A consistent rayleigh method-based formulation for analytically determining the dynamically equivalent mass and stiffness parameters of Euler-Bernoulli beams.
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| Title: | A consistent rayleigh method-based formulation for analytically determining the dynamically equivalent mass and stiffness parameters of Euler-Bernoulli beams. |
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| Authors: | Pappalardo, Carmine Maria1 (AUTHOR) cpappalardo@unisa.it |
| Source: | Meccanica. Aug2026, Vol. 61 Issue 4, p1-28. 28p. |
| Subjects: | Rayleigh-Ritz method, Euler-Bernoulli beam theory, Elastic structures (Mechanics), Computational mechanics, Stiffness (Engineering), Inertial mass, Structural analysis (Engineering) |
| Abstract: | This paper introduces a new analytical approach, the Consistent Rayleigh Method-Based Formulation (CRMBF), aimed at developing dynamically equivalent mechanical models of elastic structures. Inspired by the well-known Rayleigh-Ritz technique and the classical modal truncation concept, this study presents an alternative method that employs the Rayleigh approach to effectively derive discrete system models from their continuous versions based on the Euler-Bernoulli beam theory. While well-documented existing strategies for deriving equivalent models rely on static discretization, this research presents a different perspective by introducing a dynamic version of the Rayleigh method that improves the estimation of equivalent mass and stiffness coefficients for continuous systems, thereby simplifying the analysis of complex beam structures. By so doing, the analytical, numerical, and experimental results obtained from the demonstrative examples and the case studies analyzed in this work show that the dynamic version of the Rayleigh method introduced here outperforms its static counterpart, which is conventionally used in the literature. In particular, the critical discussion and the experimental comparison provided in the paper highlight the potential of the proposed dynamic approach, resulting in discrete equivalent models of beam structures that better align with the fields of computational mechanics and structural analysis. [ABSTRACT FROM AUTHOR] |
| Copyright of Meccanica 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 | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194698665 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A consistent rayleigh method-based formulation for analytically determining the dynamically equivalent mass and stiffness parameters of Euler-Bernoulli beams. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pappalardo%2C+Carmine+Maria%22">Pappalardo, Carmine Maria</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cpappalardo@unisa.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Meccanica%22">Meccanica</searchLink>. Aug2026, Vol. 61 Issue 4, p1-28. 28p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Rayleigh-Ritz+method%22">Rayleigh-Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Euler-Bernoulli+beam+theory%22">Euler-Bernoulli beam theory</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+structures+%28Mechanics%29%22">Elastic structures (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+mechanics%22">Computational mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Stiffness+%28Engineering%29%22">Stiffness (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Inertial+mass%22">Inertial mass</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+analysis+%28Engineering%29%22">Structural analysis (Engineering)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper introduces a new analytical approach, the Consistent Rayleigh Method-Based Formulation (CRMBF), aimed at developing dynamically equivalent mechanical models of elastic structures. Inspired by the well-known Rayleigh-Ritz technique and the classical modal truncation concept, this study presents an alternative method that employs the Rayleigh approach to effectively derive discrete system models from their continuous versions based on the Euler-Bernoulli beam theory. While well-documented existing strategies for deriving equivalent models rely on static discretization, this research presents a different perspective by introducing a dynamic version of the Rayleigh method that improves the estimation of equivalent mass and stiffness coefficients for continuous systems, thereby simplifying the analysis of complex beam structures. By so doing, the analytical, numerical, and experimental results obtained from the demonstrative examples and the case studies analyzed in this work show that the dynamic version of the Rayleigh method introduced here outperforms its static counterpart, which is conventionally used in the literature. In particular, the critical discussion and the experimental comparison provided in the paper highlight the potential of the proposed dynamic approach, resulting in discrete equivalent models of beam structures that better align with the fields of computational mechanics and structural analysis. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Meccanica 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11012-026-02149-9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 28 StartPage: 1 Subjects: – SubjectFull: Rayleigh-Ritz method Type: general – SubjectFull: Euler-Bernoulli beam theory Type: general – SubjectFull: Elastic structures (Mechanics) Type: general – SubjectFull: Computational mechanics Type: general – SubjectFull: Stiffness (Engineering) Type: general – SubjectFull: Inertial mass Type: general – SubjectFull: Structural analysis (Engineering) Type: general Titles: – TitleFull: A consistent rayleigh method-based formulation for analytically determining the dynamically equivalent mass and stiffness parameters of Euler-Bernoulli beams. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pappalardo, Carmine Maria IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00256455 Numbering: – Type: volume Value: 61 – Type: issue Value: 4 Titles: – TitleFull: Meccanica Type: main |
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