CN115659528A - Method and device for calculating minimum interference magnitude of vibration damping ring - Google Patents
Method and device for calculating minimum interference magnitude of vibration damping ring Download PDFInfo
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Abstract
The application provides a vibration damping ring minimum interference magnitude calculation method and device, the method is through the actual contact condition of analysis mounting groove and vibration damping ring to confirm the actual contact area between vibration damping ring and the mounting groove under different rotational speeds, no longer default mounting groove and vibration damping ring are the full circle contact, press close to actual conditions, calculate the minimum interference magnitude that prevents vibration damping ring circumferential slip, reduce vibration damping ring interference magnitude calculation error, the minimum interference magnitude that obtains can enough avoid when making the engine start fast and the vibration damping ring takes place relative slip, and simultaneously, the minimum interference magnitude can not reduce the contact area between vibration damping ring and the mounting groove, thereby the vibration damping effect of vibration damping ring has been ensured, thereby improve the precision that the vibration damping ring consumed the energy calculation, satisfy the demand that aeroengine gear damping was fallen and is fallen.
Description
Technical Field
The application relates to the technical field of aero-engines, in particular to a method and a device for calculating minimum interference of a vibration damping ring.
Background
The vibration reduction ring is an important means for reducing vibration and noise of the gear of the aircraft engine. The interference of the vibration damping ring is an important parameter in the design of the vibration damping ring, the interference is small, the engine can slide relative to the vibration damping ring when being started quickly, so that the dynamic balance of the original gear is damaged, the dynamic unbalance of the gear system is increased, the risk of resonance damage of the gear is increased, the interference is large, the contact area between the vibration damping ring and the mounting groove is reduced, the vibration damping effect of the vibration damping ring is reduced, and therefore, how to reasonably design the interference of the vibration damping ring is an important link in the design of the vibration damping ring.
In addition, since the diameter of the perfect circular vibration damping ring is greater than that of the mounting groove in a free state, the perfect circular vibration damping ring may not be completely in contact with the mounting groove when the perfect circular vibration damping ring is mounted in the perfect circular groove, and if the perfect circular vibration damping ring rotates together with the mounting groove, the contact area may be changed as the centrifugal force increases. In the existing calculation method, the two are completely contacted by default for simplification, which brings a relatively large calculation error in problem analysis.
Disclosure of Invention
The application provides a vibration damping ring minimum interference magnitude calculation method, which aims to solve the technical problems that the existing vibration damping ring interference magnitude calculation error is large and dynamic balance and vibration damping effect of a vibration damping ring are difficult to satisfy simultaneously.
The technical scheme adopted by the application is as follows:
a method for calculating the minimum interference magnitude of a vibration damping ring comprises the following steps:
s1, calculating to obtain the maximum angular acceleration in the starting process of the engine according to the starting rule of the engine;
s2, respectively calculating the normal pressure of the damping ring in unit area after the damping ring is installed in the installation groove and the normal pressure of the damping ring in unit area caused by centrifugal force;
s3, calculating a critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure of the vibration damping ring after the vibration damping ring is mounted in the mounting groove and the normal pressure of the vibration damping ring on a unit area caused by centrifugal force;
s4, respectively calculating the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after the vibration damping ring is installed in the installation groove and the size of the vibration damping ring;
s5, calculating the normal pressure of the vibration damping ring after being installed in the installation groove, the concentrated force of the opening position in the installation state, and the friction force generated by the concentrated force of the boundary position of the contact area and the non-contact area in the installation state;
and S6, calculating the minimum interference magnitude of the vibration damping ring according to the condition which needs to be met by the friction force when the vibration damping ring is prevented from sliding in the circumferential direction in the starting process of the engine.
Further, in step S1, the maximum angular acceleration α during the engine start is:
wherein, T max J is the maximum torque output by the starter during engine starting, and J is the rotational inertia of the engine rotor.
Further, in step S2, calculating a normal pressure per unit area after the damping ring is installed in the installation groove, specifically including the steps of:
assuming that the interference magnitude is delta u, the normal pressure p per unit area after the damping ring is installed in the installation groove 0 Comprises the following steps:
wherein E is the elastic modulus of the material of the damping ring, I is the section inertia moment of the damping ring, b is the axial width of the damping ring, and r is the neutral line radius of the damping ring.
