CN111719726A - Nonlinear energy trap device with multiple stable states - Google Patents
Nonlinear energy trap device with multiple stable states Download PDFInfo
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- CN111719726A CN111719726A CN202010429287.5A CN202010429287A CN111719726A CN 111719726 A CN111719726 A CN 111719726A CN 202010429287 A CN202010429287 A CN 202010429287A CN 111719726 A CN111719726 A CN 111719726A
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- 238000005265 energy consumption Methods 0.000 claims abstract description 12
- 230000000694 effects Effects 0.000 claims abstract description 4
- 238000007906 compression Methods 0.000 claims description 33
- 230000006835 compression Effects 0.000 claims description 29
- 238000013016 damping Methods 0.000 claims description 15
- 230000008859 change Effects 0.000 claims description 5
- 239000012530 fluid Substances 0.000 claims description 3
- 238000005096 rolling process Methods 0.000 claims description 3
- 238000010521 absorption reaction Methods 0.000 abstract description 17
- 239000000758 substrate Substances 0.000 abstract description 5
- 230000009467 reduction Effects 0.000 description 11
- 238000010586 diagram Methods 0.000 description 4
- 230000021715 photosynthesis, light harvesting Effects 0.000 description 3
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 2
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- 230000006978 adaptation Effects 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 229910052742 iron Inorganic materials 0.000 description 1
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/62—Insulation or other protection; Elements or use of specified material therefor
- E04B1/92—Protection against other undesired influences or dangers
- E04B1/98—Protection against other undesired influences or dangers against vibrations or shocks; against mechanical destruction, e.g. by air-raids
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04H—BUILDINGS OR LIKE STRUCTURES FOR PARTICULAR PURPOSES; SWIMMING OR SPLASH BATHS OR POOLS; MASTS; FENCING; TENTS OR CANOPIES, IN GENERAL
- E04H9/00—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate
- E04H9/02—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate withstanding earthquake or sinking of ground
Abstract
The invention relates to a multistable nonlinear energy trap device, which comprises a substrate bearing plate (1), a linear guide rail (2), a vibrator supporting plate (5) and a linear bearing (3), wherein the substrate bearing plate is connected with an external main structure, and a vibrator (11) is connected with the vibrator supporting plate (5) by using a bolt; a pair of long springs k with long guide tubes (7) are stretched and pressed in original length1(6) A pair of short guide tubes (9) original long-drawn short-pressed springs k2(8) The vibrator is symmetrically arranged on two sides of the vibrator (11) in the direction vertical to the linear guide rail (2); the lengths of the two pairs of springs at the balance positions are different, and the included angles between the two pairs of springs and the vibrators are also different; meanwhile, two ends of the magnetorheological damper (4) are respectively connected with the vibrator (11) and the baffle (12) by pin shafts (10). Compared with the existing nonlinear energy trap vibration damper, the structure has the advantages of wider vibration absorption frequency, better robustness, better energy consumption effect and the like.
Description
Technical Field
The invention relates to a vibration damping and energy dissipation device, in particular to a nonlinear energy trap device with multiple steady-state transitions.
Background
The nonlinear energy trap device is used as a device for absorbing vibration and dissipating energy in aviation due to its target energy transfer characteristic, and has been gradually tried to be applied in the civil engineering field due to its advantages of wide vibration-absorbing frequency band, high vibration-absorbing energy-dissipating efficiency, small mass, and the like. The device which is widely applied to the high-rise structure earthquake resistance is mainly a mass modulation damper (TMD), when the natural vibration frequency of the damper is adjusted to be close to the natural vibration frequency of a main structure, the tuned motion in the direction opposite to the main structure can be realized to a certain extent, so that the amplitude of the main structure is reduced, and the energy in the TMD is consumed through the damper device which is additionally arranged on the damper device, so that the vibration reduction of the structure is realized. However, the device can only generate a good vibration damping effect for the vicinity of the vibration fundamental frequency of the main structure, and once the main structure is impacted greatly or the main structure is in service for a long time, the change of the fundamental frequency is inhibited or the TMD is damaged due to the change of the rigidity of the main structure, so that the vibration frequency of the main structure is different from the fundamental frequency of the TMD, the TMD cannot play a vibration damping role for the main structure. The existing nonlinear energy trap devices comprise cubic stiffness NES, negative stiffness NES, orbit type NES with additional unilateral impact vibration, spring pendulum NES and the like, and have high robustness, wide vibration absorption frequency band and capability of absorbing and consuming energy in a structure.
