Analysis of interfacial stresses and actuation authorities induced by surface-bonded piezoelectric actuators on curved flexible beams

摘要

An analytical model is developed to evaluate interfacial stresses and actuation authorities induced by a surface-bonded piezoelectric actuator on a curved flexible beam. The governing equations and boundary conditions are derived through variational principles. To obtain more concise interfacial stresses, this model includes a bonding layer, which is often not considered in previous studies. To support the validity of the developed model, a straight host beam is chosen as a special case and the interfacial shear stress from the current model are compared with that from the shear lag theory. Parametric studies are performed to examine the effects of various parameters-radius, bonding layer thickness and curved beam thickness-on the interfacial stresses and actuation authorities. This model contributes to the understanding of piezoelectric actuations on curved flexible beams, with the consideration of bonding layers, in three aspects. First, this model can provide a tool for evaluating interfacial shear and peeling stresses. Second, one can predict the piezoelectric actuation authority efficiently and accurately utilizing the closed form solutions of interfacial stresses. Finally, this model can be used to analyze the effects of bonding layers on the piezoelectric actuation and provide insights for better designs.