Effect of static axial loads on the lateral vibration attenuation of a beam with piezo-elastic supports

Abstract

In this paper, vibration attenuation of a beam with circular cross-section by resonantly shunted piezo-elastic supports is experimentally investigated for varying axial tensile and compressive beam loads. The beam's first mode resonance frequency, the general electromechanical coupling coefficient and static transducer capacitance are analyzed for varying axial loads. All three parameter values are obtained from transducer impedance measurements on an experimental test setup. Varying axial beam loads manipulate the beam's lateral bending stiffness and, thus, lead to a detuning of the resonance frequencies. Furthermore, they affect the general electromechanical coupling coefficient of transducer and beam, an important modal quantity for shunt-damping, whereas the static transducer capacitance is nearly unaffected. Frequency transfer functions of the beam with one piezoe-elastic support either shunted to an RL-shunt or to an RL-shunt with negative capacitance, the RLC-shunt, are compared for varying axial loads. It is shown that the beam vibration attenuation with the RLC-shunt is less influenced by varying axial beam loads and, therefore, is more robust against detuning.

Analysis, Quantification and Evaluation of Uncertainty

“…The two piezo-elastic supports A and B are located at the beam's end; each consists of one elastic membrane-like spring element made of spring steel, two piezoelectric stack transducers arranged orthogonally to each other and mechanically prestressed with disc springs, as well as the relatively stiff axial extension made of hardened steel that connects the piezoelectric transducers with the beam. For vibration attenuation in support B, optimally tuned electrical shunt circuits are connected to the piezoelectric transducers [63].…”

Methods and Technologies for Mastering Uncertainty

“…An epistemic data uncertainty, see Sect. 2.1, is the variation of static axial loads that results in a decrease of the first resonance frequency for compressive loads as well as an increase for tensile loads, [118,120]. For the vibration attenuation via piezoelectric shunt-damping, the RL-and RLC-shunts were used.…”

“…However, the attenuation with the RLCshunt is always higher than with the RL-shunt with the maximum amplitude of the RL-shunt ĜRL y = 29.26 m/s 2 /V being higher than the maximum amplitude of the RLC-shunt ĜRLC y = 4.68 m/s 2 /V. Furthermore, the attenuation deviates less for the RLC-shunt, suggesting that the RLC-shunt is less sensitive to uncertainty in the axial load compared to the RL-shunt [118,120].…”

Quantification of Uncertainty in the Mathematical Modelling of a Multivariable Suspension Strut Using Bayesian Interval Hypothesis-Based Approach

“…Passive, semi-active and active technology approaches for stability, load distribution and vibration control are developed to compensate uncertainty in the main functions mentioned above. They are integrated in a modular way within the SFB 805 [26], [27], [28], [19], [22], [23], [24] and [25].…”