CN109056429A - Half active damping method and apparatus of floating plate track fundamental frequency - Google Patents

Half active damping method and apparatus of floating plate track fundamental frequency Download PDF

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Publication number
CN109056429A
CN109056429A CN201811039791.3A CN201811039791A CN109056429A CN 109056429 A CN109056429 A CN 109056429A CN 201811039791 A CN201811039791 A CN 201811039791A CN 109056429 A CN109056429 A CN 109056429A
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China
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floating plate
vibration
track
damping
damper
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CN109056429B (en
Inventor
韦凯
王平
赵泽明
许高峰
王绍华
牛澎波
欧灵畅
杨敏婕
肖杰灵
陈嵘
徐井芒
何庆
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Southwest Jiaotong University
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Southwest Jiaotong University
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    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01BPERMANENT WAY; PERMANENT-WAY TOOLS; MACHINES FOR MAKING RAILWAYS OF ALL KINDS
    • E01B19/00Protection of permanent way against development of dust or against the effect of wind, sun, frost, or corrosion; Means to reduce development of noise
    • E01B19/003Means for reducing the development or propagation of noise

Abstract

The present invention provides a kind of half active damping method and apparatus of floating plate track fundamental frequency, are related to field of track traffic.The half active damping method and apparatus of floating plate track fundamental frequency, by analyzing floating plate track vibration parameters, wherein, the floating plate track vibration parameters include at least the vibration vertical deviation and speed, j-th of vibration isolator fulcrum power, j-th of magnetorheological damping power of floating plate;Then j-th of magnetorheological damping power is selected, so that j-th of magnetorheological damping power after selected meetsSo that floating plate in the case where natural frequency vibration, reduces vibration vertical deviation, speed and the vibration isolator fulcrum power virtual value of floating plate, to guarantee the effectiveness in vibration suppression of the high frequency of better quality under the Vibration Condition for reducing fundamental frequency.

