CN108331882B - Rotor system dynamic vibration absorber utilizing nonlinear energy trap mechanism - Google Patents
Rotor system dynamic vibration absorber utilizing nonlinear energy trap mechanism Download PDFInfo
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- CN108331882B CN108331882B CN201810125902.6A CN201810125902A CN108331882B CN 108331882 B CN108331882 B CN 108331882B CN 201810125902 A CN201810125902 A CN 201810125902A CN 108331882 B CN108331882 B CN 108331882B
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- Prior art keywords
- vibration absorber
- rotor system
- mass block
- dynamic vibration
- piecewise linear
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F15/00—Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
- F16F15/10—Suppression of vibrations in rotating systems by making use of members moving with the system
- F16F15/14—Suppression of vibrations in rotating systems by making use of members moving with the system using masses freely rotating with the system, i.e. uninvolved in transmitting driveline torque, e.g. rotative dynamic dampers
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F15/00—Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
- F16F15/02—Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems
- F16F15/04—Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems using elastic means
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Acoustics & Sound (AREA)
- Aviation & Aerospace Engineering (AREA)
- Mechanical Engineering (AREA)
- Vibration Prevention Devices (AREA)
Abstract
The invention discloses a dynamic vibration absorber of a rotor system by utilizing a nonlinear energy trap mechanism, which comprises a vibration absorber body and a supporting component fixing device. The vibration absorber body comprises a supporting component, a connecting component and a vibration absorber mass block. The support assembly comprises a bearing, a support and a shaft sleeve; the connecting assembly comprises a nut, a connecting rod and a piecewise linear rod, and the piecewise linear rod forms piecewise linear rigidity and fits nonlinear cubic rigidity; the mass block of the absorbing vibrator is provided with a connecting hole and a clearance hole which are matched with the connecting component. The absorber mass block and the piecewise linear rod are in clearance fit to form a nonlinear energy trap mechanism. The supporting component fixing device comprises a bolt, a fixing frame, a spring and a connecting sheet. The invention can effectively inhibit the vibration of the rotor system broadband, and belongs to the field of vibration noise control. The whole structure is compact, the additional mass is small, the reliability is high, the use is convenient, and external energy supply is not needed.
Description
Technical Field
The invention relates to the technical field of vibration noise control, in particular to a rotor system dynamic vibration absorber utilizing a nonlinear energy trap mechanism, which is used for suppressing vibration of a rotor system of a core component of a rotary machine.
background
Vibration is a typical hazard for the safe operation of rotating machinery, and excessive vibration can cause serious damage to the rotating machinery. The rotating machinery is often used as a core device in the national industrial field, vibration is often generated due to unbalance and the like, particularly for a multi-span rotor, the working rotating speed of the multi-span rotor is usually above a first-order critical rotating speed, the multi-span rotor must pass through the critical rotating speed in the starting and stopping stages, and strong resonance can occur at the moment, so that the stable operation of a unit is seriously influenced. With the continuing efforts of the national equipment manufacturing project "2025", increasingly high demands are being made on the efficient, reliable and long-term stable operation of rotating machines. Therefore, efficient control of the vibration of the rotor system is particularly important and an urgent problem to be solved.
Among the many methods of controlling the vibration of rotary machines, the addition of a dynamic vibration absorber is a common method. By adding the vibration absorber, the vibration of the rotary machine can be transmitted to the vibration absorber with a small mass and maintain the low-frequency vibration. Dynamic vibration absorbers can be divided into two types: passive vibration absorbers and active (semi-active) vibration absorbers.
at present, the passive vibration absorber is widely used in the field of vibration suppression of rotating machinery, and although the passive vibration absorber has the characteristics of simple structure and no need of energy source, the practical application of the passive vibration absorber has greater limitation due to the narrow vibration suppression frequency band; although the active vibration absorber has the advantages of high control precision and sensitive response, the structure of the active vibration absorber is too complicated, so that the applicability of the active vibration absorber is reduced.
