CN116733902A - Nonlinear vibration absorber for inhibiting rotor system vibration by using bevel ring spring - Google Patents

Nonlinear vibration absorber for inhibiting rotor system vibration by using bevel ring spring Download PDF

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Publication number
CN116733902A
CN116733902A CN202310598812.XA CN202310598812A CN116733902A CN 116733902 A CN116733902 A CN 116733902A CN 202310598812 A CN202310598812 A CN 202310598812A CN 116733902 A CN116733902 A CN 116733902A
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CN
China
Prior art keywords
nonlinear
ring spring
vibration absorber
vibration
rotor system
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Pending
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CN202310598812.XA
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Chinese (zh)
Inventor
王建平
普德喜
贾晓岳
焦程程
张鹤言
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Xian University of Technology
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Xian University of Technology
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Priority to CN202310598812.XA priority Critical patent/CN116733902A/en
Publication of CN116733902A publication Critical patent/CN116733902A/en
Pending legal-status Critical Current

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Abstract

The invention discloses a nonlinear vibration absorber for inhibiting vibration of a rotor system by using a bevel ring spring, which comprises a rotor system and a nonlinear vibration absorber, wherein the rotor system is used as a main system, the nonlinear vibration absorber is used as an additional system, and a rotating shaft of the main system is connected with a mass block of the additional system through a weak stiffness spring. The device mainly provides nonlinear stiffness by means of nonlinear restoring force of the bevel ring spring, is matched with damping, transmits vibration energy of a main system to the nonlinear absorber through the weak stiffness spring, and absorbs and dissipates the energy by means of the bevel ring spring and the damping in the nonlinear absorber, so that the purpose of inhibiting vibration of a rotor system is achieved; the nonlinear vibration absorber manufactured by the bevel ring spring has the advantages of simple and compact structure, small additional mass, high reliability, good stability and convenient use.

