Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact

C. Spitas; V. Spitas

首页> 外文期刊>Applied Mathematical Modelling >Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact

【24h】

Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact

机译：非共轭齿轮接触的二维形式的啮合方程修正形式的直接解析解

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The current technological state-of-the-art utilises modified gear profiles, which are in part non-conjugate and therefore cannot be analysed using standard conjugate contact theory. Existing non-conjugate mathematical models require the solution of a system of implicit equations, typically with significant computational effort and need for careful monitoring of solution stability, convergence and selection of initial values. This paper derives a modified form for the fundamental gear meshing equations, which are reduced analytically to a single scalar equation, resulting in improved solution speed and stability. The solution is verified in benchmark tests using real gear geometries.

机译：当前的技术水平利用改进的齿轮轮廓，其部分是非共轭的，因此不能使用标准的共轭接触理论进行分析。现有的非共轭数学模型需要求解隐式方程组，通常需要大量的计算工作，并且需要仔细监控解决方案的稳定性，收敛性和初始值的选择。本文推导了基本齿轮啮合方程的改进形式，将其解析简化为单个标量方程，从而提高了求解速度和稳定性。该解决方案在使用真实齿轮几何形状的基准测试中得到了验证。

著录项

来源
《Applied Mathematical Modelling》 |2008年第10期|2162-2171|共10页
作者
C. Spitas; V. Spitas;
展开▼
作者单位

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
gear mesh analysis; non-conjugate contact; direct analytical solution;

机译：齿轮啮合分析;非共轭接触直接分析溶液;

相似文献

外文文献
中文文献
专利

1. Fast unconditionally stable 2-D analysis of non-conjugate gear contacts using an explicit formulation of the meshing equations [J] . C. Spitas, V. Spitas Mechanism and Machine Theory: Dynamics of Machine Systems Gears and Power Trandmissions Robots and Manipulator Systems Computer-Aided Design Methods . 2011,第7期

机译：使用啮合方程的显式快速进行非共轭齿轮接触的快速无条件稳定二维分析
2. An efficient multibody dynamic model of three-dimensional meshing contacts in helical gear-shaft system and its solution [J] . Liu Jia-Wei, Liu Jia-Peng, Shu Xuan-Bo, Mechanism and Machine Theory: Dynamics of Machine Systems Gears and Power Trandmissions Robots and Manipulator Systems Computer-Aided Design Methods . 2019,第期

机译：螺旋齿轮轴系统三维啮合触点的高效多体动态模型及其解决方案
3. Multi-tooth contact behavior of helical gear applying modified meshing equation [J] . Jianhong Wang, Teik C. Lim, Yi Ding Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science . 2013,第1期

机译：应用修正啮合方程的斜齿轮多齿接触特性
4. Darboux transformation and soliton solution for the (2+1)-dimensional complex modified Korteweg-de Vries equations [C] . K Yesmakhanova, G Shaikhova, G Bekova, International Conference on Mathematical Modeling in Physical Sciences . 2017

机译：DARBOUX转换和孤子解决方案（2 + 1） - 二维复杂改装的Korteweg-de Vries方程式
5. Computational geometry techniques for two-dimensional and three-dimensional unstructured mesh generation with application to the solution of divergence form partial differential equations. [D] . LaBarre, Robert Eugene. 1992

机译：用于二维和三维非结构化网格生成的计算几何技术及其在散度解中的应用，形成了偏微分方程。
6. DIRECT SOLUTION OF GENERAL ONE-DIMENSIONAL LINEAR PARABOLIC EQUATION VIA AN ABSTRACT PLANCHEREL FORMULA [O] . Reuben Hersh 1969

机译：通过抽象的PlancheREL公式直接求解一维线性抛物线方程
7. Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations [O] . Delort, Jean-Marc 2016

机译：修正的一维KG方程的半经典微局部范式和整体解

Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact

摘要

著录项

相似文献

相关主题

期刊订阅