CN115659528A - Calculation method and device for minimum interference of vibration damping ring - Google Patents
Calculation method and device for minimum interference of vibration damping ring Download PDFInfo
- Publication number
- CN115659528A CN115659528A CN202211191994.0A CN202211191994A CN115659528A CN 115659528 A CN115659528 A CN 115659528A CN 202211191994 A CN202211191994 A CN 202211191994A CN 115659528 A CN115659528 A CN 115659528A
- Authority
- CN
- China
- Prior art keywords
- damping ring
- vibration damping
- normal pressure
- minimum interference
- calculating
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Images
Classifications
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Landscapes
- Vibration Prevention Devices (AREA)
Abstract
本申请提供了一种减振环最小过盈量计算方法及装置，所述方法通过分析安装槽与减振环的实际接触情况，从而确定在不同转速下减振环与安装槽之间的实际接触区域，不再默认为安装槽与减振环为整圆接触，贴近实际工况，计算出防止减振环周向滑动的最小过盈量，减少减振环过盈量计算误差，所得最小过盈量既能够使发动机快速启动时避免与减振环发生相对滑动，同时，所述最小过盈量不会减小减振环与安装槽之间的接触区域，从而确保了减振环的减振效果，从而提高减振环耗能计算的精度，满足航空发动机齿轮减振降噪的需求。
The application provides a method and device for calculating the minimum interference of a vibration damping ring. The method determines the actual contact between the vibration damping ring and the mounting groove at different speeds by analyzing the actual contact between the mounting groove and the vibration damping ring. The contact area is no longer defaulted to be a full-circle contact between the installation groove and the damping ring, which is close to the actual working condition, and the minimum interference amount to prevent the circumferential sliding of the vibration damping ring is calculated to reduce the calculation error of the vibration damping ring interference amount, and the result is the smallest The interference can not only prevent the engine from sliding relative to the vibration damping ring when the engine starts quickly, but at the same time, the minimum interference will not reduce the contact area between the vibration damping ring and the installation groove, thereby ensuring the vibration damping ring. The vibration reduction effect can improve the accuracy of the energy consumption calculation of the vibration reduction ring, and meet the needs of aero-engine gear vibration reduction and noise reduction.
Description
技术领域technical field
本申请涉及航空发动机技术领域，特别地，涉及一种减振环最小过盈量计算方法及装置。The present application relates to the technical field of aero-engines, in particular to a method and device for calculating the minimum interference of a damping ring.
背景技术Background technique
减振环是用于航空发动机齿轮减振降噪的重要手段。而减振环的过盈量是减振环设计中重要参数，过盈量偏小，会导致发动机快速启动时与减振环发生相对滑动，从而破坏原来齿轮的动平衡，增加齿轮系统的动不平衡量，从而加大齿轮发生共振破坏的风险，而过盈量过大，则会减小减振环与安装槽之间的接触区域，从而降低减振环的减振效果，因此，如何合理的设计减振环的过盈量是减振环设计中的重要一个环节。The vibration damping ring is an important means for vibration reduction and noise reduction of aero-engine gears. The interference of the damping ring is an important parameter in the design of the damping ring. If the interference is too small, it will cause the engine to slide relative to the damping ring when the engine starts quickly, thereby destroying the dynamic balance of the original gear and increasing the dynamics of the gear system. The unbalanced amount will increase the risk of gear resonance damage, and the excessive interference will reduce the contact area between the vibration damping ring and the installation groove, thereby reducing the vibration damping effect of the vibration damping ring. Therefore, how reasonable Design The interference of the damping ring is an important link in the design of the damping ring.
另外，由于自由状态下正圆形减振环的直径大于安装槽的直径，则在正圆形减振环在安装至正圆形槽内时正圆形减振环与安装槽不可能完全接触，若正圆形减振环与安装槽一起转动时，随着离心力的增加，接触区域会发生变化。现有的计算方法为了简化，均将两者默认是完全接触的，这样会对使得在分析问题时带来比较大的计算误差。In addition, since the diameter of the perfect circular vibration damping ring is larger than the diameter of the installation groove in the free state, it is impossible for the perfect circular vibration damping ring to be in full contact with the installation groove when the perfect circular vibration damping ring is installed in the perfect circular groove , if the circular damping ring rotates with the mounting groove, the contact area will change as the centrifugal force increases. In order to simplify the existing calculation methods, the two are fully contacted by default, which will bring relatively large calculation errors when analyzing the problem.
发明内容Contents of the invention
本申请提供了一种减振环最小过盈量计算方法，以解决现有减振环过盈量计算误差大、难以同时满足动平衡和减振环减振效果的技术问题。The present application provides a method for calculating the minimum interference of the vibration damping ring, so as to solve the technical problems that the calculation error of the interference of the existing vibration damping ring is large, and it is difficult to satisfy the dynamic balance and the vibration reduction effect of the vibration damping ring at the same time.
