CN108869224B - 一种高转速锥柱塞泵或马达的设计方法 - Google Patents

一种高转速锥柱塞泵或马达的设计方法 Download PDF

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CN108869224B
CN108869224B CN201810610914.8A CN201810610914A CN108869224B CN 108869224 B CN108869224 B CN 108869224B CN 201810610914 A CN201810610914 A CN 201810610914A CN 108869224 B CN108869224 B CN 108869224B
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王晋芝
安维亮
杨华
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AVIC Liyuan Hydraulic Co Ltd
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Abstract

本发明公开了一种高转速锥柱塞泵或马达的设计方法,通过调整Rz、Rg、L、β、α这五个参数,使得以下两个条件同时得到满足:主轴(3)和缸体(4)的转角差最小值M趋近于零;②在缸体(4)的旋转面上,A线和B线的夹角平均中值(DAB)mean趋于90°,所述的A线是K点与柱塞孔(8)中心的连接直线,所述的K点是柱塞(9)与柱塞孔(8)的接触点,所述的B线是中心孔(7)中点与柱塞孔(8)中心的连接直线,所述的Rz是主轴(3)上柱塞球窝(6)的分度圆半径,所述的Rg是缸体(4)上柱塞孔(8)的分度圆半径,所述的L是柱塞鼓部(12)中心到柱塞球头(11)中心的距离。采用本发明设计的斜轴锥柱塞泵或马达具有使用寿命长的优点。

