Abstract
In order to calculate the meshing stiffness of the cycloidal pump’s rotor, a method of relationship that deduces two generating curtate epicycloid is proposed, the radius values of the inner rotor’s actual tooth profile curvature was calculated and analyzed; Based on the formula of Hertz, the cycloidal pump rotor’s meshing stiffness calculation formula is inferred, the changing curve of cycloidal pump rotor’s meshing stiffness is made, some important parameters on its meshing stiffness are studied, the maximum value of meshing stiffness is when the outer rotor mesh with inner rotor’s outer convex profile curve, and the minimum value is when the outer rotor mesh with the center of inner rotor’s inner concave.
Highlights
Cycloidal pump is called the cycloidal gear pump
Due to the number of gear teeth of cycloidal pump rotor in the process of meshing is periodical change, its meshing force between the rotors is periodical. at the same time, the rotor tooth of the cycloidal pump's meshing stiffness is cyclical change, solving the meshing stiffness of cycloidal pump rotors plays an important role in improving the transmission accuracy and analysis of the machine dynamic performance
Reference [3] formulates the mesh stiffness model of the RV reduction gears cycloidal-pin wheel's transmission pair based on Hertz formula and involute gear's transmission pair based on Shi Chuan formula, respectively
Summary
Cycloidal pump is called the cycloidal gear pump. Compared with other ordinary gear pumps, it has lots of advantages,such as compact structure, low noise, good self-priming performance, and suitable for high speed etc, and developed rapidly in recent years, widely used in food, textile, chemical, machinery and other industries. To accurately calculate the contact stress produced by the inner and outer rotor in cycloidal pump, the computation and analysis of the meshing stiffness is indispensable. Due to the number of gear teeth of cycloidal pump rotor in the process of meshing is periodical change, its meshing force between the rotors is periodical. At the same time, the rotor tooth of the cycloidal pump's meshing stiffness is cyclical change, solving the meshing stiffness of cycloidal pump rotors plays an important role in improving the transmission accuracy and analysis of the machine dynamic performance. This paper researches the derivation relationship between two methods of generating short of epicycloid method, and establishes the model of cycloidal pump rotor's meshing stiffness, getting each meshing tooth's meshing stiffness, and analyses its influencing factors
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