Optimal parameters estimation and vibration control of a viscoelastic adaptive sandwich beam incorporating an electrorheological fluid layer

Abstract

The complex shear modulus of an electrorheological (ER) adaptive sandwich beam is optimally estimated to model the system for vibration control. In the composition of a three layered beam, the ER fluid layer is embedded between two constraining layers. Using finite element (FE) method, the governing equations of the composite viscoelastic beam are derived. The developed model is compared with the results found in the literature. In addition, for a fabricated ER sandwich beam, the ASTM E756 standard is employed to estimate the complex shear modulus of the viscoelastic layer in different electric fields. An optimization procedure is conducted based on particle swarm optimization (PSO). In this process, the rough estimation of complex shear modulus extracted by ASTM E756 is modified to correlate the results of the FE model and the experimental tests. The updated FE model is mapped into an appropriate form that can be used for control objectives. Finally, a semi-active sliding mode control is utilized to attenuate the vibration of the adaptive sandwich beam by tuning its electric field dependent characteristics.

Dynamic characteristics and control of magnetorheological/electrorheological sandwich structures: A state-of-the-art review

“…They related this anomalous behavior to deviation of beam deformation from the assumptions considered in the American Society for Testing and Materials (ASTM) equations. Allahverdizadeh et al (2013aAllahverdizadeh et al ( , 2013c also employed this technique to characterize ER fluid in the pre-yield region. They reported that the standardized ASTM E756-05:2002 method provides a rough estimation of the storage and loss moduli of the fluid and is not accurate, which is in part attributed to neglecting contribution due to the sealant.…”

“…Furthermore, this method cannot capture frequency-dependent behavior of the fluid and is more applicable for sandwich structures with solid viscoelastic materials as the core layer. Allahverdizadeh et al (2013aAllahverdizadeh et al ( , 2013bAllahverdizadeh et al ( , 2013c suggested that the ASTM method should be accompanied by an optimization process to update and modify the extracted data. Consequently, they employed particle swarm optimization (PSO) technique to seek optimal storage modulus of the ER fluid by matching the resonant frequencies obtained by theory and experiment.…”

“…The acceleration responses of the MR/ER sandwich structures were measured by accelerometers mounted on the face layers. Although single-axis accelerometers were widely used to measure vibration responses of the structures (Allahverdizadeh et al, 2013c(Allahverdizadeh et al, , 2014Rajamohan et al, 2010aRajamohan et al, , 2010bRajamohan et al, , 2010c, application of laser sensors (Choi et al, 2010) and eddy current probe (Lee and Cheng, 1998;Wei et al, 2007Wei et al, , 2011 for measuring vibration displacement and laser vibrometer (Lara-Prieto et al, 2010) for measuring velocity have also been reported. The measured signals were analyzed in the signal analyzer and the natural frequencies and damping properties of the sandwich beam structures were subsequently identified from the peaks in the frequency response functions.…”

Aeroelastic analysis and active flutter suppression of an electro-rheological sandwich cylindrical panel under yawed supersonic flow

“…Subsequently, the versatile and robust sliding mode control (SMC) methodology [46] will be applied for semiactive aeroelastic response control of the adaptive panel structure. The proposed canonical model is of substantial practical value for structural/aerospace engineers involved in development of dependable analytical and/or experimental tools for design and analysis of tunable ERF-based cylindrical panels with optimal vibrational/aeroelastic characteristics [4,31]. Also, the presented semianalytic time-domain solution can serve as the benchmark for evaluation of stringently numerical or approximate solutions [1,6, 18,32,37,41,50].…”

“…Such unique characteristics along with the inherent ability of electro-rheological fluids to interface with modern control systems make them very useful in numerous vibration and noise control applications (e.g., shock absorbers, vibration damping devices, brakes, clutches, actuators, sensors, servovalves, robotic joints, muscle stimulators [26,30,34,47]). Many researchers have studied active or semi-active vibration suppression of electro-rheological-based structures using various control strategies [4,14,16,47,48]. For example, in a series of recent research works, Hasheminejad and coworkers [19,21,22] applied the Hamilton's principle, the Runge-Kutta time integration algorithm, and the sliding mode control (SMC) strategy, for semi-active supersonic flutter response control of ERF-based sandwich flat panels and circular cylindrical shells.…”