Dynamic modeling and parameter determination method of wet friction clutch considering spline pair

Abstract

The present invention relates to a method and system for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair, the method comprising the following steps: equating the spline pairs of the active and driven ends of a multi-plate wet friction clutch to a spring damping system, and constructing a dynamic equivalent model of the multi-plate wet friction clutch including a spline pair; constructing a dynamic mathematical model of the multi-plate wet friction clutch including a spline pair based on the dynamic equivalent model; solving the dynamic mathematical model to determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia. The present invention realizes the study of the dynamic characteristics of the spline connection between the inner and outer hubs of the clutch and the friction plates and the dual steel plates by constructing a dynamic equivalent model of a multi-plate wet friction clutch including a spline pair, and then solving the dynamic parameters of the spline connection between the inner and outer hubs of the clutch and the friction plates and the dual steel plates.

Description

Technical Field

[0001] The invention relates to the technical field of dynamic characteristic research, and in particular to a method and system for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair. Background Art

[0002] A helicopter has two working states: hovering and cruising. In order to ensure the power performance and economic performance of the helicopter, the transmission system needs to frequently change to different gears to achieve variable speed transmission to adapt to different working states. The friction clutch is the core component of the helicopter variable speed transmission system, and it is of great significance to study its dynamic characteristics. At present, the dynamic modeling of the wet friction clutch usually uses the concentrated mass method to equate the engine end, the active end, the driven end and the load end to four inertia plates. Among them, the input end and the active end, the driven end and the load end are equivalent to a spring damping system, and a force balance model is established between the master and the driven end according to the friction model. This modeling method can simulate the overall dynamic characteristics of the clutch well, but it cannot well represent the dynamic characteristics of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate. Summary of the invention

[0003] The purpose of the present invention is to provide a method and system for dynamic modeling and parameter determination of a wet friction clutch taking into account a spline pair, so as to study the dynamic characteristics of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate.

[0004] To achieve the above object, the present invention provides the following solutions:

[0005] The present invention provides a method for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair, the method comprising the following steps:

[0006] The spline pairs at the active and driven ends of the multi-plate wet friction clutch are equivalent to a spring damping system, and a dynamic equivalent model of the multi-plate wet friction clutch including the spline pairs is constructed.

[0007] Based on the dynamic equivalent model, a dynamic mathematical model of a multi-plate wet friction clutch including a spline pair is constructed;

[0008] Solve the dynamic mathematical model and calculate the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia.

[0009] Optionally, the dynamic mathematical model is:

[0010]

[0011] Wherein, T, θ, I, k and c represent torque, angular displacement, moment of inertia, stiffness and damping respectively; subscripts e, ch1, hs, hf, ch2, s2, s and f represent engine, steel plate outer hub, dual steel plate, friction plate, friction plate inner hub, load, dual steel plate spline pair at the active end and friction plate spline pair at the driven end respectively; i represents the serial number of the dual steel plate and friction plate; N s and N f Respectively represent the number of dual steel plates and friction plates; N s =N f +1; r represents the spline pitch radius, g(x) represents the piecewise linear displacement function of the spline clearance; T f It represents the torque transmitted by the friction pair, T e is the engine torque, T L is the load torque.

[0012] Optionally, solving the dynamic mathematical model to determine the dynamic parameters of the multi-plate wet friction clutch specifically includes:

[0013] Converting the dynamic mathematical model into a differential equation;

[0014] Solving the differential equation to determine the dynamic parameters of the multi-plate wet friction clutch;

[0015] Optionally, the differential equation is:

[0016]

[0017] A wet friction clutch dynamics modeling and parameter determination system considering a spline pair, the system comprising:

[0018] A dynamic equivalent model building module is used to equate the spline pairs at the active end and the driven end of the multi-plate wet friction clutch to a spring damping system, and to build a dynamic equivalent model of the multi-plate wet friction clutch including the spline pair;

[0019] A dynamic mathematical model building module, used to build a dynamic mathematical model of a multi-plate wet friction clutch including a spline pair based on the dynamic equivalent model;

[0020] The dynamic parameter solving module is used to solve the dynamic mathematical model and determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia.