Further, in step S2, a normal pressure p per unit area of the damping ring caused by the centrifugal force is calculated 1 The method specifically comprises the following steps:
wherein m is the mass of the vibration damping ring, v is the linear velocity, r 1 Is the outer contour radius of the damping ring.
Further, in step S3, a critical contact angle θ between the damping ring and the mounting groove is calculated according to the normal pressure of the damping ring after the damping ring is mounted in the mounting groove and the normal pressure of the damping ring per unit area caused by the centrifugal force 0 Time, calculated according to the following formula:
further, in step S4, the concentrated force Q of the opening position in the installation state is calculated according to the friction coefficient of the damping ring, the critical contact angle, the normal pressure of the damping ring after the damping ring is installed in the installation groove and the size of the damping ring 1 The method comprises the following specific steps:
where μ is the coefficient of friction of the damping ring.
Further, in step S4, the concentration force Q of the boundary position between the contact area and the non-contact area in the installation state is calculated according to the friction coefficient and the critical contact angle of the damping ring, the normal pressure of the damping ring after the damping ring is installed in the installation groove and the size of the damping ring 2 The method specifically comprises the following steps:
further, in step S5, the friction force T f The specific calculation process comprises the following steps:
further, in step S6, the method for calculating the minimum interference of the vibration damping ring according to the condition that needs to be satisfied when the friction force is required to prevent the vibration damping ring from sliding in the circumferential direction during the starting process of the engine specifically includes the steps of:
calculating to prevent the damping ring from sliding circumferentially during the engine starting process, it is necessary to satisfy:
T f ≥mαr 2
the following can be obtained:
the minimum interference Δ u of the damping ring min Comprises the following steps:
the present application further provides a minimum interference calculation apparatus for a damping ring, including:
the maximum angular acceleration calculating module is used for calculating and obtaining the maximum angular acceleration in the starting process of the engine according to the starting rule of the engine;
the normal pressure calculation module is used for respectively calculating the normal pressure of the damping ring in unit area after the damping ring is arranged in the mounting groove and the normal pressure of the damping ring in unit area caused by centrifugal force;
the critical contact angle calculation module is used for calculating the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure of the vibration damping ring after the vibration damping ring is mounted in the mounting groove and the normal pressure of the vibration damping ring on a unit area caused by centrifugal force;
the concentrated force calculation module is used for respectively calculating the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove and the size of the vibration damping ring;
the friction force calculation module is used for calculating the friction force generated by the normal pressure of the vibration damping ring after being installed in the installation groove, the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state;
and the minimum interference magnitude calculation module is used for calculating the minimum interference magnitude of the vibration damping ring according to the condition which needs to be met when the friction force is required to prevent the vibration damping ring from sliding in the circumferential direction in the starting process of the engine.
In another aspect, the present application further provides an electronic device, which includes a memory, a processor, and a computer program stored on the memory and executable on the processor, and the processor implements the steps of the damping ring minimum interference calculation method when executing the program.
In another aspect, the present application further provides a storage medium including a stored program, where the program is executed to control a device in which the storage medium is located to execute the steps of the damping ring minimum interference calculation method.
Compared with the prior art, the method has the following beneficial effects:
the application provides a vibration damping ring minimum interference magnitude calculation method and device, the method is through the actual contact analysis of mounting groove and vibration damping ring to confirm the actual contact area between vibration damping ring and the mounting groove under different rotational speeds, no longer default mounting groove and vibration damping ring are the full circle contact, press close to actual conditions, calculate the minimum interference magnitude that prevents vibration damping ring circumferential slip, reduce vibration damping ring interference magnitude calculation error, gained minimum interference magnitude can enough avoid when making the engine start fast taking place relative slip with the vibration damping ring, and simultaneously, minimum interference magnitude can not reduce the contact area between vibration damping ring and the mounting groove, thereby the vibration damping effect of vibration damping ring has been ensured, thereby improve the precision that the energy consumption of vibration damping ring calculated, satisfy the demand that aeroengine gear damping was fallen and is fallen.