本申请采用的技术方案如下：The technical scheme that this application adopts is as follows:
一种减振环最小过盈量计算方法，包括步骤：A method for calculating the minimum interference of a vibration damping ring, comprising the steps of:
S1、根据发动机起动规律，计算得出发动机起动过程中的最大角加速度；S1. According to the engine starting rule, calculate the maximum angular acceleration during the engine starting process;
S2、分别计算减振环装入安装槽后单位面积上的法向压力、减振环由离心力引起的单位面积上的法向压力；S2. Calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove, and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
S3、根据减振环装入安装槽后的法向压力和减振环由离心力引起的单位面积上的法向压力计算减振环与安装槽的临界接触角；S3. Calculate the critical contact angle between the damping ring and the mounting groove according to the normal pressure after the damping ring is installed in the mounting groove and the normal pressure per unit area of the vibration damping ring caused by centrifugal force;
S4、根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸分别计算安装状态下开口位置的集中力和安装状态下接触区域与非接触区域分界位置的集中力；S4. According to the friction coefficient of the damping ring, the critical contact angle, the normal pressure after the damping ring is installed in the installation groove, and the size of the damping ring, calculate the concentrated force at the opening position under the installation state and the contact area and non-contact area under the installation state. The concentration of force at the location of the regional boundary;
S5、计算由减振环装入安装槽后的法向压力、安装状态下开口位置的集中力、安装状态下接触区域与非接触区域分界位置的集中力产生的摩擦力；S5. Calculate the friction force generated by the normal pressure after the damping ring is installed in the installation groove, the concentrated force at the opening position in the installed state, and the concentrated force at the boundary position between the contact area and the non-contact area in the installed state;
S6、根据防止减振环在发动机起动过程中周向滑动时所述摩擦力所需满足的条件计算得到减振环的最小过盈量。S6. Calculate and obtain the minimum interference of the vibration damping ring according to the condition that the friction force needs to satisfy when preventing the vibration damping ring from sliding circumferentially during the starting process of the engine.
进一步地，所述步骤S1中，发动机起动过程中的最大角加速度α为：Further, in the step S1, the maximum angular acceleration α during engine starting is:
其中，Tmax为起动机在发动机起动过程中输出的最大扭矩，J为发动机转子的转动惯量。Among them, T max is the maximum torque output by the starter during engine starting, and J is the moment of inertia of the engine rotor.
进一步地，步骤S2中，计算减振环装入安装槽后单位面积上的法向压力，具体包括步骤：Further, in step S2, calculate the normal pressure per unit area after the damping ring is installed in the installation groove, specifically including steps:
假设过盈量为Δu，则减振环装入安装槽后单位面积上的法向压力p0为：Assuming that the interference is Δu, the normal pressure p 0 per unit area after the damping ring is installed in the installation groove is:
其中，E为减振环的材料弹性模量，I为减振环的截面惯性矩，b为减振环轴向宽度，r为减振环的中性线半径。Among them, E is the elastic modulus of the material of the damping ring, I is the moment of inertia of the section of the damping ring, b is the axial width of the damping ring, and r is the neutral line radius of the damping ring.
进一步地，步骤S2中，计算减振环由离心力引起的单位面积上的法向压力p1，具体包括步骤：Further, in step S2, calculate the normal pressure p 1 per unit area of the vibration damping ring caused by the centrifugal force, specifically including steps:
其中，m为减振环质量，v为线速度，r1为减振环的外轮廓半径。Among them, m is the mass of the vibration damping ring, v is the linear velocity, r 1 is the outer contour radius of the vibration damping ring.
进一步地，步骤S3中，根据减振环装入安装槽后的法向压力和减振环由离心力引起的单位面积上的法向压力计算减振环与安装槽的临界接触角θ0时，根据下列公式计算:Further, in step S3, when calculating the critical contact angle θ of the vibration damping ring and the installation groove according to the normal pressure after the vibration damping ring is installed in the installation groove and the normal pressure on the unit area caused by the centrifugal force of the vibration damping ring, Calculated according to the following formula:
进一步地，步骤S4中，根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸计算安装状态下开口位置的集中力Q1具体为：Further, in step S4, according to the friction coefficient of the damping ring, the critical contact angle, the normal pressure after the damping ring is installed in the installation groove, and the size of the damping ring, the concentrated force Q1 at the opening position in the installed state is calculated as follows:
其中，μ为减振环的摩擦系数。Among them, μ is the friction coefficient of the damping ring.
