A new energy engineering machinery variable speed system vibration intelligent analysis method

Abstract

The application discloses a new energy engineering machinery variable speed system vibration intelligent analysis method, and specific steps are as follows: (1) solving the time-varying meshing stiffness of the new energy engineering machinery variable speed system helical gear; (2) deducing the system transmission shaft bearing supporting force and the dynamics equation; (3) establishing the helical gear pair meshing force equation considering the gear side clearance; (4) constructing the new energy engineering machinery variable speed system vibration differential equation; (5) solving the new energy engineering machinery variable speed system vibration response characteristics; beneficial effects are that the new energy engineering machinery variable speed system vibration response characteristics can be revealed, and theoretical support is provided for analyzing the influence of system parameters on the vibration stability of the system.

Description

Technical Field

[0001] This invention relates to the field of vibration analysis technology for transmission systems of new energy engineering machinery, and in particular to an intelligent vibration analysis method for transmission systems of new energy engineering machinery. Background Technology

[0002] New energy construction machinery, as a rapidly developing and widely used type of heavy-duty construction machinery, plays an irreplaceable role in mining, port loading and unloading, construction, and various major infrastructure projects. The transmission system of new energy construction machinery, as one of the core components of power transmission, has dynamic characteristics that affect the stability of the entire machine's operation. Under low-speed conditions, the system operates in a complex excitation environment of high torque and low speed. The coupling effect of multiple factors easily induces strong nonlinear vibrations, which can readily lead to resonance instability and abnormal noise, exacerbating fatigue damage to key components such as gears and bearings in the transmission and affecting the machine's performance. Therefore, research on the vibration of transmission systems in new energy construction machinery is of great significance.

[0003] This patent addresses the transmission system of new energy construction machinery by establishing a coupled dynamics intelligent analysis model to analyze the impact of key parameters on the dynamic response of the system, providing a theoretical basis for improving the operational stability of the transmission system of new energy construction machinery. Summary of the Invention

[0004] To overcome the shortcomings of existing technologies and fill related technological gaps, this invention proposes an intelligent vibration analysis method for transmission systems in new energy engineering machinery. This method comprehensively considers multiple factors such as support stiffness, time-varying meshing stiffness, tooth flank clearance, and comprehensive transmission error, constructing an intelligent analysis model for the vibration of the transmission system in new energy engineering machinery. The intelligent analysis model is solved through numerical integration to obtain the nonlinear response characteristics of the system under the combined action of external excitation and internal factors.

[0005] The technical solution adopted by this invention to solve its technical problem is as follows: A method for intelligent vibration analysis of transmission systems in new energy engineering machinery, characterized by comprising the following steps:

[0006] Step (1): Solve for the time-varying meshing stiffness of the helical gear in the transmission system of new energy engineering machinery; cut the helical gear along the tooth width direction into The equivalent spur gear cut from the plate can be simplified as a variable cross-section cantilever beam subjected to tooth surface loads. The Hertzian contact stiffness of the driving gear of the helical gear pair can be solved using the potential energy method. for:

[0007] ;

[0008] in, For Young's modulus, For tooth width, Given Poisson's ratio, consider the base circle radius of the driving wheel. Larger than the root circle radius of the driving gear and the base circle radius of the drive wheel Smaller than the root circle radius of the driving gear tooth Two scenarios, In a helical gear pair, when continuous meshing occurs, the gear pair may include a shared gear. As the driving wheel, Given the total number of helical gears in the transmission system of new energy engineering machinery, the bending stiffness of the driving wheel is solved using the potential energy method. Shear stiffness Axial compressive stiffness for:

[0009] ;

[0010] ;

[0011] ;

[0012] in, The width of the spur gear slice is given. It is the distance from the root circle along the tooth height direction to a certain cross section. Let be the distance from the current driving spur gear element to the front face of the gear. It is the distance from the point of meshing to the plane formed by the gear on the root circle. The distance from the meshing point to the gear's line of symmetry. This is the pressure angle corresponding to the meshing force on the current driving gear spur gear element. This is the pressure angle corresponding to the current meshing force on the end face of the driving wheel. This is the pressure angle corresponding to the current equivalent spur gear end face meshing force. It is half the angle corresponding to a single tooth of the driving gear on the base circle;

[0013] The time-varying meshing stiffness of the equivalent spur gear cut out for:

[0014] ;

[0015] Time-varying meshing stiffness of helical gear pairs for Equivalent spur gear time-varying meshing stiffness The sum;