Description

Nonlinear vibration absorber for inhibiting rotor system vibration by using bevel ring spring
Technical Field
The invention belongs to the technical field of rotor system vibration reduction, and relates to a nonlinear vibration absorber for inhibiting rotor system vibration by using a bevel ring spring.
Background
Vibration is an important aspect of the operation of a rotary machine that affects the safety thereof, and serious vibration can cause serious damage to a rotor system, endangering the healthy and stable operation of the rotary machine. For a multi-span rotor, when the running speed exceeds the first-order critical rotation speed, strong resonance can occur in the system, the stable running of the system is seriously affected, and along with the increasing requirements on the running precision and stability of the rotary machine, the vibration suppression of the rotor system is particularly important. There are various methods for vibration suppression of a rotor system, and one of the vibration control methods that is effective and widely used is to add a dynamic vibration absorber to the rotor system, typically by adding a small mass to the rotor system, and the energy of the rotor system is transferred to the vibration absorber, thereby suppressing the vibration of the rotor system.
Currently, there are various types of vibration dampers for rotor systems, including passive vibration dampers and active vibration dampers, and variable stiffness vibration dampers, among others. The passive shock absorber has the most wide application, simple structure and no energy source, but has narrow effective shock absorption band and great limitation in practical application; the active vibration absorber has high control precision, but has a complex structure, and is difficult to be applied in practice, and the limitations of the two types of vibration absorbers limit the application of the two types of vibration absorbers in practice.
For the disadvantages of the passive and active vibration absorbers, a new vibration suppression device must be developed to meet the requirements of modern machinery, simple structure, wide vibration absorption and suppression band and practical application, and the nonlinear vibration absorber becomes a new development direction.
Disclosure of Invention
The invention aims to provide a nonlinear vibration absorber for inhibiting vibration of a rotor system by using a bevel ring spring, which solves the problems of complex structure and unsatisfactory vibration inhibiting effect of the rotor system vibration reduction and nonlinear vibration absorber in the prior art.
The technical scheme includes that the nonlinear vibration absorber for inhibiting vibration of a rotor system by using a bevel ring spring comprises a rotor system and the nonlinear vibration absorber, wherein the rotor system is used as a main system, the nonlinear vibration absorber is used as an additional system, and a rotating shaft of the main system is connected with a mass block of the additional system through a weak stiffness spring.
The nonlinear vibration absorber for inhibiting the vibration of the rotor system by using the bevel ring spring is further characterized in that:
the main system is structurally characterized by comprising a base, wherein a pair of bearing seats and a pair of motor seats are arranged in a longitudinal mounting groove of the base, a first bearing is arranged on each bearing seat, a rotating shaft penetrates through the first bearing, a motor is arranged in the pair of motor seats, an output shaft of the motor is in driving connection with the rotating shaft through a coupler, and a turntable is sleeved in the middle section of the rotating shaft.
The rotary table is used as a rotating part of the main system, the motor is used as a power source of the main system, and the rotating shaft transmits power by means of the coupler.
The nonlinear vibration absorber comprises an oblique ring spring inner clamp and an oblique ring spring outer clamp, wherein an oblique ring spring and damping are respectively arranged in two annular grooves between the oblique ring spring outer clamp and the oblique ring spring inner clamp; the inner wall of the oblique ring spring inner clamp is provided with four blind holes I in the mutually perpendicular direction, and meanwhile, four surfaces of the supporting piece are provided with blind holes II respectively for installing the weak stiffness springs, the supporting piece is connected with the oblique ring spring inner clamp through the four weak stiffness springs, the connection coupling of the nonlinear vibration absorber and the main system is realized, and the supporting piece is sleeved on the rotating shaft through the bearings II.
The outer clamp of the inclined ring spring is connected with the bracket through a bolt, and the bottom of the bracket is fixed on the base.
The beneficial effects of the invention are that the invention comprises the following aspects:
1) The nonlinear stiffness required by the inside of the vibration absorber is fitted through the nonlinear restoring force characteristic of the bevel ring spring, so that the vibration absorber has high-efficiency vibration suppression capability and energy absorption capability, and has good suppression performance on the broadband vibration of a rotor system.
2) The inclined ring spring has a simple structure, the annular structure of the inclined ring spring is very matched with a rotor system, the nonlinear restoring force provided by the inclined ring spring always points to the center of the rotor, and the symmetrical structure of the inclined ring spring can ensure that the inclined ring spring has stable load distribution and avoids local deformation and fracture caused by load concentration.
3) The whole set of rotor system device utilizes the characteristic that the nonlinear absorber can absorb and dissipate vibration energy, and the nonlinear absorber containing the bevel ring spring is formed, so that the nonlinear absorber has a wider vibration suppression frequency band than the linear absorber and has a better vibration suppression effect.
Drawings
FIG. 1 is a schematic diagram of the complete rotor system of the apparatus of the present invention;
FIG. 2 is a schematic diagram of a main system structure in the present invention;
FIG. 3 is a schematic diagram of the components of the nonlinear vibration absorber of the present invention connected to a rotor system;
FIG. 4 is a schematic diagram of a second component of the nonlinear vibration absorber of the present invention connected to a rotor system;
FIG. 5 is a schematic illustration of the inner and outer double ring structure of the present invention;
FIG. 6 is a schematic view of the structure of the inner clamp of the canted coil spring of the present invention;
FIG. 7 is a schematic view of the construction of the canted coil spring of the present invention;
FIG. 8 is a schematic view of the structure of the outer clamp of the canted coil spring of the present invention;
FIG. 9 is a plot of the non-linear stiffness and fit of a canted coil spring employed in the present invention;
FIG. 10 is a physical model of a rotor system of the apparatus of the present invention;
FIG. 11 is a graph showing the amplitude versus frequency characteristics of a nonlinear absorber rotor system in accordance with embodiment 1 of the present invention and a prior art rotor system;
FIG. 12 is a time domain response plot of a rotor system of embodiment 2 of the present invention;
fig. 13 is a time-domain response chart of a nonlinear absorber of embodiment 2 of the present invention.
FIG. 14 is a time domain response plot of a rotor system of embodiment 3 of the present invention;