进一步地，步骤S4中，根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸计算安装状态下接触区域与非接触区域分界位置的集中力Q2具体为：Further, in step S4, according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring, the concentration of the boundary position between the contact area and the non-contact area in the installed state is calculated The force Q2 is specifically:
进一步地，步骤S5中，所述摩擦力Tf具体计算过程包括：Further, in step S5, the specific calculation process of the friction force Tf includes:
进一步地，步骤S6中，根据防止减振环在发动机起动过程中周向滑动时所述摩擦力所需满足的条件计算得到减振环的最小过盈量，具体包括步骤：Further, in step S6, the minimum interference of the vibration damping ring is calculated according to the condition that the friction force needs to satisfy when the vibration damping ring is prevented from sliding circumferentially during the engine starting process, specifically including steps:
计算防止减振环在发动机起动过程中周向滑动，则需满足：To calculate and prevent the vibration damping ring from slipping in the circumferential direction during the engine starting process, it is necessary to meet:
Tf≥mαr2 T f ≥ mαr 2
可得：Available:
因此减振环的最小过盈量Δumin为：Therefore, the minimum interference Δu min of the damping ring is:
本申请另一方面还提供了一种减振环最小过盈量计算装置，包括：Another aspect of the present application also provides a calculation device for the minimum interference of the damping ring, including:
最大角加速度计算模块，用于根据发动机起动规律，计算得出发动机起动过程中的最大角加速度；The maximum angular acceleration calculation module is used to calculate the maximum angular acceleration during the engine starting process according to the engine starting rule;
法向压力计算模块，用于分别计算减振环装入安装槽后单位面积上的法向压力、减振环由离心力引起的单位面积上的法向压力；The normal pressure calculation module is used to calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove, and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
临界接触角计算模块，用于根据减振环装入安装槽后的法向压力和减振环由离心力引起的单位面积上的法向压力计算减振环与安装槽的临界接触角；The critical contact angle calculation module is used to calculate the critical contact angle between the vibration damping ring and the installation groove according to the normal pressure after the vibration damping ring is installed in the installation groove and the normal pressure per unit area of the vibration damping ring caused by centrifugal force;
集中力计算模块，用于根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸分别计算安装状态下开口位置的集中力和安装状态下接触区域与非接触区域分界位置的集中力；The concentrated force calculation module is used to calculate the concentrated force at the opening position in the installation state and the concentration force in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. Concentrated force at the boundary between the contact area and the non-contact area;
摩擦力计算模块，用于计算由减振环装入安装槽后的法向压力、安装状态下开口位置的集中力、安装状态下接触区域与非接触区域分界位置的集中力产生的摩擦力；The friction force calculation module is used to calculate the friction force generated by the normal pressure after the damping ring is installed in the installation groove, the concentrated force at the opening position in the installed state, and the concentrated force at the boundary position between the contact area and the non-contact area in the installed state;
最小过盈量计算模块，用于根据防止减振环在发动机起动过程中周向滑动时所述摩擦力所需满足的条件计算得到减振环的最小过盈量。The minimum interference amount calculation module is used to calculate the minimum interference amount of the vibration damping ring according to the conditions that the friction force needs to satisfy when the vibration damping ring is prevented from sliding in the circumferential direction during the starting process of the engine.
本申请另一方面还提供了一种电子设备，包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序，所述处理器执行所述程序时实现所述减振环最小过盈量计算方法的步骤。Another aspect of the present application also provides an electronic device, including a memory, a processor, and a computer program stored on the memory and operable on the processor. When the processor executes the program, the vibration damping ring is minimized. The steps of the interference calculation method.
本申请另一方面还提供了一种存储介质，所述存储介质包括存储的程序，在所述程序运行时控制所述存储介质所在的设备执行所述的减振环最小过盈量计算方法的步骤。Another aspect of the present application also provides a storage medium, the storage medium includes a stored program, and when the program is running, the device where the storage medium is located is controlled to execute the method for calculating the minimum interference of the damping ring step.
相比现有技术，本申请具有以下有益效果：Compared with the prior art, the present application has the following beneficial effects:
本申请提供了一种减振环最小过盈量计算方法及装置，所述方法通过安装槽与减振环的实际接触分析，从而确定在不同转速下减振环与安装槽之间的实际接触区域，不再默认为安装槽与减振环为整圆接触，贴近实际工况，计算出防止减振环周向滑动的最小过盈量，减少减振环过盈量计算误差，所得最小过盈量既能够使发动机快速启动时避免与减振环发生相对滑动，同时，所述最小过盈量不会减小减振环与安装槽之间的接触区域，从而确保了减振环的减振效果，从而提高减振环耗能计算的精度，满足航空发动机齿轮减振降噪的需求。The application provides a method and device for calculating the minimum interference of the vibration damping ring. The method analyzes the actual contact between the mounting groove and the vibration damping ring to determine the actual contact between the vibration damping ring and the mounting groove at different speeds. area, it is no longer the default that the installation groove and the vibration damping ring are in full circle contact, close to the actual working conditions, calculate the minimum interference to prevent the vibration damping ring from sliding in the circumferential direction, reduce the calculation error of the vibration damping ring interference, and obtain the minimum The excess amount can prevent the relative sliding with the vibration damping ring when the engine starts quickly, and at the same time, the minimum interference amount will not reduce the contact area between the vibration damping ring and the installation groove, thus ensuring the vibration damping ring. The vibration effect can be improved, thereby improving the accuracy of the energy consumption calculation of the vibration damping ring, and meeting the needs of aero-engine gear vibration and noise reduction.
除了上面所描述的目的、特征和优点之外，本申请还有其它的目的、特征和优点。下面将参照附图，对本申请作进一步详细的说明。In addition to the objects, features and advantages described above, the present application has other objects, features and advantages. The application will be described in further detail below with reference to the accompanying drawings.