[0016] Step (2): Derive the bearing support force and dynamic equations of the system transmission shaft; In the transmission system of new energy engineering machinery, deep groove ball bearings and tapered roller bearings are mainly used for different transmission shafts. During operation, the angular position of each rolling element... The relationship between time and change is as follows:

[0017] ;

[0018] in, This refers to the number of balls or rollers in the bearing. From the midpoint of the inner contact line to Distance between axes From the midpoint of the outer contact line to Distance between axes Indicates the angular velocity of the inner ring of the bearing;

[0019] For deep groove ball bearings, the bearing along Axial forces , bearing along Axial forces The calculation formulas are as follows:

[0020] ;

[0021] in, For deep groove ball bearings Contact deformation of each rolling element For deep groove ball bearings Contact deformation speed of each rolling element To describe the contact state coefficient, For the contact stiffness of deep groove ball bearings, This refers to the contact damping coefficient of a deep groove ball bearing.

[0022] For tapered roller bearings, the first The total deformation of the roller in the contact normal direction for:

[0023] ;

[0024] in, For tapered roller bearings along Displacement in direction, For tapered roller bearings along Displacement in direction, For tapered roller bearings along Displacement in direction, It is the external contact wire and The included angle between the shafts, along the tapered roller bearing Axial forces Tapered roller bearings along Axial forces Tapered roller bearings along Axial forces for:

[0025] ;

[0026] in, For tapered roller bearings The total deformation of the roller in the contact normal direction For the contact stiffness of tapered roller bearings, This represents the contact damping coefficient of the tapered roller bearing. For the first A conical roller in time The rotation angle at that time;

[0027] Step (3): Establish the meshing force equation of the helical gear pair considering tooth backlash; consider degrees of freedom in the transmission system of new energy engineering machinery. , , They represent the first gear along axis, axis, Vibration displacement in the axial direction, , , They represent the first gear along axis, axis, Vibration velocity in the axial direction, , , They represent the first gear along axis, axis, axial acceleration of vibration. This refers to the total number of helical gears in the transmission system of new energy engineering machinery. Indicates the first The angular displacement of the gear about its axis of rotation. Indicates the first The angular velocity of the gear about its axis of rotation. Indicates the first The angular acceleration of the gear about its axis of rotation. express Dynamic deformation displacement of helical gear pair express Dynamic deformation speed of helical gear pairs express Dynamic deformation acceleration of helical gear pairs, for bearing degrees of freedom, the first When the bearing on the gear shaft is a deep groove ball bearing, the first gear of the shaft... bearing along axis, axial displacement is , ,along axis, axial velocity is , ,along axis, axial acceleration is , When the bearing is a tapered roller bearing, the first... bearing along axis, axis, The displacement in the axial direction is , , ,along axis, axis, The velocity in the axial direction is , , ,along axis, axis, The acceleration in the axial direction is , , , This refers to the total number of gear shafts in the transmission system of new energy engineering machinery.

[0028] gear With gears Dynamic deformation displacement is It can be represented as:

[0029] ;

[0030] in, express The base circle radius of the gear, for Pressure angle of the end face of the driving gear in a helical gear pair. for Helix angle of the driving gear in a helical gear pair for The overall error of the helical gear meshing system is expressed by a sine function as follows: ,in, Represents the error constant. Indicates the magnitude of error fluctuation. The initial phase angle, This is the meshing frequency;

[0031] Gap function of nonlinear factors for:

[0032] ;

[0033] in, For tooth flank clearance, Dynamic meshing force of helical gear pairs It can be represented as:

[0034] ,

[0035] ;

[0036] in, For meshing damping, helical gear pair edge Dynamic meshing force in the axial direction ,along Dynamic meshing force in the axial direction ,along Dynamic meshing force in the axial direction They are respectively:

[0037] ;

[0038] Step (4): Construct the vibration differential equation of the transmission system of new energy engineering machinery:

[0039] when The gear shaft is equipped with the first Gear and a pair of deep groove ball bearings, deep groove ball bearings The vibration differential equation is:

[0040] ;

[0041] Among them, bearings The relevant parameters are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction;

[0042] At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is:

[0043] ;

[0044] Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque;

[0045] when The gear shaft is equipped with the first Gear and a pair of tapered roller bearings, tapered roller bearings The vibration differential equation is:

[0046] ;

[0047] Among them, bearings The relevant parameters are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0048] At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is:

[0049] ;

[0050] Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque;

[0051] when The gear shaft is equipped with the first Gear, First Gear and a pair of deep groove ball bearings, deep groove ball bearings The vibration differential equation is:

