CN108875272A - A kind of calculation method of planetary gear train transmission efficiency - Google Patents
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Abstract
本发明公开了一种行星轮系传动效率的计算方法，它包括以下步骤：S1，获取行星轮系的相关数据；S2，计算行星架与行星轮的传动比；S3，绘制行星轮系的功率流图；S4，绘制转化轮系的功率流图；S5，计算功率流经过齿轮副的功率损失和转化轮系的输入功率；S6，计算行星轮系的传动效率。本发明可快速简便计算行星轮系传动效率，计算方法简单，大大提高了计算的效率和准确性。
The invention discloses a method for calculating the transmission efficiency of a planetary gear train, which comprises the following steps: S1, obtaining relevant data of the planetary gear train; S2, calculating the transmission ratio between the planetary carrier and the planetary gear; S3, drawing the power of the planetary gear train Flow diagram; S4, draw the power flow diagram of the converted gear train; S5, calculate the power loss of the power flow through the gear pair and the input power of the converted gear train; S6, calculate the transmission efficiency of the planetary gear train. The invention can quickly and easily calculate the transmission efficiency of the planetary gear train, the calculation method is simple, and the calculation efficiency and accuracy are greatly improved.
Description
技术领域technical field
本发明涉及齿轮轮系传动系统技术领域，具体地说是一种行星轮系传动效率的计算方法。The invention relates to the technical field of gear train transmission systems, in particular to a calculation method for the transmission efficiency of planetary gear trains.
背景技术Background technique
行星轮系具有体积小、结构紧凑和承载能力高等优点，被广泛应用于航空发动机、起重运输设备和石油化工机械等传动装置中。提高行星轮系传动效率能够提升产品的传动性能。因此，开展行星轮系传动效率研究具有重要的工程意义。The planetary gear train has the advantages of small size, compact structure and high load-carrying capacity, and is widely used in transmission devices such as aero-engines, lifting and transportation equipment, and petrochemical machinery. Improving the transmission efficiency of the planetary gear train can improve the transmission performance of the product. Therefore, it is of great engineering significance to carry out research on the transmission efficiency of planetary gear trains.
虽然行星轮系传动效率的计算方法较多，但目前的方法大部分较为繁琐和复杂。Although there are many calculation methods for the transmission efficiency of planetary gear trains, most of the current methods are cumbersome and complicated.
发明内容Contents of the invention
针对现有技术的不足，本发明提出了一种行星轮系传动效率的计算方法，能够快速简便地计算行星轮系传动效率。Aiming at the deficiencies of the prior art, the present invention proposes a calculation method for the transmission efficiency of the planetary gear train, which can quickly and easily calculate the transmission efficiency of the planetary gear train.
本发明解决其技术问题采取的技术方案是：The technical scheme that the present invention solves its technical problem to take is:
本发明实施例提供的一种行星轮系传动效率的计算方法，所述行星轮系的结构包括机架、中心轮一、中心轮二、行星轮一、行星轮二和行星架，行星轮一和行星轮二固连在同一轴上，中心轮二与机架固连在一起，其特征是，所述计算方法包括以下步骤：The embodiment of the present invention provides a method for calculating the transmission efficiency of a planetary gear train. The structure of the planetary gear train includes a frame, a center wheel 1, a center wheel 2, a planetary wheel 1, a planetary wheel 2, and a planet carrier, and the planetary wheel 1 It is fixedly connected with the second planetary wheel on the same shaft, and the second center wheel is fixedly connected with the frame. It is characterized in that the calculation method includes the following steps:
S1，获取行星轮系的相关数据；S1, obtaining relevant data of the planetary gear train;
S2，计算行星架与行星轮的传动比；S2, calculating the transmission ratio between the planet carrier and the planet gear;
S3，绘制行星轮系的功率流图；S3, drawing a power flow diagram of the planetary gear train;
S4，绘制转化轮系的功率流图；S4, drawing a power flow diagram of the converted gear train;
S5，计算功率流经过齿轮副的功率损失和转化轮系的输入功率；S5, calculating the power loss of the power flow through the gear pair and converting the input power of the gear train;
S6，计算行星轮系的传动效率。S6, calculating the transmission efficiency of the planetary gear train.