The main structure of a conventional nonlinear energy trap device (NES) is composed of a spring, a vibrator, and a damper. The damping adjustable magneto-rheological damper is required to be introduced into the damper, and the system has better target energy transmission and energy consumption efficiency by adjusting the damping. And simultaneously, two pairs of springs are introduced into the NES device, so that a wider vibration absorption frequency band, better robustness and stronger nonlinear restoring force are provided.
The invention is a structure vibration absorption and vibration reduction energy consumption device with the most prospect, and has wide application prospect in the aspect of vibration reduction in the field of civil engineering.
Disclosure of Invention
The technical problem is as follows: it is an object of the present invention to provide a nonlinear energy trap device with multiple stable states. Two pairs of tension and compression springs with different rigidity and original length are introduced into the nonlinear energy trap device, so that the nonlinear energy trap device has stronger linear rigidity and cubic rigidity, the vibration absorption frequency band of the nonlinear energy trap device is increased, and stronger restoring force is provided. Meanwhile, the magneto-rheological damper is introduced into the nonlinear energy trap device, and the damping size of the magneto-rheological damper can be adjusted according to the characteristics of the main structure, so that the nonlinear damper device has better vibration reduction and energy consumption characteristics. The nonlinear energy trap device can be used as semi-active control to be applied to vibration absorption and vibration reduction in the field of civil engineering.
The technical scheme is as follows: the invention relates to a multistable nonlinear energy trap device, which comprises a substrate bearing plate connected with an external main structure, two parallel linear guide rails arranged on the substrate bearing plate, linear bearings with vibrator supporting plates arranged on the linear guide rails, and a vibrator connected with the vibrator supporting plates by bolts; and a pair of long springs k with long guide tubes are stretched and pressed1A pair of short guide tubes original length drawing and pressing spring k2The two vibrators are symmetrically arranged on the two sides of the vibrator in the direction perpendicular to the linear guide rail; original length tension and compression long spring k1Original length tension and compression short spring k2One end of the spring is respectively connected with the vibrators by pin shafts, the other end of the spring is respectively connected with the baffle, and the lengths of the two pairs of springs at the balance positions are different from the included angle between the vibrators; meanwhile, two ends of the magnetorheological damper are respectively connected with the vibrator and the baffle by pin shafts.
The motion directions around the vibrator are respectively provided with a baffle plate, so that the vibrator is prevented from being separated from the linear guide rail due to failure of the magneto-rheological damper or overlarge stroke of the vibrator.
The mass ratio of the vibrator to the external main structure is adjusted according to the rigidity characteristic of the main structure, so that the nonlinear multistable energy trap device has the optimal robust performance suitable for the main structure.
The magneto-rheological damper changes the characteristics of magneto-rheological fluid in the magneto-rheological damper by electrifying according to the characteristics of an external main structure so as to change the damping size of the magneto-rheological damper, so that the nonlinear multistable energy trap device has the optimal vibration absorption and energy consumption effects.
The friction between the linear bearing and the linear guide rail is rolling friction.
The friction damping between the pin shaft and the lug plate can be ignored.
Has the advantages that: compared with the existing vibration damping and energy dissipation device, the vibration damping and energy dissipation device has the following advantages:
1) by mounting the nonlinear energy trap device on the main structure, the device can absorb the vibration response energy of the main structure by utilizing the characteristic that the strong nonlinear nature of the nonlinear energy trap device can generate internal resonance with the main structure.
2) The mass of the vibrator in the nonlinear energy trap device only accounts for 5% -10% of the mass of the main structure, and is even smaller, so that the influence on the whole bearing capacity of the structure is small.