In addition to the objects, features and advantages described above, other objects, features and advantages will be apparent from the present application. The present application will now be described in further detail with reference to the accompanying drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the application and, together with the description, serve to explain the application and are not intended to limit the application. In the drawings:
fig. 1 is a schematic flow chart of a method for calculating minimum interference of a damping ring according to a preferred embodiment of the present application.
Fig. 2 is a structural schematic diagram of a damping ring of the preferred embodiment of the present application in a natural state.
Fig. 3 is a schematic structural view of the damping ring according to the preferred embodiment of the present invention after being installed in the installation groove.
Fig. 4 is a schematic view of the damping ring according to the preferred embodiment of the present application under a load after being installed in the installation groove.
Fig. 5 is a schematic block diagram of a minimum interference calculation device of the vibration damping ring according to the preferred embodiment of the present application.
Fig. 6 is a schematic block diagram of an electronic device entity according to a preferred embodiment of the present application.
Fig. 7 is an internal structural view of a computer device according to a preferred embodiment of the present application.
Detailed Description
It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. The present application will be described in detail below with reference to the embodiments with reference to the attached drawings.
Referring to fig. 1, a preferred embodiment of the present application provides a damping ring minimum interference calculation method, including the steps of:
s1, calculating to obtain the maximum angular acceleration in the starting process of the engine according to the starting rule of the engine;
s2, respectively calculating the normal pressure of the damping ring in unit area after the damping ring is installed in the installation groove and the normal pressure of the damping ring in unit area caused by centrifugal force;
s3, calculating a critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure of the vibration damping ring after the vibration damping ring is mounted in the mounting groove and the normal pressure of the vibration damping ring on a unit area caused by centrifugal force;
s4, respectively calculating the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove and the size of the vibration damping ring;
s5, calculating the normal pressure of the vibration damping ring after the vibration damping ring is installed in the installation groove, the concentrated force of the opening position in the installation state, and the friction force generated by the concentrated force of the boundary position of the contact area and the non-contact area in the installation state;
and S6, calculating the minimum interference magnitude of the vibration damping ring according to the condition which needs to be met by the friction force when the vibration damping ring is prevented from sliding in the circumferential direction in the starting process of the engine.
The embodiment provides a method for calculating the minimum interference of a damping ring, which can determine an actual contact area between the damping ring and an installation groove at different rotation speeds through the actual contact analysis of the installation groove and the damping ring, does not default that the installation groove and the damping ring are in full-circle contact and are close to an actual working condition, calculates the minimum interference for preventing the circumferential sliding of the damping ring, reduces the calculation error of the interference of the damping ring, and needs to consider several problems in the design of the interference:
if the vibration reduction ring and the gear slide relatively along the circumferential direction in the working process, the dynamic balance of the gear is damaged, so that the gear can vibrate excessively, and the normal work of an engine is influenced. The acceleration is very high in the starting process of the aircraft engine, relative sliding is easily generated between the damping ring and the gear in the process, the sliding is restrained mainly by the friction force between the damping ring and the gear, the friction force depends on the magnitude of the interference to a great extent, the interference is small, the friction force is small, and therefore the relative sliding is easily generated;
2) Calculating the critical contact angle theta of the damping ring and the mounting groove 0 (at the boundary of the contact region and the non-contact region.
3) After the structure of the gear is determined, the natural mode of the gear is determined, so that the resonant rotating speed of the gear is determined, and therefore, the normal pressure P per unit area caused by centrifugal force under a certain vibration mode 1 Is determined and theta 0 Then following P 0 The increase of the damping ring and the increase of the interference means that although the interference can avoid the damage of the dynamic balance caused by relative sliding, the contact area between the damping ring and the gear is reduced, the damping of the damping ring consumes the vibration energy by means of mutual fretting friction between the damping ring and the gear, and the friction energy consumption capacity is lost without contact, so that the damping effect of the damping ring is reduced when the interference is too large.
Therefore, the interference is not larger as better, but smaller as better on the basis of satisfying the start-up non-slip;
the determination of the minimum interference also requires the acquisition of an accurate contact area for the accurate calculation of the friction resulting from the interference (the maximum starting acceleration during starting is basically the very moment of the start, which is the speed of rotation almost 0, so that P 1 Can be considered to be 0, the friction is entirely generated by the pre-load force generated by the interference).
