Gupta, A.K. and Sharma, P. (2013) Study of the Effect of Linear Temperature Behaviour on a Non-Homogeneous Trapezoidal Plate of Parabolically Varying Thickness. International Journal of Acoustics and Vibration, 18, 117-123.
http://dx.doi.org/10.20855/ijav.2013.18.3324

has been cited by the following article:

• TITLE: Study of Temperature Behaviour on Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Bi-Linearly Varying Thickness

  AUTHORS:   Kavita, Satish Kumar, Pragati Sharma

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.10, October 28, 2016

  ABSTRACT: 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.