fig. 15 is a time-domain response chart of a nonlinear absorber according to embodiment 3 of the present invention.
In the figure, the bearing seat 1, the inclined ring spring 2, the weak stiffness spring 3, the base 4, the motor seat 5, the coupler 6, the motor 7, the bearing 8, the first bearing 9, the rotary disk 10, the damping 11, the inclined ring spring outer clamp 12, the inclined ring spring inner clamp 13, the supporting piece 14, the bracket 15, the rotary shaft 16 and the second bearing.
Detailed Description
The invention will be described in detail below with reference to the drawings and the detailed description.
The integral structure of the invention comprises two parts: the rotor system acts as the main system, see fig. 2; the nonlinear absorber is used as an additional system, and a rotating shaft 15 of the main system is connected with a mass block of the additional system through a weak stiffness spring 3, as shown in fig. 3.
Referring to fig. 1 and 2, the main system comprises a base 4, a pair of bearings 1 and a pair of motor bases 5 are installed in a longitudinal installation groove of the base 4, a first bearing 8 is installed on each bearing base 1, a rotating shaft 15 is penetrated in the first bearing 8, a motor 7 is installed in the motor bases 5, an output shaft of the motor 7 is in driving connection with the rotating shaft 15 through a coupler 6, and a turntable 9 is sleeved at the middle section of the rotating shaft 15; the turntable 9 is used as a rotating part of the main system, the motor 7 is used as a power source of the main system, and the rotating shaft 15 transmits power by means of the coupler 6.
Referring to fig. 3, 4, 5, 6, 7 and 8, the nonlinear vibration absorber has a structure comprising an inner inclined ring spring clamp 12 (also called a vibration absorbing mass block) and an outer inclined ring spring clamp 11, wherein an inclined ring spring 2 and a damper 10 are respectively arranged in two annular grooves between the outer inclined ring spring clamp 11 and the inner inclined ring spring clamp 12; the inner wall of the oblique ring spring inner clamp 12 is provided with four blind holes I in the direction perpendicular to each other, meanwhile, four surfaces of the supporting piece 13 are provided with blind holes II respectively for installing the weak stiffness springs 3, the supporting piece 13 is connected with the oblique ring spring inner clamp 12 through the four weak stiffness springs 3 to realize the connection coupling of the nonlinear vibration absorber and a main system, the supporting piece 13 is sleeved on the rotating shaft 15 through a bearing II 16, and the bearing II 16 has the function of preventing the nonlinear vibration absorber from rotating along with the rotating shaft 15; the outer clamp 11 of the bevel ring spring is fixed in a longitudinal mounting groove of the base 4 through a bracket 14.
The weak rate spring 3 plays a role of connecting the rotor system and the nonlinear vibration absorber, and limits disturbance of the nonlinear vibration absorber only in the circumferential direction of the body. The inclined ring spring 2 and the damper 10 are both arranged on the inclined ring spring inner clamp 12, the inclined ring spring outer clamp 11 plays a role in installing and limiting the inclined ring spring inner clamp, the inclined ring spring outer clamp 11 is connected with the support 14 through bolts, the bottom of the support 14 is fixed on the base 4, namely, the grounding purpose of the inclined ring spring outer clamp 11 is achieved, and the rotation of the nonlinear vibration absorber is limited.
Example 1
Referring to FIG. 9, a nonlinear stiffness curve of a weak stiffness spring 3 used in a nonlinear vibration absorber of the present invention and a fitted curve are shown, wherein the fitted nonlinear stiffness is three nonlinear stiffness, and is shown as f nk (x)=k 1 x+k 2 x 2 +k 3 x 3 ,k 1 、k 2 、k 3 Is the nonlinear stiffness coefficient of the weak stiffness spring 3.
Referring to fig. 10, which is a system physical model of the device of the present invention, the system is an isotropic system, the gyroscopic effect of the system is ignored, and the kinetic equation of the system is:
wherein m is rotor mass, k n For the stiffness, k, of the weak springs 3 x 、k y C is the rigidity of the bearing support of the two ends 1x 、c 1y E, damping at bearing support d For the eccentric distance of the rotor, m n K being the mass of the shock-absorbing mass 1 、k 2 、k 3 C is the nonlinear stiffness coefficient of the bevel ring spring 2x 、c 2y Damping is carried out by a nonlinear absorber, omega is the rotating speed of a rotor, x and y are the displacement of a rotor system, and x n 、y n Is not aDisplacement of linear vibration absorber, x, y, x n 、y n The upper one represents the first derivative, i.e. the speed; x, y, x n 、y n The upper two points represent the second derivative, i.e. acceleration.
The system parameters given in example 1 are: m=1kg, k n =4000N/m,k x =k y =7.6×10 4 N/m,c 1x =c 1y =10N.s/m,e d =3×10 -5 m,m n =0.08kg,k 1 =6.25×10 2 N/m,k 2 =-5.339×10 5 N/m 2 ,k 3 =1.61×10 10 N/m 3 ,c 2x =c 2y =4N.s/m。
As can be seen from fig. 11, the steady state response resonance amplitude of the rotor system without the nonlinear absorber is 0.82mm, while the steady state response resonance amplitude of the rotor system after the nonlinear absorber of the present invention is added is 0.3mm, which is reduced by about 63% from the maximum amplitude without the nonlinear absorber, showing that the nonlinear absorber of the present invention has excellent vibration suppression performance, and the resonance area thereof is wider than that of the nonlinear absorber system without the nonlinear absorber, further illustrating that the nonlinear absorber of the present invention has broadband vibration suppression effect.
Example 2
On the basis of the embodiment 1, the rotating speed 288.8rad/s of a resonance area is given to the rotor system, namely 46Hz, the time domain representation of the rotor system and the nonlinear absorber is shown in fig. 12 and 13, and as can be seen from fig. 12 and 13, the time domain representation of the rotor system and the nonlinear absorber is in a beat wave form, namely the emphasized response (Strongly modulated response, SMR) behavior between the rotor system and the nonlinear absorber is demonstrated, and the energy transfer phenomenon between the rotor system and the nonlinear absorber is demonstrated, namely the nonlinear absorber absorbs and dissipates the energy of the rotor system, so that the vibration of the rotor system is inhibited.
Example 3
On the basis of the embodiment 1, a rotating speed 314rad/s, namely 60Hz, is given to the rotor system, the initial excitation rotating speed of the system is set to be 0.5m/s, the time domain performance of the rotor system and the nonlinear vibration absorber is shown as shown in fig. 14 and 15, the vibration energy of the rotor system is suddenly attenuated between 0.2s and 0.4s as shown in fig. 14 and 15, namely, the vibration absorber shows excellent vibration suppression performance, and the (Targeted energy transfer, TET) behavior between the rotor system and the nonlinear vibration absorber is combined with fig. 15, so that the nonlinear vibration absorber is directly proved to have the effect of suppressing transient impact.
In summary, when the nonlinear vibration absorber of the present invention works, after the rotor system vibrates, vibration energy is transferred to the vibration absorbing mass block through the weak stiffness spring 3, the vibration absorbing mass block transfers vibration to the diagonal ring spring 2 and the damper 10, and vibration energy is absorbed and dissipated through the diagonal ring spring 2 and the damper 10, so that the overall vibration of the rotor system is suppressed.