The minimum interference magnitude obtained by the embodiment fully considers the actual working condition of the vibration damping ring, so that the relative sliding between the engine and the vibration damping ring can be avoided when the engine is started quickly, the dynamic balance of the original gear is ensured not to be damaged, the dynamic unbalance of the gear system is prevented from being increased, and the risk of resonance damage of the gear is reduced; meanwhile, the contact area between the vibration damping ring and the mounting groove cannot be reduced by the minimum interference magnitude, and the vibration damping effect of the vibration damping ring is ensured, so that the calculation precision of the energy consumption of the vibration damping ring is improved, two purposes are achieved, and the requirements of vibration damping and noise reduction of the gear of the aircraft engine are effectively met.
Specifically, in step S1, the maximum angular acceleration α during the engine start is:
wherein, T max To get upThe engine outputs the maximum torque during engine starting, and J is the rotational inertia of the engine rotor.
Specifically, in step S2, calculating the normal pressure per unit area after the damping ring is installed in the installation groove, specifically includes the steps of:
assuming that the interference magnitude is delta u, the normal pressure p per unit area after the damping ring is installed in the installation groove 0 Comprises the following steps:
wherein E is the elastic modulus of the material of the damping ring, I is the section inertia moment of the damping ring, b is the axial width of the damping ring, and r is the neutral line radius of the damping ring.
Specifically, in step S2, the normal pressure p per unit area of the damper ring caused by the centrifugal force is calculated 1 The method specifically comprises the following steps:
wherein m is the mass of the vibration damping ring, v is the linear velocity, r 1 Is the outer contour radius of the damping ring.
Specifically, in step S3, a critical contact angle θ between the damping ring and the mounting groove is calculated based on the normal pressure of the damping ring after the damping ring is mounted in the mounting groove and the normal pressure of the damping ring per unit area caused by the centrifugal force 0 Then, it is calculated according to the following formula:
specifically, as shown in fig. 4, in step S4, the concentration force Q of the opening position in the mounting state is calculated from the friction coefficient of the damping ring, the critical contact angle, the normal pressure of the damping ring after being mounted in the mounting groove, and the size of the damping ring 1 The method specifically comprises the following steps:
where μ is the coefficient of friction of the damping ring.
Specifically, as shown in fig. 4, in step S4, the concentration force Q at the boundary position between the contact area and the non-contact area in the mounting state is calculated according to the friction coefficient of the damping ring, the critical contact angle, the normal pressure of the damping ring after being mounted in the mounting groove, and the size of the damping ring 2 The method specifically comprises the following steps:
specifically, in step S5, the friction force T f The specific calculation process comprises the following steps:
specifically, in step S6, the minimum interference of the vibration damping ring is calculated according to the condition that needs to be satisfied when the friction force is required to prevent the vibration damping ring from sliding in the circumferential direction during the starting process of the engine, and the method specifically includes the steps of:
calculating to prevent the damping ring from sliding circumferentially during the engine starting process, it is necessary to satisfy:
T f ≥mαr 2
the following can be obtained:
the minimum interference Δ u of the damping ring is therefore min Comprises the following steps:
as shown in fig. 5, another preferred embodiment of the present application also provides a damping ring minimum interference calculation apparatus, including:
the maximum angular acceleration calculating module is used for calculating and obtaining the maximum angular acceleration in the starting process of the engine according to the starting rule of the engine;
the normal pressure calculation module is used for respectively calculating the normal pressure of the damping ring in unit area after the damping ring is arranged in the mounting groove and the normal pressure of the damping ring in unit area caused by centrifugal force;
the critical contact angle calculation module is used for calculating the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure of the vibration damping ring after the vibration damping ring is mounted in the mounting groove and the normal pressure of the vibration damping ring on a unit area caused by centrifugal force;
the concentrated force calculation module is used for respectively calculating the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove and the size of the vibration damping ring;
the friction force calculation module is used for calculating the normal pressure after the vibration damping ring is arranged in the installation groove, the concentrated force of the opening position in the installation state and the friction force generated by the concentrated force of the boundary position of the contact area and the non-contact area in the installation state;
and the minimum interference magnitude calculation module is used for calculating the minimum interference magnitude of the vibration damping ring according to the condition which needs to be met when the friction force is required to prevent the vibration damping ring from sliding in the circumferential direction in the starting process of the engine.
