Derivation of trajectory equations for two types of multi-action internal curve hydraulic motors
两种类型多作用内曲线液压马达轨迹方程推导

摘要

本文介绍了两种类型多作用内曲线液压马达轨迹方程的推导过程，可根据度加速度和幅角分配推导出速度和极径，进而进行分段写出加速度方程和轨迹方程，这对于工程技术人员进行理论研究有一定借鉴意义。对于多作用内曲线液压马达来说，在设计其定子导轨曲线时由于对称性只需将其一个作用的曲线方程求出即可，而在一个作用期间柱塞推出与回程对称，因此只需求出柱塞推出段的曲线方程即可。柱塞推出段为一个工作幅角大小是φx，由等加速等速等减速定子导轨曲线特性可知，在柱塞的一个工作幅角中，曲线由零速区、加速区、等速区和减速区组成。幅角修正等加速运动曲线由零速区、等加速区、修正区、等减速区组成。

Abstract

This paper introduces the derivation process of trajectory equations of two types of multi-action internal curve hydraulic motors. Velocity and polar diameter can be derived according to degree acceleration and amplitude distribution, and then acceleration equations and trajectory equations can be written out in sections, which has certain reference significance for engineering and technical personnel to carry out theoretical research. For the multi-action internal curve hydraulic motor, in the design of its stator guide curve because of the symmetry of only one function of the curve equation can be calculated, and during an action of the plunger push out and return symmetry, so only the curve equation of the plunger push out section can be required. The plunger push-out section has a working amplitude of φx. According to the curve characteristics of stator guide rails with equal acceleration and equal deceleration, the curve of a plunger's working amplitude Angle is composed of zero speed zone, acceleration zone, constant speed zone and deceleration zone. The acceleration curve with amplitude and Angle correction is composed of zero velocity zone, equal acceleration zone, correction zone and equal deceleration zone.