附图说明Description of drawings
构成本申请的一部分的附图用来提供对本申请的进一步理解，本申请的示意性实施例及其说明用于解释本申请，并不构成对本申请的不当限定。在附图中：The drawings constituting a part of the application are used to provide further understanding of the application, and the schematic embodiments and descriptions of the application are used to explain the application, and do not constitute an improper limitation to the application. In the attached picture:
图1是本申请优选实施例的减振环最小过盈量计算方法流程示意图。Fig. 1 is a schematic flowchart of a method for calculating the minimum interference of a damping ring in a preferred embodiment of the present application.
图2是本申请优选实施例的减振环在自然状态下的结构示意图。Fig. 2 is a schematic structural view of the vibration damping ring in a preferred embodiment of the present application in a natural state.
图3是本申请优选实施例的减振环装入安装槽后下的结构示意图。Fig. 3 is a schematic diagram of the structure of the damping ring in the preferred embodiment of the present application after it is installed in the installation groove.
图4是本申请优选实施例的减振环装入安装槽后下的受力示意图。Fig. 4 is a schematic diagram of the stress on the damping ring in the preferred embodiment of the present application after it is installed in the installation groove.
图5是本申请优选实施例的减振环最小过盈量计算装置模块示意图。Fig. 5 is a schematic diagram of the modules of the calculation device for the minimum interference of the damping ring in the preferred embodiment of the present application.
图6是本申请优选实施例的电子设备实体示意框图。Fig. 6 is a schematic block diagram of an electronic device entity in a preferred embodiment of the present application.
图7是本申请优选实施例的计算机设备的内部结构图。Fig. 7 is an internal structure diagram of a computer device in a preferred embodiment of the present application.
具体实施方式Detailed ways
需要说明的是，在不冲突的情况下，本申请中的实施例及实施例中的特征可以相互组合。下面将参考附图并结合实施例来详细说明本申请。It should be noted that, in the case of no conflict, the embodiments in the present application and the features in the embodiments can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and embodiments.
参照图1，本申请的优选实施例提供了一种减振环最小过盈量计算方法，包括步骤：Referring to Fig. 1, the preferred embodiment of the present application provides a method for calculating the minimum interference of the damping ring, including steps:
S1、根据发动机起动规律，计算得出发动机起动过程中的最大角加速度；S1. According to the engine starting rule, calculate the maximum angular acceleration during the engine starting process;
S2、分别计算减振环装入安装槽后单位面积上的法向压力、减振环由离心力引起的单位面积上的法向压力；S2. Calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove, and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
S3、根据减振环装入安装槽后的法向压力和减振环由离心力引起的单位面积上的法向压力计算减振环与安装槽的临界接触角；S3. Calculate the critical contact angle between the damping ring and the mounting groove according to the normal pressure after the damping ring is installed in the mounting groove and the normal pressure per unit area of the vibration damping ring caused by centrifugal force;
S4、根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸分别计算安装状态下开口位置的集中力和安装状态下接触区域与非接触区域分界位置的集中力；S4. According to the friction coefficient of the damping ring, the critical contact angle, the normal pressure after the damping ring is installed in the installation groove, and the size of the damping ring, calculate the concentrated force at the opening position under the installation state and the contact area and non-contact area under the installation state. The concentration of force at the location of the regional boundary;
S5、计算由减振环装入安装槽后的法向压力、安装状态下开口位置的集中力、安装状态下接触区域与非接触区域分界位置的集中力产生的摩擦力；S5. Calculate the friction force generated by the normal pressure after the damping ring is installed in the installation groove, the concentrated force at the opening position in the installed state, and the concentrated force at the boundary position between the contact area and the non-contact area in the installed state;
S6、根据防止减振环在发动机起动过程中周向滑动时所述摩擦力所需满足的条件计算得到减振环的最小过盈量。S6. Calculate and obtain the minimum interference of the vibration damping ring according to the condition that the friction force needs to satisfy when preventing the vibration damping ring from sliding circumferentially during the starting process of the engine.
本实施例提供了一种减振环最小过盈量计算方法，所述方法通过安装槽与减振环的实际接触分析，可以确定在不同转速下减振环与安装槽之间的实际接触区域，不再默认为安装槽与减振环为整圆接触，贴近实际工况，计算出防止减振环周向滑动的最小过盈量，减少减振环过盈量计算误差，过盈量的设计需要考虑一下几个问题：This embodiment provides a method for calculating the minimum interference of the vibration damping ring, which can determine the actual contact area between the vibration damping ring and the installation groove at different speeds through the actual contact analysis between the installation groove and the vibration damping ring , it is no longer the default that the installation groove and the vibration damping ring are in full circle contact, close to the actual working conditions, calculate the minimum interference amount to prevent the vibration damping ring from sliding in the circumferential direction, reduce the calculation error of the vibration damping ring interference amount, and the interference amount The design needs to consider several issues:
减振环如果在工作过程中出现与齿轮沿周向发生相对滑动的情况，会导致齿轮的动平衡发生破坏，从而可能会造成齿轮振动过大，影响发动机正常工作。而航空发动机起动过程中加速度非常大，这种时候减振环与齿轮之间很容易出现相对滑动，而抑制滑动主要靠两者之间的摩擦力，这摩擦力大小很大程度上取决于过盈量的大小，过盈量小了，摩擦力就会小，从而易产生相对滑动；If the damping ring slips relative to the gear along the circumferential direction during the working process, the dynamic balance of the gear will be damaged, which may cause excessive vibration of the gear and affect the normal operation of the engine. However, during the starting process of an aero-engine, the acceleration is very high. At this time, relative slippage is likely to occur between the vibration damping ring and the gear, and the suppression of slippage mainly depends on the friction force between the two. The size of the surplus, if the interference is small, the friction will be small, so it is easy to produce relative sliding;
2)计算减振环与安装槽的临界接触角θ0(接触区域与非接触区域的分界处。2) Calculate the critical contact angle θ 0 of the damping ring and the installation groove (the boundary between the contact area and the non-contact area.
