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The method is based on the measured micro-vibration signals of the infrared refrigerator, using the finite element method to perform the transient response analysis of the opto-mechanical system in Patran\/Nastran software. The interface tool is written by Matlab to achieve the calculation of rigid body displacement and real-time data interaction with Zemax. The results show that when the working wavelength is 1 \u03bcm, the optical system has a wavefront error Root-Mean-Square value of less than 0.071\u03bb in 4 s. Evaluating the effect of micro-vibration on the imaging quality of the system in terms of the peak ratio of the point spread function. When the exposure time was 2 s, the ratio maximum values of 0.4628 and 0.6207 were reached for the X-axis and Y-axis, respectively. The method provides an important reference basis for the evaluation of imaging quality of an optical system under micro-vibration environment with a long exposure time.<\/jats:p>","DOI":"10.3390\/s25061901","type":"journal-article","created":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T06:10:53Z","timestamp":1742364653000},"page":"1901","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Research on Micro-Vibration Analysis of Segmented Telescope Based on Opto-Mechanical Integration"],"prefix":"10.3390","volume":"25","author":[{"given":"Kangmin","family":"Wen","sequence":"first","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lingjie","family":"Wang","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xuefeng","family":"Zeng","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Liu","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenyan","family":"Li","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lianqiang","family":"Wang","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Sha","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Di","family":"Zhou","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"},{"name":"State Key Laboratory of Advanced Manufacturing for Optical Systems, Changchun 130033, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"25","DOI":"10.3788\/co.20171001.0025","article-title":"Review on optical synthetic aperture imaging technique","volume":"10","author":"Zhou","year":"2017","journal-title":"Chin. 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