Shock and Vibration

Research Article

A Unified Analysis for the Free Vibration of the Sandwich Piezoelectric Laminated Beam with General Boundary Conditions under the Thermal Environment

Table 2

Related material parameters.
PZT-5A [55, 56]
 c11 = 121 GPa, c13 = 75.2 GPa, c33 = 111 GPa, c55 = 21.1 GPa, ρ = 7750 kg/m3, α1 = 2.68 × 10−6/K
 e31 = −5.4 C/m2, e33 = 15.8 C/m2, e15 = 12.3 C/m2
 s11 = 8.107 nF/m, s33 = 7.34 nF/m
Al [56]
 c11 = 72.2 GPa, c55 = 26.94 GPa, ρ = 2700 kg/m3, α1 = 23.2 × 10−6/K
Material-A
 c11 = 138.4 GPa, c55 = 162.5 GPa, ρ = 7500 kg/m3
Material-B
 c11 = 157.3 GPa, c55 = 45.5 GPa, ρ = 5676 kg/m3
Material-C
 E = open, μ = 0.3, ρ = 2700 kg/m3
Material-D
 E1/E2 = 15, E2 = E3, μ12 = μ13 = μ23 = 0.25, G12 = G13 = 0.6E2, G23 = 0.5E2, ρ = 1500 kg/m3, α1 = 6 × 10−6/K