Description

一种高转速锥柱塞泵或马达的设计方法
技术领域
本发明属于斜轴锥柱塞泵或马达领域,尤其涉及一种高转速锥柱塞泵或马达的设计方法。
背景技术
在工程液压机械中,泵及马达均是最重要的液压元件,目前工程液压机械行业的快速发展,对泵及马达的性能提出更高要求(即:更高的转速和更高的压力),迫使泵及马达升级换代,斜轴锥柱塞泵或马达的出现极大的提高了泵及马达的性能。如图1和图2所示,斜轴锥柱塞泵或马达包括串联的第一壳体和第二壳体,第一壳体和第二壳体之间设有α°的夹角,第一壳体内设有同轴的主轴,第二壳体内设有同轴的缸体,主轴朝向缸体的底面中心设有中心球窝,中心球窝周向设有多个柱塞球窝,缸体轴向上设有中心孔,中心孔周向设有与柱塞球窝相同数量的柱塞孔,主轴和缸体之间通过柱塞和中心杆连接;所述的柱塞包括柱塞杆,柱塞杆轴向上设有β°的锥度,柱塞杆的小端设有与柱塞球窝连接的柱塞球头,柱塞杆的大端设有位于柱塞孔内的柱塞鼓部;所述的中心杆包括杆部,杆部的一端设有与中心球窝连接的中心杆球头,杆部的另一端位于中心孔内且通过弹簧与缸体连接;缸体的外侧设有与第二壳体连接的配油盘。斜轴锥柱塞泵或马达即可以是泵又可以是马达,当其作为泵使用时,主轴旋转带动柱塞绕主轴旋转,柱塞旋转又驱动缸体绕中心杆旋转,主轴旋转同时带动柱塞在缸体的柱塞孔内往复运动。柱塞在柱塞孔内移动导致柱塞与柱塞孔形成空腔体积的变化,该体积增大则液压油液经配油盘吸油窗完成柱塞泵吸油,体积减小则液压油液经配油盘排油窗完成柱塞泵排油;当其作为马达使用的时候,则是一个逆序传动的过程。
现有的斜轴锥柱塞泵或马达虽然具有高转速和高压力的功能,但是斜轴锥柱塞泵或马达在高转速和高压过程中,柱塞对缸体柱塞孔壁作用摩擦副受力过大,导致材料接触面容易出现剥落和损伤的问题,产品的使用寿命短。而柱塞对缸体柱塞孔壁作用摩擦副受力过大,其中一部分原因是缸体和配油盘之间存在被弹簧压紧的压力,缸体旋转的过程中被配油盘施加了阻尼力矩,柱塞和缸体间的传动需要克服这个阻尼力矩。
因此,现有的斜轴锥柱塞泵或马达存在使用寿命短的问题。
发明内容
本发明的目的在于,提供一种高转速锥柱塞泵或马达的设计方法。采用本发明设计的斜轴锥柱塞泵或马达具有使用寿命长的优点。
本发明的技术方案:一种高转速锥柱塞泵或马达的设计方法,通过调整Rz、Rg、L、β、α这五个参数,使得以下两个条件同时得到满足:①主轴和缸体的转角差最小值M趋近于零;②在缸体的旋转面上,A线和B线的夹角平均中值(DAB)mean趋于90°,所述的A线是K点与柱塞孔中心的连接直线,所述的K点是柱塞与柱塞孔的接触点,所述的B线是中心孔中点与柱塞孔中心的连接直线,所述的Rz是主轴上柱塞球窝的分度圆半径,所述的Rg是缸体上柱塞孔的分度圆半径,所述的L是柱塞鼓部中心到柱塞球头中心的距离,所述的β是柱塞杆的锥度,所述的α是第一壳体和第二壳体的夹角。
多个柱塞的运动导致的主轴和缸体之间存在一个转角差几何包络方程。由于A线是K点与柱塞孔中心的连接直线,而本发明具有多个柱塞和多个柱塞孔,所以,本发明实际上具有和柱塞数量等同的多条A线,同相应的也具有多条B线,每组A线和B线之间都会形成一个夹角值DAB,(DAB)mean即为相应柱塞DAB的平均值,柱塞的DAB值是该柱塞旋转一周时,在一小段连续范围内与缸体的接触夹角值,因此存在接触最大值和最小值,柱塞锥面并不是在主轴转角上都与缸体孔壁有接触,当第一颗柱塞完成接触后,就换另一颗柱塞进行与缸体上另一个孔壁的接触,如此循环,每个柱塞接触过程是重复,姿态过程均一样。由于所有柱塞与缸体的接触姿态过程均一样,故只需要计算一个DAB的平均值即可。
前述的高转速锥柱塞泵或马达的设计方法中,通过调整Rz、Rg、L、β、α这五个参数,使得以下两个条件同时得到满足:①主轴和缸体的转角差的最小值0.002°≥M≥0°;②在缸体的旋转面上,A线和B线的夹角平均中值(DAB)mean的范围在90±0.5°之间,所述的A线是K点与柱塞孔中心的连接直线,所述的K点是柱塞与柱塞孔的接触点,所述的B线是中心孔中点与柱塞孔中心的连接直线,所述的Rz是主轴上柱塞球窝的分度圆半径,所述的Rg是缸体上柱塞孔的分度圆半径,所述的L是柱塞鼓部中心到柱塞球头中心的距离。
前述的高转速锥柱塞泵或马达的设计方法中,按照调整方程调整Rz、Rg、L、β、α这五个参数,使得主轴和缸体的转角差的最小值M趋近于零的同时,A线和B线的夹角平均中值(DAB)mean趋于90°;主轴和缸体的转角差的最小值M的调整方程:M=Mmin(N0,N1,N2,N3,N4,N5,N6,……,Nn),
其中
Figure BDA0001695542350000031
其中,
Figure BDA0001695542350000032
A线和B线的夹角平均中值(DAB)mean的调整方程:
Figure BDA0001695542350000041
其中,
Figure BDA0001695542350000042
其中,
