Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates
This study presents an investigation into the vibration resonance of Mindlin piezoelectric polymeric nanoplates under electromechanical loading, particularly in the presence of a rotating nanoparticle. The novelty of this research lies in the application of non-local piezoelasticity, which effective...
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2025-06-01
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author | Narinderjit Singh Sawaran Singh Waqed H. Hassan Zainab Mоhammed Ameen Ahmed Younis Mohamed Atiah Al-zahy Soheil Salahshour Mostafa Pirmoradian |
author_facet | Narinderjit Singh Sawaran Singh Waqed H. Hassan Zainab Mоhammed Ameen Ahmed Younis Mohamed Atiah Al-zahy Soheil Salahshour Mostafa Pirmoradian |
author_sort | Narinderjit Singh Sawaran Singh |
collection | DOAJ |
description | This study presents an investigation into the vibration resonance of Mindlin piezoelectric polymeric nanoplates under electromechanical loading, particularly in the presence of a rotating nanoparticle. The novelty of this research lies in the application of non-local piezoelasticity, which effectively incorporates the influence of small-scale factors on the resonance behavior of the nanoplate. By employing a variational approach to derive the governing equations, this work advances the understanding of how various parameters such as the non-local parameter, dimensions of the nanoplate, excitation voltage, and mass of the nanoparticle affect resonance frequencies. The Galerkin method is utilized to solve the partial differential equations governing the dynamics of the piezoelectric polymeric nanoplate, marking a significant methodological contribution to the field. The incremental harmonic balance approach is then applied to estimate the system's resonance frequencies, with numerical simulations confirming their existence. This research not only elucidates the complex interactions affecting resonance behavior but also highlights the potential for optimizing the design of nanostructures in various applications, including sensors and energy-harvesting devices. The findings suggest that increasing the non-local parameter softens the nanoplate's rigidity, leading to decreased resonance frequencies, while modifications in dimensions and applied voltages can enhance these frequencies. Overall, this study lays the groundwork for future explorations into the dynamic behavior of piezoelectric materials, emphasizing the importance of small-scale effects in nanotechnology applications. |
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institution | Kabale University |
issn | 2666-0164 |
language | English |
publishDate | 2025-06-01 |
publisher | Elsevier |
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series | Case Studies in Chemical and Environmental Engineering |
spelling | doaj-art-dd07979375b24c4ab6f51779154645bf2025-02-03T04:16:56ZengElsevierCase Studies in Chemical and Environmental Engineering2666-01642025-06-0111101125Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplatesNarinderjit Singh Sawaran Singh0Waqed H. Hassan1Zainab Mоhammed Ameen Ahmed2Younis Mohamed Atiah Al-zahy3Soheil Salahshour4Mostafa Pirmoradian5Faculty of Data Science and Information Technology, INTI International University, Persiaran Perdana BBN, Putra Nilai, Nilai, 71800, MalaysiaUniversity of Warith Al-Anbiyaa, Kerbala, 56001, Iraq; Department of Civil Engineering, College of Engineering, University of Kerbala, Kerbala, 56001, IraqDepartment of basic sciences, College of Nursing, university of kirkuk, IraqDepartment of Physics, College of Education, Misan University, Maysan, IraqFaculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey; Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey; Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, TurkeyDepartment of Mechanical Engineering, Khomeinishahr branch, Islamic Azad University, Khomeinishahr, Iran; Corresponding author.This study presents an investigation into the vibration resonance of Mindlin piezoelectric polymeric nanoplates under electromechanical loading, particularly in the presence of a rotating nanoparticle. The novelty of this research lies in the application of non-local piezoelasticity, which effectively incorporates the influence of small-scale factors on the resonance behavior of the nanoplate. By employing a variational approach to derive the governing equations, this work advances the understanding of how various parameters such as the non-local parameter, dimensions of the nanoplate, excitation voltage, and mass of the nanoparticle affect resonance frequencies. The Galerkin method is utilized to solve the partial differential equations governing the dynamics of the piezoelectric polymeric nanoplate, marking a significant methodological contribution to the field. The incremental harmonic balance approach is then applied to estimate the system's resonance frequencies, with numerical simulations confirming their existence. This research not only elucidates the complex interactions affecting resonance behavior but also highlights the potential for optimizing the design of nanostructures in various applications, including sensors and energy-harvesting devices. The findings suggest that increasing the non-local parameter softens the nanoplate's rigidity, leading to decreased resonance frequencies, while modifications in dimensions and applied voltages can enhance these frequencies. Overall, this study lays the groundwork for future explorations into the dynamic behavior of piezoelectric materials, emphasizing the importance of small-scale effects in nanotechnology applications.http://www.sciencedirect.com/science/article/pii/S2666016425000325Vibration resonancePiezoelectric polymeric materialElastic nanoplateMoving nanoparticleIncremental harmonic balance method |
spellingShingle | Narinderjit Singh Sawaran Singh Waqed H. Hassan Zainab Mоhammed Ameen Ahmed Younis Mohamed Atiah Al-zahy Soheil Salahshour Mostafa Pirmoradian Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates Case Studies in Chemical and Environmental Engineering Vibration resonance Piezoelectric polymeric material Elastic nanoplate Moving nanoparticle Incremental harmonic balance method |
title | Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates |
title_full | Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates |
title_fullStr | Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates |
title_full_unstemmed | Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates |
title_short | Non-local piezoelasticity to incorporate the influence of small-scale factors on the resonance behavior of the Mindlin piezoelectric polymeric nanoplates |
title_sort | non local piezoelasticity to incorporate the influence of small scale factors on the resonance behavior of the mindlin piezoelectric polymeric nanoplates |
topic | Vibration resonance Piezoelectric polymeric material Elastic nanoplate Moving nanoparticle Incremental harmonic balance method |
url | http://www.sciencedirect.com/science/article/pii/S2666016425000325 |
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