Academic Journal
P–Δ Effect Analysis of Tall Slender Structures Subjected to Arbitrary Time-Variant Axial Forces: A Differential Quadrature-Based Approach.
| Title: | P–Δ Effect Analysis of Tall Slender Structures Subjected to Arbitrary Time-Variant Axial Forces: A Differential Quadrature-Based Approach. |
|---|---|
| Authors: | Lu, Yan, Zhai, Yinquan, Li, Hongjing, Yang, Xiaopeng, Sun, Guangjun |
| Source: | International Journal of Structural Stability & Dynamics; 9/30/2026, Vol. 26 Issue 21, p1-24, 24p |
| Subject Terms: | Differential quadrature method, Axial loads, Structural dynamics, Structural analysis (Engineering), Structural stability, Tall buildings |
| Abstract: | Traditional methods for analyzing the P– Δ effect in tall structures often fail to fully account for time-varying axial forces, potentially underestimating the impact of the P– Δ effect on structural safety. To address this limitation, this paper introduces a high-precision method based on the Differential Quadrature Method (DQM) for advanced analysis of the P– Δ effect, applicable to both distributed mass, and concentrated mass structural systems. This method discretizes the partial differential equations governing the motion of structures subjected to arbitrary lateral and axial dynamic loads using Differential Quadrature (DQ) principles, applying DQ weighting matrix corrections method to handle boundary conditions. Additionally, it incorporates the unconditionally stable Newmark average acceleration method to solve for dynamic responses inclusive of the P– Δ effect. The method is validated through case studies of high-rise buildings and tall bridge piers, demonstrating strong agreement with results from general finite element software. Results indicate that the proposed method not only effectively captures the influence of time-invariant and time-varying axial forces on lateral vibration characteristics but also provides high-precision dynamic response analysis, offering a highly efficient, and practical tool for analyzing dynamic responses in tall structures. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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: | Complementary Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: edb DbLabel: Complementary Index An: 194224583 RelevancyScore: 1067 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1066.68017578125 |
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| Items | – Name: Title Label: Title Group: Ti Data: P–Δ Effect Analysis of Tall Slender Structures Subjected to Arbitrary Time-Variant Axial Forces: A Differential Quadrature-Based Approach. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lu%2C+Yan%22">Lu, Yan</searchLink><br /><searchLink fieldCode="AR" term="%22Zhai%2C+Yinquan%22">Zhai, Yinquan</searchLink><br /><searchLink fieldCode="AR" term="%22Li%2C+Hongjing%22">Li, Hongjing</searchLink><br /><searchLink fieldCode="AR" term="%22Yang%2C+Xiaopeng%22">Yang, Xiaopeng</searchLink><br /><searchLink fieldCode="AR" term="%22Sun%2C+Guangjun%22">Sun, Guangjun</searchLink> – Name: TitleSource Label: Source Group: Src Data: International Journal of Structural Stability & Dynamics; 9/30/2026, Vol. 26 Issue 21, p1-24, 24p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Differential+quadrature+method%22">Differential quadrature method</searchLink><br /><searchLink fieldCode="DE" term="%22Axial+loads%22">Axial loads</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+dynamics%22">Structural dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+analysis+%28Engineering%29%22">Structural analysis (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+stability%22">Structural stability</searchLink><br /><searchLink fieldCode="DE" term="%22Tall+buildings%22">Tall buildings</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Traditional methods for analyzing the P– Δ effect in tall structures often fail to fully account for time-varying axial forces, potentially underestimating the impact of the P– Δ effect on structural safety. To address this limitation, this paper introduces a high-precision method based on the Differential Quadrature Method (DQM) for advanced analysis of the P– Δ effect, applicable to both distributed mass, and concentrated mass structural systems. This method discretizes the partial differential equations governing the motion of structures subjected to arbitrary lateral and axial dynamic loads using Differential Quadrature (DQ) principles, applying DQ weighting matrix corrections method to handle boundary conditions. Additionally, it incorporates the unconditionally stable Newmark average acceleration method to solve for dynamic responses inclusive of the P– Δ effect. The method is validated through case studies of high-rise buildings and tall bridge piers, demonstrating strong agreement with results from general finite element software. Results indicate that the proposed method not only effectively captures the influence of time-invariant and time-varying axial forces on lateral vibration characteristics but also provides high-precision dynamic response analysis, offering a highly efficient, and practical tool for analyzing dynamic responses in tall structures. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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: 10.1142/S0219455426501786 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 1 Subjects: – SubjectFull: Differential quadrature method Type: general – SubjectFull: Axial loads Type: general – SubjectFull: Structural dynamics Type: general – SubjectFull: Structural analysis (Engineering) Type: general – SubjectFull: Structural stability Type: general – SubjectFull: Tall buildings Type: general Titles: – TitleFull: P–Δ Effect Analysis of Tall Slender Structures Subjected to Arbitrary Time-Variant Axial Forces: A Differential Quadrature-Based Approach. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lu, Yan – PersonEntity: Name: NameFull: Zhai, Yinquan – PersonEntity: Name: NameFull: Li, Hongjing – PersonEntity: Name: NameFull: Yang, Xiaopeng – PersonEntity: Name: NameFull: Sun, Guangjun IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 09 Text: 9/30/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02194554 Numbering: – Type: volume Value: 26 – Type: issue Value: 21 Titles: – TitleFull: International Journal of Structural Stability & Dynamics Type: main |
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