Another preferred embodiment of the present application further provides an electronic device, as shown in fig. 6, including a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor implements the steps of the method for calculating the minimum interference of the vibration damping ring in the above embodiment when executing the program.
As shown in fig. 7, another preferred embodiment of the present application further provides a computer device, which may be a terminal or a biopsy server, and the internal structure thereof may be as shown in fig. 7. The computer device includes a processor, a memory, and a network interface connected by a system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device comprises a nonvolatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of an operating system and computer programs in the non-volatile storage medium. The network interface of the computer device is used for communicating with other external computer devices through network connection. The computer program is executed by a processor to implement the steps of the above-described damping ring minimum interference calculation method.
Those skilled in the art will appreciate that the architecture shown in fig. 7 is merely a block diagram of some of the structures associated with the disclosed aspects and is not intended to limit the computing devices to which the disclosed aspects apply, as particular computing devices may include more or less components than those shown, or may combine certain components, or have a different arrangement of components.
Another preferred embodiment of the present application also provides a storage medium including a stored program, which, when executed, controls an apparatus in which the storage medium is located to perform the steps of the vibration damping ring minimum interference magnitude calculation method in the above-described embodiment.
It should be noted that the steps illustrated in the flowcharts of the figures may be performed in a computer system such as a set of computer-executable instructions and that, although a logical order is illustrated in the flowcharts, in some cases, the steps illustrated or described may be performed in an order different than here.
If the functions of the method of the present embodiment are implemented in the form of software functional units and sold or used as independent products, the functions may be stored in one or more storage media readable by a computing device. Based on such understanding, part of the contribution to the prior art of the embodiments of the present application or part of the technical solution may be embodied in the form of a software product stored in a storage medium and including several instructions for causing a computing device (which may be a personal computer, a server, a mobile computing device or a network device) to execute all or part of the steps of the method described in the embodiments of the present application. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. 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, and so forth) having computer-usable program code embodied therein. The scheme in the embodiment of the application can be implemented by adopting various computer languages, such as object-oriented programming language Java and transliterated scripting language JavaScript.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While the preferred embodiments of the present application have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all alterations and modifications as fall within the scope of the application.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present application without departing from the spirit and scope of the application. Thus, if such modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is intended to include such modifications and variations as well.
Claims (10)
1. A vibration damping ring minimum interference magnitude calculation method is characterized by comprising the following steps:
s1, calculating to obtain the maximum angular acceleration in the starting process of the engine according to the starting rule of the engine;
s2, respectively calculating the normal pressure of the damping ring in unit area after the damping ring is installed in the installation groove and the normal pressure of the damping ring in unit area caused by centrifugal force;
s3, calculating a critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure of the vibration damping ring after the vibration damping ring is mounted in the mounting groove and the normal pressure of the vibration damping ring on a unit area caused by centrifugal force;
s4, respectively calculating the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove and the size of the vibration damping ring;
s5, calculating the normal pressure of the vibration damping ring after being installed in the installation groove, the concentrated force of the opening position in the installation state, and the friction force generated by the concentrated force of the boundary position of the contact area and the non-contact area in the installation state;
and S6, calculating the minimum interference magnitude of the vibration damping ring according to the condition which needs to be met by the friction force when the vibration damping ring is prevented from sliding in the circumferential direction in the starting process of the engine.
2. The method for calculating the minimum interference of the vibration damping ring according to claim 1, wherein in step S1, the maximum angular acceleration α during the engine start is:
wherein, T max J is the maximum torque output by the starter during engine starting, and J is the rotational inertia of the engine rotor.