3) The nonlinear energy trap device can adjust the mass of the vibrator, the rigidity of the tension and compression spring and the damping characteristic of the magnetorheological damper according to the characteristic of the main structure, so that the device can have a vibration absorption band within the natural vibration frequency of the main structure and more excellent robust performance.
4) The number of the tension and compression springs is increased in the nonlinear energy trap device, the included angle between the springs and the vibrators is changed to change the nonlinear characteristic of the springs, the vibration absorption frequency band of the nonlinear energy trap device is widened, and the nonlinear restoring force is increased at the same time.
Description of the drawings:
FIG. 1 is a schematic diagram of a non-linear energy trap device (α) according to the present invention1≠β1＜180°)；
FIG. 2 is a schematic diagram of a non-linear energy trap device (α) according to the present invention2＝180°，β2＜180°)；
FIG. 3 is a schematic diagram of a non-linear energy trap device (α) according to the present invention3＞180°，β3＜180°)；
FIG. 4 is a schematic diagram of a non-linear energy trap device (α) according to the present invention4＜180°，β4＞180°)；
FIG. 5 shows an original long tension-compression long spring k with a large guide cylinder according to the present invention1A schematic view of the apparatus;
FIG. 6 shows the original long tension-compression short spring k with small guide cylinder of the present invention2A schematic view of the apparatus;
FIG. 7 is a view of the retainer with the pin of the present invention;
FIG. 8 is a schematic view of a linear guide rail linear bearing with a vibrator support plate according to the present invention;
FIG. 9 is a schematic view of a magnetorheological damper in accordance with the present invention.
The figure shows that: base bearing plate 1, linear guide rail 2, linear bearing 3, magnetorheological damper 4, vibrator supporting plate 5 and original long tension and compression long spring k16. Long guide tube 7, original long tension-compression short spring k28. A short guide tube 9, a pin shaft 10, a vibrator 11 and a baffle 12; an outer guide tube 501, an inner guide tube 502 and an original long tension and compression spring 503; a pin shaft 701, an L-shaped plate 702, a supporting plate 703 and a fixing plate 704; a linear guide 801, a linear bearing 802, and a vibrator support plate 803; wire 901, piston rod 902, cylinder 903.
Detailed Description
The invention relates to a multistable nonlinear energy trap device which is characterized by comprising a base bearing plate connected with a main structure, wherein a linear bearing and a linear guide rail are used as running rails of a vibrator, two parallel linear rails are arranged on the base bearing plate, a vibrator supporting plate with the vibrator is arranged on the linear bearing, and the linear bearing is connected with the linear guide rail to form a motion system of the vibrator; simultaneously, two pairs of tension and compression springs with guide tubes and at initial lengths are symmetrically arranged on two sides of the vibrator in the direction vertical to the linear guide rail, one end of each tension and compression spring is connected with the vibrator, the other end of each tension and compression spring is connected with the baffle, and the two pairs of springs are different in length (L)1≠L2) The included angle between the magneto-rheological damper and the vibrator is different (α is not equal to β), and meanwhile, the magneto-rheological damper is connected with the vibrator and the baffle by a pin shaft in the direction parallel to the linear guide rail.
The tension and compression spring with the guide pipe is characterized in that the guide pipe is divided into an outer pipe and an inner pipe, the inner diameter of the outer pipe is larger than that of the inner pipe, the two pipes are the same in length and shorter than the distance between the two baffles, and the tension and compression spring is used for preventing the spring from being bent in the tension and compression process to influence the rigidity of the spring.
The tension and compression spring at the original length can select a proper original length, proper rigidity and a proper included angle between the tension and compression spring and the vibrator according to the characteristics of the main structure, so that the vibration absorption frequency band of the nonlinear energy trap device comprises the frequency range of the vibration of the main structure, and the nonlinear energy trap device has the best vibration absorption, vibration reduction and energy consumption performances.
The vibrator with changeable mass is formed by connecting a plurality of iron sheets with different masses by bolts and nuts, and the mass ratio of the vibrator to the main structure can be adjusted according to the characteristics of the main structure, so that the nonlinear energy trap device has the best vibration absorption, vibration reduction and energy consumption performances.
