{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T11:42:41Z","timestamp":1775475761007,"version":"3.50.1"},"reference-count":31,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2021,7,10]],"date-time":"2021-07-10T00:00:00Z","timestamp":1625875200000},"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>In order to improve the alignment stability of the air vibration isolation device of a high-powered main engine, we established a mechanical model for the air vibration isolation system and analyzed the alignment deviation of the device and the vibration decoupling conditions of the system. Additionally, an optimized design method for the dual-direction support of the air vibration isolators positioned symmetrically on the main engine was proposed. The resultant design showed that when compared to the conventional inclined support of air springs for the main engines onboard ships, the dual-direction support design proposed in this paper for air vibration isolation could eliminate the adverse effect of the output torque reaction on the alignment of the main engine and decouple the system to reduce the number of peaks in the frequency response of vertical force transmission. The optimized design could effectively improve the alignment performance of the device for tilted or swinging operating conditions and maintain the good alignment stability of the device when a single vertical support air spring fails. A single vertical support air spring failure mainly affects the stability of the main engine under the reaction of the output torque, especially the air springs arranged in the corner, while the air springs arranged in the middle have no effect. The optimized design could also improve the vibration isolation performance. This is important for the design of air spring vibration isolation devices for high power density main engines.<\/jats:p>","DOI":"10.3390\/sym13071244","type":"journal-article","created":{"date-parts":[[2021,7,11]],"date-time":"2021-07-11T22:16:48Z","timestamp":1626041808000},"page":"1244","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Stability Design of Air Vibration Isolation Device for a High Power Density Main Engine"],"prefix":"10.3390","volume":"13","author":[{"given":"Jingmin","family":"Zhao","sequence":"first","affiliation":[{"name":"Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenjun","family":"Bu","sequence":"additional","affiliation":[{"name":"Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Shi","sequence":"additional","affiliation":[{"name":"Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zechao","family":"Hu","sequence":"additional","affiliation":[{"name":"Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, China"},{"name":"National Key Laboratory on Ship Vibration & Noise, Wuhan 430033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,10]]},"reference":[{"key":"ref_1","unstructured":"Xu, W. (2004). Research on Heavy-Load Air Vibration Isolation Technology. [Ph.D. Thesis, Naval University of Engineering]."},{"key":"ref_2","unstructured":"Zhang, Y.H. (1980). Springs, China Machine Press."},{"key":"ref_3","unstructured":"Zhu, S.J., and He, L. (2002). Ship Vibration- and Noise-Reduction Technology and Engineering Design, Science Press."},{"key":"ref_4","first-page":"22","article-title":"Stiffness calculation of rectangular air spring","volume":"4","author":"Lou","year":"2001","journal-title":"Noise Vib. Control"},{"key":"ref_5","first-page":"64","article-title":"Single-bagged air spring\u2019s parameter calculation","volume":"13","author":"Lou","year":"2001","journal-title":"J. Naval Univ. Eng."},{"key":"ref_6","unstructured":"Wei, X., Lin, H., Geng, S.C., and Xia, Y.Z. (2005). Stiffness calculation and dynamic simulation of air spring. ASME International Design Engineering Technical Conferences and Computers and Information in Engineering, Proceedings of the Conferences\u2014DETC2005: 20th Biennial Conference on Mechanical Vibration and Noise, Long Beach, CA, USA, 25\u201328 September 2005, The American Society of Mechanical Engineers (ASME)."},{"key":"ref_7","first-page":"89","article-title":"Study of pneumatic vibration isolator of type JYQN","volume":"28","author":"Zhao","year":"2006","journal-title":"Ship Sci. Technol."},{"key":"ref_8","unstructured":"Bu, W.J. (2010). Alignment Monitoring and Control of Air Vibration Isolation Technology for Ship Propulsion Main Engine. [Ph.D. Thesis, Naval University of Engineering]."},{"key":"ref_9","unstructured":"Xu, W. (2010). Theoretical and Experimental Studies of Air Vibration Isolation Technology for Ship Propulsion Main Engine. [Ph.D. Thesis, Naval University of Engineering]."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"4912","DOI":"10.1016\/j.jsv.2014.05.045","article-title":"Dynamic analysis and design of air spring mounting system for marine propulsion system","volume":"333","author":"He","year":"2014","journal-title":"J. Sound Vib."