Calculation and Analysis of Modified Gear Time-varying Meshing Stiffness based on Matlab
Considering the real involute and transition curve equation of gears，an accurate model of gears is conducted. The deformation of modified gear is deduced and calculated by Weber energy method. The mapping relationships of load angle <inline-formula><alternatives><math xmlns:mml="...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Transmission
2022-05-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.05.014 |
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| Summary: | Considering the real involute and transition curve equation of gears，an accurate model of gears is conducted. The deformation of modified gear is deduced and calculated by Weber energy method. The mapping relationships of load angle <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><msub><mrow><mi>β</mi></mrow><mrow><mi>j</mi></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M001.jpg"><?fx-imagestate width="2.53999996" height="4.48733330"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M001c.jpg"><?fx-imagestate width="2.53999996" height="4.48733330"?></graphic></alternatives></inline-formula>，pressure angle <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><msub><mrow><mi>α</mi></mrow><mrow><mi>k</mi></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M006.jpg"><?fx-imagestate width="3.21733332" height="3.72533321"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M006c.jpg"><?fx-imagestate width="3.21733332" height="3.72533321"?></graphic></alternatives></inline-formula>，rotation angle tan <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M7"><msub><mrow><mi>α</mi></mrow><mrow><mi>k</mi></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M006.jpg"><?fx-imagestate width="3.21733332" height="3.72533321"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M006c.jpg"><?fx-imagestate width="3.21733332" height="3.72533321"?></graphic></alternatives></inline-formula> and coordinate <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M8"><msub><mrow><mi>X</mi></mrow><mrow><mi>M</mi><mi>j</mi></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M004.jpg"><?fx-imagestate width="4.40266657" height="3.72533321"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/DC3539EA-DA21-4e1b-A62A-6C7663AFA7FD-M004c.jpg"><?fx-imagestate width="4.40266657" height="3.72533321"?></graphic></alternatives></inline-formula> of load point are deduced. According to the contact ratio of gears，the alternate meshing section boundary of single and double pairs of gear in meshing cycle is calculated. On this basis，the comprehensive meshing effect of gear pair has been taken into consideration in solving the comprehensive time-varying stiffness of gear pair. The combination of gear parametric modeling design and gear time-varying stiffness calculation is realized by Matlab GUI programming. The results provide important support for further research on gear dynamics. |
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| ISSN: | 1004-2539 |