Research Article

Thermal Buckling of Piezoelectric Composite Beam

Table 1

Prebuckling boundary conditions for various edge supports. ( 𝐶 indicates clamped, 𝑆 shows simply supported and 𝑅 is used for roller edge).

B.C. B.Cs at 𝑥 = 0 B.Cs at 𝑥 = 𝐿

𝑆 - 𝑆 𝑢 = 𝑤 = 𝑀 𝑥 = 0 𝑢 = 𝑤 = 𝑀 𝑥 = 0
𝐶 - 𝐶 𝑢 = 𝑤 = 𝜙 = 0 𝑢 = 𝑤 = 𝜙 = 0
𝐶 - 𝑆 𝑢 = 𝑤 = 𝜙 = 0 𝑢 = 𝑤 = 𝑀 𝑥 = 0
𝐶 - 𝑅 𝑢 = 𝑤 = 𝜙 = 0 𝑢 = 𝜙 = 𝑑 𝑀 𝑥 𝑑 𝑥 = 0
𝑆 - 𝑅 𝑢 = 𝑤 = 𝑀 𝑥 = 0 𝑢 = 𝜙 = 𝑑 𝑀 𝑥 𝑑 𝑥 = 0