This work deals with natural vibration of isotropic triangular plate under different geometrical and thermal conditions. In this paper, effects of bilinear tapering along with linear thermal condition are discussed for the vibration of triangular plates. Time period and deflection for both the modes of vibration for different types of clamped triangular plates, i.e., an isosceles triangular plate, right-angled triangular plate, and scalene triangular plate, are determined by using Rayleigh–Ritz method. Numerical results are calculated for different values of structural parameters, i.e., thermal gradient, taper parameters, and aspect ratios, and presented in tabular form.

这项工作处理了在不同几何和热条件下各向同性三角板的自然振动。在本文中，讨论了双线性锥化以及线性热条件对三角板振动的影响。使用Rayleigh-Ritz方法确定不同类型的夹紧三角形板（即等腰三角形板，直角三角形板和斜角三角形板）的两种振动模式的时间周期和挠度。针对结构参数的不同值（即热梯度，锥度参数和长宽比）计算数值结果，并以表格形式显示。