{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T21:57:00Z","timestamp":1773957420432,"version":"3.50.1"},"reference-count":20,"publisher":"MDPI AG","issue":"20","license":[{"start":{"date-parts":[[2019,10,11]],"date-time":"2019-10-11T00:00:00Z","timestamp":1570752000000},"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":["51805136"],"award-info":[{"award-number":["51805136"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Key R &amp; D Program of China","award":["2017YFF0204800"],"award-info":[{"award-number":["2017YFF0204800"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The structural deformations caused by environmental changes in temperature, vibration, and other factors are harmful to the stability of high precision measurement equipment. The stability and optimal design method of a 2D optoelectronic angle sensor have been investigated in this study. The drift caused by structural deformations of the angle sensor has been studied and a drift error model has been achieved. Key components sensitive to thermal and vibrational effects were identified by error sensitivity analysis and simulation. The mounts of key components were analyzed using finite element analysis software and optimized based on the concept of symmetric structures. Stability experiments for the original and optimized angle sensors have been carried out for contrast. As a result, the stability of the optimized angle sensor has been improved by more than 63%. It is verified that the modeling and optimal design method is effective and low-cost, which can also be applied to improve the stability of other sensors with much more complex principles and structures.<\/jats:p>","DOI":"10.3390\/s19204409","type":"journal-article","created":{"date-parts":[[2019,10,11]],"date-time":"2019-10-11T10:53:03Z","timestamp":1570791183000},"page":"4409","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Modeling and Optimal Design for a High Stability 2D Optoelectronic Angle Sensor"],"prefix":"10.3390","volume":"19","author":[{"given":"Zhenying","family":"Cheng","sequence":"first","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liying","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3743-6567","authenticated-orcid":false,"given":"Ruijun","family":"Li","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1320-9412","authenticated-orcid":false,"given":"Kuang-Chao","family":"Fan","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"},{"name":"School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongli","family":"Li","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongqing","family":"Wei","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Opto-electronics Engineering, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,10,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1088\/0957-0233\/17\/3\/S12","article-title":"Development of a low-cost micro-CMM for 3D micro\/nano measurements","volume":"17","author":"Fan","year":"2006","journal-title":"Meas. 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