{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T17:20:07Z","timestamp":1780420807228,"version":"3.54.1"},"reference-count":46,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T00:00:00Z","timestamp":1720569600000},"content-version":"vor","delay-in-days":7,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52275266"],"award-info":[{"award-number":["52275266"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52275249"],"award-info":[{"award-number":["52275249"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100012554","name":"Department of Education, Hubei Province","doi-asserted-by":"publisher","award":["D20221701"],"award-info":[{"award-number":["D20221701"]}],"id":[{"id":"10.13039\/100012554","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,7,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This work presents a generalized substructure-based topology optimization method for passive constrained layer damping (PCLD) structures. Here, the model of PCLD structure is obtained by the Kirchhoff\u2013Love thin plate formulation, and the whole structure is assumed to be composed of substructures with different yet connected scales and artificial lattice geometry features. Each substructure is condensed into a super-element to obtain the associated density-related matrices under the different geometry feature parameters, and the surrogate model for the stiffness and mass matrix of PCLD substructures with different densities has been particularly built. Using cubic spline interpolation, the derivatives of super-element matrices to the associated densities can be evaluated efficiently and accurately. The modal loss factor is defined as objective functions and topology optimization for the PCLD structures is formulated based on the model for PCLD plates that are described by combining the condensed substructures. Numerical examples under two lattice patterns of substructures and their corresponding physical tests show that the correctness and superiority of this substructure-based topology optimization approach for PCLD plates are verified.<\/jats:p>","DOI":"10.1093\/jcde\/qwae063","type":"journal-article","created":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T04:48:54Z","timestamp":1720241334000},"page":"109-123","source":"Crossref","is-referenced-by-count":3,"title":["Substructure-based topology optimization design method for passive constrained damping structures"],"prefix":"10.1093","volume":"11","author":[{"given":"Zijun","family":"Wu","sequence":"first","affiliation":[{"name":"Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University , Wuhan 430200 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Renbin","family":"Xiao","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology , Wuhan 430074 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaofeng","family":"Xiao","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University , Wuhan 430200 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2024,7,9]]},"reference":[{"key":"2024072209555263100_bib1","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/0022-460X(84)90511-X","article-title":"Vibration and damping analysis of multilayered rectangular plates with constrained viscoelastic layers","volume":"97","author":"Alam","year":"1984","journal-title":"Journal of Sound and Vibration"},{"key":"2024072209555263100_bib2","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1016\/j.jsv.2007.08.024","article-title":"Optimal position and shape of applied damping 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