| 基于边界积分方程法的圆弧齿轮强度分析 |
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| 引用本文： | 陈殿华,商桂芝,田中道彦. 基于边界积分方程法的圆弧齿轮强度分析[J]. 机械强度, 2005, 27(1): 130-133 |
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| 作者姓名： | 陈殿华 商桂芝 田中道彦 |
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| 作者单位： | 大连大学,机械工程系,辽宁大连市,116622;信州大学,工学部,日本长野市,380-0928 |
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| 摘 要： | 提出用边界积分方程法(boundary integral equation method，BIEM)进行圆弧齿轮强度分析的设汁方法。在研究中依据弹性理论的柯西型积分，建立适合于各种载荷作用轮齿不同位置的齿轮强度分析数学模型。在理论方程式建模中采用间接式边界积分方程法，以应力函数作为解析对象，直接求解齿轮应力、轮齿刚度变形等。文中方法具有理论公式推导简捷、软件设计容易、使用方便的优点。本研究还进行了软件设计和实例应用解析，并通过与其他方法的结果比较证实本方法正确有效和实用价值。
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| 关 键 词： | 圆弧齿轮 强度分析 边界积分方程法 柯西积分 |
STRENGTH ANALYSIS OF THE WN GEAR BASED ONTHE BOUNDARY INTEGRAL EQUATION METHOD |
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| CHEN DianHua SHANG GuiZhi Michihiko TANAKA. STRENGTH ANALYSIS OF THE WN GEAR BASED ONTHE BOUNDARY INTEGRAL EQUATION METHOD[J]. Journal of Mechanical Strength, 2005, 27(1): 130-133 |
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| Authors: | CHEN DianHua SHANG GuiZhi Michihiko TANAKA |
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| Affiliation: | CHEN DianHua 1 SHANG GuiZhi 1 Michihiko TANAKA 2 |
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| Abstract: | The boundary integral equation method(BIEM)is successfully applied to the strength analysis of Wildhaber-Novikov gear. The expression of the boundary condition for plane stress problems by using the Cauchy type integral formula in the elasticity theory is investigated. A strength analysis mathematical model for the WN gear possessing various concentrated loading properties is set up. The indirect BIEM is used regarding the stress function as the analysis object. Its advantages are succinct formula deduction, easy to program, simple and direct for application. Numerical examples as illustration of the developed approach are given. Compared with the results conducted by other theories, this method is proved to be efficient and practical. |
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| Keywords: | Wildhaber-Novikov gear Strength analysis Boundary integral equation method Cauchy integral |
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