Composite Structures 363 (2025) 119135

Keywords:  Active vibration control  Filtered-x least mean square  Shape memory composite  Macro fiber composite  Online secondary path modelling

 This manuscript introduces a new approach to active vibration control (AVC), which involves the application of  enhanced online secondary path modelling through a modified filtered-x least mean squares (FxLMS) algorithm.  A special feature of this proposed control method is the use of an original adaptive variable step size (VSS) LMS  algorithm to adjust the secondary path modelling filter. The adaptive step size is dynamically adjusted based on  the modelling filter error signal, which is continuously monitored using a single exponential smoothing tech nique. The incorporation of the fractional derivative with the steepest descent method enhances the convergence  speed of secondary path identification. Based on numerical simulations employing multilinear spectral and  random vibration signals, the proposed method demonstrates advantages in convergence speed, system stability  and model accuracy compared to typical existing algorithms. Specifically, the system modelling convergence rate  is improved by 60 %, and the residual error convergence rate is improved by 72 %. In practical terms, the  adaptive algorithm was implemented in shape memory polymer composites (SMPCs) to accommodate config uration variations. Employing multiharmonic AVC with macro fiber composite (MFC) actuators, the dynamic  behavior and vibration control efficiency of SMPCs with varying carbon fiber volume fractions were subjected to  comprehensive experiments and analyses. Results from the study showcase the efficacy of the proposed adaptive  control strategy in significantly damping vibrations in both the original and bent shapes of SMPCs, suggesting the  versatility and robustness of the control approach across different configurations. Meanwhile, this study provides  support for vibration control of SMPCs in dynamic applications.

Weikai Shi, Xin Lan, Xudong Zhang, Jinsong Leng, Peilei Xu, Yanju Liu

Improved online secondary path modelling for multiharmonic active vibration control in shape memory polymer composites.pdf