{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:57:59Z","timestamp":1753887479504,"version":"3.41.2"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,5,7]],"date-time":"2021-05-07T00:00:00Z","timestamp":1620345600000},"content-version":"vor","delay-in-days":126,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012247","name":"Program of Shanghai Academic\/Technology Research Leader","doi-asserted-by":"crossref","award":["18XD1421700","2017YFB1104700"],"award-info":[{"award-number":["18XD1421700","2017YFB1104700"]}],"id":[{"id":"10.13039\/501100012247","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Key Research and Development Program of China","award":["18XD1421700","2017YFB1104700"],"award-info":[{"award-number":["18XD1421700","2017YFB1104700"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Sensors"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>The measurement of resonator\u2019s frequency splitting is a critical issue in vibratory gyroscopes, which would be elaborately treated in practical applications. The high\u2010precision measurement of frequency splitting plays a significant role in frequency tuning control. A novel time\u2010domain method of frequency splitting measurement for hemispherical resonator based on the standing wave swing effect was proposed. The frequency splitting value of the resonator can be directly obtained by taking the reciprocal of the one cycle time of standing wave swings, rather than through the frequency difference between two resonant modes. To begin with, the method was analyzed theoretically, and the measurement resolution and accuracy of the method were researched in detail. Simulation and experimental results showed that the frequency splitting value can be effectively obtained by measuring the period of the standing wave swings, improving the fine measurement resolution and high accuracy. The frequency splitting of lower than 0.007\u2009Hz has to be effectively obtained in the experiment. It is found that the measurement error is a small proportional part of frequency splitting value, so the measurement accuracy is very high when the frequency splitting is very low. Therefore, this time\u2010domain method would contribute to the measurement of ultralow\u2010frequency splitting for high\u2010Q resonators.<\/jats:p>","DOI":"10.1155\/2021\/5559288","type":"journal-article","created":{"date-parts":[[2021,5,8]],"date-time":"2021-05-08T00:33:39Z","timestamp":1620434019000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Research on the Time\u2010Domain Measurement Method of Low\u2010Frequency Splitting for Hemispherical Resonator"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6302-4761","authenticated-orcid":false,"given":"Shaoliang","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hao","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0300-6283","authenticated-orcid":false,"given":"Wanliang","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Qu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Duan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yijie","family":"Rong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Jin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chaojiang","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,5,7]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1134\/S2075108714020047"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.3390\/s120506434"},{"key":"e_1_2_8_3_2","doi-asserted-by":"crossref","unstructured":"PaiP. 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