An analytical model of cymbal transducer dynamics. Radial vibration of a piezoelectric disc

2011 ◽  
Vol 225 (5) ◽  
pp. 1077-1086 ◽  
Author(s):  
O A Ganilova ◽  
M Lucas ◽  
A Cardoni
Keyword(s):  
Analytical Model ◽  
Compressive Loading ◽  
Electrical Potential ◽  
Electrical Signal ◽  
Radial Motion ◽  
Coupled Systems ◽  
Cymbal Transducer ◽  
End Caps ◽  
Piezoelectric Disc ◽  
Radial Behaviour

This article represents the first step in an attempt to obtain an analytical model of a cymbal transducer. The structure is considered as two mechanically coupled systems (i.e. a piezoelectric disc producing radial motion and end caps amplifying under the compression caused by this radial behaviour). Therefore, an analytical model of the piezoelectric disc, core driver of the cymbal, and its dynamics under an electrical signal are presented in this article. The function describing the radial motion of the disc, distribution of the electrical potential along the thickness, and displacement along the thickness are obtained analytically. The obtained radial motion function will be used for modelling the end cap amplification as a compressive loading.

Evaluation of Analytical and Finite Element Modeling on Coupled Field Dynamics of Piezoelectric Cantilever Bimorph Harvester

2013 ◽  
Vol 284-287 ◽  
pp. 1846-1850 ◽  
Author(s):  
Long Zhang ◽  
Keith A. Williams ◽  
Zheng Chao Xie
Keyword(s):  
Finite Element ◽  
Energy Harvesting ◽  
Analytical Model ◽  
Electrical Potential ◽  
Open Circuit ◽  
Experimental Result ◽  
Fe Model ◽  
Portable Electronics ◽  
Coupled Field ◽  
Tip Displacement

As the portable electronics and wireless sensors continue to be minimized in size and power consumption, the energy harvesting from the surrounding environment has become a potential major or supplementary power source for those devices. As an energy harvesting option for converting the mechanical vibrations to the electrical energy, the structure-electricity field coupled piezoelectric materials have relatively high conversion efficiency, light weight and small size, making them preferable for wireless sensor networks and portable electronics. In this paper, the modeling work on coupled field dynamics of the piezoelectric cantilevered bimorph (PCB) energy harvester is presented, in terms of structure tip displacement and open-circuit electrical potential generated through harmonic excitation. First, a single degree of freedom (SDOF) analytical model is presented for predicting the tip displacement of the PCB structure, and then a finite element (FE) model is created to simulate the tip displacement and open-circuit voltage of the PCB structure. Then, both the analytical and finite element models are compared against the laboratory experimental results. The comparison shows that the FE model has a better agreement with the experimental result than the analytical model. Based on the evaluation, these two models could be adopted as design tools in different cases.

scholarly journals Surface electromyography: proposal of a protocol for cervical muscles

Revista CEFAC ◽  
2011 ◽  
Vol 14 (5) ◽  
pp. 918-924 ◽  
Author(s):  
Klyvia Juliana Rocha de Moraes ◽  
Daniele Andrade da Cunha ◽  
Luciana Ângelo Bezerra ◽  
Renata Andrade da Cunha ◽  
Hilton Justino da Silva
Keyword(s):  
Surface Electromyography ◽  
Evaluation Method ◽  
Electrical Potential ◽  
Electrical Signal ◽  
Target Area ◽  
Specific Therapy ◽  
Cervical Muscles ◽  
Signal Parameters ◽  
Potential Evaluation ◽  
Detailed Protocol

