On the Identification of Sectional Deformation Modes of Thin-Walled Structures with Doubly Symmetric Cross-Sections Based on the Shell-Like Deformation

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dc.contributor.authorZhang, Lei
dc.contributor.authorJi, Aimin
dc.contributor.authorZhu, Weidong
dc.contributor.authorPeng, Liping
dc.date.accessioned2019-02-11T17:03:54Z
dc.date.available2019-02-11T17:03:54Z
dc.date.issued2018-12-16
dc.description.abstractIn this paper, a new approach is proposed to identify sectional deformation modes of the doubly symmetric thin-walled cross-section, which are to be employed in formulating a one-dimensional model of thin-walled structures. The approach considers the three-dimensional displacement field of the structure as the linear superposition of a set of sectional deformation modes. To retrieve these modes, the modal analysis of a thin-walled structure is carried out based on shell/plate theory, with the shell-like deformation shapes extracted. The components of classical modes are removed from these shapes based on a novel criterion, with residual deformation shapes left. By introducing benchmark points, these shapes are further classified into several deformation patterns, and within each pattern, higher-order deformation modes are derived by removing the components of identified ones. Considering the doubly symmetric cross-section, these modes are approximated with shape functions applying the interpolation method. The identified modes are finally used to deduce the governing equations of the thin-walled structure, applying Hamilton’s principle. Numerical examples are also presented to validate the accuracy and efficiency of the new model in reproducing three-dimensional behaviors of thin-walled structures.en_US
dc.description.sponsorshipThis research was funded by the National Natural Science Foundation of China (Grant No. 51805144), the Foundation of the State Key Laboratory of Mineral Processing (Grant No. BGRIMM-KJSKL-2016-04), the Natural Science Foundation of Jiangsu Province (Grant No. BK20170300), and the Fundamental Research Funds for the Central Universities (Grant No. 2016B14914).en_US
dc.description.urihttps://www.mdpi.com/2073-8994/10/12/759en_US
dc.format.extent22 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2badu-xddw
dc.identifier.citationLei Zhang , Aimin Ji , Weidong Zhu and Liping Peng, On the Identification of Sectional Deformation Modes of Thin-Walled Structures with Doubly Symmetric Cross-Sections Based on the Shell-Like Deformation, Symmetry 2018, 10(12), 759; https://doi.org/10.3390/sym10120759en_US
dc.identifier.urihttps://doi.org/10.3390/sym10120759
dc.identifier.urihttp://hdl.handle.net/11603/12764
dc.language.isoen_USen_US
dc.publisherMDPIen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mechanical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.rightsAttribution 4.0 International (CC BY 4.0)*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.subjectthin-walled structuresen_US
dc.subjecthigher-order deformation modesen_US
dc.subjectidentificationen_US
dc.subjectdoubly symmetric cross-sectionsen_US
dc.subjectshell-like deformationen_US
dc.titleOn the Identification of Sectional Deformation Modes of Thin-Walled Structures with Doubly Symmetric Cross-Sections Based on the Shell-Like Deformationen_US
dc.typeTexten_US

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