ABSTRACT

Region 2

( )

( ) =

− α −  γ ω > α

− γ ω = α

α − γω −  γ ω < α

 

 

F x

x

x

x

( )

sinh 1

(3.28)

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.