{"title":"Static and dynamic analysis of high-order defective sandwich beams by a novel weak-form quadrature element method","authors":"Kai Wang , Chuang Feng , Teng Yong Ng , Ding Zhou","doi":"10.1016/j.engstruct.2024.119455","DOIUrl":null,"url":null,"abstract":"<div><div>This paper proposes a novel weak-form quadrature element method for analyzing defective sandwich beams with various boundary conditions. Discrete governing equation can be derived using Gauss-Lobatto points through the extended high-order sandwich panel theory and the energy variational principle. Based on the static equivalence principle, the unknown quantities at internal quadrature points can be determined using the physical quantities at endpoints while maintaining accuracy. This method significantly reduces the size of the modified element matrix, leading to a smaller global matrix. The proposed method is validated through dynamic and static numerical examples involving defective sandwich beams with different boundary conditions and geometric parameters. The results are compared with existing methods, demonstrating the rapid convergence and high accuracy of the proposed method in predicting displacements and stresses. The influence of defects on the mechanical behavior of sandwich beams is analyzed.</div></div>","PeriodicalId":11763,"journal":{"name":"Engineering Structures","volume":"325 ","pages":"Article 119455"},"PeriodicalIF":5.6000,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0141029624020170","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
This paper proposes a novel weak-form quadrature element method for analyzing defective sandwich beams with various boundary conditions. Discrete governing equation can be derived using Gauss-Lobatto points through the extended high-order sandwich panel theory and the energy variational principle. Based on the static equivalence principle, the unknown quantities at internal quadrature points can be determined using the physical quantities at endpoints while maintaining accuracy. This method significantly reduces the size of the modified element matrix, leading to a smaller global matrix. The proposed method is validated through dynamic and static numerical examples involving defective sandwich beams with different boundary conditions and geometric parameters. The results are compared with existing methods, demonstrating the rapid convergence and high accuracy of the proposed method in predicting displacements and stresses. The influence of defects on the mechanical behavior of sandwich beams is analyzed.
期刊介绍:
Engineering Structures provides a forum for a broad blend of scientific and technical papers to reflect the evolving needs of the structural engineering and structural mechanics communities. Particularly welcome are contributions dealing with applications of structural engineering and mechanics principles in all areas of technology. The journal aspires to a broad and integrated coverage of the effects of dynamic loadings and of the modelling techniques whereby the structural response to these loadings may be computed.
The scope of Engineering Structures encompasses, but is not restricted to, the following areas: infrastructure engineering; earthquake engineering; structure-fluid-soil interaction; wind engineering; fire engineering; blast engineering; structural reliability/stability; life assessment/integrity; structural health monitoring; multi-hazard engineering; structural dynamics; optimization; expert systems; experimental modelling; performance-based design; multiscale analysis; value engineering.
Topics of interest include: tall buildings; innovative structures; environmentally responsive structures; bridges; stadiums; commercial and public buildings; transmission towers; television and telecommunication masts; foldable structures; cooling towers; plates and shells; suspension structures; protective structures; smart structures; nuclear reactors; dams; pressure vessels; pipelines; tunnels.
Engineering Structures also publishes review articles, short communications and discussions, book reviews, and a diary on international events related to any aspect of structural engineering.