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Inftech."],"published-print":{"date-parts":[[2023,4]]},"abstract":"Abstract<\/jats:title>\n \n The vibration and acoustic behavior of electric machines is an important aspect of the design process. A\u00a0crucial part of the modeling is the correct prediction of the stator\u2019s vibration behavior, characterized by the stator\u2019s eigenfrequencies and eigenmodes. For this purpose, a\u00a0calculation approach called the analytical beam element model (ABM) was presented in a\u00a0previous paper [18], where\n Euler<\/jats:italic>\n \u2013\n Bernoulli<\/jats:italic>\n beams were used to describe the vibration behavior of the stator. The ABM introduced offers an alternative to the finite element (FE) method and to classical analytical models. In this paper, the model is examined and extended further. Different approaches conceived to better describe the influence of the stator yoke\u2019s thickness by using Timoshenko beams and a\u00a0multi-layer discretization are presented and discussed. Furthermore, a\u00a0new feature that considers the lever arm effect of the stator teeth with respect to the yoke is introduced. The results are compared to FE calculations and measurements. Lastly, the improved ABM is used to calculate the vibration behavior of four stators with outer diameters ranging from\n \n \n $$160\\,\\text{mm}$$<\/jats:tex-math>\n \n \n 160<\/mml:mn>\n \n mm<\/mml:mtext>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n to\n \n \n $$7\\,\\text{m}$$<\/jats:tex-math>\n \n \n 7<\/mml:mn>\n \n m<\/mml:mtext>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n . The results are compared to FE results to prove the accuracy of the ABM.\n <\/jats:p>","DOI":"10.1007\/s00502-023-01125-5","type":"journal-article","created":{"date-parts":[[2023,3,16]],"date-time":"2023-03-16T10:02:46Z","timestamp":1678960966000},"page":"290-301","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The analytical beam element model: novel approach for fast calculation of vibrations in electric machines","Das Analytische Balkenelement-Modell: ein neuer Ansatz zur Berechnung des Schwingungsverhaltens elektrischer Maschinen"],"prefix":"10.1007","volume":"140","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6932-8480","authenticated-orcid":false,"given":"Martin Enno","family":"Gerlach","sequence":"first","affiliation":[]},{"given":"Allan","family":"de Barros","sequence":"additional","affiliation":[]},{"given":"Xudong","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Markus","family":"Langfermann","sequence":"additional","affiliation":[]},{"given":"Bernd","family":"Ponick","sequence":"additional","affiliation":[]},{"given":"Amir","family":"Ebrahimi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,3,16]]},"reference":[{"key":"1125_CR1","volume-title":"Der ger\u00e4uscharme Elektromotor","author":"H Jordan","year":"1950","unstructured":"Jordan\u00a0H (1950) Der ger\u00e4uscharme Elektromotor. 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