},{"key":"ref_11","first-page":"122","article-title":"Dynamic analysis of an air spring mounting system for marine main engine","volume":"26","author":"Xu","year":"2007","journal-title":"J. Vib. Shock"},{"key":"ref_12","unstructured":"Sun, J.Q. (2008). Parameter Optimization of Air Spring Vibration Isolation System Ship Main engine in Static Stability. [Ph.D. Thesis, Xi\u2019an University of Science and Technology]."},{"key":"ref_13","unstructured":"Crede Charles, E. (1951). Vibration and Shock Isolation, John Wiley & Sons Inc."},{"key":"ref_14","unstructured":"Yan, J.K. (1986). Machine Vibration Isolation Technology, Shanghai Scientific and Technical Publishers."},{"key":"ref_15","first-page":"8","article-title":"Optimal Design of Inclined Vibration Isolation System","volume":"2","author":"Wang","year":"1992","journal-title":"Noise Vib. Control"},{"key":"ref_16","first-page":"72","article-title":"Study on coupled vibration characteristics of inclined isolation system","volume":"34","author":"Chen","year":"2014","journal-title":"Noise Vib. Control"},{"key":"ref_17","first-page":"201","article-title":"Impact of main engine vibration isolation on marine propulsion shafting transverse vibration under lateral rolling","volume":"35","author":"Li","year":"2016","journal-title":"J. Vib. Shock"},{"key":"ref_18","unstructured":"Pettersen, J.W.E., and Storm, J.F. (1975). Noise Control in Ships, Norwegian Council for Technical and Scientific Research. NTNF Report B.0930.4502.1."},{"key":"ref_19","first-page":"31","article-title":"On design of vibration-isolating system for high-power-density propulsion motor","volume":"31","author":"Zhao","year":"2019","journal-title":"J. Naval Univ. Eng."},{"key":"ref_20","first-page":"97","article-title":"Main engine air suspension system alignment control algorithm","volume":"29","author":"Shi","year":"2010","journal-title":"J. Vib. Shock"},{"key":"ref_21","first-page":"56","article-title":"Alignment controllability of air spring vibration isolation system of a ship propulsion plant","volume":"34","author":"Bu","year":"2015","journal-title":"J. Vib. Shock"},{"key":"ref_22","first-page":"174","article-title":"Attitude control of statically indeterminate and multivariable coupling air spring vibration isolation system based on fuzzy controller","volume":"26","author":"Bu","year":"2007","journal-title":"J. Vib. Shock"},{"key":"ref_23","first-page":"6","article-title":"Alignment disturbance control of an air-suspended main engine","volume":"30","author":"Xu","year":"2011","journal-title":"J. Vib. Shock"},{"key":"ref_24","unstructured":"Harris, C.M., and Piersol, A.G. (2002). Shock and Vibration Handbook, McGraw-Hill. [5th ed.]."},{"key":"ref_25","unstructured":"Zhu, S.J. (2006). Vibration Theory and Vibration Isolation, National Defense Industry Press."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Zhang, Y., Xu, W., Li, Z., and Yin, L. (2020). Alignment and safety analysis of marine propulsion shafting using intelligent floating raft system. J. Mar. Sci. Technol., prepublish.","DOI":"10.1007\/s00773-020-00738-1"},{"key":"ref_27","unstructured":"Sun, J.M. (2004). Mechanical Optimization Design, China Machine Press."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"107969","DOI":"10.1016\/j.apacoust.2021.107969","article-title":"Teaching-learning-based optimization of an ultra-broadband parallel sound absorber","volume":"178","author":"Gao","year":"2021","journal-title":"Appl. Acoust."},{"key":"ref_29","first-page":"51","article-title":"On design of shock resistance of air spring vibration- isolating system for propulsion","volume":"31","author":"Hu","year":"2019","journal-title":"J. Naval Univ. Eng."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"107694","DOI":"10.1016\/j.apacoust.2020.107694","article-title":"Elastic Wave Modulation of Double-leaf ABH Beam Embedded Mass Oscillator","volume":"173","author":"Gao","year":"2021","journal-title":"Appl. Acoust."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1006\/jsvi.2000.2945","article-title":"Design optimization of marine engine-mount system","volume":"235","author":"Tao","year":"2000","journal-title":"J. Sound Vib."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/7\/1244\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:28:51Z","timestamp":1760164131000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/7\/1244"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,10]]},"references-count":31,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2021,7]]}},"alternative-id":["sym13071244"],"URL":"https:\/\/doi.org\/10.3390\/sym13071244","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,10]]}}}