{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T00:38:06Z","timestamp":1783384686968,"version":"3.54.6"},"reference-count":41,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2022,8,9]],"date-time":"2022-08-09T00:00:00Z","timestamp":1660003200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["11972318"],"award-info":[{"award-number":["11972318"]}]},{"name":"National Natural Science Foundation of China","award":["12102370"],"award-info":[{"award-number":["12102370"]}]},{"name":"National Natural Science Foundation of China","award":["SZDKF-202001"],"award-info":[{"award-number":["SZDKF-202001"]}]},{"name":"National Natural Science Foundation of China","award":["2682021CX082"],"award-info":[{"award-number":["2682021CX082"]}]},{"name":"National Natural Science Foundation of China","award":["MOST110-2222-E-008-001-MY2"],"award-info":[{"award-number":["MOST110-2222-E-008-001-MY2"]}]},{"name":"Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province","award":["11972318"],"award-info":[{"award-number":["11972318"]}]},{"name":"Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province","award":["12102370"],"award-info":[{"award-number":["12102370"]}]},{"name":"Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province","award":["SZDKF-202001"],"award-info":[{"award-number":["SZDKF-202001"]}]},{"name":"Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province","award":["2682021CX082"],"award-info":[{"award-number":["2682021CX082"]}]},{"name":"Opening Project of Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province","award":["MOST110-2222-E-008-001-MY2"],"award-info":[{"award-number":["MOST110-2222-E-008-001-MY2"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["11972318"],"award-info":[{"award-number":["11972318"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["12102370"],"award-info":[{"award-number":["12102370"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["SZDKF-202001"],"award-info":[{"award-number":["SZDKF-202001"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2682021CX082"],"award-info":[{"award-number":["2682021CX082"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["MOST110-2222-E-008-001-MY2"],"award-info":[{"award-number":["MOST110-2222-E-008-001-MY2"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Ministry of Science and Technology of the Republic of China","award":["11972318"],"award-info":[{"award-number":["11972318"]}]},{"name":"Ministry of Science and Technology of the Republic of China","award":["12102370"],"award-info":[{"award-number":["12102370"]}]},{"name":"Ministry of Science and Technology of the Republic of China","award":["SZDKF-202001"],"award-info":[{"award-number":["SZDKF-202001"]}]},{"name":"Ministry of Science and Technology of the Republic of China","award":["2682021CX082"],"award-info":[{"award-number":["2682021CX082"]}]},{"name":"Ministry of Science and Technology of the Republic of China","award":["MOST110-2222-E-008-001-MY2"],"award-info":[{"award-number":["MOST110-2222-E-008-001-MY2"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>We propose an efficient semi-analytical method capable of modeling the propagation of flexural waves on cracked plate structures with any forms of excitations, based on the same group of vibration characteristics and validated by a non-contact scanning Laser Doppler Vibrometer (LDV) system. The proposed modeling method is based on the superposition of the vibrational normal modes of the detected structure, which can be applied to analyze long-time and full-field transient wave propagations. By connecting the vibration-based transient model to a power flow analysis technique, we further analyze the transient waves on a cracked plate subjected to different excitation sources and show the influence of the damage event on the path of the propagating waves. The experimental results indicate that the proposed semi-analytical method can model the flexural waves, and through that, the crack information can be revealed.<\/jats:p>","DOI":"10.3390\/s22165958","type":"journal-article","created":{"date-parts":[[2022,8,10]],"date-time":"2022-08-10T04:20:32Z","timestamp":1660105232000},"page":"5958","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Modeling Full-Field Transient Flexural Waves on Damaged Plates with Arbitrary Excitations Using Temporal Vibration Characteristics"],"prefix":"10.3390","volume":"22","author":[{"given":"Dan-Feng","family":"Wang","sequence":"first","affiliation":[{"name":"Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, School of Aeronautics and Astronautics, Institute of Applied Mechanics, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kuo-Chih","family":"Chuang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, School of Aeronautics and Astronautics, Institute of Applied Mechanics, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0217-6785","authenticated-orcid":false,"given":"Jun-Jie","family":"Liu","sequence":"additional","affiliation":[{"name":"Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2558-8552","authenticated-orcid":false,"given":"Chan-Yi","family":"Liao","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, National Central University, Taoyuan 32001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Golub, M.V., Shpak, A.N., Mueller, I., Fomenko, S.I., and Fritzen, C. 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