Articles | Volume 12, issue 2
https://doi.org/10.5194/ms-12-701-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/ms-12-701-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Semi-numerical analysis of a two-stage series composite planetary transmission considering incremental harmonic balance and multi-scale perturbation methods
School of Engineering Technology, Northeast Forestry University, No.
26, Hexing Road, Xiangfang District, Heilongjiang Province, Harbin, 150040,
P. R. China
Siyuan An
School of Engineering Technology, Northeast Forestry University, No.
26, Hexing Road, Xiangfang District, Heilongjiang Province, Harbin, 150040,
P. R. China
Yongmei Wang
CORRESPONDING AUTHOR
School of Motorcar Engineering, Heilongjiang Institute of Technology,
No. 999, Hongqidajie Road, Daowai District, Heilongjiang Province, Harbin,
150036, P. R. China
Jiafu Ruan
School of Engineering Technology, Northeast Forestry University, No.
26, Hexing Road, Xiangfang District, Heilongjiang Province, Harbin, 150040,
P. R. China
Baixue Fu
School of Motorcar Engineering, Heilongjiang Institute of Technology,
No. 999, Hongqidajie Road, Daowai District, Heilongjiang Province, Harbin,
150036, P. R. China
Related authors
Jiafu Ruan, Xigui Wang, Yongmei Wang, and Weiqiang Zou
Mech. Sci., 16, 515–531, https://doi.org/10.5194/ms-16-515-2025, https://doi.org/10.5194/ms-16-515-2025, 2025
Short summary
Short summary
A thermoelastic hydrodynamic lubrication (TEHL) model with interface micro-texture (IMT) evaluates load-bearing capacity. The model characterises the textured interface with micro-convex peaks (MCPs) by introducing an equivalent scale factor and an optimised distribution density function. A mathematical framework quantifies anti-scuffing load-bearing capacity (ASLBC) under steady-state TEHL, revealing coupled stiffness–damping in a micro-textured meshing interface (MTMI) under dynamic loading.
Guiying Wang, Xigui Wang, Yongmei Wang, and Baixue Fu
Mech. Sci., 12, 735–749, https://doi.org/10.5194/ms-12-735-2021, https://doi.org/10.5194/ms-12-735-2021, 2021
Short summary
Short summary
An electrohydraulic servo four-legged heavy-duty (FLHD) robot has been designed and developed. An integration layout cylinder design scheme for a non-lightweight hydraulic servo four-legged robot with high loads and torque of the hip joint is proposed, and the mathematical element analysis model for a parallel-executed cylinder (PEC) system is derived. A design idea of a force–position hybrid control scheme is determined for the PEC.
Lihong Jin, Junpeng Shao, Xigui Wang, Yongmei Wang, and Baixue Fu
Mech. Sci., 12, 539–557, https://doi.org/10.5194/ms-12-539-2021, https://doi.org/10.5194/ms-12-539-2021, 2021
Short summary
Short summary
This study performs an analytical study of the modal and natural frequencies and the vibration types of each order of the gearbox housing structure of a planetary gear reducer (PGR). An optimal housing structure for a PGR with lower acoustic vibrations is designed, and a composite housing structure with damping vibration attenuation and acoustic absorption is proposed. The radiation acoustic characteristics without acoustic protection and damping materials are analyzed.
Jiafu Ruan, Xigui Wang, Yongmei Wang, and Weiqiang Zou
Mech. Sci., 16, 515–531, https://doi.org/10.5194/ms-16-515-2025, https://doi.org/10.5194/ms-16-515-2025, 2025
Short summary
Short summary
A thermoelastic hydrodynamic lubrication (TEHL) model with interface micro-texture (IMT) evaluates load-bearing capacity. The model characterises the textured interface with micro-convex peaks (MCPs) by introducing an equivalent scale factor and an optimised distribution density function. A mathematical framework quantifies anti-scuffing load-bearing capacity (ASLBC) under steady-state TEHL, revealing coupled stiffness–damping in a micro-textured meshing interface (MTMI) under dynamic loading.
Guiying Wang, Xigui Wang, Yongmei Wang, and Baixue Fu
Mech. Sci., 12, 735–749, https://doi.org/10.5194/ms-12-735-2021, https://doi.org/10.5194/ms-12-735-2021, 2021
Short summary
Short summary
An electrohydraulic servo four-legged heavy-duty (FLHD) robot has been designed and developed. An integration layout cylinder design scheme for a non-lightweight hydraulic servo four-legged robot with high loads and torque of the hip joint is proposed, and the mathematical element analysis model for a parallel-executed cylinder (PEC) system is derived. A design idea of a force–position hybrid control scheme is determined for the PEC.
Lihong Jin, Junpeng Shao, Xigui Wang, Yongmei Wang, and Baixue Fu
Mech. Sci., 12, 539–557, https://doi.org/10.5194/ms-12-539-2021, https://doi.org/10.5194/ms-12-539-2021, 2021
Short summary
Short summary
This study performs an analytical study of the modal and natural frequencies and the vibration types of each order of the gearbox housing structure of a planetary gear reducer (PGR). An optimal housing structure for a PGR with lower acoustic vibrations is designed, and a composite housing structure with damping vibration attenuation and acoustic absorption is proposed. The radiation acoustic characteristics without acoustic protection and damping materials are analyzed.
