Thermal Effect on Vibration of Tapered Rectangular Plate

Table 1

Boundary conditions	Deflection function (𝑊)
C-C-C-C	𝑥𝑊=𝑎^2𝑦𝑏^2𝑥1−𝑎^2𝑦1−𝑏^2×𝐴1+𝐴2𝑥𝑎𝑦𝑏𝑥1−𝑎𝑦1−𝑏
S-S-S-S	𝑥𝑊=𝑎𝑦𝑏𝑥1−𝑎𝑦1−𝑏×𝐴1+𝐴2𝑥𝑎𝑦𝑏𝑥1−𝑎𝑦1−𝑏
C-S-C-S	𝑥𝑊=𝑎^2𝑦𝑏𝑥1−𝑎^2𝑦1−𝑏×𝐴1+𝐴2𝑥𝑎𝑦𝑏𝑥1−𝑎𝑦1−𝑏