Description

Half active damping method and apparatus of floating plate track fundamental frequency
Technical field
The present invention relates to field of track traffic, in particular to a kind of half active damping method of floating plate track fundamental frequency With device.
Background technique
In recent years, urban rail transit in China is grown rapidly, and the ambient vibration problem that metro operation generates also is on the rise. Currently, mainly including Damping fastening, vibration damping sleeper and vibration-damping ballast for vibration reducing measure used by track structure.Wherein, Steel spring floating slab track is the best track structure of current effectiveness in vibration suppression.However, the damping fluid damping ratio as built in steel spring It is smaller, cause floating plate to vibrate the apparent amplification phenomenon of generation near fundamental frequency 10Hz, meanwhile, the maximum frequency of harm to the human body The effectiveness in vibration suppression of (4~10Hz) also complies with one's wishes not to the utmost within the scope of rate.The dominant frequency of floating plate track vibration is located at floating plate fundamental frequency, if Although the vibration of fundamental frequency can be reduced by increasing the damping ratio of vibrating isolation system simply, the effectiveness in vibration suppression of high frequency also will be because This is affected, therefore how when guaranteeing the effectiveness in vibration suppression of high frequency of better quality, reduces the vibration of fundamental frequency, be current Problem to be solved.
Summary of the invention
In view of this, the embodiment of the present invention be designed to provide a kind of half active damping method of floating plate track fundamental frequency with Device, to improve above-mentioned problem.
In a first aspect, being applied to magnetic the embodiment of the invention provides a kind of half active damping method of floating plate track fundamental frequency Rheology damping isolation floating plate track, the magnetorheological damping vibration isolation floating plate track includes floating plate, under the floating plate Side is provided with magnetorheological damping element, and the half active damping method of floating plate track fundamental frequency includes:
Receive track plates elasticity modulus, the second polar moment of area, track plates mass parameter, rail plate long that intelligent terminal is sent Degree, i-th of rail fastening rigidity, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, every piece of floating plate Vibration isolator quantity, the rigidity of j-th vibration isolator spring, the viscous damping coefficient of j-th vibration isolator spring, MR damper Stiffness coefficient, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to the starting force of external force;
It is buckled according to track plates elasticity modulus, second polar moment of area, track plates mass parameter, track plates length, i-th of rail Part rigidity, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, vibration isolator quantity, the jth of every piece of floating plate The rigidity of a vibration isolator spring, the viscous damping coefficient of j-th vibration isolator spring, MR damper stiffness coefficient, magnetic current The viscous damping coefficient of variable damping device, controllable Coulomb damping power, track are not applied to the starting force and presetting rail of external force The free beam vertical vibration equation analysis of guidance tape goes out floating plate track vibration parameters, wherein the floating plate track vibration parameters Vibration vertical deviation and speed, j-th of vibration isolator fulcrum power, j-th of magnetorheological damping power including at least floating plate;
J-th of magnetorheological damping power is selected, so that j-th of magnetorheological damping power after selected meets
Second aspect, the embodiment of the invention also provides a kind of half active dampers of floating plate track fundamental frequency, are applied to Magnetorheological damping vibration isolation floating plate track, the magnetorheological damping vibration isolation floating plate track includes floating plate, the floating plate Lower section is provided with magnetorheological damping element, and half active damper of floating plate track fundamental frequency includes:
Information receiving unit, for receiving track plates elasticity modulus, the second polar moment of area, track plates of intelligent terminal transmission Mass parameter, track plates length, i-th of rail fastening rigidity, i-th of viscous damping coefficient, every piece of floating plate rail fastening Quantity, the vibration isolator quantity of every piece of floating plate, the rigidity of jth vibration isolator spring, the viscous damping of j-th vibration isolator spring Coefficient, the stiffness coefficient of MR damper, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not It is applied the starting force of external force;
Vibration parameters analytical unit, for according to track plates elasticity modulus, second polar moment of area, track plates mass parameter, Track plates length, i-th of rail fastening rigidity, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, every piece The vibration isolator quantity of floating plate, the rigidity of j-th vibration isolator spring, j-th vibration isolator spring viscous damping coefficient, magnetorheological The stiffness coefficient of damper, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to external force The free beam vertical vibration equation analysis of starting force and presetting track plates goes out floating plate track vibration parameters, wherein institute State vibration vertical deviation and speed, j-th vibration isolator fulcrum power, jth that floating plate track vibration parameters include at least floating plate A magnetorheological damping power;
Parameter selectes unit, for selecting to j-th of magnetorheological damping power, so that j-th after selected is magnetorheological Damping force meets
Compared with prior art, half active damping method and apparatus of floating plate track fundamental frequency provided by the invention, by dividing Floating plate track vibration parameters are precipitated, wherein the floating plate track vibration parameters include at least the vertical position of vibration of floating plate It moves and speed, j-th of vibration isolator fulcrum power, j-th of magnetorheological damping power;Then j-th of magnetorheological damping power is selected, So that j-th of magnetorheological damping power after selected meetsSo that floating plate is intrinsic In the case that frequency is vibrated, vibration vertical deviation, speed and the vibration isolator fulcrum power virtual value of floating plate are reduced, thus Under the Vibration Condition for reducing fundamental frequency, guarantee the effectiveness in vibration suppression of the high frequency of better quality.
