Flutter Limits and Behaviors of Flexible Webs Having a Simplified Basic Configuration in High-Speed Flow

Abstract

Fluttering conditions were analyzed for webs with a simplified basic configuration with both leading and trailing edges fixed in a uniform flow. The predicted flutter limits are expressed in terms of a ratio of fluid force to tension (σ* ), a ratio of tension to bending stiffness (τ* ), and a reduced frequency fR. Three characteristic zones of the behavior are seen to appear depending on the magnitude of τ* . For medium τ* of 1×103 to 1×106, flutter-limit values of σ* and fR remain nearly constant, respectively. For low τ*(<1×103) effect of bending stiffness becomes significant and buckling-like instabilities tend to occur preceding the flutter. For high τ*(>1×106) ripple-like modes tend to occur and σ* falls drastically and fR scatters much. Experimental flutter limits obtained in the wind tunnel were seen on the average to agree with the expected ones for the tested range of 9×102<τ*<4×104.