[0052] ;

[0053] Among them, bearings The relevant parameters are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction;

[0054] Deep groove ball bearings The vibration differential equation is:

[0055] ;

[0056] Among them, bearings The relevant parameters are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction;

[0057] At this time, the Gears are The differential equation for the vibration of the driven gear in the gear pair is:

[0058] ;

[0059] Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness for Torsional damping of the gear shaft for Torsional stiffness of the gear shaft , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque;

[0060] At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is:

[0061] ;

[0062] Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque;

[0063] when The gear shaft is equipped with the first Gear, First Gear and a pair of tapered roller bearings, tapered roller bearings The vibration differential equation is:

[0064] ;

[0065] Among them, bearings The relevant parameters are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0066] tapered roller bearings The vibration differential equation is:

[0067] ;

[0068] Among them, bearings The relevant parameters are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0069] At this time, the Gears are The differential equation for the vibration of the driven gear in the gear pair is:

[0070] ;

[0071] Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness for Torsional damping of the gear shaft for Torsional stiffness of the gear shaft , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque;

[0072] At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is:

[0073] ;

[0074] Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque;

[0075] Step (5): Solve for the vibration response characteristics of the transmission system of new energy engineering machinery; obtain the dynamic response of the system as the parameters change by numerical integration, and analyze its vibration characteristics. Attached Figure Description

[0076] Figure 1 This is a flowchart of a method for intelligent vibration analysis of transmission systems in new energy engineering machinery.

[0077] Figure 2 This is a schematic diagram of solving the time-varying meshing stiffness of helical gears in a transmission system based on the potential energy method.

[0078] Figure 3 It is an intelligent vibration analysis model for the transmission system of new energy engineering machinery;

[0079] Figure 4 This is an equivalent vibration displacement bifurcation diagram of the output end of the transmission system of new energy engineering machinery. Detailed Implementation

[0080] Embodiments of the present invention will be described with reference to the accompanying drawings, which will be further described below. Figure 1 — Figure 4 The specific embodiments of the present invention will be described in detail below.

[0081] like Figure 1The diagram shows a flowchart of a vibration intelligent analysis method for a transmission system in new energy engineering machinery, characterized by the following steps:

[0082] Step (1): Solve for the time-varying meshing stiffness of the helical gears in the transmission system of new energy engineering machinery; based on Figure 2 The diagram shows the number of slices of the helical gear along the tooth width direction. The Hertzian contact stiffness of the driving gear of the helical gear pair is solved using the potential energy method. for:

[0083] ;

[0084] in, For Young's modulus, For tooth width, Given Poisson's ratio, consider the base circle radius of the driving wheel. Larger than the root circle radius of the driving gear and the base circle radius of the drive wheel Smaller than the root circle radius of the driving gear tooth Both cases are solved using the potential energy method. Bending stiffness of the driving gear in a helical gear pair Shear stiffness Axial compressive stiffness for:

[0085] ;

[0086] ;

[0087] ;

[0088] in, , It is the distance from the root circle along the tooth height direction to a certain cross section. Let be the distance from the current driving spur gear element to the front face of the gear. It is the distance from the point of meshing to the plane formed by the gear on the root circle. The distance from the meshing point to the gear's line of symmetry. This is the pressure angle corresponding to the meshing force on the current driving gear spur gear element. This is the pressure angle corresponding to the current meshing force on the end face of the driving wheel. This is the pressure angle corresponding to the current equivalent spur gear end face meshing force. It is half the angle corresponding to a single tooth of the driving gear on the base circle;

[0089] In the new energy engineering machinery transmission system used in this embodiment, the overlap ratio of the helical gear pair is... satisfy It is an alternating meshing pattern of four-tooth and three-tooth teeth. Time-varying meshing stiffness of helical gear pairs It can be written as:

[0090] ;

[0091] in For any consecutive moment during the system's operation, For the meshing cycle, The time-varying meshing stiffness of the equivalent spur gear cut out is:

[0092] ;

[0093] Step (2): Establish the bearing support force and dynamic equations for each stage of the transmission shaft. The input shaft bearing in the transmission system is a 6310 deep groove ball bearing (GB 276-2013), and the bearings of the other gear shafts are 33209 tapered roller bearings (GB 297-2013).

