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Acta Physica Polonica A
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2013
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vol. 123
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issue 6
1029-1033
EN
In the paper, the analytical solutions of excited vibrations of the Bernoulli-Euler type beam in general case of external loading function is analyzed. The distribution theory is applied to formulate solution when the external functions are the concentrated-force type or the concentrated-moment type. Moreover, two types of excitation in time domain, harmonic and pulsed, are considered. Due to the superposition rule which can be applied in the analyzed linear case, any combination of external loading function can be formulated. The strict analytical solutions are shown for the case of simply supported beam. Describing the external load in the form of concentrated moments makes possible the analytical simulation of the reduction of vibrations of a beam by application of the piezoelectric elements which are in practice the source of external moment-type excitation put in relatively small area of action.
Acta Physica Polonica A
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2012
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vol. 121
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issue 1A
A-132-A-135
EN
In classic acoustics there are two areas identified around acoustic sources - nearfield and farfield. The nearfield is connected with the Fresnel solution and farfield - the Fraunhofer one. For each regions there are different theoretical formulae for determination of distribution of the chosen acoustic parameter. Unfortunately there is no sharply outlined border between regions. Therefore one of the important problem, is to define approximately conditions for state the border between them. The two attempts for identification are discussed, i.e. geometrical one and intensity ones. The results are shown on the vibrating circular rigid piston case.
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vol. 125
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issue 4A
A-164-A-168
EN
In this paper, the results of several tests concerning possible application of piezoelectric elements to reduce torsional vibrations of a beam are presented and discussed. The proposed method of application is a novel one. The piezoelectric elements are positioned in two pairs and glued to the beam at the chosen cross-section. These elements are activated using a harmonically varying voltage of the same amplitude and opposite in phase. Simulations are performed regarding the active reduction of the lowest natural frequencies of vibration of the fixed-free beam with the use of piezoelectric actuators. The results of these simulations are obtained by means of the finite element method (ANSYS).
EN
Application of piezoelectric shunt elements, distributed in suitable configuration on the external surfaces of vibrating plate is one of the contemporary method of reduction of its vibroactivity. The two techniques are applied: passive one and active one. The aim of simulations was to compare the minimisation effect for the two attempts. The plate was excited by point harmonic force with constant amplitude. Vibrations for the first mode were considered.
EN
In the paper results of simulation of active reduction of vibration of the free-fixed beam by piezoelectic actuators made of functionally graded materials are presented. The aim of simmulation was to estimate sensitivity of the process of reduction. The effect of the level of gradation of material properties and amplitude of the applied voltage on effectiveness of the reduction process was analyzed. The analysis was reduced to the case of excited vibrations of the first mode and was performed by application of the finite element package Ansys.
EN
Application of piezoelectric elements to active reduction of bending vibrations of the beams is known well in the literature. During vibrations, an external excitation may vary in the time domain, including its form in the frequency domain. It should have influence on their response. The problem of proper selection of the control parameter in the control algorithm used to reduce vibrations arises. In the article, simulations of a control algorithm based on detection of bending moment are analytically tested. The solution for the transient type of vibrations are obtained by the finite difference method (FDM). Analysis for two separated natural modes was performed. The analysis shows the possibility to design a control algorithm based on detection of the bending moment.
EN
The study is a next part of earlier works by the authors, and explores how does the sequence of activated actuators and the level of applied voltage affect the radiated acoustic energy. The analysis uses the finite element method for structural vibrations and combination of the finite element and the intensity hybrid method to assess the level of sound radiation. The vibrating element is a steel plate with glued on actuators, supported on one edge and excited by a harmonically variable, concentrated load with a constant amplitude value.
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issue 6
1186-1188
EN
Finite element simulations of passive damped system applied to the simply-supported excited squared steel plate, is the aim of the analysis. The full mechanical, piezoelectric, electric and acoustic field coupling is analysed in Ansys Package. As the result the acoustic pressure radiated by plate is analysed. The results show possibility of application of the discussed method to reduction of the sound pressure level in realistic engineering structures.
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