Cited articles
Acri, A., Nijman, E., Conrado, E., and Offner, G.: Experimental
structure-borne energy flow contribution analysis for vibro-acoustic source
ranking, Mech. Syst. Signal Pr., 115, 753–768, https://doi.org/10.1016/j.ymssp.2018.06.050, 2019.
Arasan, U., Marchetti, F., Chevillotte, F., Tanner, G., Chronopoulos, D.,
and Gourdon, E.: On the accuracy limits of plate theories for vibro-acoustic
predictions, J. Sound Vib., 493, 115848, https://doi.org/10.1016/j.jsv.2020.115848, 2021.
Bi, S. F., Ouisse, M., Foltête, E., and Jund, A.: Virtual decoupling of
vibroacoustical systems, J. Sound Vib., 401, 169–189,
https://doi.org/10.1016/j.jsv.2017.04.040, 2017.
Chen, Z., Chan, T. H. T., Nguyen, A., and Yu, L.: Identification of vehicle
axle loads from bridge responses using preconditioned least square
QR-factorization algorithm, Mech. Syst. Signal Pr., 128,
479–496, https://doi.org/10.1016/j.ymssp.2019.03.043, 2019.
Dai, H., Long, X. H., Chen, F., and Bian, J.: Experimental investigation of
the ring-planet gear meshing forces identification, J. Sound
Vib., 493, 115844, https://doi.org/10.1016/j.jsv.2020.115844, 2021.
Daneshjou, K., Talebitooti, R., and Kornokar, M.: Vibroacoustic study on a
multilayered functionally graded cylindrical shell with poroelastic core and
bonded-unbonded configuration, J. Sound Vib., 393, 157–175,
https://doi.org/10.1016/j.jsv.2017.01.001, 2017.
Ege, K., Roozen, N. B., Leclère, Q., and Rinaldi, R. G.: Assessment of
the apparent bending stiffness and damping of multilayer plates; modelling
and experiment, J. Sound Vib., 426, 129–149, https://doi.org/10.1016/j.jsv.2018.04.013, 2018.
Feng, Z. P. and Zuo, M. J.: Vibration signal models for fault diagnosis of
planetary gearboxes, J. Sound Vib., 331, 4919–4939,
https://doi.org/10.1016/j.jsv.2012.05.039, 2012.
Garambois, P., Donnard, G., Rigaud, E., and Perret-Liaudet, J.: Multiphysics
coupling between periodic gear mesh excitation and input/output fluctuating
torques: Application to a roots vacuum pump, J. Sound Vib.,
405, 158–174, https://doi.org/10.1016/j.jsv.2017.05.043, 2019.
Guo, Y., Eritenel, T., Ericson, T. M., and Parker, R. G.: Vibro-acoustic
propagation of gear dynamics in a gear-bearing-housing system, J.
Sound Vib., 333, 5762–5785, https://doi.org/10.1016/j.jsv.2014.05.055, 2014.
He, G. L., Ding, K., Li, W. H., and Li, Y. Z.: Frequency response model and
mechanism for wind turbine planetary gear train vibration analysis, IET
Renew. Power Gen., 11, 425–432, https://doi.org/10.1049/iet-rpg.2016.0236, 2017.
Hotait, M. A. and Kahraman, A.: Experiments on the relationship between the
dynamic transmission error and the dynamic stress factor of spur gear pairs,
Mech. Mach. Theory, 70, 116–128,
https://doi.org/10.1016/j.mechmachtheory.2013.07.006, 2013.
Hu, W. G., Liu, Z. M., Liu, D. K., and Hai, X.: Fatigue failure analysis of
high speed train gearbox housings, Eng. Fail. Anal., 73, 57–71,
https://doi.org/10.1016/j.engfailanal.2016.12.008, 2017.
Inalpolat, M. and Kahraman, A.: A theoretical and experimental investigation
of modulation sidebands of planetary gear sets, J. Sound
Vib., 323, 677–696,
https://doi.org/10.1016/j.jsv.2009.01.004, 2009.
Kosała, K.: Calculation models for analysing the sound insulating
properties of homogeneous single baffles used in vibroacoustic protection,
Appl. Acoust., 146, 108–117,
https://doi.org/10.1016/j.apacoust.2018.11.012, 2019.
Li, Y. Z., Ding, K., He, G. L., and Yang, X. Q.: Vibration modulation
sidebands mechanisms of equally-spaced planetary gear train with a floating
sun gear, Mech. Syst. Signal Pr., 129, 70–90, https://doi.org/10.1016/j.ymssp.2019.04.026, 2019.
