consideration. The effect of structural parameters such as taper constants, thermal gradient, non-homogeneity constant and aspect ratio has been studied. Rayleigh-Ritz method is used to solve the governing differential equations and to obtain the fundamental frequencies for the first two modes of vibration. Results are presented in graphical form.

Vibration, Trapezoidal Plate, Taper Constants, Thermal Gradient, Aspect Ratio, Non-Homogeneity, Thickness, Density, Frequencies

Kavita, &. , Kumar, S. and Sharma, P. (2016) Study of Temperature Behaviour on Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Bi-Linearly Varying Thickness. Journal of Applied Mathematics and Physics, 4, 1936-1948. doi: 10.4236/jamp.2016.410196.