3. The vibration damping ring minimum interference magnitude calculation method according to claim 2, wherein in the step S2, the normal pressure per unit area after the vibration damping ring is installed in the installation groove is calculated, and the method specifically comprises the steps of:
assuming that the interference magnitude is delta u, the normal pressure p per unit area after the damping ring is installed in the installation groove 0 Comprises the following steps:
wherein E is the elastic modulus of the material of the damping ring, I is the section inertia moment of the damping ring, b is the axial width of the damping ring, and r is the neutral line radius of the damping ring.
4. The vibration damping ring minimum interference calculation method according to claim 3, wherein in step S2, a normal pressure p per unit area of the vibration damping ring caused by a centrifugal force is calculated 1 The method specifically comprises the following steps:
wherein m is the mass of the vibration damping ring, v is the linear velocity, r 1 Is the outer contour radius of the damping ring.
5. The vibration damping ring minimum interference calculation method according to claim 4, wherein in step S3, the critical contact angle θ between the vibration damping ring and the mounting groove is calculated according to the normal pressure of the vibration damping ring after being mounted in the mounting groove and the normal pressure of the vibration damping ring in a unit area caused by centrifugal force 0 Then, it is calculated according to the following formula:
6. the vibration damping ring minimum interference magnitude calculation method according to claim 5, wherein in step S4, the concentration force Q of the opening position in the installation state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove, and the size of the vibration damping ring 1 The method specifically comprises the following steps:
where μ is the coefficient of friction of the damping ring.
7. The vibration damping ring minimum interference magnitude calculation method according to claim 6, wherein in step S4, the concentration force Q of the boundary position between the contact area and the non-contact area in the installation state is calculated according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove, and the size of the vibration damping ring 2 The method specifically comprises the following steps:
8. the method according to claim 7, wherein in step S5, the frictional force T is calculated f The specific calculation process comprises the following steps:
9. the method for calculating the minimum interference of the vibration damping ring according to claim 8, wherein in step S6, the minimum interference of the vibration damping ring is calculated according to a condition that needs to be satisfied when the friction force is required to prevent the vibration damping ring from sliding circumferentially during the starting of the engine, and specifically comprises the steps of:
calculating to prevent the damping ring from sliding circumferentially during the engine starting process, it is necessary to satisfy:
T f ≥mαr 2
the following can be obtained:
the minimum interference Δ u of the damping ring is therefore min Comprises the following steps:
10. a vibration damping ring minimum interference magnitude calculation apparatus, comprising:
the maximum angular acceleration calculating module is used for calculating and obtaining the maximum angular acceleration in the starting process of the engine according to the starting rule of the engine;
the normal pressure calculation module is used for respectively calculating the normal pressure of the damping ring in unit area after the damping ring is arranged in the mounting groove and the normal pressure of the damping ring in unit area caused by centrifugal force;
the critical contact angle calculation module is used for calculating the critical contact angle between the vibration damping ring and the mounting groove according to the normal pressure of the vibration damping ring after the vibration damping ring is mounted in the mounting groove and the normal pressure of the vibration damping ring on a unit area caused by centrifugal force;
the concentrated force calculation module is used for respectively calculating the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state according to the friction coefficient of the vibration damping ring, the critical contact angle, the normal pressure of the vibration damping ring after being installed in the installation groove and the size of the vibration damping ring;
the friction force calculation module is used for calculating the friction force generated by the normal pressure of the vibration damping ring after being installed in the installation groove, the concentrated force of the opening position in the installation state and the concentrated force of the boundary position of the contact area and the non-contact area in the installation state;
and the minimum interference magnitude calculation module is used for calculating the minimum interference magnitude of the vibration damping ring according to the condition which needs to be met when the friction force is required to prevent the vibration damping ring from sliding in the circumferential direction in the starting process of the engine.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211191994.0A CN115659528A (en) | 2022-09-28 | 2022-09-28 | Method and device for calculating minimum interference magnitude of vibration damping ring |
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| CN202211191994.0A CN115659528A (en) | 2022-09-28 | 2022-09-28 | Method and device for calculating minimum interference magnitude of vibration damping ring |
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| CN202211191994.0A Pending CN115659528A (en) | 2022-09-28 | 2022-09-28 | Method and device for calculating minimum interference magnitude of vibration damping ring |
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- 2022-09-28 CN CN202211191994.0A patent/CN115659528A/en active Pending
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