[0021] Optionally, the dynamic mathematical model is:

[0022]

[0023] Wherein, T, θ, I, k and c represent torque, angular displacement, moment of inertia, stiffness and damping respectively; subscripts e, ch1, hs, hf, ch2, L, s and f represent engine, steel plate outer hub, dual steel plate, friction plate, friction plate inner hub, load, dual steel plate spline pair at the active end and friction plate spline pair at the driven end respectively; i represents the serial number of the dual steel plate and friction plate; N s and N f Respectively represent the number of dual steel plates and friction plates; N s =N f +1; r represents the spline pitch radius, g(x) represents the piecewise linear displacement function of the spline clearance; T f It represents the torque transmitted by the friction pair, T e is the engine torque, T L is the load torque.

[0024] Optionally, the kinetic parameter solving module specifically includes:

[0025] A model conversion submodule, used for converting the dynamic mathematical model into a differential equation;

[0026] A model solving submodule, used for solving the differential equation to determine the dynamic parameters of the multi-plate wet friction clutch;

[0027] Optionally, the differential equation is:

[0028]

[0029] According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects:

[0030] The present invention discloses a method and system for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair. The method comprises the following steps: the spline pairs of the active end and the driven end of the multi-plate wet friction clutch are equivalent to a spring damping system, and a dynamic equivalent model of the multi-plate wet friction clutch including the spline pair is constructed; based on the dynamic equivalent model, a dynamic mathematical model of the multi-plate wet friction clutch including the spline pair is constructed; the dynamic mathematical model is solved to determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia. The present invention realizes the study of the dynamic characteristics of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate by constructing a dynamic equivalent model of the multi-plate wet friction clutch including a spline pair, and then solving the dynamic parameters of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate, so as to make a more accurate design of the strength of the splines of the friction plate and the dual steel plate. BRIEF DESCRIPTION OF THE DRAWINGS

[0031] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.

[0032] Figure 1 A flow chart of a method for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair provided by the present invention;

[0033] Figure 2 A schematic diagram of a dynamic equivalent model of a multi-plate wet friction clutch including a spline pair provided by the present invention;

[0034] Figure 3 A schematic diagram of the friction pair structure provided by the present invention;

[0035] Figure 4 The equivalent model diagram provided by the present invention; wherein, Figure 4 a is the equivalent model diagram of equal tooth width, Figure 4 b is the equivalent model diagram with equal number of teeth;

[0036] Figure 5 The speed fluctuation of the equal tooth width equivalent model provided by the present invention; wherein, Figure 5 a is the speed fluctuation diagram of the equivalent model with equal tooth width, Figure 5 b is the local diagram of speed fluctuation of the equivalent model with equal tooth width;

[0037] Figure 6 The speed fluctuation of the equivalent model with equal number of teeth provided by the present invention; wherein, Figure 6 a is the speed fluctuation diagram of the equivalent model with equal number of teeth, Figure 6 b is the local diagram of speed fluctuation of the equivalent model with equal number of teeth. DETAILED DESCRIPTION

[0038] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0039] The purpose of the present invention is to provide a method and system for dynamic modeling and parameter determination of a wet friction clutch taking into account a spline pair, so as to study the dynamic characteristics of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate.

[0040] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0041] like Figure 1 As shown, the present invention provides a method for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair, the method comprising the following steps:

[0042] Step 101: Equivalent the spline pairs at the driving end and the driven end of the multi-plate wet friction clutch to a spring damping system, and construct a dynamic equivalent model of the multi-plate wet friction clutch including the spline pairs.

[0043] like Figure 2 The figure shows the dynamic equivalent model of a multi-plate wet friction clutch. Figure 2 The dashed boxes at the master and slave ends represent the stiffness and damping of the spline pair connection, and the dashed boxes between the input and output shafts represent the torsional stiffness and damping of the master and slave shafts. The torque is transmitted between the steel plate and the friction plate through friction.

[0044] In the figure: T, θ, I, K, c represent torque, angular displacement, moment of inertia, stiffness and damping respectively; the subscripts e, s1, ch1, hs, hf, ch2, s2, L represent the engine, driving shaft, steel plate outer hub, dual steel plate, friction plate, friction plate inner hub, driven shaft and load respectively, and i represents the serial number of the steel plate and friction plate.

