The analytical solution of the modeling and vibration characteristics of elastic propeller-shaft

PDF(1806 KB)

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (8) : 208-214.

KANG Wei1,2,ZHANG Zhenguo1,2,CHEN Yong1,2

Author information +

History +

Abstract

Abstract:In order to consider the influence of the propeller elasticity on vibration characteristics of a propeller-shafting system, an analytical solution was developed based on the Timoshenko theory.The propeller blades and shaft were all modeled by a Timoshenko beam.According to the continuous condition of joint and boundary condition, the control equation of the transverse and longitudinal free vibration of system was deduced.Contrasted the solution of a finite-element model and the analytical solution, they were in good agreement.The effect of propeller elasticity on the mode and force transmission characteristics of the system was explored.The results show that the deformation of both the blades and shafting of the true elastic propeller-shafting system can be seen and their vibration is coupled.The bending mode of blades can aggravate the vibration of shafting.The longitudinal force transmitted by bearing was amplified by the bending mode of propeller and longitudinal mode of shafting, while the transverse force was mainly controlled by bending modes of propeller and shafting under the excitation at the blade.

Key words

elasticity / propeller-shafting / vibration characteristics / Timoshenko beam / analytical solution

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

KANG Wei1,2,ZHANG Zhenguo1,2,CHEN Yong1,2. The analytical solution of the modeling and vibration characteristics of elastic propeller-shaft[J]. Journal of Vibration and Shock, 2020, 39(8): 208-214

References

[1] ROSS D. Mechanics of Underwater Noise [M]. Los Altos: Penninsula Publishing, 1987. [2] BLAKE W K, MAGA L J. On the flow-excited vibrations of cantilever struts in water. II. Surface-pressure fluctuations and analytical predictions [J]. Journal of the Acoustical Society of America, 1975, 57(6): 1448-1464. [3] JIANG C W, CHANG M S, LIU Y N. The effect of turbulence ingestion on propeller broadband thrust [R]. No. DTRC/SHD-1355-02, David Taylor Naval Ship Research and Development Center, 1991. [4] SEVIK M M. The response of a propulsor to random velocity fluctuations [R]. No. N00017-70-C-1407-2, Pennsylvania State University Park Ordnance Research Lab, 1970. [5] ZOU D, LIU L, RAO Z, et al. Coupled longitudinal–transverse dynamics of a marine propulsion shafting under primary and internal resonances [J]. Journal of Sound Vibration, 2016, 372: 299-316. [6] QU Y, SU J, HUA H, et al. Structural vibration and acoustic radiation of coupled propeller-shafting and submarine hull system due to propeller forces [J]. Journal of Sound Vibration, 2017, 401: 76-93. [7] HUANG X, NI Z, ZHANG Z, et al. Stiffness optimization of marine propulsion shafting system by FRF-based substructuring method and sensitivity analysis [J]. Ocean Engineering, 2017, 144: 243-256. [8] DYLEJKO P, KESSISSOGLOU N. Minimization of the vibration transmission through the propeller-shafting system in a submarine [J]. Journal of the Acoustical Society of America, 2004, 116(4): 2569. [9] YANG Z, QIN C, RAO Z, et al. Design and analyses of axial semi-active dynamic vibration absorbers based on magnetorheological elastomers [J]. Journal of Intelligent Material Systems Structures, 2014, 25(17): 2199-2207. [10] ZHANG Z, RUSTIGHI E, CHEN Y, et al. Active Control of the Longitudinal-Lateral Vibration of a Shaft-Plate Coupled System [J]. Journal of Vibration Acoustics, 2012, 134(6): 061002. [11] CHEN Y, WANG L, HUA H X. Longitudinal vibration of marine propeller-shafting system induced by inflow turbulence [J]. Journal of Fluids Structures, 2017, 68: 264-278. [12] SINGIRESU, S.RAO. 机械振动（第4版） [M]. 清华大学出版社, 2009. [13] TIMOSHENKO S, YOUNG D. Vibration Problems in Engineering [M]. Van Nostrana, 1955. [14] ZHANG Z, CHEN F, ZHANG Z, et al. Vibration analysis of non-uniform Timoshenko beams coupled with flexible attachments and multiple discontinuities [J]. International Journal of Mechanical Sciences, 2014, 80: 131-143. [15] WU J S, CHANG B H. Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method [J]. European Journal of Mechanics,A/Solids, 2013, 38(3): 20-37. [16] 张赣波, 赵耀. 船舶主推进轴系纵向振动的弹性波解析研究 [J]. 中国造船, 2012(3): 140-150. ZHANG Gan-bo, ZHAO Yao. Elastic wave analysis on longitudinal vibration of marine propulsion shafting [J]. Shipbuilding of China, 2012(3): 140-150.