Liang, X., Zuo, M. J., and Feng, Z.: Dynamic modeling of gearbox faults: A
review, Mech. Syst. Signal Pr., 98, 852–876, https://doi.org/10.1016/j.ymssp.2017.05.024, 2018.
Lin, T. L. and Zhang, K.: An analytical study of the free and forced
vibration response of a ribbed plate with free boundary conditions, J. Sound Vib., 422, 15–33,
https://doi.org/10.1016/j.jsv.2018.02.020, 2018.
Marchetti, F., Ege, K., Leclère, Q., and Roozen, N. B.: On the
structural dynamics of laminated composite plates and sandwich structures; a
new perspective on damping identification, J. Sound Vib.n,
474, 115256, https://doi.org/10.1016/j.jsv.2020.115256, 2020.
Morgado, T. L. M., Branco, C. M., and Infante, V.: A failure study of
housing of the gearboxes of series 2600 locomotives of the Portuguese
Railway Company, Eng. Fail. Anal., 15, 154–164, https://doi.org/10.1016/j.engfailanal.2006.11.052, 2008.
Pan, C. D., Yu, L., Liu, H. L., Chen, Z. P., and Luo, W. F.: Moving force
identification based on redundant concatenated dictionary and weighted
l1-norm regularization, Mech. Syst. Signal Pr., 98,
32–49, https://doi.org/10.1016/j.ymssp.2017.04.032, 2018.
Rohan, E. and Lukeš, V.: Homogenization of the vibro–acoustic
transmission on perforated plates, Appl. Math. Comput., 361,
821–845, https://doi.org/10.1016/j.amc.2019.06.005, 2019.
Rosa, S. D., Desmet, W., Ichchou, M., Ouisse, M., and Scarpa, F.:
Vibroacoustics of periodic media: Multi-scale modelling and design of
structures with improved vibroacoustic performance, Mech. Syst.
Signal Pr., 142, 106870, https://doi.org/10.1016/j.ymssp.2020.106870, 2020.
Sakaridis, E., Spitas, V., and Spitas, C.: Non-linear modeling of gear drive
dynamics incorporating intermittent tooth contact analysis and tooth
eigenvibrations, Mech. Mach. Theory, 136, 307–333, https://doi.org/10.1016/j.mechmachtheory.2019.03.012, 2019.
Sánchez, M. B., Pleguezuelos, M., and Pedrero, J. I.: Approximate
equations for the meshing stiffness and the load sharing ratio of spur gears
including hertzian effects, Mech. Mach. Theory, 109, 231–249,
https://doi.org/10.1016/j.mechmachtheory.2016.11.014, 2017.
Suslin, A. and Pilla, C.: Study of Loading in Point-involute Gears, Procedia
Engineer., 176, 12–18, https://doi.org/10.1016/j.proeng.2017.02.267, 2017.
Tittus, P. and Diaz, P. M.: Horizontal axis wind turbine modelling and data
analysis by multilinear regression, Mech. Sci., 11, 447–464, https://doi.org/10.5194/ms-11-447-2020, 2020.
Tomilina, T. M.: New Approaches to Design of Structures with Required
Vibroacoustic Properties, Procedia Engineer., 106, 350–353, https://doi.org/10.1016/j.proeng.2015.06.044, 2015.
Wang, Q. B., Zhao, B, Fu, Y., Kong, X. G., and Ma, H.: An improved
time-varying mesh stiffness model for helical gear pairs considering axial
mesh force component, Mech. Syst. Signal Pr., 106,
413–429, https://doi.org/10.1016/j.ymssp.2018.01.012, 2018.
Weis, P., Kučera, Pecháč, P., and Močilan, M.: Modal
Analysis of Gearbox Housing with Applied Load, Procedia Engineer., 192,
953–958, https://doi.org/10.1016/j.proeng.2017.06.164, 2017.
Wu, H., Wu, P. B., Li, F. S., Shi, H. L., and Xu, K.: Fatigue analysis of
the gearbox housing in high-speed trains under wheel polygonization using a
multibody dynamics algorithm, Eng. Fail. Anal., 100, 351–364,
2019.
Yang, Y., Fenemore, C., Kingan, M. J., and Mace, B. R.: Analysis of the
vibroacoustic characteristics of cross laminated timber panels using a wave
and finite element method, J. Sound Vib., 494, 115842,
https://doi.org/10.1016/j.jsv.2020.115842, 2021.
Zhou, H. A., Zhao, Y. G., Wu, H. Y., and Meng, J. B.: The vibroacoustic
analysis of periodic structure-stiffened plates, J. Sound
Vib., 481, 115402, https://doi.org/10.1016/j.jsv.2020.115402, 2020.
Short summary
A comparison between the results obtained by the MsP method and the numerical integration method proves that the former is ideal and credible in most regions. The effects of the time-varying parameters and the nonlinear deenthing caused by the gear teeth clearance on the amplitude–frequency characteristics of TsSCS components are studied. This is a part of research on transmission gears' thermal deformation for application in warship power rear drive systems.
A comparison between the results obtained by the MsP method and the numerical integration method...