[0045] Among them, the friction pair structure is as follows Figure 3 As shown, Figure 3 The friction plate shown has multiple independent spline systems, which is relatively complex. Therefore, equivalent calculations are performed on multiple dual steel plates (friction plates) to simplify the calculation of the spline pair. Two equivalent methods can be used for multiple dual steel plates (friction plates):

[0046] (1) The tooth width is equivalent, and the thickness and size of the dual steel plate are not changed. The number of teeth of the dual steel plate is regarded as the sum of the number of teeth of N dual steel plates (friction plates), that is, the meshing stiffness and meshing damping of a single tooth remain unchanged, and the number of teeth involved in the meshing is N times the number of teeth of a single dual steel plate (friction plate).

[0047] (2) Equivalence of equal number of teeth: This method regards N pairs of dual steel plates (friction plates) as a whole, and the equivalent spline tooth width is N times the single-piece tooth width.

[0048] like Figure 4 is the equivalent model diagram, where Figure 4 a is the equivalent model of equal tooth width, Figure 4 b is the equivalent model diagram with equal number of teeth.

[0049] Step 102: construct a dynamic mathematical model of a multi-plate wet friction clutch including a spline pair based on the dynamic equivalent model.

[0050] according to Figure 2 The dynamic mathematical model of the wet friction clutch system is shown in formula (1):

[0051]

[0052] Step 103, solving the dynamic mathematical model to determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia.

[0053] By numerically solving the differential equation, the speed fluctuation (angular displacement) of the clutch master and slave ends can be obtained, so as to make a more accurate design of the strength of the friction plate and the dual steel plate spline.

[0054] Figure 5 The speed fluctuation of the equal tooth width equivalent model provided by the present invention, Figure 6 The speed fluctuation of the equivalent model with equal number of teeth provided by the present invention is as follows: Figure 5 and 6 As shown, Figure 5 a. Figure 5 b. Figure 6 a and Figure 6 b shows the speed change process of the input end, active end spline seat, dual steel plate, friction plate, driven end spline seat and output shaft in the engagement process of the equal tooth width equivalent model and the equal tooth number equivalent model. Through this model, the influence of different system parameters (spline pair parameters, shaft stiffness and damping, and concentrated mass of each component) on the speed stability of the wet friction clutch transmission process can be simulated and predicted in advance for different wet friction clutch models, and the system parameters can be adjusted appropriately to obtain better performance. It can be seen from the figure that the speed fluctuation of the input shaft and the output shaft is small, and the speed fluctuation of the dual steel plate, friction plate and the active / slave end spline seat is large (the original component has a small moment of inertia). After the wet friction clutch is engaged, the speed fluctuation of each component tends to be stable.

[0055] The present invention also provides a wet friction clutch dynamics modeling and parameter determination system considering a spline pair, the system comprising:

[0056] The dynamic equivalent model building module is used to equate the spline pairs at the active end and the driven end of the multi-plate wet friction clutch to a spring damping system, and to build a dynamic equivalent model of the multi-plate wet friction clutch including the spline pairs.

[0057] The dynamic mathematical model is:

[0058]

[0059] Wherein, T, θ, I, k and c represent torque, angular displacement, moment of inertia, stiffness and damping respectively; subscripts e, ch1, hs, hf, ch2, L, s and f represent engine, steel plate outer hub, dual steel plate, friction plate, friction plate inner hub, load, dual steel plate spline pair at the active end and friction plate spline pair at the driven end respectively; i represents the serial number of the dual steel plate and friction plate; N s and N f Respectively represent the number of dual steel plates and friction plates; N s =N f +1; r represents the spline pitch radius, g(x) represents the piecewise linear displacement function of the spline clearance; T f It represents the torque transmitted by the friction pair, T e is the engine torque, T L is the load torque.

[0060] A dynamic mathematical model building module, used to build a dynamic mathematical model of a multi-plate wet friction clutch including a spline pair based on the dynamic equivalent model;

[0061] The dynamic parameter solving module is used to solve the dynamic mathematical model and determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia.

[0062] The dynamic parameter solving module specifically includes: a model conversion submodule, which is used to convert the dynamic mathematical model into a differential equation; and a model solving submodule, which is used to solve the differential equation to determine the dynamic parameters of the multi-plate wet friction clutch.

