{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T14:33:39Z","timestamp":1773153219197,"version":"3.50.1"},"reference-count":20,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T00:00:00Z","timestamp":1718928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Laboratory on Ship Vibration and Noise","award":["6142204220104"],"award-info":[{"award-number":["6142204220104"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Shafting alignment plays an important role in the marine propulsion system, which affects the safety and stability of ship operation. Air spring vibration isolation systems (ASVISs) for marine shafting can not only reduce mechanical noise but also help control alignment state by actively adjusting air spring pressures. Alignment prediction is the first and a key step in the alignment control of ASVISs. However, in large-scale ASVISs, due to factors such as strong interference and raft deformation, alignment prediction faces problems such as alignment measurement sensors failure and difficulty in establishing a mathematical model. To address this problem, a data model for predicting alignment state is developed based on a back propagation (BP) neural network, fully taking advantage of its self-learning and self-adaption abilities. The proposed model exploits the collected data in the ASVIS instead of the alignment measurement data to calculate the alignment state, providing another alignment prediction approach. Then, in order to solve the local optimum issue of BP neural network, we introduce the genetic algorithm (GA) to optimize the weights and thresholds of the BP neural network, and an improved GA-BP model is designed. The GA-BP model can leverage the advantages of the global search capability of GA as well as the BP neural network\u2019s fast convergence in local search. Finally, we conduct experiments on a real ASVIS and evaluate the prediction models using different criteria. The experimental results show that the proposed prediction model with the GA-BP neural network can accurately predict the alignment state, with a mean-square error (MSE) of 0.0114. And compared to the BP neural network, the GA-BP neural network reduces the MSE by approximately 74%.<\/jats:p>","DOI":"10.3390\/s24134049","type":"journal-article","created":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T08:50:08Z","timestamp":1718959808000},"page":"4049","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Alignment Prediction of Air Spring Vibration Isolation System for Marine Shafting Based on Genetic Algorithm\u2013Back Propagation Neural Network"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6904-5173","authenticated-orcid":false,"given":"Song","family":"Liu","sequence":"first","affiliation":[{"name":"Institute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}]},{"given":"Liang","family":"Shi","sequence":"additional","affiliation":[{"name":"Institute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}]},{"given":"Zhi-Wei","family":"Liu","sequence":"additional","affiliation":[{"name":"Institute of Noise and Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"835","DOI":"10.1080\/00423114.2020.1838566","article-title":"A survey on the modelling of air springs\u2014Secondary suspension in railway vehicles","volume":"60","author":"Berg","year":"2022","journal-title":"Veh. 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