We consider a controllability problem for a beam, clamped at one boundary and free at the other boundary, with an attached piezoelectric actuator. By Hilbert Uniqueness Method (HUM) and new results on diophantine approximations, we prove that the space of exactly initial controllable data depends on the location of the actuator. We also illustrate these results with numerical simulations. Mathe...

We propose a new 1–3 piezoelectric composite comprised of armchair single-walled carbon nanotubes imbedded in a piezoceramic matrix which we call a NRPEC (nanotube reinforced 1–3 piezoelectric composite). Values of effective piezoelectric and elastic moduli of the NRPEC determined through a micromechanical analysis are found to be significantly higher than those of the 1–3 piezoelectric composi...

The study of the applications of piezoelectric materials in the active vibration control of flexible structures has been ongoing for more than a decade. Based on the Linear Quadratic Gauss (LQG) optimal control method, the paper introduces an effective procedure to suppress the vibration of flexible structures with the sensors/actuators are symmetrically collocated on both sides of the same pos...

A model based fault detection filter is developed for structural health monitoring of a simply supported beam. The structural damage represented in the plant model is decomposed and is shown to reduce to a fault direction vector maintaining a fixed direction. According to detection filter theory, this fault detection vector under certain circumstances can be uniquely detected and identified thr...

This paper studies free vibration of simply supported functionally graded beams with piezoelectric layers subjected to axial compressive loads. The Young's modulus of beam is assumed to be graded continuously across the beam thickness. Applying the Hamilton’s principle, the governing equation is established. Resulting equation is solved using the Euler’s Equation. The effects of the constituent...

Abstract—This paper has been investigated a technique that predicts the performance of a bar-type unimorph piezoelectric vibration actuator depending on the frequency. This paper has been proposed an equivalent circuit that can be easily analyzed for the bar-type unimorph piezoelectric vibration actuator. In the dynamic analysis, rigidity and resonance frequency, which are important mechanical ...

This paper researches the dedicated piezoelectric sensor for airflow information sensitivity which uses PZT-5A piezoelectric material and rigid polyurethane foam to act as its matching materials. It adopts multiplex mode to realize the broadband design of sensor and does finite element simulation to establish admittance grid, sound field distribution diagram and model in which cylinder is added...

Energy harvesting for the purpose of powering low power electronic sensor systems has received explosive attention in the last few years. A common device uses the piezoelectric effect for a cantilever beams at resonance to harvest ambient vibration energy. However most of these devices have a rectangular piezoelectric patch covering all or part of the beam. This paper considers the optimum desi...

AbstractWith the application of wireless sensor networks become widespread, supply energy for these wireless sensors proves to be a significant issue. Moreover, for the ambient vibration lies everywhere, the vibration can supply energy for the wireless sensor via energy harvester. The piezoelectric energy harvester becomes the research focus for the simple structure and higher energy conversion...

In this paper, the modelling and design of a multivariable controller for a smart thick composite cantilever beam with embedded shear sensors and actuators is investigated. The first 3 dominant vibratory modes are retained in the modelling of the composite beam. The beam is divided into 8 finite elements and shear piezoelectric patches are embedded into the master structure. These shear piezoel...