The Use of a Shunted Piezoelectric Element to Ensure the Best Dissipative Characteristics of Viscoelastic Shells

Nataliia A. Yurlova, Dmitrii A. Oshmarin, Nataliya V. Sevodina

Author details

Nataliia A. Yurlova
Institute of Continuous Media Mechanics UB RAS, Perm, Russian Federation
Dmitrii A. Oshmarin
Institute of Continuous Media Mechanics UB RAS, Perm, Russian Federation
Nataliya V. Sevodina
Institute of Continuous Media Mechanics UB RAS, Perm, Russian Federation

https://doi.org/10.15593/pem.mech/2024.4.08

The paper studies the dependence of the dynamic characteristics of an electro-viscoelastic system, which is a piecewise homogeneous body consisting of elastic, viscoelastic, electroelastic (piezoelectric) elements, as well as external passive electrical circuits attached to the electroded surfaces of piezoelectric elements, on the parameters determining its geometric configuration (dimensions and location of viscoelastic and piezoelectric elements, forming the system, in relation to structure and each other). In these systems, two methods of energy dissipation are used to reduce vibration: internal friction in viscoelastic materials and the conversion of mechanical vibration energy into electrical energy which is then dissipated in electrical circuits. Resistive (R) and resonant (RL) circuits are considered as examples of external electrical circuits. The study was conducted based on a numerical solution to the natural vibration problem for a thin-walled, spatial structure having the form of a semi-cylindrical shell. All possible geometrical configura- tions for the arrangement of viscoelastic and piezoelectric components were considered. There were found designs that could provide optimal damping properties within a specific frequency range, either via internal friction or by converting vibration energy using a piezoelectric compo- nent. As a result of a series of computational experiments, we obtained quantitative estimates demonstrating how the damping properties of the system change when each of the considered vibration energy dissipation mechanisms is used separately or jointly. The obtained quantitative estimates of changes in the dissipative properties of the shell show, in which cases both energy dissipation mechanisms lead to an increase in the damping characteristics of electro-viscoelastic systems, and in which cases they lead to a decrease.

Keywords

electroviscoclasticitypiezoelectric elementshunting electrical circuitsvibration damping coefficientelectromechanical coupling coefficientnatural frequencies and modes of vibrationsshellnumerical modeling.

О ПРИМЕНЕНИИ ШУНТИРОВАННОГО ПЬЕЗОЭЛЕМЕНТА ДЛЯ ОБЕСПЕЧЕНИЯ НАИЛУЧШИХ ДИССИПАТИВНЫХ ХАРАКТЕРИСТИК ВЯЗКОУПРУГИХ ОБОЛОЧЕК

Работа посвящена исследованию характера зависимости динамических характеристик электро-вязкоупругой системы, представляющей собой кусочно-однородное тело, состоящее из упругих, вязкоупругих, электроупругих (пьезоэлектрических) элементов, а также внешних пассивных электрических цепей, присоединенных к электродированным поверхностям пьезоэлементов, от параметров, определяющих ее геометрическую конфигурацию (размеры и расположение вязкоупругого и пьезоэлектрического элементов, формирующих систему, по отношению к конструкции и друг к другу). В таких системах для демпфирования колебаний реализуются два механизма диссипации энергии: за счет внут- реннего трения в вязкоупругих частях и за счет преобразования части энергии механиче- ских колебаний в электрическую с последующим ее рассеиванием в электрических цепях. В качестве внешних электрических цепей рассмотрены резистивная (R) и последовательная резонансная (RL) цепи. Исследование проводилось на основе численного решения задачи о собственных колебаниях для тонкостенной пространственной конструкции – полуцилиндрической оболочки. Рассмотрены все возможные геометрические конфигурации расположения вязкоупругих и пьезоэлектрических элементов. Найдены варианты компоновки конструкции, которые могут обеспечить наилучшие демпфирующие свойства в некотором диапазоне частот за счет реализации либо механизма внутреннего трения, либо преобразования энергии колебаний пьезоэлементом. В результате проведения серии вычислительных экспериментов получены количественные оценки, демонстрирующие, как изменяются демпфирующие свойства системы при использовании отдельно каждого из рассматриваемых механизмов диссипации энергии колебаний, а также совместно. Сделаны количественные оценки изменения диссипативных свойств оболочки, демонстрирующие, в каких случаях оба механизма диссипации энергии приводят к повышению демпфирующих характеристик электровязкоупругих систем, а в каких – к их снижению.

Ключевые слова

электровязкоупругостьпьезоэлементшунтирующие электрические цепикоэффициент демпфирования колебанийкоэффициент электромеханической связисобственные частоты и моды колебанийоболочкачисленное моделирование.

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Published: 25 November 2024
Issue date: 25 November 2024
Issue: No. 4 (2024)