斜盘式轴向柱塞泵柱塞运动学分析的一般模型

考虑斜盘式轴向柱塞泵斜盘倾角、斜盘交错角及柱塞倾角结构特征,采用坐标变换法,建立了柱塞泵柱塞运动学分析的一般数学模型.经分析结果表明:斜盘交错角使柱塞运动的相位发生变化;柱塞倾角使柱塞运动曲线呈类简谐规律变化;斜盘交错角和柱塞倾角增大均会使柱塞的位移、速度和加速度最大幅值增大,位移增大可增加柱塞泵的排量,柱塞沿其轴线方向速度和加速度的增大会提高柱塞腔液流瞬时最大速度和柱塞的惯性力;采用负的斜盘交错角时,上下死点偏转角偏转方向与缸体旋向相同为正,推迟柱塞腔预压缩和预膨胀过程,反之则为负,提前柱塞腔预压缩和预膨胀过程;在斜盘变量过程中,上下死点偏转角随斜盘倾角改变而变化,斜盘交错角绝对值越小,上下死点偏转角的变化梯度随斜盘倾角变小而增大,而当斜盘倾角在大排量范围内变化时上下死点偏转角的变化梯度变小;上下死点最大偏转角为90°,此时斜盘倾角为零.

General model for kinematic analysis of swash plate axial piston pump

Based on the comprehensive consideration of swash plate angle, cross angle and piston inclination angle of the swash plate axial piston pump, the general piston kinematics model is established by coordinate transformation method. The analysis results show that the cross angle of swash plate and the inclination angle of piston will increase the maximum amplitudes of displacement, velocity and acceleration of piston, and then increase the displacement of pump, the maximum transient flow velocity in the piston chamber and the inertia force of piston; the cross angle of swash plate will change the phase of piston movement and make the internal and external dead points deflect, which will change the pre-compression and pre-expansion angle of valve plate; the inclination angle of piston will affect the movement of the piston, the smaller the inclination angle of the plunger, the closer the movement of the plunger is to the simple harmonic motion, on the contrary, the larger the deviation is, the maximum deflection angle of internal and external dead center is 90°, the smaller the absolute value of the cross angle is, the smaller the deflection angle of internal and external dead center changes in the range of big swash plate angle, and the greater the gradient of change when swash plate angle is close to zero displacement.