{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T09:13:42Z","timestamp":1771665222090,"version":"3.50.1"},"reference-count":50,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2021,6,6]],"date-time":"2021-06-06T00:00:00Z","timestamp":1622937600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The blades in a wind turbine are currently manufactured with flexible and light materials, which make them more susceptible to the effects of vibrations when the wind speed is high enough, causing fatigue damage, affecting the functionality of its structure and aerodynamic efficiency. This work presents a comparison of the modal vibration parameters, applied to a cantilever beam, determined with two experimental methods\u2014the use of accelerometers and a proposed optical non-contact method\u2014based on the principle of laser triangulation and photogrammetry techniques. This technique uses the geometric symmetry of the equidistant displacements along the z axis of the beam to obtain the amplitude data. Parameters such as natural frequency and modal form are obtained by fitting the data to a nonlinear equation with a solution which is an exponential\/harmonic equation. Also, analytically, these parameters are determined, and a comparison is made between the experimental methods. The result shows that the relative error of the first-order natural vibration frequency is below 1%. The proposed method is simple, efficient, reliable, and it is also a method that has not been applied to the test of wind turbine blades, so its implementation as this type of wind turbine component is an area of opportunity for the validation of modal vibration parameters in the wind industry. An analysis of results is presented showing benefits of the proposed method and its limitations.<\/jats:p>","DOI":"10.3390\/sym13061017","type":"journal-article","created":{"date-parts":[[2021,6,7]],"date-time":"2021-06-07T01:56:40Z","timestamp":1623031000000},"page":"1017","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Vibration Measurement Using Laser Triangulation for Applications in Wind Turbine Blades"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8552-6110","authenticated-orcid":false,"given":"V\u00edctor Iv\u00e1n","family":"Moreno-Oliva","sequence":"first","affiliation":[{"name":"Divisi\u00f3n de Estudios de Posgrado, Universidad del Istmo, 70760 Oaxaca, Mexico"}]},{"given":"Ociel","family":"Flores-Diaz","sequence":"additional","affiliation":[{"name":"CONACYT-Universidad del Istmo, 70760 Oaxaca, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9860-1397","authenticated-orcid":false,"given":"Edwin","family":"Rom\u00e1n-Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Estudios de Posgrado, Universidad del Istmo, 70760 Oaxaca, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2121-9549","authenticated-orcid":false,"given":"Manuel","family":"Campos-Garc\u00eda","sequence":"additional","affiliation":[{"name":"Instituto de Ciencias Aplicadas y Tecnolog\u00eda, Universidad Nacional Aut\u00f3noma de Mexico, Ciudad Universitaria, 04510 Mexico City, Mexico"}]},{"given":"Eduardo","family":"Campos-Mercado","sequence":"additional","affiliation":[{"name":"CONACYT-Universidad del Istmo, 70760 Oaxaca, Mexico"}]},{"given":"Jos\u00e9 Rafael","family":"Dorrego-Portela","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Estudios de Posgrado, Universidad del Istmo, 70760 Oaxaca, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2981-7036","authenticated-orcid":false,"given":"Quetzalcoatl","family":"Hernandez-Escobedo","sequence":"additional","affiliation":[{"name":"Escuela Nacional de Estudios Superiores Unidad Juriquilla, UNAM, 76230 Queretaro, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7161-3141","authenticated-orcid":false,"given":"Jesus Alejandro","family":"Franco","sequence":"additional","affiliation":[{"name":"Escuela Nacional de Estudios Superiores Unidad Juriquilla, UNAM, 76230 Queretaro, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3196-7033","authenticated-orcid":false,"given":"Alberto-Jesus","family":"Perea-Moreno","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica Aplicada, Radiolog\u00eda y Medicina F\u00edsica, Universidad de C\u00f3rdoba, Campus de Rabanales, 14071 C\u00f3rdoba, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2776-089X","authenticated-orcid":false,"given":"Alfredo Alcayde","family":"Garc\u00eda","sequence":"additional","affiliation":[{"name":"Department of Engineering, University of Almer\u00eda, La Ca\u00f1ada de San Urbano, 04120 Almer\u00eda, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,6]]},"reference":[{"key":"ref_1","first-page":"143","article-title":"Enhancement of Static and Dynamic Performance of Composite Tapered Pretwisted Rotating Blade with Variable Stiffness","volume":"143","author":"Farsadi","year":"2020","journal-title":"J. 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