作为本实施例一种可能的实现方式，在步骤S1中，所述行星轮系的相关数据包括：行星轮二齿数Z3、中心轮二齿数Z4、输入功率P、中心轮一与行星轮一组成的齿轮副的啮合效率η1、行星轮二与中心轮二组成的齿轮副的啮合效率η2。As a possible implementation of this embodiment, in step S1, the relevant data of the planetary gear train includes: the second tooth number Z 3 of the planetary gear, the second tooth number Z 4 of the center wheel, the input power P, the first center wheel and the planetary gear The meshing efficiency η 1 of the gear pair composed of the first gear pair, and the meshing efficiency η 2 of the gear pair composed of the second planetary gear and the second sun gear.
作为本实施例一种可能的实现方式，所述步骤S2的具体过程为：通过式(1)所示的行星架与行星轮传动比计算公式计算得到行星架与行星轮传动比iH2，As a possible implementation of this embodiment, the specific process of the step S2 is as follows: the transmission ratio i H2 of the planetary carrier and the planetary gear is obtained by calculating the transmission ratio i H2 of the planetary carrier and the planetary wheel through the calculation formula shown in formula (1),
式中，iH2为行星架与行星轮传动比，Z3为行星轮二齿数，Z4为中心轮二齿数。In the formula, i H2 is the transmission ratio between the planet carrier and the planetary gear, Z 3 is the number of two teeth of the planetary gear, and Z 4 is the number of two teeth of the sun gear.
作为本实施例一种可能的实现方式，在步骤S3中，绘制行星轮系功率流图的具体过程为：As a possible implementation of this embodiment, in step S3, the specific process of drawing the power flow diagram of the planetary gear train is:
行星轮系中的构件用阿拉伯数字表示，齿轮副用和符号表示，功率流值不为0的构件之间的功率流方向用带箭头的实线表示，功率流值在实线上进行标注，功率流值为0的构件之间用实线连接，0值在实线上进行标注，输入功率经过中心轮一，经过中心轮一与行星轮一组成的齿轮副，经过行星轮一(行星轮二)，在行星轮一(行星轮二)处分流，一路功率流经过行星轮二与中心轮二组成的齿轮副，另一路功率流经过行星架，输出行星轮系，最终形成行星轮系功率流。The components in the planetary gear train are represented by Arabic numerals, and the gear pairs are represented by and The symbol indicates that the power flow direction between the components whose power flow value is not 0 is indicated by a solid line with arrows, the power flow value is marked on the solid line, and the components with a power flow value of 0 are connected by a solid line, 0 The value is marked on the solid line, the input power passes through the center gear 1, through the gear pair composed of the center gear 1 and the planet gear 1, through the planet gear 1 (planet gear 2), and shunts at the planet gear 1 (planet gear 2), One power flow passes through the gear pair formed by the second planetary gear and the second sun gear, and the other power flow passes through the planet carrier to output the planetary gear train, finally forming the power flow of the planetary gear train.
作为本实施例一种可能的实现方式，所述步骤S4的具体过程包括以下步骤：As a possible implementation of this embodiment, the specific process of step S4 includes the following steps:
S41，给行星轮系加上一个与行星架角速度大小相等方向相反的附加转动得到转化轮系，原行星轮系中的机架成为转化轮系的活动构件，原行星轮系中的行星架成为转化轮系的机架；S41, add an additional rotation to the planetary gear train that is equal in magnitude and opposite to the angular velocity of the planetary gear train to obtain the transformed gear train, the frame in the original planetary gear train becomes the movable component of the transformed gear train, and the planet carrier in the original planetary gear train becomes rack for transforming gear trains;
S42，绘制转化轮系的功率流图：转化轮系中的构件用阿拉伯数字表示，齿轮副用和符号表示，功率流值不为0的构件之间的功率流方向用带箭头的实线表示，功率流值在实线上进行标注，功率流值为0的构件之间用实线连接，0值在实线上进行标注，输入功率经过中心轮一，经过中心轮一与行星轮一组成的齿轮副，经过行星轮一(行星轮二)，经过行星轮二与中心轮二组成的齿轮副，经过中心轮二，输出转化轮系，最终形成转化轮系功率流。S42, draw the power flow diagram of the converted gear train: the components in the converted gear train are represented by Arabic numerals, and the gear pairs are represented by and The symbol indicates that the power flow direction between the components whose power flow value is not 0 is indicated by a solid line with arrows, the power flow value is marked on the solid line, and the components with a power flow value of 0 are connected by a solid line, 0 The values are marked on the solid line, the input power passes through the center gear 1, through the gear pair composed of the center gear 1 and the planetary gear 1, through the planetary gear 1 (planetary gear 2), and through the gear pair composed of the planetary gear 2 and the sun gear 2 , through the center wheel 2, output the conversion gear train, and finally form the power flow of the conversion gear train.
作为本实施例一种可能的实现方式，在步骤S5中，计算功率流经过齿轮副的功率损失和转化轮系的输入功率的具体过程为：As a possible implementation of this embodiment, in step S5, the specific process of calculating the power loss of the power flow through the gear pair and converting the input power of the gear train is as follows:
通过第一级齿轮副功率损失计算公式、第二级齿轮副功率损失计算公式和转化轮系输入功率计算公式计算得到功率流经过中心轮一与行星轮一组成的齿轮副的功率损失L1、功率流经过行星轮二与中心轮二组成的齿轮副的功率损失L2、转化轮系的输入功率PH。The power loss L 1 and The power flow passes through the power loss L 2 of the gear pair composed of the second planetary gear and the second sun gear, and converts the input power P H of the gear train.
作为本实施例一种可能的实现方式，所述第一级齿轮副功率损失计算公式为：As a possible implementation of this embodiment, the formula for calculating the power loss of the first stage gear pair is:
L1＝(1-η1)PH (2)L 1 =(1-η 1 )P H (2)
式中，L1为功率流经过中心轮一与行星轮一组成的齿轮副的功率损失，PH为转化轮系的输入功率，η1为中心轮一与行星轮一组成的齿轮副的啮合效率；In the formula, L1 is the power loss of the power flow through the gear pair composed of the first center wheel and the first planetary wheel, PH is the input power of the conversion gear train, and η1 is the meshing of the gear pair composed of the first center wheel and the first planetary wheel efficiency;
所述第二级齿轮副功率损失计算公式为：The formula for calculating the power loss of the second stage gear pair is:
L2＝η1(1-η2)PH (3)L 2 =η 1 (1-η 2 )P H (3)
式中，L2为功率流经过行星轮二与中心轮二组成的齿轮副的功率损失，PH为转化轮系的输入功率，η1为中心轮一与行星轮一组成的齿轮副的啮合效率，η2为行星轮二与中心轮二组成的齿轮副的啮合效率；In the formula, L2 is the power loss of power flow through the gear pair composed of planetary gear 2 and sun gear 2, PH is the input power of the conversion gear train, η1 is the meshing of the gear pair composed of sun gear 1 and planetary gear 1 Efficiency, η 2 is the meshing efficiency of the gear pair that planetary wheel two and center wheel two form;
所述转化轮系输入功率计算公式为：The formula for calculating the input power of the conversion gear train is:
PH＝(1-iH2)(P-L1-L2)+L1 (4)P H ＝(1-i H2 )(PL 1 -L 2 )+L 1 (4)
式中，PH为转化轮系的输入功率，iH2为行星架与行星轮传动比，L1为功率流经过中心轮一与行星轮一组成的齿轮副的功率损失，L2为功率流经过行星轮二与中心轮二组成的齿轮副的功率损失。In the formula, P H is the input power of the conversion gear train, i H2 is the transmission ratio of the planetary carrier and the planetary gear, L 1 is the power loss of the power flow through the gear pair composed of the center gear 1 and the planetary gear 1, and L 2 is the power flow The power loss through the gear pair formed by the second planetary wheel and the second sun wheel.
作为本实施例一种可能的实现方式，所述步骤S6的具体过程为：As a possible implementation of this embodiment, the specific process of step S6 is:
通过式(5)所示的行星轮系传动效率计算公式计算得到行星轮系的传动效率η，The transmission efficiency η of the planetary gear train is obtained by calculating the planetary gear train transmission efficiency calculation formula shown in formula (5),
式中，η为行星轮系的传动效率，P为输入功率，L1为功率流经过中心轮一与行星轮一组成的齿轮副的功率损失，L2为功率流经过行星轮二与中心轮二组成的齿轮副的功率损失。In the formula, η is the transmission efficiency of the planetary gear train, P is the input power, L1 is the power loss of the gear pair formed by the power flow through the first sun gear and the first planetary gear, and L2 is the power flow through the second planetary gear and the sun gear. The power loss of the two-component gear pair.
本发明实施例的技术方案可以具有的有益效果如下：The beneficial effects that the technical solutions of the embodiments of the present invention may have are as follows:
本发明实施例技术方案的一种行星轮系传动效率的计算方法，根据行星轮系的结构，计算行星架与行星轮的传动比，绘制行星轮系的功率流图，绘制转化轮系的功率流图，计算功率流经过齿轮副的功率损失和转化轮系的输入功率，计算行星轮系的传动效率。本发明可快速简便计算行星轮系传动效率，计算方法简单，大大提高了计算的效率和准确性。A calculation method for the transmission efficiency of a planetary gear train according to the technical solution of the embodiment of the present invention, according to the structure of the planetary gear train, calculate the transmission ratio between the planetary carrier and the planetary gear, draw the power flow diagram of the planetary gear train, and draw the power of the converted gear train The flow diagram calculates the power loss of the power flow through the gear pair and the input power of the converted gear train, and calculates the transmission efficiency of the planetary gear train. The invention can quickly and easily calculate the transmission efficiency of the planetary gear train, the calculation method is simple, and the calculation efficiency and accuracy are greatly improved.
附图说明Description of drawings
图1是根据一示例性实施例示出的一种行星轮系传动效率的计算方法的流程图；Fig. 1 is a flow chart of a method for calculating transmission efficiency of a planetary gear train according to an exemplary embodiment;
图2是根据一示例性实施例示出的一种行星轮系的传动原理图；Fig. 2 is a transmission schematic diagram of a planetary gear train according to an exemplary embodiment;
图3是根据一示例性实施例示出的一种行星轮系功率流图的示意图；Fig. 3 is a schematic diagram of a power flow diagram of a planetary gear train according to an exemplary embodiment;
图4是根据一示例性实施例示出的一种转化轮系功率流图的示意图；Fig. 4 is a schematic diagram showing a power flow diagram of a conversion gear train according to an exemplary embodiment;
图2中符号表示：1、中心轮一，2、行星轮一，3、行星轮二，4、中心轮二，5、机架，H、行星架；The symbols in Fig. 2 represent: 1, center wheel one, 2, planetary wheel one, 3, planetary wheel two, 4, center wheel two, 5, frame, H, planetary carrier;
图3和图4中符号表示：1、中心轮一，2、行星轮一，3、行星轮二，4、中心轮二，H、行星架，中心轮一与行星轮一组成的齿轮副，行星轮二与中心轮二组成的齿轮副。Symbols in Fig. 3 and Fig. 4 represent: 1, center wheel one, 2, planetary wheel one, 3, planetary wheel two, 4, center wheel two, H, planet carrier, The gear pair consisting of the center gear one and the planet gear one, A gear pair formed by the second planetary gear and the second sun gear.
具体实施方式Detailed ways
为能清楚说明本方案的技术特点，下面通过具体实施方式，并结合其附图，对本发明进行详细阐述。下文的公开提供了许多不同的实施例或例子用来实现本发明的不同结构。为了简化本发明的公开，下文中对特定例子的部件和设置进行描述。此外，本发明可以在不同例子中重复参考数字和/或字母。这种重复是为了简化和清楚的目的，其本身不指示所讨论各种实施例和/或设置之间的关系。应当注意，在附图中所图示的部件不一定按比例绘制。本发明省略了对公知组件和处理技术及工艺的描述以避免不必要地限制本发明。In order to clearly illustrate the technical features of this solution, the present invention will be described in detail below through specific implementation modes and in conjunction with the accompanying drawings. The following disclosure provides many different embodiments or examples for implementing different structures of the present invention. To simplify the disclosure of the present invention, components and arrangements of specific examples are described below. Furthermore, the present invention may repeat reference numerals and/or letters in different instances. This repetition is for the purpose of simplicity and clarity and does not in itself indicate a relationship between the various embodiments and/or arrangements discussed. It should be noted that components illustrated in the figures are not necessarily drawn to scale. Descriptions of well-known components and processing techniques and processes are omitted herein to avoid unnecessarily limiting the present invention.
如图2所示，行星轮系的结构包括中心轮一1、行星轮一2、行星轮二3、中心轮二4、机架5和行星架H，行星轮一2和行星轮二3固连在同一轴上，中心轮二4与机架5固连在一起。As shown in Figure 2, the structure of the planetary gear train includes a central gear 1, a planetary gear 2, a planetary gear 2 3, a central gear 2 4, a frame 5 and a planet carrier H, a planetary gear 2 and a planetary gear 2 3 solid Connected on the same axle, the center wheel 2 4 is fixedly connected with the frame 5.
针对上述行星轮系的结构，本发明提供了一种行星轮系传动效率的计算方法，如图1所示，它包括以下步骤：S1，获取行星轮系的相关数据；S2，计算行星架与行星轮的传动比；S3，绘制行星轮系的功率流图；S4，绘制转化轮系的功率流图；S5，计算功率流经过齿轮副的功率损失和转化轮系的输入功率；S6，计算行星轮系的传动效率。For the structure of above-mentioned planetary gear train, the present invention provides a kind of calculation method of planetary gear train transmission efficiency, as shown in Figure 1, it comprises the following steps: S1, obtain the relevant data of planetary gear train; S2, calculate planet carrier and The transmission ratio of the planetary gear; S3, draw the power flow diagram of the planetary gear train; S4, draw the power flow diagram of the converted gear train; S5, calculate the power loss of the power flow through the gear pair and the input power of the converted gear train; S6, calculate Transmission efficiency of the planetary gear train.
本发明实施例提供的一种行星轮系传动效率的计算方法，其具体实现过程包括以下步骤：A method for calculating the transmission efficiency of a planetary gear train provided by an embodiment of the present invention, its specific implementation process includes the following steps:
步骤1，获取行星轮系的相关数据：行星轮二齿数Z3、中心轮二齿数Z4、输入功率P、中心轮一与行星轮一组成的齿轮副的啮合效率η1、行星轮二与中心轮二组成的齿轮副的啮合效率η2，如表1所示。Step 1. Obtain the relevant data of the planetary gear train: number of teeth Z 3 of planetary gear 2, number of teeth of center gear 2 Z 4 , input power P, meshing efficiency η 1 of the gear pair composed of center gear 1 and planetary gear 1, planetary gear 2 and The meshing efficiency η 2 of the gear pair composed of two center wheels is shown in Table 1.
表1Table 1
步骤2：使用步骤1中的行星轮二齿数Z3、中心轮二齿数Z4，通过式(1)所示的行星架与行星轮的传动比计算公式计算得到行星架与行星轮的传动比iH2，Step 2: Using the number of two teeth of the planetary gear Z 3 and the number of teeth of the center gear Z 4 in step 1, calculate the transmission ratio of the planetary carrier and the planetary gear through the calculation formula of the transmission ratio of the planetary carrier and the planetary gear shown in formula (1) i H2 ,
式中，iH2为行星架与行星轮的传动比，Z3为行星轮二齿数，Z4为中心轮二齿数。In the formula, i H2 is the transmission ratio between the planetary carrier and the planetary gear, Z 3 is the number of two teeth of the planetary gear, and Z 4 is the number of two teeth of the center gear.
步骤3：绘制行星轮系功率流图，行星轮系中的构件用阿拉伯数字表示，齿轮副用和符号表示，功率流值不为0的构件之间的功率流方向用带箭头的实线表示，功率流值在实线上进行标注，功率流值为0的构件之间用实线连接，0值在实线上进行标注，输入功率经过中心轮一，经过中心轮一与行星轮一组成的齿轮副，经过行星轮一(行星轮二)，在行星轮一(行星轮二)处分流，一路功率流经过行星轮二与中心轮二组成的齿轮副，另一路功率流经过行星架，输出行星轮系，最终形成行星轮系功率流，行星轮系的功率流图如图3所示，图3中符号表示：1、中心轮一，2、行星轮一，3、行星轮二，4、中心轮二，H、行星架，中心轮一与行星轮一组成的齿轮副，行星轮二与中心轮二组成的齿轮副。Step 3: Draw the power flow diagram of the planetary gear train, the components in the planetary gear train are represented by Arabic numerals, and the gear pairs are represented by and The symbol indicates that the power flow direction between the components whose power flow value is not 0 is indicated by a solid line with arrows, the power flow value is marked on the solid line, and the components with a power flow value of 0 are connected by a solid line, 0 The value is marked on the solid line, the input power passes through the center gear 1, through the gear pair composed of the center gear 1 and the planet gear 1, through the planet gear 1 (planet gear 2), and shunts at the planet gear 1 (planet gear 2), One power flow passes through the gear pair composed of planetary gear 2 and sun gear 2, and the other power flow passes through the planetary carrier to output the planetary gear system, and finally forms the power flow of the planetary gear system. The power flow diagram of the planetary gear system is shown in Figure 3. The symbols in Fig. 3 represent: 1, center wheel one, 2, planetary wheel one, 3, planetary wheel two, 4, center wheel two, H, planet carrier, The gear pair consisting of the center gear one and the planet gear one, A gear pair formed by the second planetary gear and the second sun gear.
步骤4：给行星轮系加上一个与行星架角速度大小相等方向相反的附加转动得到转化轮系，原行星轮系中的机架成为转化轮系的活动构件，原行星轮系中的行星架成为转化轮系的机架。Step 4: Add an additional rotation equal to and opposite to the angular velocity of the planetary gear train to the planetary gear train to obtain the transformed gear train. The rack in the original planetary gear train becomes the active component of the transformed gear train. Become the rack that transforms the wheel train.
步骤5：绘制转化轮系功率流图，转化轮系中的构件用阿拉伯数字表示，齿轮副用和符号表示，功率流值不为0的构件之间的功率流方向用带箭头的实线表示，功率流值在实线上进行标注，功率流值为0的构件之间用实线连接，0值在实线上进行标注，输入功率经过中心轮一，经过中心轮一与行星轮一组成的齿轮副，经过行星轮一(行星轮二)，经过行星轮二与中心轮二组成的齿轮副，经过中心轮二，输出转化轮系，最终形成转化轮系功率流。转化轮系功率流图如图4所示，图4中符号表示：1、中心轮一，2、行星轮一，3、行星轮二，4、中心轮二，H、行星架，中心轮一与行星轮一组成的齿轮副，行星轮二与中心轮二组成的齿轮副。Step 5: Draw the power flow diagram of the converted gear train, the components in the converted gear train are represented by Arabic numerals, and the gear pairs are represented by and The symbol indicates that the power flow direction between the components whose power flow value is not 0 is indicated by a solid line with arrows, the power flow value is marked on the solid line, and the components with a power flow value of 0 are connected by a solid line, 0 The values are marked on the solid line, the input power passes through the center gear 1, through the gear pair composed of the center gear 1 and the planetary gear 1, through the planetary gear 1 (planetary gear 2), and through the gear pair composed of the planetary gear 2 and the sun gear 2 , through the center wheel 2, output the conversion gear train, and finally form the power flow of the conversion gear train. The power flow diagram of the converted gear train is shown in Figure 4, and the symbols in Figure 4 represent: 1, center gear 1, 2, planetary gear 1, 3, planetary gear 2, 4, center gear 2, H, planet carrier, The gear pair consisting of the center gear one and the planet gear one, A gear pair formed by the second planetary gear and the second sun gear.
步骤6：使用步骤1中的中心轮一与行星轮一组成的齿轮副的啮合效率η1、行星轮二与中心轮二组成的齿轮副的啮合效率η2，步骤2中计算的行星架与行星轮的传动比iH2，通过式(2)所示的第一级齿轮副功率损失计算公式，式(3)所示的第二级齿轮副功率损失计算公式和式(4)所示的转化轮系输入功率计算公式计算得到功率流经过中心轮一与行星轮一组成的齿轮副的功率损失L1、功率流经过行星轮二与中心轮二组成的齿轮副的功率损失L2、转化轮系的输入功率PH，Step 6: Using the meshing efficiency η 1 of the gear pair consisting of the first sun gear and the first planetary gear in step 1, and the meshing efficiency η 2 of the gear pair consisting of the second planetary gear and the second sun gear, the planet carrier calculated in step 2 and The transmission ratio i H2 of the planetary gear is calculated by the formula for calculating the power loss of the first-stage gear pair shown in formula (2), the formula for calculating the power loss of the second-stage gear pair shown in formula (3) and the formula (4) Transform the input power calculation formula of the gear train to calculate the power loss L 1 of the power flow through the gear pair composed of the first center wheel and the first planetary wheel, and the power loss L 2 of the power flow through the gear pair composed of the second planetary wheel and the second sun wheel. The input power P H of the gear train,
L1＝(1-η1)PH (2)L 1 =(1-η 1 )P H (2)
式中，L1为功率流经过中心轮一与行星轮一组成的齿轮副的功率损失，PH为转化轮系的输入功率，η1为中心轮一与行星轮一组成的齿轮副的啮合效率；In the formula, L1 is the power loss of the power flow through the gear pair composed of the first center wheel and the first planetary wheel, PH is the input power of the conversion gear train, and η1 is the meshing of the gear pair composed of the first center wheel and the first planetary wheel efficiency;
L2＝η1(1-η2)PH (3)L 2 =η 1 (1-η 2 )P H (3)
式中，L2为功率流经过行星轮二与中心轮二组成的齿轮副的功率损失，PH为转化轮系的输入功率，η1为中心轮一与行星轮一组成的齿轮副的啮合效率，η2为行星轮二与中心轮二组成的齿轮副的啮合效率；In the formula, L2 is the power loss of power flow through the gear pair composed of planetary gear 2 and sun gear 2, PH is the input power of the conversion gear train, η1 is the meshing of the gear pair composed of sun gear 1 and planetary gear 1 Efficiency, η 2 is the meshing efficiency of the gear pair that planetary wheel two and center wheel two form;
PH＝(1-iH2)(P-L1-L2)+L1 (4)P H ＝(1-i H2 )(PL 1 -L 2 )+L 1 (4)
式中，PH为转化轮系的输入功率，iH2为行星架与行星轮的传动比，L1为功率流经过中心轮一与行星轮一组成的齿轮副的功率损失，L2为功率流经过行星轮二与中心轮二组成的齿轮副的功率损失。In the formula, P H is the input power of the conversion gear train, i H2 is the transmission ratio between the planet carrier and the planetary gear, L 1 is the power loss of the power flow through the gear pair composed of the center gear 1 and the planetary gear 1, and L 2 is the power The power loss flowing through the gear pair consisting of planetary gear 2 and sun gear 2.
步骤7：使用步骤1中输入功率P、步骤6中计算的功率流经过中心轮一与行星轮一组成的齿轮副的功率损失L1、功率流经过行星轮二与中心轮二组成的齿轮副的功率损失L2，通过式(5)所示的行星轮系传动效率计算公式，计算得到行星轮系的传动效率η，Step 7: Use the input power P in step 1, the power loss L 1 of the power flow calculated in step 6 through the gear pair composed of the first sun gear and the first planetary gear, and the power flow through the gear pair composed of the second planetary gear and the second sun gear The power loss L 2 of the planetary gear train is calculated through the formula (5) to calculate the transmission efficiency η of the planetary gear train,
式中，η为行星轮系的传动效率，P为输入功率，L1为功率流经过中心轮一与行星轮一组成的齿轮副的功率损失，L2为功率流经过行星轮二与中心轮二组成的齿轮副的功率损失。In the formula, η is the transmission efficiency of the planetary gear train, P is the input power, L1 is the power loss of the gear pair formed by the power flow through the first sun gear and the first planetary gear, and L2 is the power flow through the second planetary gear and the sun gear. The power loss of the two-component gear pair.
行星架与行星轮的传动比iH2、功率流经过中心轮一与行星轮一组成的齿轮副的功率损失L1、功率流经过行星轮二与中心轮二组成的齿轮副的功率损失L2、转化轮系的输入功率PH、行星轮系的传动效率η的计算结果如表2所示。The transmission ratio i H2 between the planetary carrier and the planetary gear, the power loss L 1 of the power flow through the gear pair composed of the first sun gear and the first planetary gear, and the power loss L 2 of the power flow through the gear pair composed of the second planetary gear and the second sun gear , the input power PH of the conversion gear train, and the calculation results of the transmission efficiency η of the planetary gear train are shown in Table 2.
表2Table 2
本发明根据行星轮系的结构，计算行星架与行星轮的传动比，绘制行星轮系的功率流图，绘制转化轮系的功率流图，计算功率流经过齿轮副的功率损失和转化轮系的输入功率，计算行星轮系的传动效率。本发明可快速简便计算行星轮系传动效率，计算方法简单，大大提高了计算的效率和准确性，其实施的有益效果也是显而易见的。According to the structure of the planetary gear train, the present invention calculates the transmission ratio between the planet carrier and the planetary gear, draws the power flow diagram of the planetary gear train, draws the power flow diagram of the converted gear train, calculates the power loss of the power flow through the gear pair and converts the gear train The input power is used to calculate the transmission efficiency of the planetary gear train. The invention can quickly and easily calculate the transmission efficiency of the planetary gear train, has a simple calculation method, greatly improves the calculation efficiency and accuracy, and has obvious beneficial effects.
以上所述只是本发明的优选实施方式，对于本技术领域的普通技术人员来说，在不脱离本发明原理的前提下，还可以做出若干改进和润饰，这些改进和润饰也被视为本发明的保护范围。The above is only a preferred embodiment of the present invention. For those of ordinary skill in the art, without departing from the principle of the present invention, some improvements and modifications can also be made, and these improvements and modifications are also considered as the present invention. protection scope of the invention.
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