Ni指的是第i个柱塞导致的主轴和缸体转角差,方程中的i值取i-1,例如计算第5个柱塞的时候,方程内的i取值为5-1=4;Mi指的是第i个柱塞在缸体旋转面上的椭圆半径;θz为主轴旋转转角。M0<>M计算比较函数,当M0>M时,(M0<>M)=1;M0≤M时,(M0<>)=0,M0指的是第1个位于0角度开始的柱塞计算的Mi值。
与现有技术相比,本发明在现有技术的基础上对Rz、Rg、L、β、α这五个参数提出了极限目标,使得柱塞和缸体之间的速度差较小,柱塞对柱塞孔的摩擦冲击较小,减少了柱塞和柱塞孔材料接触面出现剥落和损伤的可能性。通过调整Rz、Rg、L、β、α这五个参数,本发明在运行的时候,柱塞和缸体之间相互作用的力最小,使得斜轴锥柱塞泵或马达的使用寿命长。
进一步的,通过限定(DAB)mean和M值的区间范围,可以有效控制接触点K的分布位置,从而保证可以使得本发明的使用寿命更长。
进一步的,将Rz、Rg、L、β、α这五个参数代入方程式验算或调整,提高了设计的科学性和产品极高性能。
因此,采用本发明设计的斜轴锥柱塞泵或马达具有使用寿命长的优点。
附图说明
图1是本发明的结构示意图。
图2是柱塞的结构示意图。
图3是主轴、柱塞和缸体运动的轨迹示意图。
图4是缸体旋转面内投影速度示意图。
图5是主轴转角在缸体旋转面内的投影角,及结构尺寸导致的缸体旋转角示意图。
附图中的标记为:1-第一壳体,2-第二壳体,3-主轴,4-缸体,5-中心球窝,6-柱塞球窝,7-中心孔,8-柱塞孔,9-柱塞,10-中心杆,11-柱塞球头,12-柱塞鼓部,13-中心杆球头,14-弹簧,15-配油盘。
具体实施方式
下面结合附图和实施例对本发明作进一步的说明,但并不作为对本发明限制的依据。
实施例。一种高转速锥柱塞泵或马达的设计方法,按照如下方程调整Rz、Rg、L、β、α这五个参数,使得以下两个条件同时得到满足:①柱塞9转角差中的最小值0.002°≥M≥0°;②在缸体4的旋转面上,A线和B线的夹角平均中值
Figure BDA0001695542350000051
的范围在90±0.5°之间,所述的A线是K点与柱塞孔8中心的连接直线,所述的K点是柱塞9与柱塞孔8的接触点,所述的B线是中心孔7中点与柱塞孔8中心的连接直线,所述的Rz是主轴3上柱塞球窝6的分度圆半径,所述的Rg是缸体4上柱塞孔8的分度圆半径,所述的L是柱塞鼓部12中心到柱塞球窝6中心的距离,所述的β是柱塞杆的锥度,所述的α是第一壳体1和第二壳体2的夹角。柱塞9转角差中的最小值M的调整方程:M=Mmin(N0,N1,N2,N3,N4,N5,N6,……,Nn),
其中
Figure BDA0001695542350000061
其中,
Figure BDA0001695542350000062
A线和B线的夹角平均中值(DAB)mean的调整方程:
Figure BDA0001695542350000063
其中,
Figure BDA0001695542350000064
其中,
Figure BDA0001695542350000065
以下表格是根据上述方法设计的两种马达的三组尺寸举例:
Figure BDA0001695542350000066
本发明的工作原理:如图3和图4所示,当M=Mmin(N0,N1,N2,N3,N4,……,Nn)≈0°时,主轴3投影至缸体4旋转面上的转角θ变化曲线和缸体4转角的变化曲线趋于一致,主轴3、柱塞9和缸体4的三者间趋于同步空间传动,此时柱塞9和缸体4之间相互作用的力最小,柱塞9和柱塞孔8材料接触面出现剥落和损伤的可能性最小。图3中DO轴为主轴的旋转轴、Rz所在环线是主轴的柱塞球窝分度圆、OE是缸体旋转轴、Rg所在环线是缸体的柱塞孔分度圆、α是壳体的倾角、A是锥形柱塞的球头中心、B是柱塞鼓部12的中心、β是柱塞锥面的角度(其余锥柱塞的工作姿态相同,按相位差平均分布,本文只取一颗锥柱塞进行解释)。
如图5所示,在缸体4的旋转面上,A线和B线的夹角趋近于90°,拨动力的力臂最大化,克服缸体4和配油盘15之间阻尼力矩需要的拨动力最小,不但减少了柱塞9和柱塞孔8之间的磨损,提高了使用寿命,而且提高了本发明输入端和输出端能量的转化效率。
现有技术下的斜轴柱塞泵及马达在设计之初无法有目的的对M和(DAB)mean进行控制,所得的M值均≥0.1°,所得的(DAB)mean混乱,多型产品有的分布于150°,有的分布于40°,无法有效控制接触点的分布位置。而本发明可设计控制在0.002°≥Mmin≥0.0°,(DAB)mean控制在90°±0.5°。
减小主轴和缸体转角差(主轴和缸体的转角差体现出主轴和缸体转速差),是为保证主轴和缸体空间同步传动,带来的结果就是柱塞和缸体之间无速度差。前述的方程及方法均以主轴和缸体的转角差来定义,所以前述中均写主轴和缸体的转角差,不写柱塞的转角差,因为柱塞和缸体孔不存在转角差,而是存在旋转速度差,柱塞和缸体孔的转角差就是柱塞的锥角,是固定值。
本发明为本结构的液压元件提供了一个极限设计优化的方法。本文极限优化的两点是空间传动和最小拨动力矩。根据这两点提出优化的目标,进而形成方程。虽然不能使用手工进行验算的(主轴转角是自变量,转角差不是单点而是连续曲线),但提高了设计的科学性和产品极高性能。
因此,采用本发明设计的斜轴锥柱塞泵或马达具有使用寿命长的优点。