As mentioned above, passive vibration absorbers have a narrow frequency range for effective vibration suppression, while active or semi-active vibration absorbers are quite complex in structure. A new vibration suppression device must be developed to meet the requirements of simple structure and wide vibration suppression band of modern rotating machinery.
Disclosure of Invention
The invention aims to provide a dynamic vibration absorber of a rotor system by utilizing a nonlinear energy trap mechanism, and the key point is utilization of a method for fitting a segmented linear stiffness rod with nonlinear stiffness. Therefore, the implementation technical scheme adopted by the invention is as follows:
a dynamic vibration absorber of rotor system based on non-linear energy trap mechanism is composed of a disk and a shaft, and is composed of a main body consisting of supporting unit, connecting unit and mass block of vibration absorber, and a fixing unit for said main body.
The support assembly comprises a bearing, a support plate and a shaft sleeve, and the bearing is fixedly connected in the support plate; the shaft sleeve is used for preventing the axial movement of the vibration absorber body; the supporting plate is connected with the vibration absorber mass block through a connecting assembly;
Inhale and be equipped with 8 through-holes on the same circumference of oscillator quality piece, with the coupling assembling cooperation:
the connecting assembly comprises two connecting rods, four piecewise linear rods and nuts, the connecting rods fixedly connect the vibration absorber mass block with the supporting disc through the nuts, one ends of the piecewise linear rods are fixedly connected with the supporting disc through the nuts, and the other ends of the piecewise linear rods are in clearance fit with clearance holes of the vibration absorber mass block.
The supporting component fixing device is used for fixing a supporting disk and preventing the supporting disk from rotating along with a bearing, and comprises a bolt, two fixing frames, four springs, a first connecting sheet and a second connecting sheet which are of two types; the supporting disk is connected with the fixing frame through bolts by the connecting sheet I, the spring and the connecting sheet II, and the fixing frame is fixedly connected with the outer rack.
The invention has the advantages that:
1. the bearing in the whole set of device avoids the rotation of the vibration absorber body along with the shaft, the spring allows the circumferential of the vibration absorber body to be disturbed a little, and the shaft sleeve avoids the vibration absorber body from moving in the axial direction. The working state of the device is specified.
2. the length of the connecting rod and the piecewise linear rod in the whole set between the supporting disk and the mass block of the vibration absorber can be changed within a certain range by rotating the nut. The rigidity of the vibration absorber body can be effectively adjusted, and the vibration of the rotor system under different working conditions can be further met.
3. The holes on the vibration absorber mass blocks in the whole set are matched and connected with the shaft and the connecting assembly, the diameters of the holes and the mass of the vibration absorber mass blocks can be adjusted by replacing different vibration absorber mass blocks, so that the vibration absorber mass blocks and the piecewise linear rods are in clearance fit and adjustable, the nonlinear cubic rigidity of the body fitting of the vibration absorber is further adjusted, and different body parts of the vibration absorber are designed, so that the vibration of a rotor system under different working conditions can be absorbed.
4. the two connecting rods in the whole device are same in diameter and are installed in parallel, the diameters of the four piecewise linear rods are different, the four piecewise linear rods are installed in parallel and are installed in a crossed mode, and the piecewise linear rods and the vibration absorber mass block are in clearance fit and adjustable by replacing the piecewise linear rods in different groups (the piecewise linear fitting rules are different, but the cubic rules are changed), so that the nonlinear cubic rigidity fitted by the vibration absorber body is adjusted. Different body parts of the vibration absorber of the invention are designed, and the vibration of the rotor system under different working conditions can be absorbed.
5. The fixing frame in the whole device is in fit connection with the outer frame, which is important in play of the supporting component fixing device, the spring is used for reducing the rigidity of the supporting component fixing device, and the rigidity value of the spring is variable by replacing the spring. Two of the left and right four springs are arranged in a right angle, so that the acting forces of the springs in the cross vertical direction are mutually offset.
6. The whole set of device utilizes the clearance fit of the piecewise linear rod and the vibration absorber mass block to generate nonlinear cubic rigidity, and utilizes a nonlinear energy trap mechanism to form the dynamic vibration absorber, so that the vibration suppression band of the dynamic vibration absorber is wider than that of a linear vibration absorber. The whole set of device has reasonable design, simple and compact structure and strong applicability, and overcomes the short plate of the prior vibration suppression technology of the rotating machinery. The vibration suppression effect is obvious, and the defects in the current vibration suppression field are overcome.
7. the nonlinear energy trap structure is a lightweight device coupled with a rotor system through a key nonlinear fitting element (a connecting rod and a piecewise linear rod), wherein the lightweight device refers to a tiny vibration absorber mass block, and nonlinear cubic rigidity is fitted in the tiny vibration absorber mass block, so that the vibration absorber body has extremely high-efficiency vibration energy absorption capacity, and has better inhibition performance on broadband vibration of the rotor system.
Drawings
FIG. 1 is a schematic structural diagram of a rotor system dynamic vibration absorber using a nonlinear energy trap mechanism according to the present invention applied to a specific rotor system;
FIG. 2 is a schematic diagram of the structure of the vibration absorber body of the dynamic vibration absorber of the rotor system using the nonlinear energy trap mechanism according to the present invention
FIG. 3 is a schematic structural diagram of a rotor system dynamic vibration absorber with a non-linear energy trap mechanism and a support assembly without a shaft sleeve according to the present invention;
FIG. 4 is a schematic view of a rotor system dynamic vibration absorber coupling assembly utilizing a nonlinear energy trap mechanism in accordance with the present invention;
FIG. 5 is a schematic view of a vibration absorber mass with a set diameter of clearance holes of a rotor system dynamic vibration absorber utilizing a nonlinear energy trap mechanism in accordance with the present invention;
FIG. 6 is a schematic view of a fixing frame of a dynamic vibration absorber of a rotor system using a nonlinear energy trap mechanism according to the present invention;
Fig. 7 is a mechanism fitting curve diagram of a sectional linear stiffness and a nonlinear cubic stiffness of the dynamic vibration absorber of a rotor system utilizing a nonlinear energy trap mechanism according to the invention.
Fig. 8 is a graph showing the amplitude-frequency characteristics of a rotor system without the vibration suppressing dynamic vibration absorber of the rotor system of the present invention.
Fig. 9 is a graph showing the amplitude-frequency characteristics of the rotor system and the vibration absorber after the rotor system is provided with the vibration-suppressing dynamic vibration absorber of the rotor system according to the present invention.
Detailed Description
The dynamic vibration absorber for suppressing vibration of a rotor system according to the present invention will be described in further detail with reference to fig. 1 to 9 by way of example.
A dynamic vibration absorber of a rotor system by utilizing a nonlinear energy trap mechanism, the rotor system comprises a disc 5 and a shaft 7, the shaft 7 is fixedly arranged on an outer frame 15 through a shaft end support 16, the dynamic vibration absorber comprises a vibration absorber body and a support component fixing device, the vibration absorber body comprises a support component, a connecting component and a vibration absorber mass block 14;
The support assembly comprises a bearing 8, a support plate 6 and a shaft sleeve 2, and the bearing 8 is fixedly connected in the support plate 6; the shaft sleeve 2 is used for preventing the axial movement of the vibration absorber body; the supporting plate 6 is connected with the vibration absorber mass block 14 through a connecting assembly;
The connecting assembly comprises two connecting rods 10, four segmented linear rods 13 and a nut 1, wherein the connecting rods 10 fixedly connect the vibration absorber mass block 14 with the supporting plate 6 through the nut 1, one end of each segmented linear rod 13 is fixedly connected with the supporting plate 6 through the nut 1, and the other end of each segmented linear rod 13 is in clearance fit with a clearance hole of the vibration absorber mass block 14;
the same circumference of the vibrator absorbing mass block 14 is provided with 8 connecting holes, wherein four connecting holes with the same diameter are distributed in a crossed manner and are matched and connected with a connecting rod (10); wherein the other four connecting holes with different diameters are distributed in a crossed manner and are matched and connected by gap hole segmented linear rods (13);
The supporting component fixing device is used for fixing the supporting disk 6 and preventing the supporting disk 6 from rotating along with the bearing 8, and comprises a bolt 4, two fixing frames 12, four springs 3, two types of first connecting sheets 9 and two types of second connecting sheets 11; the supporting disc 6 is connected with a fixed frame 12 through a bolt 4 by a connecting sheet I9, a spring 3 and a connecting sheet II 11, and the fixed frame 12 is fixedly connected with an outer frame 15;
two connecting rods 10 of the connecting component have the same diameter and are respectively fixed together with the through hole of the supporting disk 6 and the connecting hole on the vibration absorber mass block 14 by the nut 1 and connected in parallel. The four segmented linear rods 13 are different in diameter and are in stepped shaft shapes, are fixed together with the through hole of the supporting plate 6 through the nut 1, and form clearance fit with the clearance hole of the vibration absorber mass block 14, and are also connected in parallel. The segmented linear rod 13 with high rigidity corresponds to a clearance hole with large diameter on the mass block 14 of the oscillator absorber.
The whole set of dynamic vibration absorber device is assembled on the shaft at one side of the disc 5.
The length of the connecting rod 10 and the piecewise linear rod 13 between the support plate 6 and the absorber mass 14 is adjusted by turning the nut 1, thereby adjusting the stiffness of the absorber body.
The diameters and lengths of the connecting rod 10 and the piecewise linear rod 13, the diameter of the holes in the absorber mass 14 and the mass of the absorber mass 14 can be changed by appropriate calculation to meet the requirements of the rotor system for absorbing vibration under various working conditions.
the rigidity of the spring 3 in the supporting component fixing device has no specific requirement, and the rigidity value can be changed by replacing different springs 3. The cross arrangement is adopted, two of the left and right groups of four springs are arranged in a right angle, and the spring forces in the cross vertical direction can be mutually offset.
When the dynamic vibration absorber works, after the rotor system vibrates, the vibration force is transmitted to the supporting component and the connecting component, the connecting rod 10 vibrates to drive the vibration absorbing mass block 14 to vibrate, the vibration absorbing mass block 14 is further contacted and collided with the four segmented linear rods 13, and the vibration force is further transmitted to the vibration absorbing mass block 14, so that dynamic vibration absorption is realized. During the operation of the vibration absorber body, the piecewise linear stiffness is formed by the clearance fit of the piecewise linear rod 13 and the vibration absorber mass 14, fitting a nonlinear cubic stiffness. And a nonlinear energy trap mechanism is utilized, so that the vibration suppression effect is good.
a spring with cubic non-linearity has a reaction force to stiffness relationship of y-kx 3. The mechanism of the piecewise linear stiffness fitting nonlinear stiffness is given in FIG. 7, and the fitting effect is very good as can be seen from the figure, so that the effectiveness of the piecewise linear stiffness fitting nonlinear stiffness fitting is illustrated, and the reasonability of the design is also illustrated from the side.
The experimental procedure for applying the dynamic vibration absorber of the present invention to a specific rotor system to suppress vibrations (given a clearance fit of the piecewise linear rods 13 to the absorber masses 14) is as follows:
when the rotor system rotates and the vibration is too small, the vibration force is transmitted to the connecting rod 10 by the supporting component, the vibration amplitude of the connecting rod 10 is smaller than the relative clearance between the piecewise linear rod 13 and the vibration absorber mass block 14 clearance hole, at the moment, the piecewise linear rod 13 is not in contact with the vibration absorber mass block 14, and only the connecting rod 10 is in matched connection with the vibration absorber mass block 14. At the moment, the body of the dynamic vibration absorber is equivalent to a linear dynamic vibration absorber, and the vibration suppression effect is not obvious;
when the vibration is too large, the rod with lower rigidity in the piecewise linear rods 13 is contacted and collided with the clearance hole with the small diameter of the vibration absorber mass block 14, and along with the second, the third and the fourth piecewise linear rods 13 are contacted and collided with the vibration absorber mass block 14, the vibration force of the rotor system is further transmitted to the vibration absorber mass block 14, and the dynamic vibration absorption is realized.
The experimental results are shown in fig. 8 and fig. 9 by comparing, and it can be seen that the dynamic vibration absorber of a rotor system using a nonlinear energy trap mechanism according to the present invention has an efficient and reliable suppression effect on the vibration of the rotor system resonance region, and has a wide suppression frequency band.
In summary, the above description is only a preferred embodiment of the rotor system dynamic vibration absorber using the nonlinear energy trap mechanism, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention shall be included in the protection scope of the patent claims of the present invention.
Claims (9)
1. A dynamic vibration absorber of a rotor system by utilizing a nonlinear energy trap mechanism, the rotor system comprises a disc (5) and a shaft (7), the shaft (7) is fixedly arranged on an outer frame (15) through a shaft end support (16),
the dynamic vibration absorber comprises a vibration absorber body and a supporting component fixing device, wherein the vibration absorber body comprises a supporting component, a connecting component and a vibration absorber mass block (14);
The support assembly comprises a bearing (8), a support plate (6) and a shaft sleeve (2), and the bearing (8) is fixedly connected in the support plate (6); the shaft sleeve (2) is used for preventing the axial movement of the vibration absorber body; the supporting plate (6) is connected with the vibration absorber mass block (14) through a connecting assembly;
the connecting assembly comprises two connecting rods (10), four segmented linear rods (13) and a nut (1), wherein the connecting rods (10) fixedly connect the vibration absorber mass block (14) with the supporting plate (6) through the nut (1), one ends of the segmented linear rods (13) are fixedly connected with the supporting plate (6) through the nut (1), and the other ends of the segmented linear rods (13) are in clearance fit with clearance holes of the vibration absorber mass block (14);
The same circumference of the vibration absorber mass block (14) is provided with 8 through holes which are matched with the connecting component,
the supporting component fixing device is used for fixing the supporting disk (6) and preventing the supporting disk (6) from rotating along with the bearing (8), and comprises a bolt (4), two fixing frames (12), four springs (3), two types of first connecting sheets (9) and second connecting sheets (11); the supporting disk (6) is connected with a fixed frame (12) through a bolt by a connecting sheet I (9), a spring (3) and a connecting sheet II (11), the fixed frame (12) is fixedly connected with an outer frame (15),
The dynamic vibration absorber is mounted on the shaft on one side of the disc (5).
2. A rotor system dynamic vibration absorber using nonlinear energy trap mechanism as defined in claim 1 wherein the length of the connecting rod (10) and the piecewise linear rod (13) between the support plate (6) and the absorber mass (14) is adjusted by turning the nut (1) to adjust the stiffness of the absorber body.
3. the dynamic vibration absorber of rotor system using nonlinear energy trap mechanism as claimed in claim 1, wherein two connecting rods (10) are same in diameter, installed in parallel, and four piecewise linear rods (13) are different in diameter, also installed in parallel, and stepped shaft-like.
4. The dynamic vibration absorber of a rotor system using a nonlinear energy trap mechanism as claimed in claim 1, wherein when the dynamic vibration absorber is operated, the rotor system vibrates and then transmits vibration force to the connecting rod (10) and the piecewise linear rods (13) in the supporting assembly and connecting assembly, the connecting rod (10) vibrates to drive the vibration absorber mass block (14) to vibrate, further the vibration absorber mass block (14) is contacted and collided with the four piecewise linear rods (13) to further transmit the vibration force to the vibration absorber mass block (14) to realize dynamic vibration absorption, and during the operation of the vibration absorber body, the vibration absorber mass block (14) and the piecewise linear rods (13) are in clearance fit to form piecewise linear stiffness and fitting nonlinear cubic stiffness.
5. A rotor system dynamic vibration absorber using nonlinear energy trap mechanism as defined in claim 1 wherein the length and diameter of the connecting rod (10), the length and diameter of the piecewise linear rod (13), the diameter of the holes in the absorber mass (14) and the mass of the absorber mass (14) are replaceable by appropriate calculation to meet the requirements of the rotor system for vibration absorption under various operating conditions.
6. The dynamic vibration absorber of a rotor system using a nonlinear energy trap mechanism as claimed in claim 1, wherein the vibration absorber mass (14) is formed with four coupling holes and four clearance holes on the same circumference in a cross arrangement.
7. the dynamic vibration absorber of rotor system utilizing nonlinear energy trapping mechanism as claimed in claim 1, wherein,
A plurality of connecting holes are formed in the same circumference of the vibration absorber mass block (14); wherein, the four connecting holes with the same diameter are distributed in a cross way and are matched and connected with the connecting rod (10); wherein the other four connecting holes with different diameters are distributed in a crossed manner to form clearance holes which are matched and connected with the segmented linear rod (13).
8. A rotor system dynamic vibration absorber using a nonlinear energy trap mechanism as defined in claim 1 wherein the stiffness of the springs (3) in the support member fixing means is not specifically required and the stiffness value is variable by replacing different springs.
9. The dynamic vibration absorber of a rotor system using a nonlinear energy trap mechanism as claimed in claim 1, wherein the springs (3) in the supporting member fixing means are arranged in a crossing manner such that two of the four springs in the right and left groups are arranged at right angles to each other, and such that the spring forces in the crossing perpendicular direction are offset from each other.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201810125902.6A CN108331882B (en) | 2018-02-08 | 2018-02-08 | Rotor system dynamic vibration absorber utilizing nonlinear energy trap mechanism |
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| Application Number | Priority Date | Filing Date | Title |
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| CN201810125902.6A CN108331882B (en) | 2018-02-08 | 2018-02-08 | Rotor system dynamic vibration absorber utilizing nonlinear energy trap mechanism |
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| CN108331882A CN108331882A (en) | 2018-07-27 |
| CN108331882B true CN108331882B (en) | 2019-12-06 |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109139793B (en) * | 2018-10-09 | 2020-02-11 | 东北大学 | Nonlinear vibration absorber with multistable rigidity |
| CN111424832B (en) * | 2020-03-23 | 2021-08-17 | 广州大学 | Tuned mass damper with adjustable nonlinear energy trap and inertial volume |
| CN113565913B (en) * | 2021-07-26 | 2023-03-24 | 长沙理工大学 | Active nonlinear broadband vibration absorber and regulating and controlling method thereof |
| CN114465443B (en) * | 2022-02-16 | 2023-12-22 | 东北大学 | Permanent magnet nonlinear energy trap for suppressing torsional vibration based on magnetic repulsion principle |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| US4002043A (en) * | 1973-07-10 | 1977-01-11 | Toyota Jidosha Kogyo Kabushiki Kaisha | Apparatus for absorbing torque fluctuations produced by an internal combustion engine |
| US8013481B2 (en) * | 2009-03-27 | 2011-09-06 | General Electric Company | Detuner for tuning torsional mode of a rotating body |
| DE102010054303A1 (en) * | 2009-12-17 | 2011-06-22 | Schaeffler Technologies GmbH & Co. KG, 91074 | Two-mass flywheel for use in drive train of motor vehicle, has lever element tangentially rolled on inner circumference of flywheel mass by roller and pivotably mounted at flywheel mass, where lever element is designed with two-arms |
| CN103267085B (en) * | 2013-05-07 | 2015-12-23 | 北京化工大学 | Hydraulic multifrequency dynamic vibration absorber for rotary mechanical rotor |
| CN103511554B (en) * | 2013-10-17 | 2015-10-14 | 北京化工大学 | A kind of rotary machine rotor variable mass frequency modulation dynamic vibration absorber |
| CN103742591B (en) * | 2013-12-25 | 2016-01-13 | 北京化工大学 | Rotary machine rotor self adaption continuous shifting frequency tuned mass damper |
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