[0063] The differential equation is:

[0064]

[0065] According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects:

[0066] The present invention discloses a method and system for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair. The method comprises the following steps: the spline pairs of the active end and the driven end of the multi-plate wet friction clutch are equivalent to a spring damping system, and a dynamic equivalent model of the multi-plate wet friction clutch including the spline pair is constructed; based on the dynamic equivalent model, a dynamic mathematical model of the multi-plate wet friction clutch including the spline pair is constructed; the dynamic mathematical model is solved to determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia. The present invention realizes the study of the dynamic characteristics of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate by constructing a dynamic equivalent model of the multi-plate wet friction clutch including a spline pair, and then solving the dynamic parameters of the spline connection between the inner and outer hubs of the clutch and the friction plate and the dual steel plate, so as to make a more accurate design of the strength of the splines of the friction plate and the dual steel plate.

[0067] The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the various embodiments can be referenced to each other.

[0068] The principles and implementation methods of the present invention are described in this article using specific examples. The description of the above embodiments is only used to help understand the method and core idea of ​​the present invention. At the same time, for those skilled in the art, according to the idea of ​​the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as limiting the present invention.

Claims

1. A method for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair, characterized in that: The method comprises the following steps: The spline pairs at the active and driven ends of the multi-plate wet friction clutch are equivalent to a spring damping system, and a dynamic equivalent model of the multi-plate wet friction clutch including the spline pairs is constructed. Based on the dynamic equivalent model, a dynamic mathematical model of a multi-plate wet friction clutch including a spline pair is constructed; Solving the dynamic mathematical model to determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement and moment of inertia; The dynamic mathematical model is: Wherein, T, θ, I, k and c represent torque, angular displacement, moment of inertia, stiffness and damping respectively; subscripts e, ch1, hs, hf, ch2, L, s and f represent engine, steel plate outer hub, dual steel plate, friction plate, friction plate inner hub, load, dual steel plate spline pair at the active end and friction plate spline pair at the driven end respectively; i represents the serial number of dual steel plate and friction plate; Ns and Nf represent the number of dual steel plate and friction plate respectively; Ns=Nf+1; r represents the spline pitch radius; g(x) represents the piecewise linear displacement function of spline clearance; T f It represents the torque transmitted by the friction pair, T e is the engine torque, T L is the load torque.

2. The method for dynamic modeling and parameter determination of a wet friction clutch considering a spline pair according to claim 1 is characterized in that: Solving the dynamic mathematical model to determine the dynamic parameters of the multi-plate wet friction clutch specifically includes: Converting the dynamic mathematical model into a differential equation; The differential equation is solved to determine the dynamic parameters of the multi-plate wet friction clutch.

3. The wet friction clutch dynamics modeling and parameter determination system considering the spline pair according to claim 2 is characterized in that: The differential equation is:

4. A wet friction clutch dynamics modeling and parameter determination system considering spline pairs, characterized in that: The system comprises: A dynamic equivalent model building module is used to equate the spline pairs at the active end and the driven end of the multi-plate wet friction clutch to a spring damping system, and to build a dynamic equivalent model of the multi-plate wet friction clutch including the spline pair; A dynamic mathematical model building module, used to build a dynamic mathematical model of a multi-plate wet friction clutch including a spline pair based on the dynamic equivalent model; A dynamic parameter solving module, used to solve the dynamic mathematical model and determine the dynamic parameters of the multi-plate wet friction clutch; the dynamic parameters include torque, angular displacement, and moment of inertia; The dynamic mathematical model is: Wherein, T, θ, I, k and c represent torque, angular displacement, moment of inertia, stiffness and damping respectively; subscripts e, ch1, hs, hf, ch2, L, s and f represent engine, steel plate outer hub, dual steel plate, friction plate, friction plate inner hub, load, dual steel plate spline pair at the active end and friction plate spline pair at the driven end respectively; i represents the serial number of the dual steel plate and friction plate; N s and N f Respectively represent the number of dual steel plates and friction plates; N s =N f +1; r represents the spline pitch radius, g(x) represents the piecewise linear displacement function of the spline clearance; T f It represents the torque transmitted by the friction pair, T e is the engine torque, T L is the load torque.

5. The multi-plate wet friction clutch dynamic parameter system considering spline pairs according to claim 4 is characterized in that: The kinetic parameter solving module specifically includes: A model conversion submodule, used for converting the dynamic mathematical model into a differential equation; The model solving submodule is used to solve the differential equation and determine the dynamic parameters of the multi-plate wet friction clutch.

6. The wet friction clutch dynamics modeling and parameter determination system considering the spline pair according to claim 5 is characterized in that: The differential equation is:

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