In vibration control with piezoceramics, a high coupling of the piezoelement with the structure is desired. A high coupling improves the damping performance of passive techniques like shunt damping. The coupling can be influenced by a the material properties of the piezoceramics, but also by the placement within the structure and the size of the transducer. Detailed knowlegde about the vibration behavior of the structure is required for this. This paper presents an in-depth analysis of the optimal shape of piezoelectric elements. General results for one-dimensional, but inhomogeneos strain distribution are provided. These results are applied to the case of a longitudinal transducer and a bending bimorph. It is obtained that for maximum coupling, only a certain fracture of the volume should be made of piezoelectric material. . .
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Piezoelectric materials because of their unique ability of converting mechanical energy into electrical energy and vice versa can be found in numerous mechanical vibration damping applications. Connecting a suitable shunt branch to the piezoelectric actuator results in an electromechanical vibration damping or absorbing system, depending on the complex impedance describing the external network. A limited performance of the pure passive techniques involving resistive and inductive elements depending only on the electromechanical coupling coefficient can be significantly increased by the use of the negative capacitance element. Such an approach requires external power supply because of the necessary impedance converter built up of the operational amplifiers. The paper presents the recent research on the negative capacitance application in semi passive vibration control systems with piezoceramics, where the different configurations of external RLC-networks are analyzed. The electromechanical system consists of one degree of freedom spring mass damper oscillator with a piezoelectric actuator placed between the mass and the base. The analysis is performed in a general, normalized form, highlighting the influence of the negative capacitance and the general electromechanical coupling coefficient of the piezoceramics. The optimal parameters of the shunt branch resulting in maximal damping and absorbing performance of the system are given in an analytical form. The analytical results have been experimentally verified using a test rig.
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