PURPOSE: to present a proposal of a surface electromyography evaluation method for cervical muscles specific and detailed protocol, with a standardized collection method of electrical signal in these muscles. METHODS: the researchers took as reference the existing publications about this subject which evidenced a need for standardization, clarity, better reproducibility and greater specificity for the surface electromyography evaluation of the upper trapezium and sternocleidomastoid muscles fibers. The proposal preparation process for the current protocol included the cleaning of the target area, placing the electrodes, required tasks in order to collect and register the electrical signal and interpretation of the electromyography signal parameters. This evaluation method was carried out in 24 healthy volunteers of both genders, with an average age of 26 years. We used the electromyography Miotool 400 with 4 channels. RESULT: an evaluation surface electromyography method for upper trapezium and sternocleidomastoid muscles fibers was developed and tested in order to determine the best form of electrical signal data collection for these muscles. CONCLUSION: we submitted a protocol proposal to evaluate the cervical muscles by a surface electromyography, allowing the healthy professionals and researchers to get more information about this electrical potential evaluation method for the sternocleidomastoid and the upper trapezium muscles fibers. This knowledge will be an adjuvant in a more specific therapy.

ANOMALOUS DISPERSION OF SOUND IN SOLID CYLINDRICAL RODS

1935 ◽  
Vol 13a (1) ◽  
pp. 10-15 ◽  
Author(s):  
R. Ruedy
Keyword(s):  
Mutual Coupling ◽  
Radial Component ◽  
Radial Motion ◽  
Coupled Systems ◽  
Radial Vibration ◽  
Longitudinal Waves ◽  
Velocity Equation ◽  
Hollow Cylinders ◽  
Velocity Of Propagation ◽  
Set Up

The deviation of the overtones from whole multiples of the fundamental note when pure longitudinal waves are set up in a cylindrical rod, one to a few centimetres in thickness, is accounted for to within less than 1% by the drop in the velocity of propagation of longitudinal waves with increasing frequency due to radial motion in the rod. The radial component present in vibrating solid or hollow cylinders determines a second solution of the velocity equation which starts near the resonance frequency of the radial vibration. Although radial motion can take place free from longitudinal components, so that no mutual coupling need exist between the two types of vibration, the equation for thin rods can within certain frequency ranges be reduced to the frequency relations valid for coupled systems.

scholarly journals Electrical Signal Guided Ibuprofen Release from Electrodeposited Chitosan Hydrogel

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Youyu Liu ◽  
Kun Yan ◽  
Guoxia Jiang ◽  
Yuan Xiong ◽  
Yumin Du ◽  
...  
Keyword(s):  
Drug Delivery ◽  
Drug Release ◽  
Electrical Potential ◽  
Electrical Signal ◽  
Signal Control ◽  
Titanium Plate ◽  
Chitosan Hydrogel ◽  
Drug Elution ◽  
Conductive Surface ◽  
Ibuprofen Release

Electrical signal guided drug release from conductive surface provides a simple and straightforward way for advanced drug delivery. In this study, we investigated the ibuprofen release from electrodeposited chitosan hydrogel by applying electrical signals. Specifically, chitosan hydrogel was electrodeposited on titanium plate and used as a matrix for ibuprofen load and release. The release of ibuprofen from the chitosan hydrogel on titanium plate was pH sensitive. By applying a positive or negative electrical potential, the release rate of ibuprofen from the electrodeposited chitosan can be facilely controlled. Thus, coupling chitosan electrodeposition and electrical signal control spurs new possibilities for biopolymeric coating and drug elution on conductive implants.

On Energy Harvesting Characteristics of Cymbal Transducer

2013 ◽  
Vol 365-366 ◽  
pp. 1318-1323
Author(s):  
Yong Chao Chen ◽  
Min Gao ◽  
Wei Bo Yu ◽  
Lei Zhang
Keyword(s):  
Numerical Simulation ◽  
Energy Harvesting ◽  
Analytical Model ◽  
Energy Generation ◽  
Piezoelectric Constant ◽  
Cavity Bottom ◽  
Simulation Validation ◽  
Cymbal Transducer ◽  
Low Consumption

The energy-generating capability of a cymbal transducer was studied in order to supply the power of low-consumption electric products. An analytical model of the cymbal transducer was established by the hydrostatic piezoelectric constant method. The relation between the material of metal cap as well as the structure of transducer and energy generation were analyzed by numerical simulation. The simulation validation was done by the element software ANSYS. The results of the study show that, in the same force, the materials of metal cap, the radius of cavity bottom, and the thickness of metal cap have bigger influence on the voltage outputted, the radius of cavity top have less influence on the voltage outputted.

