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Mechanics Based Design of Structures and Machines
An International Journal
Volume 48, 2020 - Issue 2
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Articles

Determination method of scaling laws based on least square method and applied to rectangular thin plates and rotor-bearing systems

Wen Di ZhangSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, People’s Republic of China; ;Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang, Liaoning, ChinaORCID Iconhttp://orcid.org/0000-0002-7587-2343View further author information
ORCID Icon,
Zhong LuoSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, People’s Republic of China; ;Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang, Liaoning, ChinaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-0701-6123View further author information
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Xiao Biao GeSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, People’s Republic of China; ;Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang, Liaoning, ChinaView further author information
,
Yong Qiang ZhangSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, People’s Republic of China; ;Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang, Liaoning, ChinaView further author information
&
Si Wei GuoSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, People’s Republic of China; ;Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang, Liaoning, ChinaView further author information
Pages 241-265 | Received 30 Nov 2018, Accepted 21 Aug 2019, Published online: 26 Sep 2019

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Shao-Pu Yang, Xue-Qian Fang & Chang-Song Zhu. (2023) Nonlinear dynamic analysis of worn gas foil bearings. Mechanics Based Design of Structures and Machines 51:6, pages 3564-3582.
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Yann Sousseau, Myriam Chaplain, Sidi Mohammed Elachachi, Thomas Catterou, Carole Faye & Patrice Garcia. (2023) Timber connection behaviour characterisation based on similitude laws. European Journal of Environmental and Civil Engineering 0:0, pages 1-21.
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Hongchuan Cheng, Yimin Zhang, Wenjia Lu & Zhou Yang. (2023) Effect of boundary position and defect shape on the mechanical properties of ball bearings. Mechanics Based Design of Structures and Machines 51:3, pages 1645-1665.
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Fanjie Li, Xiaopeng Li, Baitao Li, Hui Ma & Bangchun Wen. (2022) Nonlinear dynamic modeling and vibration analysis of bearing system considering shaft current damage. Mechanics Based Design of Structures and Machines 0:0, pages 1-21.
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Xue-Qian Fang, Yao Ning & Shao-Pu Yang. (2022) Thin film profile and interfacial temperature of worn bearings based on mixed thermal-elastohydrodynamic lubrication. Mechanics Based Design of Structures and Machines 50:12, pages 4186-4207.
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Sanaz Rezaee & Ali Amin Yazdi. (2022) Similarity conditions for predicting the effect of carbon nano-tubes on the non-linear frequency of laminated doubly curved shells. Structures 46, pages 1618-1625.
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Pengtao Liu, Xiaopeng Wang, Yongquan Wang & Feiran Mao. (2022) Research on coupling distorted similitude method of coupled cylindrical–conical shells. Thin-Walled Structures 179, pages 109734.
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Fiorella Tavasso, Alessandro Casaburo, Giuseppe Petrone, Francesco Franco & Sergio De Rosa. (2022) A Linear Transformation for the Reconstruction of the Responses of Systems in Similitude. Aerotecnica Missili & Spazio 101:2, pages 185-193.
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Lei Li, Zhong Luo, Yuqi Li, Fengxia He, Xiang Li & Xiaolu Yan. (2022) Structural similitude for a scaled rotor system considering stiffness characteristics of bolted joints. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236:10, pages 5192-5207.
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Wen Di Zhang, Zhong Luo, Si Wei Guo & Hong Guang Li. (2022) An improved least square similitude method based on Lagrange energy for estimating scaling laws and eliminating coupling effects. Thin-Walled Structures 174, pages 109018.
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Wendi Zhang, Zhong Luo, Yuqi Li & Yunpeng Zhu. (2020) A novel method to determine the coupling scaling laws of vibration characteristics for rotor-bearing systems. Journal of Vibration and Control 27:21-22, pages 2630-2641.
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Lei Li, Zhong Luo, Fengxia He, Zhe Ding & Kai Sun. (2021) A partial similitude method for vibration responses of rotor systems: Numerical and experimental verification. International Journal of Mechanical Sciences 208, pages 106696.
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Zhong Luo, Lei Li, Fengxia He & Xiaolu Yan. (2021) Partial similitude for dynamic characteristics of rotor systems considering gravitational acceleration. Mechanism and Machine Theory 156, pages 104142.
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Fengxia He, Zhong Luo, Lei Li & Yongqiang Zhang. (2020) A similitude for the middle-frequency vibration response of satellite solar array based on the wave coupling hybrid finite element–statistical energy analysis method. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234:18, pages 3560-3570.
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