3)齿轮在结构定了之后，其固有模态就确定了，因此其共振转速就确定了，因此，在某一阶振型下其由离心力引起的单位面积上的法向压力P1就确定了，而θ0这时随P0的增大而增大，也就意味着，过盈量增大虽然能够避免因相对滑动而破坏动平衡，但也会减小减振环与齿轮的接触区域，减振环减振是靠与齿轮之间的相互微动摩擦消耗振动能量，不接触也就以为这失去了摩擦耗能的能力，因此，过盈量过大就会降低减振环的减振效果。3) After the structure of the gear is determined, its natural mode is determined, so its resonance speed is determined. Therefore, the normal pressure P 1 per unit area caused by centrifugal force is determined under a certain vibration mode , and θ 0 increases with the increase of P 0 at this time, which means that although the increase of interference can avoid breaking the dynamic balance due to relative sliding, it will also reduce the contact between the vibration damping ring and the gear In the region, the vibration reduction of the vibration damping ring depends on the mutual fretting friction between the gear and the gear to consume vibration energy. If there is no contact, it means that it loses the ability of frictional energy consumption. Therefore, if the interference is too large, the performance of the vibration damping ring will be reduced. Vibration reduction effect.
因此，过盈量不是越大越好，而是应该是在满足起动不滑动的基础上，越小越好；Therefore, the amount of interference is not the bigger the better, but the smaller the better on the basis of satisfying the non-slip start;
最小过盈量的确定也需要获得准确地接触区域，用于准确计算由过盈产生的摩擦力(起动过程中最大起动加速度基本就是刚起动的瞬间，这是转速几乎为0，因此P1可以认为是0，摩擦力完全由过盈产生的预紧力生成)。The determination of the minimum interference also needs to obtain an accurate contact area, which is used to accurately calculate the friction force generated by the interference (the maximum starting acceleration during the starting process is basically the moment of starting, which is that the speed is almost 0, so P 1 can Considered to be 0, the friction force is completely generated by the preload generated by the interference).
本实施例所得最小过盈量充分考虑了减振环的实际工况，既能够使发动机快速启动时避免与减振环发生相对滑动，确保不会破坏原来齿轮的动平衡，避免增加齿轮系统的动不平衡量，从而减少了齿轮发生共振破坏的风险；同时，所述最小过盈量不会减小减振环与安装槽之间的接触区域，确保了减振环的减振效果，从而提高减振环耗能计算的精度，一举两得，有效满足航空发动机齿轮减振降噪的需求。The minimum interference obtained in this embodiment fully considers the actual working conditions of the damping ring, which can prevent the engine from sliding relative to the damping ring when the engine starts quickly, ensure that the dynamic balance of the original gear will not be damaged, and avoid increasing the gear system. Dynamic unbalance, thereby reducing the risk of gear resonance damage; at the same time, the minimum interference will not reduce the contact area between the vibration damping ring and the installation groove, ensuring the vibration damping effect of the vibration damping ring, thereby improving The accuracy of the energy consumption calculation of the damping ring kills two birds with one stone, effectively meeting the needs of aero-engine gears for vibration and noise reduction.
具体地，所述步骤S1中，发动机起动过程中的最大角加速度α为：Specifically, in the step S1, the maximum angular acceleration α during engine starting is:
其中，Tmax为起动机在发动机起动过程中输出的最大扭矩，J为发动机转子的转动惯量。Among them, T max is the maximum torque output by the starter during engine starting, and J is the moment of inertia of the engine rotor.
具体地，步骤S2中，计算减振环装入安装槽后单位面积上的法向压力，具体包括步骤：Specifically, in step S2, the normal pressure per unit area after the damping ring is installed in the installation groove is calculated, specifically including steps:
假设过盈量为Δu，则减振环装入安装槽后单位面积上的法向压力p0为：Assuming that the interference is Δu, the normal pressure p 0 per unit area after the damping ring is installed in the installation groove is:
其中，E为减振环的材料弹性模量，I为减振环的截面惯性矩，b为减振环轴向宽度，r为减振环的中性线半径。Among them, E is the elastic modulus of the material of the damping ring, I is the moment of inertia of the section of the damping ring, b is the axial width of the damping ring, and r is the neutral line radius of the damping ring.
