Abstract: The paper presents a linear, lumped-parameter, one-degree- of-freedom model that describes the first mode dynamic response of a piezoelectrically-actuated cantilevered beam. The original system consists of two identical, symmetrically disposed piezoelectric patch actuators bonded to a uniform beam with a tip mass. Specifically, the first mode of the system is described by an equivalent mass-spring-damper system where the equivalent mass, stiffness, damping, and force are functions of the parameters defining the piezoelectrically-actuated system. Experimental data is used to verify model damping and displacement. The model is then utilized to demonstrate that the dynamic response of the system depends upon four independent non-dimensional geometric variables. Numerical simulations are performed to graphically demonstrate this dependence and to indicate an optimal configuration for achieving a maximum deflection at the beam's free end during resonant excitation.!12
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