An Analytical Model for Predicting the Fatigue Behavior of Tubular Weldments Subjected to Compressive Loading

2020 ◽  
Author(s):  
Anoop Vasu ◽  
Shizhu Xing ◽  
Jifa Mei ◽  
William Webster ◽  
Scott Jacob ◽  
...  
Keyword(s):  
Analytical Model ◽  
Fatigue Behavior ◽  
Compressive Loading

Analysis of Spatially Extended Excitable Izhikevich Neuron Model near Instability

2021 ◽  
Author(s):  
Arnab Mondal ◽  
Argha Mondal ◽  
S. Sharma ◽  
Ranjit Kumar Upadhyay
Keyword(s):  
Neuron Model ◽  
Nearest Neighbor ◽  
Electrical Potential ◽  
Coupled Systems ◽  
Biophysical Model ◽  
Deterministic System ◽  
Amplitude Equations ◽  
Riccati Differential Equation ◽  
Analytical Scheme ◽  
Izhikevich Neuron Model

Abstract The article focuses on the issue of a spatiotemporal excitable biophysical model that describes the propagation of electrical potential called spikes to model the diffusion induced dynamics based on an analytical development of amplitude equations. Considering the Izhikevich neuron model consisting of coupled systems of ODEs , we demonstrate various results of spatiotemporal architecture ( PDEs ) using a suitable parameter regime. We analytically perform the saddle node bifurcation and Hopf bifurcation analysis with bifurcating periodic solutions that show the transition phases in the system dynamics. We study different types of firing patterns both analytically and numerically by the formation of Riccati differential equation. To examine the characteristics of diffusive instabilities, we use Turing amplitude equations by multiscaling method and then expansion in powers of a small control parameter. The instabilities and Turing bifurcation are established using the theoretical analysis and numerical simulations. The spatial system has potential effects on the deterministic system as a result of the diffusive matrices with various couplings and the coupled oscillators with this nearest neighbor coupling show synchronization measured by the synchronization factor analysis. Our results qualitatively reproduce different phenomena of the extended excitable system based with an efficient analytical scheme.

Mixed Mode Oscillations and Synchronous Activity in Noise Induced Modified Morris–Lecar Neural System

2017 ◽  
Vol 27 (05) ◽  
pp. 1730019 ◽  
Author(s):  
Ranjit Kumar Upadhyay ◽  
Argha Mondal ◽  
Wondimu W. Teka
Keyword(s):  
Gaussian Noise ◽  
Mixed Mode ◽  
Phase Locking ◽  
Dynamical Behavior ◽  
Electrical Coupling ◽  
Electrical Potential ◽  
White Gaussian Noise ◽  
Coupled Systems ◽  
Inhibitory Neurons ◽  
Farey Sequences

The modified three-dimensional (3D) Morris–Lecar (M–L) model is very useful to understand the spiking activities of neurons. The present article addresses the random dynamical behavior of a modified M–L model driven by a white Gaussian noise with mean zero and unit spectral density. The applied stimulus can be expressed as a random term. Such random perturbations are represented by a white Gaussian noise current added through the electrical potential of membrane of the excitatory principal cells. The properties of the stochastic system (perturbed one) and noise induced mixed mode oscillation are analyzed. The Lyapunov spectrum is computed to present the nature of the system dynamics. The noise intensity is varied while keeping fixed the predominant parameters of the model in their ranges and also observed the changes in the dynamical behavior of the system. The dynamical synchronization is studied in the coupled M–L systems interconnected by excitatory and inhibitory neurons with noisy electrical coupling and verified with similarity functions. This result suggests the potential benefits of noise and noise induced oscillations which have been observed in real neurons and how that affects the dynamics of the neural model as well as the coupled systems. The analysis reports that the modified M–L system which has the limit cycle behavior can show a type of phase locking behavior which follows either period adding (i.e. 1:1, 2:1, 3:1, 4:1) sequences or Farey sequences. For the coupled neural systems, complete synchronization is shown for sufficient noisy coupling strength.

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