外啮合齿轮泵动态困油模型及其参数影响分析

Dynamic Model of Trapped Oil and Effect of Related Variables on Trapped Oil Pressure in External Spur-gear Pump

为了解工况参数和设计参数对困油压力的定量影响,根据直齿无侧隙齿轮传动的几何关系及与卸荷槽的位置关系,由困油容积及其变化率、困油区内外的交换流量和动态侧隙的计算,建立了有困油压力方程和齿轮副动力学方程相耦合的动态困油模型,由此仿真出一个困油周期内的困油压力。与已有资料对比的结果表明:动态模型下的仿真结果要大于静态模型下的仿真结果,两困油区内的困油压力存在p2>p1;相关参数对困油的影响是矛盾的,存在优化问题。表明所建模型正确可靠,能够用于困油压力预测、振动分析与评估以及泵整体设计的最优化。

In order to understand the effect of condition and design parameters on trapped oil pressure in external spur-gear pump,based on the geometrical relationship of gear transmission of external spur-gear pump and relative position with relief groove,a new dynamic trapped oil model including equation of trapped oil pressure and dynamic coupled equation of gear pair was derived from the calculations of trapped volume and it＇s first derivative and exchange flux from inside to outside of trapped volume and dynamic backlash value.Thereby simulation results of trapped oil pressure were produced and compared with tested results published in a literature.All results indicated the simulation results from dynamic trapped-oil model were greater in value than static trapped-oil model with trapped-oil pressure p2 exceeding p1,besides,all involved parameters discrepantly influenced trapped-oil pressure,accordingly optimization of operate parameter was necessitated.Finally,the validated trapped-oil model was thought to be right and reliable for forecast on trapped-oil pressure as well as vibration analysis along with vibration evaluation and optimization of entire design of gear pump.