具体地，步骤S2中，计算减振环由离心力引起的单位面积上的法向压力p1，具体包括步骤：Specifically, in step S2, calculate the normal pressure p 1 per unit area of the damping ring caused by the centrifugal force, specifically including steps:
其中，m为减振环质量，v为线速度，r1为减振环的外轮廓半径。Among them, m is the mass of the vibration damping ring, v is the linear velocity, r 1 is the outer contour radius of the vibration damping ring.
具体地，步骤S3中，根据减振环装入安装槽后的法向压力和减振环由离心力引起的单位面积上的法向压力计算减振环与安装槽的临界接触角θ0时，根据下列公式计算:Specifically, in step S3, when calculating the critical contact angle θ between the vibration damping ring and the mounting groove according to the normal pressure after the vibration damping ring is installed in the mounting groove and the normal pressure per unit area of the vibration damping ring caused by centrifugal force, Calculated according to the following formula:
具体地，如图4所示，步骤S4中，根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸计算安装状态下开口位置的集中力Q1具体为：Specifically, as shown in Figure 4, in step S4, according to the friction coefficient of the damping ring, the critical contact angle, the normal pressure after the damping ring is installed in the installation groove, and the size of the damping ring, the concentration of the opening position in the installed state is calculated The force Q 1 is specifically:
其中，μ为减振环的摩擦系数。Among them, μ is the friction coefficient of the damping ring.
具体地，如图4所示，步骤S4中，根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸计算安装状态下接触区域与非接触区域分界位置的集中力Q2具体为：Specifically, as shown in Figure 4, in step S4, according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after it is installed in the installation groove, and the size of the vibration damping ring, the relationship between the contact area and the non-contact area in the installed state is calculated. The concentrated force Q2 at the boundary position of the contact area is specifically:
具体地，步骤S5中，所述摩擦力Tf具体计算过程包括：Specifically, in step S5, the specific calculation process of the friction force Tf includes:
具体地，步骤S6中，根据防止减振环在发动机起动过程中周向滑动时所述摩擦力所需满足的条件计算得到减振环的最小过盈量，具体包括步骤：Specifically, in step S6, the minimum interference of the vibration damping ring is calculated according to the condition that the friction force needs to satisfy when the vibration damping ring is prevented from sliding circumferentially during the engine starting process, specifically including steps:
计算防止减振环在发动机起动过程中周向滑动，则需满足：To calculate and prevent the vibration damping ring from slipping in the circumferential direction during the engine starting process, it is necessary to meet:
Tf≥mαr2 T f ≥ mαr 2
可得：Available:
因此减振环的最小过盈量Δumin为：Therefore, the minimum interference Δu min of the damping ring is:
如图5所示，本申请另一优选实施例还提供了一种减振环最小过盈量计算装置，包括：As shown in Figure 5, another preferred embodiment of the present application also provides a calculation device for the minimum interference of the damping ring, including:
最大角加速度计算模块，用于根据发动机起动规律，计算得出发动机起动过程中的最大角加速度；The maximum angular acceleration calculation module is used to calculate the maximum angular acceleration during the engine starting process according to the engine starting rule;
法向压力计算模块，用于分别计算减振环装入安装槽后单位面积上的法向压力、减振环由离心力引起的单位面积上的法向压力；The normal pressure calculation module is used to calculate the normal pressure per unit area after the vibration damping ring is installed in the installation groove, and the normal pressure per unit area caused by the centrifugal force of the vibration damping ring;
临界接触角计算模块，用于根据减振环装入安装槽后的法向压力和减振环由离心力引起的单位面积上的法向压力计算减振环与安装槽的临界接触角；The critical contact angle calculation module is used to calculate the critical contact angle between the vibration damping ring and the installation groove according to the normal pressure after the vibration damping ring is installed in the installation groove and the normal pressure per unit area of the vibration damping ring caused by centrifugal force;
集中力计算模块，用于根据减振环的摩擦系数、临界接触角、减振环装入安装槽后的法向压力、减振环尺寸分别计算安装状态下开口位置的集中力和安装状态下接触区域与非接触区域分界位置的集中力；The concentrated force calculation module is used to calculate the concentrated force at the opening position in the installation state and the concentration force in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure after the vibration damping ring is installed in the installation groove, and the size of the vibration damping ring. Concentrated force at the boundary between the contact area and the non-contact area;
摩擦力计算模块，用于计算由减振环装入安装槽后的法向压力、安装状态下开口位置的集中力、安装状态下接触区域与非接触区域分界位置的集中力产生的摩擦力；The friction force calculation module is used to calculate the friction force generated by the normal pressure after the damping ring is installed in the installation groove, the concentrated force at the opening position in the installed state, and the concentrated force at the boundary position between the contact area and the non-contact area in the installed state;
最小过盈量计算模块，用于根据防止减振环在发动机起动过程中周向滑动时所述摩擦力所需满足的条件计算得到减振环的最小过盈量。The minimum interference amount calculation module is used to calculate the minimum interference amount of the vibration damping ring according to the conditions that the friction force needs to satisfy when the vibration damping ring is prevented from sliding in the circumferential direction during the starting process of the engine.