[0094] In any bearing, the first During operation, the angular position of each rolling element... The relationship between the changes over time is as follows:

[0095] ;

[0096] Among them, the number of rolling elements , From the midpoint of the inner contact line to Distance between axes From the midpoint of the outer contact line to Distance between axes Indicates the angular velocity of the inner ring of the bearing;

[0097] For deep groove ball bearings, based on Hertzian contact theory, the deep groove ball bearing along... Axial forces and deep groove ball bearings along Axial forces The calculation formula is:

[0098] ;

[0099] in, For deep groove ball bearings Contact deformation of each rolling element For deep groove ball bearings The contact deformation velocity of each rolling element, in this method flow, a single point above the variable represents the contact deformation velocity of the rolling element. Find the first derivative, with double dots indicating time. Find the second derivative. To describe the contact state coefficient, For the contact stiffness of deep groove ball bearings, This refers to the contact damping coefficient of a deep groove ball bearing.

[0100] Based on Hertzian contact theory, tapered roller bearings along... Axial forces tapered roller bearings along Axial forces tapered roller bearings along Axial forces for:

[0101] ;

[0102] in, For the first The total deformation of each roller in the contact normal direction For the first The total deformation velocity of the roller in the contact normal direction For the contact stiffness of tapered roller bearings, This represents the contact damping coefficient of the tapered roller bearing. It is the external contact wire and The angle between the axes, For the first The rotation angle of a conical roller at time t;

[0103] Step (3): Establish the meshing force equation of the helical gear pair considering tooth flank clearance, according to Figure 3 Intelligent vibration analysis model for transmission systems in new energy construction machinery, considering degrees of freedom in transmission systems of new energy construction machinery. , , They represent gear along axis, axis, Vibration displacement in the axial direction, , , They represent gear along axis, axis, Vibration velocity in the axial direction, , , They represent gear along axis, axis, axial acceleration of vibration. express The angular displacement of the gear about its axis of rotation. express The angular velocity of the gear about its axis of rotation. express The angular acceleration of the gear about its axis of rotation, subscript Represents the input shaft gear. Represents central shaft gear 1, Represents central shaft gear 2, This represents the first input gear. This represents the first gear output gear. This represents the second gear output gear. This represents the output gear, specifically for bearings. , For deep groove ball roller bearings along axis, Displacement in the axial direction, , For deep groove ball roller bearings along axis, Velocity in the axial direction, , For deep groove ball roller bearings along axis, Acceleration in the axial direction, , , For tapered roller bearings along axis, axis, Displacement in the axial direction, , , For tapered roller bearings along axis, axis, Displacement in the axial direction, , , For tapered roller bearings along axis, axis, Displacement in the axial direction;

[0104] Dynamic deformation displacement of input gear and intermediate gear 1 It can be represented as:

[0105] ;

[0106] Dynamic deformation displacement of intermediate gear 2 and first gear input gear It can be represented as:

[0107] ;

[0108] Dynamic deformation displacement of the first and second gear output gears It can be represented as:

[0109] ;

[0110] The dynamic deformation displacement of the second gear output gear and the output gear is It can be represented as:

[0111] ;

[0112] in, express The base circle radius of the gear, The pressure angle of the gear end face. For the gear helix angle, for Overall error of helical gear meshing system;

[0113] along axial direction Dynamic meshing force of helical gears ,along axial direction Dynamic meshing force of helical gears ,along axial direction Dynamic meshing force of helical gears They are respectively:

[0114] ;

[0115] in, For meshing damping, The gap function is a nonlinear factor. It is a symbolic function;

[0116] Step (4): Construct the vibration differential equation of the transmission system of new energy engineering machinery:

[0117] The vibration differential equation of the input shaft bearing 11 is:

[0118] ;

[0119] The relevant parameters of bearing 11 are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction;

[0120] The vibration differential equation of the power gear is:

[0121] ;

[0122] The relevant parameters of the drive gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , For the power gear and intermediate shaft gear 1 along axis, axis, The meshing force component in the axial direction, For torque, For input torque;

[0123] The vibration differential equation of the input shaft bearing 12 is:

[0124] ;

[0125] The relevant parameters of bearing 12 are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction;

[0126] The vibration differential equation of intermediate shaft bearing 21 is:

[0127] ;

[0128] The relevant parameters of bearing 21 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0129] The vibration differential equation of intermediate shaft gear 1 is:

[0130] ;

[0131] The relevant parameters of intermediate shaft gear 1 are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness For the torsional damping of the intermediate shaft, The torsional stiffness of the intermediate shaft. For torque;

[0132] The vibration differential equation of intermediate shaft gear 2 is:

[0133] ;

