{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T02:13:16Z","timestamp":1776651196855,"version":"3.51.2"},"reference-count":24,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T00:00:00Z","timestamp":1740960000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12272094"],"award-info":[{"award-number":["12272094"]}],"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":["614200420240103"],"award-info":[{"award-number":["614200420240103"]}],"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":["2024J01244"],"award-info":[{"award-number":["2024J01244"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Key Laboratory of Reliability and Environmental Engineering","award":["12272094"],"award-info":[{"award-number":["12272094"]}]},{"name":"National Key Laboratory of Reliability and Environmental Engineering","award":["614200420240103"],"award-info":[{"award-number":["614200420240103"]}]},{"name":"National Key Laboratory of Reliability and Environmental Engineering","award":["2024J01244"],"award-info":[{"award-number":["2024J01244"]}]},{"name":"Natural Science Foundation of Fujian Province of China","award":["12272094"],"award-info":[{"award-number":["12272094"]}]},{"name":"Natural Science Foundation of Fujian Province of China","award":["614200420240103"],"award-info":[{"award-number":["614200420240103"]}]},{"name":"Natural Science Foundation of Fujian Province of China","award":["2024J01244"],"award-info":[{"award-number":["2024J01244"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Satellites experience complex vibrational environments during their launch and operation, potentially leading to structural failures and equipment damage. This work aimed to mitigate this issue by designing a variable cross-sectional metal rubber isolator (VCMRI), which was fully constructed from metal and featured a symmetric structure. Initially, a finite element model of the VCMRI was developed, incorporating symmetric boundary conditions and employing the Bergstr\u00f6m\u2013Boyce model to define variable cross-sectional metal rubber (VCMR) parameters. Subsequently, sinusoidal sweep tests were performed to investigate how variations in VCMR density, spring stiffness, and exc itation deflection angle affect the peak acceleration response and natural frequency of the VCMRI. Finally, simulation analyses were conducted and insertion loss was derived from the results to assess the vibration isolation performance of the VCMRI. The results indicate that the finite element model accurately captures the dynamic behavior of the VCMRI with minimal error. In addition, the VCMRI demonstrates robust vibration isolation performance by effectively integrating the influences of VCMR density, spring stiffness, and excitation angle, achieving insertion losses of up to 19.2 dB across a wide frequency range. It provides robust theoretical support for the design and performance optimization of isolation systems, with potential positive impacts on relevant engineering applications.<\/jats:p>","DOI":"10.3390\/sym17030382","type":"journal-article","created":{"date-parts":[[2025,3,3]],"date-time":"2025-03-03T09:04:49Z","timestamp":1740992689000},"page":"382","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Structural Design and Vibro-Mechanical Characterization Analysis of Variable Cross-Sectional Metal Rubber Isolator"],"prefix":"10.3390","volume":"17","author":[{"given":"Jianchao","family":"Liu","sequence":"first","affiliation":[{"name":"Institute of Metal Rubber & Vibration Noise, School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China"}]},{"given":"Xinzhe","family":"Liu","sequence":"additional","affiliation":[{"name":"Institute of Metal Rubber & Vibration Noise, School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China"}]},{"given":"Hanbin","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Metal Rubber & Vibration Noise, School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China"}]},{"given":"Zixiong","family":"Ye","sequence":"additional","affiliation":[{"name":"Institute of Metal Rubber & Vibration Noise, School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8021-6685","authenticated-orcid":false,"given":"Xin","family":"Xue","sequence":"additional","affiliation":[{"name":"Institute of Metal Rubber & Vibration Noise, School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3993","DOI":"10.1016\/j.asr.2024.01.020","article-title":"Vibration Isolation Methods in Spacecraft: A Review of Current Techniques","volume":"73","author":"Shi","year":"2024","journal-title":"Adv. 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