| 阶梯变厚度齿轮的横向弯曲振动 |
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| 引用本文： | 佘银柱,吕明,王时英. 阶梯变厚度齿轮的横向弯曲振动[J]. 机械科学与技术, 2013, 32(1): 116-119,125 |
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| 作者姓名： | 佘银柱 吕明 王时英 |
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| 作者单位： | 1. 太原理工大学机械工程学院,太原030024;太原工业学院机械工程系,太原030008
2. 太原理工大学机械工程学院,太原,030024 |
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| 基金项目： | 国家自然科学基金项目(50975191)资助 |
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| 摘 要： | 针对含轮毂、腹板、轮缘的齿轮结构特点,将其简化为一阶梯变厚度环板,应用Mindlin中厚板理论推导了他横向弯曲振动的频率方程,求得了固有频率,计算结果与有限元模态分析结果非常吻合。并通过大量算例分析了影响计算精度的主要因素是齿轮的厚径比和轮毂与腹板的厚度之比,在中厚板理论适用范围内(厚径比小于0.5)及轮毂与腹板厚度比小于2的情况下,本文理论计算可以获得很高精度。
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| 关 键 词： | 阶梯变厚度 中厚板 横向弯曲振动 固有频率 ANSYS |
Transverse Bending Vibration of Gear with Stepped Variable Thickness |
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| She Yinzhu,Lü Ming,Wang Shiying. Transverse Bending Vibration of Gear with Stepped Variable Thickness[J]. Mechanical Science and Technology for Aerospace Engineering, 2013, 32(1): 116-119,125 |
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| Authors: | She Yinzhu Lü Ming Wang Shiying |
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| Affiliation: | 1(1College of Mechanical Engineering,Taiyuan University of Technology,Taiyuan 030024; 2Department of Mechanical Engineering,Taiyuan Institute of Technology,Taiyuan 030008) |
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| Abstract: | According the structural elements of the gear such as wheel boss,web,and wheel flange,we simplify it as an annular plate with stepped variable thickness,and calculate its natural frequency based on the Mindlin theory for moderate-thick plates.The gear's natural frequency obtained by theoretical model is consistent with that of finite element.By many calculation examples,we found that the main factors which affect the accuracy of the calculation are the ratio of thickness to diameter and the thickness ratio of wheel boss to web.In the application range of the moderate-thick plates theory,i.e.the ratio of thickness to diameter is less then 0.5,and the thickness ratio of wheel boss to web is less then 2,the calculated results are very accurate. |
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| Keywords: | stepped variable thickness moderate-thick plates transverse bending vibration natural frequency ANSYS |
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