[0134] The relevant parameters of the intermediate shaft gear 2 are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , For intermediate shaft gear 2 and first gear input gear along axis, axis, The meshing force component in the axial direction, For torque;

[0135] The vibration differential equation of intermediate shaft bearing 22 is:

[0136] ;

[0137] The relevant parameters of bearing 22 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0138] The vibration differential equation for bearing 31 of the first gear drive shaft is:

[0139] ;

[0140] The relevant parameters of bearing 31 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0141] The vibration differential equation of the first input gear is:

[0142] ;

[0143] The relevant parameters for the first input gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness For the torsional damping of the first gear shaft, The torsional stiffness of the first gear shaft. For torque;

[0144] The vibration differential equation of the first gear output gear is:

[0145] ;

[0146] The relevant parameters of the first gear output gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , The first gear output gear and the second gear output gear are along axis, axis, The meshing force component in the axial direction, For torque;

[0147] The vibration differential equation of bearing 32 of the first gear drive shaft is:

[0148] ;

[0149] The relevant parameters of bearing 32 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0150] The vibration differential equation of the second-gear drive shaft bearing 41 is:

[0151] ;

[0152] The relevant parameters of bearing 41 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , Each along its axis, axis, Support force in the axial direction;

[0153] The vibration differential equation of the second gear output gear is:

[0154] ;

[0155] The relevant parameters of the first gear output gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis Axial support stiffness , , The second gear output gear and the output gear along axis, axis, The meshing force component in the axial direction, For torque;

[0156] The vibration differential equation of the second-gear drive shaft bearing 42 is:

[0157] ;

[0158] The relevant parameters of bearing 42 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0159] The vibration differential equation of the output shaft bearing 51 is:

[0160] ;

[0161] The relevant parameters of bearing 51 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0162] The vibration differential equation of the output gear is:

[0163] ;

[0164] The relevant parameters of the output gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness For torque, For input torque;

[0165] The vibration differential equation of the output shaft bearing 52 is:

[0166] ;

[0167] The relevant parameters of bearing 52 are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction;

[0168] Step (5): Solve for the vibration response characteristics of the transmission system of new energy engineering machinery. Figure 4 The equivalent vibration displacement bifurcation diagram of the output end of the transmission system of new energy construction machinery is shown. It can be seen that the dynamic response of the system exhibits alternating characteristics of single-cycle, multi-cycle and chaotic phenomena as the excitation frequency changes, which reflects the nonlinear dynamic behavior of the system. This provides a solid theoretical basis for optimizing the parameters of the transmission system of new energy construction machinery and improving its stability.

[0169] The above description is merely a preferred embodiment of the invention and does not constitute any limitation on the invention. Any modifications, alterations, or equivalent changes made to the above embodiments based on the essence of the invention shall still fall within the protection scope of the invention.