The magneto-rheological damper adjusts the characteristics of magneto-rheological fluid according to the characteristics of the main structure, so that the damping value of the magneto-rheological damper can meet the requirements of the nonlinear energy trap device on optimal vibration absorption, vibration reduction and energy consumption performances.
The rolling friction damping between the linear bearing for supporting the vibrator supporting plate and the linear guide rail is negligible.
The sliding friction between the pins is negligible.
The two pairs of tension and compression springs which are arranged symmetrically on two sides of the vibrator and are parallel to the linear guide rail and are in the original length are different in included angle, length, outer diameter and rigidity with the vibrator, and the device can form a plurality of steady state transition points in the moving process to form a nonlinear energy trap device with a wider vibration absorption frequency band.
The forming method of the present invention is further described by way of example with reference to the accompanying drawings:
example 1: as shown in fig. 1, 5, 6, 7, 8 and 9, the present embodiment is a multistable nonlinear energy trap device, a pair of parallel linear guide rail devices are arranged in the middle of a substrate bearing plate, and each linear guide rail device is provided with a linear guide railA linear bearing is installed, and meanwhile, a supporting plate loaded with a vibrator is connected with the linear bearing through a bolt, so that a vibrator sliding rail system with negligible friction is formed. Two pairs of tension and compression spring devices with guide tubes (inner diameter d of two pairs of tension and compression springs) as shown in fig. 5 and 61≠d2Initial original length L11≠L12And a stiffness k11≠k12All different) are symmetrically arranged at two sides of the vibrator perpendicular to the direction of the linear guide rail, one side of the vibrator is connected with the vibrator, the other side of the vibrator is connected with the baffle plate shown in figure 7 (the tension and compression springs are both in the original length state), and the included angle α formed by the two pairs of springs and the vibrator1And β1Are all less than 180 DEG and α1≠β1. The magnetorheological damper as shown in figure 9 is arranged in the direction parallel to the linear guide rail, one side of the magnetorheological damper is connected with the vibrator, the other side of the magnetorheological damper is connected with the fixed baffle, the baffle is arranged on the other side of the vibrator in the direction parallel to the linear rail to prevent the vibrator from sliding too much beyond the slide rail, and finally, the nonlinear energy trap device with multiple stable states is formed and is connected with the main structure and used for vibration absorption, vibration reduction and energy consumption of the main structure.
Example 2: as shown in fig. 2, 5, 6, 7, 8, and 9, in this embodiment, a multistable nonlinear energy trap device is provided, in which a pair of parallel linear guide rail devices is installed in the middle of a base bearing plate, and a linear bearing is installed on each linear guide rail, and a support plate carrying a vibrator is connected with the linear bearing by a bolt, so as to form a vibrator rail system with negligible friction. Two pairs of tension and compression spring devices with guide tubes (inner diameter d of two pairs of tension and compression springs) as shown in fig. 5 and 61≠d2Initial original length L21≠L22And a stiffness k21≠k22All different) are symmetrically arranged at two sides of the vibrator perpendicular to the direction of the linear guide rail, one side of the vibrator is connected with the vibrator, the other side of the vibrator is connected with the baffle plate shown in figure 7 (the tension and compression springs are both in the original length state), and the included angle α formed by the two pairs of springs and the vibrator2＝180°，β2< 180 deg. A magnetorheological damper as shown in fig. 9 is arranged in the direction parallel to the linear guide rail, and one side of the magnetorheological damper is connected with the vibratorAnd the other side of the vibrator is connected with a fixed baffle, and the other side of the vibrator parallel to the direction of the linear track is provided with a baffle to prevent the vibrator from sliding too much beyond a slide rail, so that a multistable nonlinear energy trap device is finally formed, and the nonlinear energy trap device is connected with a main structure and is used for absorbing vibration, reducing vibration and dissipating energy of the main structure.
