( ) =
− α − γ ω > α
− γ ω = α
α − γω − γ ω < α
For nontrivial C1, C2, Equations (3.25a) and (3.25b) yield the condition
F1(b)F ′2(b)–F2(b)F ′1(b) = 0 (3.29)
Table 3.5 shows some representative results. The parentheses show the mode n at which the frequency occurs. Mode shapes of two-piece rectangular membrane for γ = 0.5, b = 0.5, and a = 1 are shown in Figure 3.10.