Claims

1. A new energy engineering machinery transmission system vibration intelligent analysis method, characterized in that Includes the following steps: Step (1): Solve the time-varying mesh stiffness of the helical gear in the transmission system of new energy engineering machinery; the helical gear is cut into pieces along the tooth width direction, and the equivalent spur gear cut out can be simplified as a cantilever beam with variable cross-section under the action of tooth surface load. The Hertz contact stiffness of the driving gear in the helical gear pair is solved by using the potential energy method : ； in, For Young's modulus, For tooth width, Given Poisson's ratio, consider the base circle radius of the driving wheel. Larger than the root circle radius of the driving gear and the base circle radius of the drive wheel Smaller than the root circle radius of the driving gear tooth Two scenarios, In a helical gear pair, when continuous meshing occurs, the gear pair may include a shared gear. As the driving wheel, Given the total number of helical gears in the transmission system of new energy engineering machinery, the bending stiffness of the driving wheel is solved using the potential energy method. Axial compressive stiffness Shear stiffness for: ； ； ； in, The width of the spur gear slice is given. It is the distance from the root circle along the tooth height direction to a certain cross section. Let be the distance from the current driving spur gear element to the front face of the gear. It is the distance from the point of meshing to the plane formed by the gear on the root circle. The distance from the meshing point to the gear's line of symmetry. This is the pressure angle corresponding to the meshing force on the current driving gear spur gear element. The pressure angle corresponding to the current meshing force on the end face of the driving wheel. This is the pressure angle corresponding to the current equivalent spur gear end face meshing force. It is half the angle corresponding to a single tooth of the driving gear on the base circle; Equivalent spur gear time-varying mesh stiffness cut out Is: ； Time-varying mesh stiffness of helical gear pairs To Time-varying mesh stiffness of equivalent spur gears of a sheet The sum of Step (2): Derive the bearing support force and dynamic equation of the transmission shaft of the system; In the transmission system of new energy engineering machinery, deep groove ball bearings and tapered roller bearings are mainly used for different transmission shafts. The bearing support force and dynamic equation of the two types of bearings are modeled based on parameters such as the number of balls and the diameter of the balls. Step (3): Establish the meshing force equation of the helical gear pair considering tooth backlash; consider degrees of freedom in the transmission system of new energy engineering machinery. , , They represent the first gear along axis, axis, Vibration displacement in the axial direction, , , They represent the first gear along axis, axis, Vibration velocity in the axial direction, , , They represent the first gear along axis, axis, axial acceleration of vibration. This refers to the total number of helical gears in the transmission system of new energy engineering machinery. Indicates the first The angular displacement of the gear about its axis of rotation. Indicates the first The angular velocity of the gear about its axis of rotation. Indicates the first The angular acceleration of the gear about its axis of rotation. express Dynamic deformation displacement of helical gear pair express Dynamic deformation speed of helical gear pairs express Dynamic deformation acceleration of helical gear pairs, for bearing degrees of freedom, the first When the bearing on the gear shaft is a deep groove ball bearing, the first gear of the shaft... bearing along axis, axial displacement is , ,along axis, axial velocity is , ,along axis, axial acceleration is , When the bearing is a tapered roller bearing, the first... bearing along axis, axis, The displacement in the axial direction is , , ,along axis, axis, The velocity in the axial direction is , , ,along axis, axis, The acceleration in the axial direction is , , , This refers to the total number of gear shafts in the transmission system of new energy engineering machinery. Gear With gear Dynamic deformation displacement is Can be expressed as: ； in, express The base circle radius of the gear, for Pressure angle of the end face of the driving gear in a helical gear pair. for Helix angle of the driving gear in a helical gear pair for Overall error of helical gear meshing system; along axial direction Dynamic meshing force of helical gears ,along axial direction Dynamic meshing force of helical gears ,along axial direction Dynamic meshing force of helical gears They are respectively: ； in, For meshing damping, The gap function is a nonlinear factor. It is a symbolic function; Step (4): Construct the vibration differential equation of the transmission system of new energy engineering machinery; when The gear shaft is equipped with the first Gear and a pair of deep groove ball bearings, deep groove ball bearings The vibration differential equation is: ； Among them, bearings The relevant parameters are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction; At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is: ； Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque; when The gear shaft is equipped with the first Gear and a pair of tapered roller bearings, tapered roller bearings The vibration differential equation is: ； Among them, bearings The relevant parameters are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction; At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is: ； Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque; when The gear shaft is equipped with the first Gear, First Gear and a pair of deep groove ball bearings, deep groove ball bearings The vibration differential equation is: ； Among them, bearings The relevant parameters are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction; Deep groove ball bearings The vibration differential equation is: ； Among them, bearings The relevant parameters are defined as follows: For quality, , Each along its axis, Axial support stiffness , Each along its axis, Axial support damping, , Each along its axis, Support force in the axial direction; At this time, the Gears are The differential equation for the vibration of the driven gear in the gear pair is: ； Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness for Torsional damping of the gear shaft for Torsional stiffness of the gear shaft , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque; At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is: ； Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque; when The gear shaft is equipped with the first Gear, First Gear and a pair of tapered roller bearings, tapered roller bearings The vibration differential equation is: ； Among them, bearings The relevant parameters are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction; tapered roller bearings The vibration differential equation is: ； Among them, bearings The relevant parameters are defined as follows: For quality, , , Each along its axis, axis, Axial support stiffness , , Each along its axis, axis, Axial support damping, , , Each along its axis, axis, Support force in the axial direction; At this time, the Gears are The differential equation for the vibration of the driven gear in the gear pair is: ； Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness for Torsional damping of the gear shaft for Torsional stiffness of the gear shaft , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque; At this time, the Gears are The vibration differential equation of the driving gear in the gear pair is: ； Among them, the The relevant parameters of the gear are defined as follows: For quality, For rotational inertia, , , For its along axis, axis, Axial support damping, , , For its along axis, axis, Axial support stiffness , , for gear pair edge axis, axis, The meshing force component in the axial direction, For torque; Step (5): Solve for the vibration response characteristics of the transmission system of new energy engineering machinery; obtain the dynamic response of the system as the parameters change by numerical integration, and analyze its vibration characteristics.

Images