Example 3: as shown in fig. 3, 5, 6, 7, 8, and 9, in this embodiment, a multistable nonlinear energy trap device is provided, in which a pair of parallel linear guide rail devices is installed in the middle of a base bearing plate, and a linear bearing is installed on each linear guide rail, and a support plate carrying a vibrator is connected with the linear bearing by a bolt, so as to form a vibrator rail system with negligible friction. Two pairs of tension and compression spring devices with guide tubes (inner diameter d of two pairs of tension and compression springs) as shown in fig. 5 and 61≠d2Initial original length L31≠L32And a stiffness k31≠k32All different) are symmetrically arranged at two sides of the vibrator perpendicular to the direction of the linear guide rail, one side of the vibrator is connected with the vibrator, the other side of the vibrator is connected with the baffle plate shown in figure 7 (the tension and compression springs are both in the original length state), and the included angle α formed by the two pairs of springs and the vibrator3＞180°,β3< 180 deg. The magnetorheological damper as shown in figure 9 is arranged in the direction parallel to the linear guide rail, one side of the magnetorheological damper is connected with the vibrator, the other side of the magnetorheological damper is connected with the fixed baffle, the baffle is arranged on the other side of the vibrator in the direction parallel to the linear rail to prevent the vibrator from sliding too much beyond the slide rail, and finally, the nonlinear energy trap device with multiple stable states is formed and is connected with the main structure and used for vibration absorption, vibration reduction and energy consumption of the main structure.
Example 4: as shown in fig. 4, 5, 6, 7, 8, and 9, in this embodiment, a multistable nonlinear energy trap device is provided, in which a pair of parallel linear guide rail devices is installed in the middle of a base bearing plate, and a linear bearing is installed on each linear guide rail, and a support plate carrying a vibrator is connected with the linear bearing by a bolt, so as to form a vibrator rail system with negligible friction. Two pairs of tension and compression spring devices with guide tubes (two pairs of tension and compression) shown in figures 5 and 6Inner diameter d of spring1≠d2Initial original length L41≠L42And a stiffness k41≠k42All different) are symmetrically arranged at two sides of the vibrator perpendicular to the direction of the linear guide rail, one side of the vibrator is connected with the vibrator, the other side of the vibrator is connected with the baffle plate shown in figure 7 (the tension and compression springs are both in the original length state), and the included angle α formed by the two pairs of springs and the vibrator4＜180°，β4Is greater than 180 degrees. The magnetorheological damper as shown in figure 9 is arranged in the direction parallel to the linear guide rail, one side of the magnetorheological damper is connected with the vibrator, the other side of the magnetorheological damper is connected with the fixed baffle, the baffle is arranged on the other side of the vibrator in the direction parallel to the linear rail to prevent the vibrator from sliding too much beyond the slide rail, and finally, the nonlinear energy trap device with multiple stable states is formed and is connected with the main structure and used for vibration absorption, vibration reduction and energy consumption of the main structure.
The above description is only a preferred embodiment of the present invention, and it should be noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention and these are intended to be within the scope of the invention.
Claims (6)
1. A nonlinear energy trap device with multiple stable states is characterized by comprising a base bearing plate (1) connected with an external main structure, two parallel linear guide rails (2) arranged on the base bearing plate (1), linear bearings (3) with vibrator supporting plates (5) arranged on the linear guide rails (2), and a vibrator (11) connected with the vibrator supporting plates (5) by bolts; and a pair of long springs k with long guide tubes (7) are stretched and pressed at the original length1(6) A pair of short guide tubes (9) original long-drawn short-pressed springs k2(8) The vibrator is symmetrically arranged on two sides of the vibrator (11) in the direction vertical to the linear guide rail (2); original length tension and compression long spring k1(6) Original length tension and compression short spring k2(8) One end of the spring is respectively connected with the vibrator (11) by a pin shaft (10), the other end of the spring is respectively connected with the baffle (12), and the lengths of the two pairs of springs at the balance positions are different from the included angle between the vibrators; meanwhile, pins are adopted at two ends of the magnetorheological damper (4)The shaft (10) is connected with the vibrator (11) and the baffle (12) respectively.
2. The nonlinear energy trap device with multiple stable states as claimed in claim 1, wherein the vibrators (11) are prevented from being separated from the linear guide rail (2) due to failure of the magnetorheological damper (4) or over-stroke of the vibrators (11) because baffles (12) are respectively arranged in the motion directions around the vibrators (11).
3. The nonlinear energy trap device with multistability according to claim 1 or 2, characterized in that the mass of the vibrator (11) adjusts the mass ratio of the vibrator (11) to the external main structure according to the rigidity characteristic of the main structure, so that the nonlinear multistable energy trap device has the best robust performance adapted to the main structure.
4. The nonlinear energy trapping device with multistability according to claim 1, characterized in that the magneto-rheological damper (4) changes the characteristics of magneto-rheological fluid in the magneto-rheological damper (4) by electrifying according to the characteristics of an external main structure so as to change the damping magnitude of the magneto-rheological damper (4) to enable the nonlinear multistable energy trapping device to have the optimal energy consumption effect of absorbing vibration.
5. The nonlinear energy trap device with multistability according to claim 1, characterized in that the friction between the linear bearing (3) and the linear guide rail (2) is rolling friction.
6. The nonlinear energy trap apparatus in claim 1, wherein the frictional damping between the pin (10) and the ear plate is negligible.
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| CN202010429287.5A CN111719726A (en) | 2020-05-20 | 2020-05-20 | Nonlinear energy trap device with multiple stable states |
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112796432A (en) * | 2021-01-26 | 2021-05-14 | 广州大学 | Internal collision vibration type multi-mass damper |
| CN113280074A (en) * | 2021-05-10 | 2021-08-20 | 东南大学 | Multi-stable magnetic coupling nonlinear energy trap device and multi-stable magnetic coupling method |
| CN113982344A (en) * | 2021-10-11 | 2022-01-28 | 东南大学 | Two-dimensional magnetic force type nonlinear energy trap device and vibration absorption and energy consumption method |
| CN114086806A (en) * | 2021-10-11 | 2022-02-25 | 东南大学 | Two-dimensional eccentric rotation nonlinear energy trap device and vibration absorption and energy consumption method |
| CN114251410A (en) * | 2021-11-18 | 2022-03-29 | 上海航天控制技术研究所 | Semi-active vibration reduction platform structure of inertia actuating mechanism based on magneto-rheological damper |
| CN114294362A (en) * | 2021-12-29 | 2022-04-08 | 同济大学 | Inertial capacity type double-potential well vibration reduction device |
| CN115110656A (en) * | 2022-07-26 | 2022-09-27 | 同济大学 | High-order energy consumption enhanced nonlinear energy trap |
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| CN205134603U (en) * | 2015-11-12 | 2016-04-06 | 同济大学 | Two degree of freedom bump levellers based on nonlinearity energy trap |
| CN111021571A (en) * | 2019-12-26 | 2020-04-17 | 山东大学 | Semi-active positive and negative stiffness parallel self-coordination vibration damper |
| CN212295145U (en) * | 2020-05-20 | 2021-01-05 | 东南大学 | Nonlinear energy trap device with multiple stable states |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN112796432A (en) * | 2021-01-26 | 2021-05-14 | 广州大学 | Internal collision vibration type multi-mass damper |
| CN113280074A (en) * | 2021-05-10 | 2021-08-20 | 东南大学 | Multi-stable magnetic coupling nonlinear energy trap device and multi-stable magnetic coupling method |
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| CN113982344A (en) * | 2021-10-11 | 2022-01-28 | 东南大学 | Two-dimensional magnetic force type nonlinear energy trap device and vibration absorption and energy consumption method |
| CN114086806A (en) * | 2021-10-11 | 2022-02-25 | 东南大学 | Two-dimensional eccentric rotation nonlinear energy trap device and vibration absorption and energy consumption method |
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| CN114251410A (en) * | 2021-11-18 | 2022-03-29 | 上海航天控制技术研究所 | Semi-active vibration reduction platform structure of inertia actuating mechanism based on magneto-rheological damper |
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| CN114294362A (en) * | 2021-12-29 | 2022-04-08 | 同济大学 | Inertial capacity type double-potential well vibration reduction device |
| CN115110656A (en) * | 2022-07-26 | 2022-09-27 | 同济大学 | High-order energy consumption enhanced nonlinear energy trap |
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