Claims (5)

1. A nonlinear vibration absorber for inhibiting rotor system vibration by using a bevel ring spring is characterized in that: the vibration absorber comprises a rotor system and a nonlinear vibration absorber, wherein the rotor system is used as a main system, the nonlinear vibration absorber is used as an additional system, and a rotating shaft (15) of the main system is connected with a mass block of the additional system through a weak stiffness spring (3).
2. The nonlinear vibration absorber for suppressing vibration of a rotor system using a canted coil spring according to claim 1, wherein: the structure of the main system is that the main system comprises a base (4), a pair of bearings (1) and a pair of motor bases (5) are arranged in a longitudinal installation groove of the base (4), a first bearing (8) is arranged on each bearing base (1), a rotating shaft (15) is penetrated in the first bearing (8), a motor (7) is arranged in the pair of motor bases (5), an output shaft of the motor (7) is in driving connection with the rotating shaft (15) through a coupling (6), and a turntable (9) is sleeved in the middle section of the rotating shaft (15).
3. The nonlinear vibration absorber for suppressing vibration of a rotor system using a canted coil spring according to claim 2, wherein: the rotary table (9) is used as a rotating part of a main system, the motor (7) is used as a power source of the main system, and the rotary shaft (15) transmits power by means of the coupler (6).
4. The nonlinear vibration absorber for suppressing vibration of a rotor system using a canted coil spring according to claim 1, wherein: the nonlinear vibration absorber has the structure that the nonlinear vibration absorber comprises an oblique ring spring inner clamp (12) and an oblique ring spring outer clamp (11), and an oblique ring spring (2) and a damping (10) are respectively arranged in two annular grooves between the oblique ring spring outer clamp (11) and the oblique ring spring inner clamp (12); four blind holes I are formed in the direction perpendicular to the inner wall of the inner inclined ring spring clamp (12), and meanwhile, blind holes II are formed in the four faces of the supporting piece (13) respectively and are used for installing the weak stiffness springs (3), the supporting piece (13) is connected with the inner inclined ring spring clamp (12) through the four weak stiffness springs (3), connection coupling of the nonlinear vibration absorber and a main system is achieved, and the supporting piece (13) is sleeved on the rotating shaft (15) through the bearings II (16).
5. The nonlinear vibration absorber for suppressing vibration of a rotor system using a canted coil spring according to claim 4, wherein: the outer clamp (11) of the bevel ring spring is connected with a bracket (14) through bolts, and the bottom of the bracket (14) is fixed on the base (4).
CN202310598812.XA 2023-05-25 2023-05-25 Nonlinear vibration absorber for inhibiting rotor system vibration by using bevel ring spring Pending CN116733902A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202310598812.XA CN116733902A (en) 2023-05-25 2023-05-25 Nonlinear vibration absorber for inhibiting rotor system vibration by using bevel ring spring

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202310598812.XA CN116733902A (en) 2023-05-25 2023-05-25 Nonlinear vibration absorber for inhibiting rotor system vibration by using bevel ring spring

Publications (1)

Publication Number Publication Date
CN116733902A true CN116733902A (en) 2023-09-12

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Application Number Title Priority Date Filing Date
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