Low-frequency vibration suppression of meta-beam with softening nonlinearity.
Saved in:
| Title: | Low-frequency vibration suppression of meta-beam with softening nonlinearity. |
|---|---|
| Authors: | Zhang, Weixing1 (AUTHOR), Yang, Dongshuo1 (AUTHOR), Guo, Xiangying1 (AUTHOR) eagle2008guo@yeah.net |
| Source: | Applied Mathematics & Mechanics. Jun2025, Vol. 46 Issue 6, p1011-1028. 18p. |
| Subjects: | Hamilton's principle function, Band gaps, Modal analysis, Galerkin methods, Numerical calculations |
| Abstract: | In order to obtain a lower frequency band gap, this paper proposes a novel locally resonant meta-beam incorporating a softening nonlinear factor. An improved cam-roller structure is designed in this meta-beam to achieve the softening nonlinear stiffness of the local oscillators. Firstly, based on Hamilton's principle and the Galerkin method, the control equations for the coupled system are established. The theoretical band gap boundary is then derived with the modal analysis method. The theoretical results reveal that the band gap of the meta-beam shifts towards lower frequencies due to the presence of a softening nonlinear factor, distinguishing it from both linear metamaterials and those with hardening nonlinear characteristics. Then, the vibration attenuation characteristics of a finite size meta-beam are investigated through numerical calculation, and are verified by the theoretical results. Furthermore, parameter studies indicate that the reasonable design of the local oscillator parameters based on lightweight principles helps to achieve further broadband and efficient vibration reduction in the low-frequency region. Finally, a prototype of the meta-beam is fabricated and assembled, and the formations of the low-frequency band gap and the amplitude-induced band gap phenomenon are verified through experiments. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 185620361 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Low-frequency vibration suppression of meta-beam with softening nonlinearity. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Weixing%22">Zhang, Weixing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Dongshuo%22">Yang, Dongshuo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Guo%2C+Xiangying%22">Guo, Xiangying</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> eagle2008guo@yeah.net</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Mechanics%22">Applied Mathematics & Mechanics</searchLink>. Jun2025, Vol. 46 Issue 6, p1011-1028. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Hamilton's+principle+function%22">Hamilton's principle function</searchLink><br /><searchLink fieldCode="DE" term="%22Band+gaps%22">Band gaps</searchLink><br /><searchLink fieldCode="DE" term="%22Modal+analysis%22">Modal analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Galerkin+methods%22">Galerkin methods</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In order to obtain a lower frequency band gap, this paper proposes a novel locally resonant meta-beam incorporating a softening nonlinear factor. An improved cam-roller structure is designed in this meta-beam to achieve the softening nonlinear stiffness of the local oscillators. Firstly, based on Hamilton's principle and the Galerkin method, the control equations for the coupled system are established. The theoretical band gap boundary is then derived with the modal analysis method. The theoretical results reveal that the band gap of the meta-beam shifts towards lower frequencies due to the presence of a softening nonlinear factor, distinguishing it from both linear metamaterials and those with hardening nonlinear characteristics. Then, the vibration attenuation characteristics of a finite size meta-beam are investigated through numerical calculation, and are verified by the theoretical results. Furthermore, parameter studies indicate that the reasonable design of the local oscillator parameters based on lightweight principles helps to achieve further broadband and efficient vibration reduction in the low-frequency region. Finally, a prototype of the meta-beam is fabricated and assembled, and the formations of the low-frequency band gap and the amplitude-induced band gap phenomenon are verified through experiments. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=185620361 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10483-025-3258-9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 1011 Subjects: – SubjectFull: Hamilton's principle function Type: general – SubjectFull: Band gaps Type: general – SubjectFull: Modal analysis Type: general – SubjectFull: Galerkin methods Type: general – SubjectFull: Numerical calculations Type: general Titles: – TitleFull: Low-frequency vibration suppression of meta-beam with softening nonlinearity. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Weixing – PersonEntity: Name: NameFull: Yang, Dongshuo – PersonEntity: Name: NameFull: Guo, Xiangying IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 02534827 Numbering: – Type: volume Value: 46 – Type: issue Value: 6 Titles: – TitleFull: Applied Mathematics & Mechanics Type: main |
| ResultId | 1 |
