The fish bone active camber （FishBAC） is a kind of mechanism which depends on structural deformation to realize changes in airfoil camber. Compared with traditional discrete flaps and lifting devices， it can achieve wing curvature changes while maintaining the continuity and smoothness of the aerodynamic surface. However， relying on structural elastic deformation to achieve the basic characteristics of wing curvature may lead to potential aeroelastic problems. This paper investigates the potential aeroelastic issues of flexible wings from two aspects of structural characteristics and aeroelastic characteristics. In the aspect of structure analysis， an equivalent structural model of FishBAC is established based on Euler beam theory， and a segmented stiffening method is employed to enhance computational efficiency while maintaining accuracy for non-uniform beam structures， which is verified by the finite element analysis. In the analysis of aeroelastic characteristics， the aeroelastic behavior is investigated based on an equivalent rigid-flexible coupled model and unsteady aerodynamic theory. The findings indicate that consideration of structural flexibility is essential in FishBAC modeling， as neglecting it may lead to deviations in predicting aeroelastic characteristics. The results show that the static aeroelastic characteristics can be exactly predicted under the driving torque of less than 1.5 N·m. Additionally， using the airfoil model proposed in the paper to consider the rigid-flexible coupling characteristics of the structure and predict the bending flutter that occurs in the flexible section， the simplified model maintains consistency in flutter velocity prediction compared with MSC Nastran.