摘要
为了研究和仿真公差对齿轮运动学性能的影响,建立了齿面公差的参数化数学模型.基于新一代产品几何规范(GPS)标准体系,将表面几何偏差分为本质特征偏差和方位特征偏差.引入替代表面的概念,基于理论表面矢量参数化表示,用矢函数来描述替代表面和理论表面之间的本质特征偏差.基于三维空间刚体运动学,采用齐次坐标变换矩阵来描述替代表面在欧氏空间中相对于参考要素的方位特征(方向和位置)偏差.以圆柱斜齿轮齿面为例,采用提出的公差域建模方法,构建了该齿面的本质特征偏差和方位特征偏差的参数化模型,进而建立了圆柱斜齿轮齿面的公差数学模型.
A parametric tolerance model of gear tooth surface was established to study and simulate the impact of tolerance on gear kinematic performance. Surface geometric deviation was divided into intrinsic deviation and situation deviation based on the new generation geometrical product specification （GPS）. Substitute surface conception was introduced in the tolerance modeling. Intrinsic deviation between the substitute surface and the theoretical surface was described by vector function on the basis of the vector parametric representation of the theoretical surface. Based on the three-dimensional rigid body kinematics, homogeneous transformation matrix （HTM） was used to describe the situation deviation of the substitute surface relative to the reference feature in Euclidean space. Taking a helical gear tooth surface as example, the surface parameterized model of intrinsic deviation and situation deviation were studied. Accordingly, a mathematical tolerance model of the helical gear tooth surface was established using the modeling method.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2008年第11期1946-1950,共5页
Journal of Zhejiang University：Engineering Science
基金
国家自然科学基金资助项目(50505046,50775204,50835008)
浙江省自然科学基金资助项目(Z107334)
关键词
公差建模
渐开线齿面
齿面公差模型
产品几何规范(GPS)
tolerance modeling
involute gear tooth surface
tolerance model of gear tooth surface
geometrical product specification （GPS）
