In the present investigation a kind of new lifting surface model has been s
uggested based on the application of generalized Green's function theory an
d double Fourier transformation technique, which is suitable for supersonic
cascade with subsonic leading-edge locus. The theoretical analysis shows t
hat the change of wall boundary condition not only affects the eigenvalues
of the system but also the Eigenfunction normalizing factor in comparison w
ith a rigid boundary condition, and it is these variations that affect the
flow and acoustic field. On the other hand, through the present numerical s
imulation the change of wall admittance leads to very remarkable effects on
both the lift and moment coefficients, which will determine whether a nonr
igid wall has a positive effect on suppressing blade flutter or not. This m
eans that if one aims at suppressing cascade flutter by use of a nonrigid w
all one of the best ways is to find soft wall with a controllable acoustic
admittance.