Claims (2)

1.一种高转速锥柱塞泵或马达的设计方法,其特征在于:通过调整Rz、Rg、L、β、α这五个参数,使得以下两个条件同时得到满足:
Figure 983583DEST_PATH_IMAGE002
轴(3)和缸体(4)的转角差最小值M趋近于零;
Figure 841818DEST_PATH_IMAGE004
在缸体(4)的旋转面上,A线和B线的夹角平均中值(DABmean趋于90°,所述的A线是K点与柱塞孔(8)中心的连接直线,所述的K点是柱塞(9)与柱塞孔(8)的接触点,所述的B线是中心孔(7)中点与柱塞孔(8)中心的连接直线,所述的Rz是主轴(3)上柱塞球窝(6)的分度圆半径,所述的Rg是缸体(4)上柱塞孔(8)的分度圆半径,所述的L是柱塞鼓部(12)中心到柱塞球头(11)中心的距离,所述的β是柱塞杆的锥度,所述的α是第一壳体(1)和第二壳体(2)的夹角;
按照调整方程调整Rz、Rg、L、β、α这五个参数,使得主轴(3)和缸体(4)的转角差的最小值M趋近于零的同时,A线和B线的夹角平均中值(DABmean趋于90°;主轴和缸体的转角差的最小值M的调整方程:M=Mmin(
Figure 860590DEST_PATH_IMAGE006
,……,Nn),
Figure 629011DEST_PATH_IMAGE008
A线和B线的夹角平均中值(DABmean的调整方程:
Figure 531425DEST_PATH_IMAGE010
Figure 165669DEST_PATH_IMAGE011
Figure 528517DEST_PATH_IMAGE012
=1;当
Figure 564606DEST_PATH_IMAGE013
=0。
2.根据权利要求1所述的高转速锥柱塞泵或马达的设计方法,其特征在于:通过调整Rz、Rg、L、β、α这五个参数,使得以下两个条件同时得到满足:
Figure DEST_PATH_IMAGE014
主轴(3)和缸体(4)的转角差的最小值0.002°≥M≥0°;在缸体(4)的旋转面上,A线和B线的夹角平均中值(DABmean的范围在90±0.5°之间。
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