如图6所示，本申请的另一优选实施例还提供了一种电子设备，包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序，所述处理器执行所述程序时实现上述实施例中的减振环最小过盈量计算方法的步骤。As shown in Figure 6, another preferred embodiment of the present application also provides an electronic device, including a memory, a processor, and a computer program stored on the memory and operable on the processor, the processor executes the The program is the step of realizing the method for calculating the minimum interference of the damping ring in the above embodiment.
如图7所示，本申请的另一优选实施例还提供了一种计算机设备，该计算机设备可以是终端或活体检测服务器，其内部结构图可以如图7所示。该计算机设备包括通过系统总线连接的处理器、存储器和网络接口。其中，该计算机设备的处理器用于提供计算和控制能力。该计算机设备的存储器包括非易失性存储介质、内存储器。该非易失性存储介质存储有操作系统和计算机程序。该内存储器为非易失性存储介质中的操作系统和计算机程序的运行提供环境。该计算机设备的网络接口用于与外部的其他计算机设备通过网络连接通信。该计算机程序被处理器执行时以实现上述减振环最小过盈量计算方法的步骤。As shown in FIG. 7 , another preferred embodiment of the present application also provides a computer device, which may be a terminal or a living body detection server, and its internal structure may be shown in FIG. 7 . The computer device includes a processor, memory and a network interface connected by a system bus. Wherein, the processor of the computer device is used to provide calculation and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and computer programs. The internal memory provides an environment for the operation of the operating system and computer programs in the non-volatile storage medium. The network interface of the computer device is used to communicate with other external computer devices through a network connection. When the computer program is executed by the processor, the steps in the method for calculating the minimum interference of the damping ring are realized.
本领域技术人员可以理解，图7中示出的结构，仅仅是与本申请方案相关的部分结构的框图，并不构成对本申请方案所应用于其上的计算机设备的限定，具体的计算机设备可以包括比图中所示更多或更少的部件，或者组合某些部件，或者具有不同的部件布置。Those skilled in the art can understand that the structure shown in Figure 7 is only a block diagram of a part of the structure related to the solution of this application, and does not constitute a limitation to the computer equipment on which the solution of this application is applied. The specific computer equipment can be More or fewer components than shown in the figures may be included, or some components may be combined, or have a different arrangement of components.
本申请的另一优选实施例还提供了一种存储介质，所述存储介质包括存储的程序，在所述程序运行时控制所述存储介质所在的设备执行上述实施例中的减振环最小过盈量计算方法的步骤。Another preferred embodiment of the present application also provides a storage medium, the storage medium includes a stored program, and when the program is running, the device where the storage medium is located is controlled to execute the vibration damping ring minimum process in the above embodiment. Steps in the margin calculation method.
需要说明的是，在附图的流程图示出的步骤可以在诸如一组计算机可执行指令的计算机系统中执行，并且，虽然在流程图中示出了逻辑顺序，但是在某些情况下，可以以不同于此处的顺序执行所示出或描述的步骤。It should be noted that the steps shown in the flowcharts of the accompanying drawings may be performed in a computer system, such as a set of computer-executable instructions, and that although a logical order is shown in the flowcharts, in some cases, The steps shown or described may be performed in an order different than here.
本实施例方法所述功能若以软件功能单元的形式实现并作为独立的产品销售或使用时，可以存储在一个或者多个计算设备可读取存储介质中。基于这样的理解，本申请实施例对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来，该软件产品存储在一个存储介质中，包括若干指令用以使得一台计算设备(可以是个人计算机，服务器，移动计算设备或者网络设备等)执行本申请各个实施例所述方法的全部或部分步骤。而前述的存储介质包括：U盘、移动硬盘、只读存储器(ROM，Read-Only Memory)、随机存取存储器(RAM，Random Access Memory)，磁碟或者光盘等各种可以存储程序代码的介质。If the functions described in the methods of this embodiment are implemented in the form of software function units and sold or used as independent products, they can be stored in one or more computing device-readable storage media. Based on this understanding, the part of the embodiment of the present application that contributes to the prior art or the part of the technical solution can be embodied in the form of a software product, the software product is stored in a storage medium, and includes several instructions to make a A computing device (which may be a personal computer, a server, a mobile computing device or a network device, etc.) executes all or part of the steps of the methods described in the various embodiments of the present application. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), various media that can store program codes such as magnetic disk or optical disk. .
本领域内的技术人员应明白，本申请的实施例可提供为方法、系统、或计算机程序产品。因此，本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且，本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。本申请实施例中的方案可以采用各种计算机语言实现，例如，面向对象的程序设计语言Java和直译式脚本语言JavaScript等。Those skilled in the art should understand that the embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein. The solutions in the embodiments of the present application can be realized by using various computer languages, for example, the object-oriented programming language Java and the literal translation scripting language JavaScript.
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器，使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to flowcharts and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the present application. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中，使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品，该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上，使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理，从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.
