{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T14:26:46Z","timestamp":1767968806827,"version":"3.49.0"},"reference-count":23,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T00:00:00Z","timestamp":1663545600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["1207020431"],"award-info":[{"award-number":["1207020431"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a parameter sensitivity analysis of mounting pedestals and a multi-objective optimization design for vibration reduction in a multi-support rigid body system, taking an aeroengine-lubricating oil tank supported by multiple mounting pedestals as an example, are conducted based on the third version of non-dominated sorting genetic algorithm (NSGA-\u2162) combined with Sobol\u2019s sensitivity analysis method (SSAM). An aeroengine-lubricating oil tank with three mounting pedestals is simplified as a three-support dynamic system, and its dynamics model is established. Several structural parameters of mounting pedestals are taken as the design variables, and the system vibration response and the reaction force of the front and rear mounting pedestals are considered as the objective functions. The first-order results and total sensitivity index of different design parameters for each objective function are obtained via SSAM, and the five most sensitive parameters are selected. Based on the above five design parameters, multi-objective optimization designing for vibration reduction in a simplified lubricating oil tank system is conducted based on NSGA-\u2162, and the results of the above triple-objective optimization are obtained as a Pareto-front surface with an obvious frontier. It can be observed from the simulation results that the oil tank vibration of the optimized system is effectively suppressed under the unbalanced excitation of two typical engine speeds. The established method and the main results can provide guidance for designers of aeroengine external structural systems, which can help to achieve superior system dynamic performances in engineering applications.<\/jats:p>","DOI":"10.3390\/s22187067","type":"journal-article","created":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T04:49:22Z","timestamp":1663562962000},"page":"7067","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Parameter Sensitivity Analysis of Mounting Pedestals and Multi-Objective Optimization for a Multi-Support Rigid Body System"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5879-4163","authenticated-orcid":false,"given":"Qingyu","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China"}]},{"given":"Qingkai","family":"Han","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China"},{"name":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0073-0823","authenticated-orcid":false,"given":"Xiaodong","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5312-5438","authenticated-orcid":false,"given":"Junzhe","family":"Lin","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1080\/00423110802167458","article-title":"Engine mount optimisation for vibration isolation in motorcycles","volume":"47","author":"Kaul","year":"2009","journal-title":"Veh. Syst. Dyn."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.2514\/1.12036","article-title":"Vibration isolator for large space telescopes","volume":"43","author":"Bronowicki","year":"2006","journal-title":"J. Spacecr. Rockets"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Chu, X.Y., Xu, H.H., Shao, G.F., and Zheng, W.F. (2016, January 1\u20133). Multi-objective topology optimization for industrial robot. Proceedings of the International Conference on Information and Automation, Ningbo, China.","DOI":"10.1109\/ICInfA.2016.7832132"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"589","DOI":"10.1177\/0954410011411632","article-title":"Topology optimization of aeronautical structures with stress constraints: General methodology and applications","volume":"226","author":"Navarrina","year":"2012","journal-title":"Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"577","DOI":"10.21595\/jve.2016.16963","article-title":"The structure optimization for nonlinear vibration reduction system of the tracked ambulance","volume":"19","author":"Yang","year":"2017","journal-title":"J. Vibroeng."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"149","DOI":"10.5957\/jsr.2011.55.3.149","article-title":"Reduction of hull-radiated noise using vibroacoustic optimization of the propulsion system","volume":"55","author":"Caresta","year":"2011","journal-title":"J. Ship Res."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00158-013-0956-z","article-title":"A survey of structural and multidisciplinary continuum topology optimization: Post 2000","volume":"49","author":"Deaton","year":"2014","journal-title":"Struct. Multidiscip. Optim."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/S0045-7949(99)00055-3","article-title":"Unified topology design of static and vibrating structure using multi-objective optimization","volume":"75","author":"Min","year":"2000","journal-title":"Comput. Struct."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"831","DOI":"10.21595\/jve.2016.17517","article-title":"Multi-objective topology optimization to reduce vibration of micro-satellite primary supporting structure","volume":"19","author":"Tan","year":"2017","journal-title":"J. Vibroeng."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Kapania, R., Li, J., and Kapoor, H. (2005, January 26\u201328). Optimal design of unitized panels with curvilinear stiffeners. Proceedings of the AIAA 5th ATIO and 16th Lighter-Than-Air and Balloon Systems Conferences, Arlington, VA, USA.","DOI":"10.2514\/6.2005-7482"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"107872","DOI":"10.1016\/j.ymssp.2021.107872","article-title":"Multi-objective optimal design of periodically stiffened panels for vibration control using data-driven optimization method","volume":"160","author":"He","year":"2021","journal-title":"Mech. Syst. Signal Proc."},{"key":"ref_12","first-page":"112","article-title":"On sensitivity estimation for nonlinear mathematical models","volume":"2","year":"1990","journal-title":"Matem. Mod."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/S0378-4754(00)00270-6","article-title":"Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates","volume":"55","year":"2001","journal-title":"Math. Comput. Simul."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1875","DOI":"10.1177\/0954410013499705","article-title":"Importance analysis for models with dependent input variables by sparse grids","volume":"228","author":"Li","year":"2014","journal-title":"Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1109\/TR.2019.2919540","article-title":"A moment approach to positioning accuracy reliability analysis for industrial robots","volume":"69","author":"Wu","year":"2019","journal-title":"IEEE Trans. Reliab."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"107732","DOI":"10.1016\/j.ymssp.2021.107732","article-title":"Parameter sensitivity and dynamic characteristic analysis of bulb hydro generating unit with shaft crack fault","volume":"158","author":"Yan","year":"2021","journal-title":"Mech. Syst. Signal Proc."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","article-title":"A fast elitist multi-objective genetic algorithm: NSGA-II","volume":"6","author":"Deb","year":"2002","journal-title":"IEEE Trans. Evol. Computat."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"6286","DOI":"10.1109\/ACCESS.2018.2789361","article-title":"A pipe routing method considering vibration for aero-engine using kriging model and NSGA-II","volume":"6","author":"Liu","year":"2018","journal-title":"IEEE Access"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.1007\/s12206-015-0215-x","article-title":"Multi-objective optimization of the vehicle ride comfort based on Kriging approximate model and NSGA-II","volume":"29","author":"Chen","year":"2015","journal-title":"J. Mech. Sci. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.epsr.2013.10.021","article-title":"Dynamic modeling and optimal control of DFIG wind energy systems using DFT and NSGA-II","volume":"108","author":"Zamanifar","year":"2014","journal-title":"Electr. Power Syst Res."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1887","DOI":"10.1177\/0954410017704217","article-title":"Optimal design and experiment of propellers for high altitude airship","volume":"232","author":"Jiao","year":"2018","journal-title":"Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1016\/j.ins.2018.10.005","article-title":"Behavior of crossover operators in NSGA-III for large-scale optimization problems","volume":"509","author":"Yi","year":"2020","journal-title":"Inf. Sci."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Tarlani Beris, A., and Bahrami, A. (2022). Dynamic analysis of a high-speed rotor supported by optimized bearings at steady and transient operating conditions. J. Vib. Eng. Technol., 1\u201311.","DOI":"10.1007\/s42417-022-00631-8"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/18\/7067\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:34:08Z","timestamp":1760142848000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/18\/7067"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,19]]},"references-count":23,"journal-issue":{"issue":"18","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["s22187067"],"URL":"https:\/\/doi.org\/10.3390\/s22187067","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,19]]}}}