Modeling analysis and tuning of shunt piezoelectric damping controller for structural vibration

• Published in: Acta mechanica Vol. 234; no. 9; pp. 4407 - 4426
• Main Authors: Wu, Tao, Chen, Tong, Yan, Hui, Qu, Jianjun
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.09.2023; Springer; Springer Nature B.V
• Subjects: Algorithms; Analysis; Bending vibration; Circuits; Classical and Continuum Physics; Control; Control systems; Criteria; Dynamic models; Dynamical Systems; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Finite element method; Flexible structures; Force and energy; Frequency response; Heat and Mass Transfer; Kinetic energy; Mathematical optimization; Model accuracy; Optimization; Original Paper; Parameter sensitivity; Passive control; Piezoelectric transducers; Rectangular plates; Solid Mechanics; Structural vibration; Theoretical and Applied Mechanics; Transfer functions; Trigonometric functions; Tuning; Vibration; Vibration analysis; Vibration damping
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-023-03619-x

When the passive control technology is used to control the bending vibration of flexible structures, the shunt piezoelectric damping technology is commonly regarded as a straightforward and efficient approach. However, its performance is sensitive to the changes of the components' parameter values on the piezoelectric transducer, and usually requires more accurate tuning. This study introduces a novel optimization algorithm and criteria to optimize the parameters of the components in the shunt piezoelectric damping circuit. Specifically, the evaluation criteria for suppressing bending vibration are formulated using the frequency response and kinetic energy power spectrum. The improved Sine Cosine Algorithm (SCA) is then employed to optimize the parameters of the frequently used parallel, series, and negative capacitance impedance circuits. The accuracy of the model is verified by comparing the derived dynamic model and transfer function model with the results obtained from finite element software Workbench. Subsequently, the system's response is analyzed under different parameter values, damping conditions, and excitations. The convergence and feasibility of the improved SCA algorithm are demonstrated through an example that involves suppressing the bending vibration of a rectangular plate. Furthermore, the optimization calculation of component parameter values in the example circuit is conducted, and the results are compared with those obtained through previous methods, thereby affirming the effectiveness and advantages of the proposed algorithm for optimizing component parameter values in shunt piezoelectric damping circuits.