尽管已描述了本申请的优选实施例，但本领域内的技术人员一旦得知了基本创造性概念，则可对这些实施例作出另外的变更和修改。所以，所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。While preferred embodiments of the present application have been described, additional changes and modifications to these embodiments can be made by those skilled in the art once the basic inventive concept is appreciated. Therefore, the appended claims are intended to be construed to cover the preferred embodiment and all changes and modifications which fall within the scope of the application.
显然，本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样，倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内，则本申请也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the application without departing from the spirit and scope of the application. In this way, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these modifications and variations.
Claims (10)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211191994.0A CN115659528B (en) | 2022-09-28 | 2022-09-28 | Method and device for minimum interference of vibration reduction ring |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211191994.0A CN115659528B (en) | 2022-09-28 | 2022-09-28 | Method and device for minimum interference of vibration reduction ring |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN115659528A true CN115659528A (en) | 2023-01-31 |
| CN115659528B CN115659528B (en) | 2025-05-23 |
Family
ID=84985378
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202211191994.0A Active CN115659528B (en) | 2022-09-28 | 2022-09-28 | Method and device for minimum interference of vibration reduction ring |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN115659528B (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101477587A (en) * | 2009-02-11 | 2009-07-08 | 中国科学院金属研究所 | Design method for interference magnitude of marine crankshaft hot jacket |
| US20110003527A1 (en) * | 2007-06-07 | 2011-01-06 | Furn Roberts | Figurine with Selectable Audio and Visual Perception |
| CN109598032A (en) * | 2018-11-15 | 2019-04-09 | 中国直升机设计研究所 | A kind of helicopter blade root bushing magnitude of interference determines method |
| CN110263440A (en) * | 2019-06-21 | 2019-09-20 | 安徽航瑞航空动力装备有限公司 | The design method of engine gear and axis interference fit |
| CN112560168A (en) * | 2020-11-17 | 2021-03-26 | 湖北文理学院 | Hub bearing unit interference magnitude determination method, device, equipment and storage medium |
-
2022
- 2022-09-28 CN CN202211191994.0A patent/CN115659528B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20110003527A1 (en) * | 2007-06-07 | 2011-01-06 | Furn Roberts | Figurine with Selectable Audio and Visual Perception |
| CN101477587A (en) * | 2009-02-11 | 2009-07-08 | 中国科学院金属研究所 | Design method for interference magnitude of marine crankshaft hot jacket |
| CN109598032A (en) * | 2018-11-15 | 2019-04-09 | 中国直升机设计研究所 | A kind of helicopter blade root bushing magnitude of interference determines method |
| CN110263440A (en) * | 2019-06-21 | 2019-09-20 | 安徽航瑞航空动力装备有限公司 | The design method of engine gear and axis interference fit |
| CN112560168A (en) * | 2020-11-17 | 2021-03-26 | 湖北文理学院 | Hub bearing unit interference magnitude determination method, device, equipment and storage medium |
Also Published As
| Publication number | Publication date |
|---|---|
| CN115659528B (en) | 2025-05-23 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| JP4935317B2 (en) | Vibration analysis apparatus and vibration analysis method for rotating structure | |
| JP5583455B2 (en) | System and method for providing surge protection to turbine components | |
| CN112446111B (en) | Connecting rod bolt safety checking method | |
| US20180334963A1 (en) | Systems and methods for bowed rotor start mitigation | |
| CN110929419A (en) | Fast prediction method for instability limit of steam turbine rotor system based on shroud zero damping | |
| CN105823599B (en) | Method and system for determining rotor imbalance | |
| JP2018176856A (en) | Control device for hybrid vehicle | |
| EP3152406B1 (en) | Method for dimensioning a turbomachine | |
| CN109085375B (en) | Key phase pulse signal monitoring method and device for rotary machine | |
| CN114264466A (en) | Method and device for predicting service life of vibration damper | |
| CN108223668A (en) | A kind of in parallel and outer ring dislocation resistance increasing type squeeze film damper | |
| CN115659528A (en) | Calculation method and device for minimum interference of vibration damping ring | |
| CN111441893B (en) | Split-cylinder ignition control method and system applied to engine and readable storage medium | |
| Kaneko | Study on transient vibration of mistuned bladed disk passing through resonance | |
| CN113486460B (en) | Rotor multi-blade and case fixed-point rub-impact simulation method considering deformation of case | |
| CN115750127A (en) | Control method and device, device, computer-readable storage medium | |
| CN102392828A (en) | Magnetic molecular pump rotor nutation peak vibration control method | |
| Colding-Jorgensen | Prediction of rotor dynamic destabilizing forces in axial flow compressors | |
| CN107832606B (en) | SGX-based trust chain implementation method and system | |
| CN113297698B (en) | Engine oil pump noise reduction method and device, electronic equipment and storage medium | |
| CN110307054A (en) | Method, device and system for oil pump pre-supply of engine group | |
| CN115142975A (en) | Method for determining fuel injection advance angle, controller and computer readable storage medium | |
| Kubitz et al. | LP last stage steam turbine blade vibrations due to mistuning | |
| JP2006144575A (en) | Axial flow type rotary fluid machine | |
| Novotny et al. | Effective computational model for a solution of turbocharger rotor dynamics |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |