| Related citation: | He Lin,Sanmin Wang,Earl H. Dowell,Jincheng Dong,Cong Ma.Dynamic Characteristics of Double-Helical Planetary Gear Sets Under Time-Varying Mesh Stiffness[J].Journal of Harbin Institute Of Technology(New Series),2016,23(4):44-51.DOI:10.11916/j.issn.1005-9113.2016.04.007. |
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| Author Name | Affiliation | | He Lin | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China | | Sanmin Wang | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China | | Earl H. Dowell | Department of Materials Science and Mechanical Engineering,Duke University,Durham 27705,USA | | Jincheng Dong | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China | | Cong Ma | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China |
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| Abstract: |
| Internal and external meshes are two of primary excitation sources which induce vibration while double-helical planetary gear sets are in transmission. Based on the analysis of tooth movement principle, three cases of mesh stiffness are derived via investigating the length of action lines,and catalogued in terms of β<β0, β=β0 and β>β0. The simulation demonstrates mesh stiffness between gear pairs performs as a trapezoid waveform (TW) and changes along with the line of action simultaneously, total mesh stiffness comes from the superposition of each engaged gear. While governing equations of motion contained 16 DOFs (degree of freedom) are constructed and effectively solved through the combination of numerical approaches. Comparing with sinusoidal waveform mesh stiffness(SW), the results show that dynamical factors and perturbation under the excitation of TW (β<β0) are greater and remarkable than that from SW, with respect to the mean dynamic factors about 1.51 and 1.28, respectively. The fluctuation response between ring-planet (R-P) is stronger than sun-planet (S-P) which is also validated by both approach studies, frequency spectra analyses identifies larger distinct rotational resonance and more frequencies under TW excitation. |
| Key words: time-varying mesh stiffness trapezoid waveform mean dynamical factors frequency spectra |
| DOI：10.11916/j.issn.1005-9113.2016.04.007 |
| Clc Number:TH113 |
| Fund: |