To enable the above objects, features and advantages of the present invention to be clearer and more comprehensible, preferred embodiment is cited below particularly, and cooperate Appended attached drawing, is described in detail below.
Detailed description of the invention
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is A part of the embodiment of the present invention, instead of all the embodiments.The present invention being usually described and illustrated herein in the accompanying drawings is implemented The component of example can be arranged and be designed with a variety of different configurations.Therefore, below to the reality of the invention provided in the accompanying drawings The detailed description for applying example is not intended to limit the range of claimed invention, but is merely representative of selected implementation of the invention Example.Based on the embodiments of the present invention, obtained by those of ordinary skill in the art without making creative efforts Every other embodiment, shall fall within the protection scope of the present invention.
Fig. 1 is the interaction schematic diagram of server provided in an embodiment of the present invention and intelligent terminal;
Fig. 2 is the structural block diagram of server provided in an embodiment of the present invention;
Fig. 3 is the flow chart of half active damping method of floating plate track fundamental frequency provided in an embodiment of the present invention;
Fig. 4 is the structural schematic diagram of Da Er model provided in an embodiment of the present invention;
Fig. 5 is the functional block diagram of half active damper of floating plate track fundamental frequency provided in an embodiment of the present invention.
Icon: 100- server;Half active damper of 200- floating plate track fundamental frequency;300- intelligent terminal;At 101- Manage device;102- memory;103- storage control;104- Peripheral Interface;501- information receiving unit;502- vibration parameters point Analyse unit;503- parameter selectes unit;504- searching unit;505- computing unit.
Specific embodiment
Below in conjunction with attached drawing in the embodiment of the present invention, technical solution in the embodiment of the present invention carries out clear, complete Ground description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Usually exist The component of the embodiment of the present invention described and illustrated in attached drawing can be arranged and be designed with a variety of different configurations herein.Cause This, is not intended to limit claimed invention to the detailed description of the embodiment of the present invention provided in the accompanying drawings below Range, but it is merely representative of selected embodiment of the invention.Based on the embodiment of the present invention, those skilled in the art are not doing Every other embodiment obtained under the premise of creative work out, shall fall within the protection scope of the present invention.
Half active damping method and apparatus of floating plate track fundamental frequency provided by present pre-ferred embodiments can be applied to take Business device 100, which is applied to half Active vibration-reducing system of floating plate track fundamental frequency, as shown in Figure 1, floating plate track base Frequently half Active vibration-reducing system includes server 100 and intelligent terminal 300, establishes and communicates between server 100 and intelligent terminal 300 Connection.The server 100 may be, but not limited to, network server, database server, cloud server etc..Fig. 2 Show a kind of structural block diagram that can be applied to the server in the embodiment of the present invention.Wherein, server 100 includes floating plate Half active damper 200 of track fundamental frequency, Peripheral Interface 104, memory 102, storage control 103 and processor 101.
Peripheral Interface 104, the memory 102, storage control 103 and processor 101, each element are direct between each other Or be electrically connected indirectly, to realize the transmission or interaction of data.For example, these elements can pass through one or more between each other Communication bus or signal wire, which are realized, to be electrically connected.Half active damper 200 of floating plate track fundamental frequency includes at least one Software function in the server can be stored in the memory 102 or solidified in the form of software or firmware (firmware) It can module.The processor 101 is for executing the executable module stored in memory 102, for example, the floating plate track base Frequently software function module or computer program that half active damper 200 includes.
Wherein, memory 102 may be, but not limited to, random access memory (Random Access Memory, RAM), read-only memory 102Read Only Memory, ROM), programmable read only memory (Programmable Read- Only Memory, PROM), erasable read-only memory (Erasable Programmable Read-Only Memory, EPROM), electricallyerasable ROM (EEROM) (Electric Erasable Programmable Read-Only Memory, EEPROM) etc..Wherein, memory 102 is for storing program, and the processor 101 is after receiving and executing instruction, described in execution Program, method performed by the server-side that the stream process that aforementioned any embodiment of the embodiment of the present invention discloses defines can be applied to In processor 101, or realized by processor 101.
Processor 101 may be a kind of IC chip, the processing capacity with signal.Above-mentioned processor 101 can To be general processor, including central processing unit (Central Processing Unit, abbreviation CPU), network processing unit (Network Processor, abbreviation NP) etc.;Can also be digital signal processor (DSP), specific integrated circuit (ASIC), Ready-made programmable gate array (FPGA) either other programmable logic device, discrete gate or transistor logic, discrete hard Part component.It may be implemented or execute disclosed each method, step and the logic diagram in the embodiment of the present invention.General processor It can be microprocessor or the processor 101 be also possible to any conventional processor 101 etc..
Various input/output devices are couple processor 101 and memory 102 by Peripheral Interface 104.In some realities It applies in example, Peripheral Interface 104, processor 101 and storage control 103 can be realized in one single chip.Some other In example, they can be realized by independent chip respectively.
Referring to Fig. 3, being applied to magnetic the embodiment of the invention provides a kind of half active damping method of floating plate track fundamental frequency Rheology damping isolation floating plate track, the magnetorheological damping vibration isolation floating plate track include floating plate, are set below floating plate It is equipped with magnetorheological damping element and revised Da Er model, wherein revised Da Er model, as shown in Figure 4.It can manage Xie Di,k0Stiffness coefficient, c for MR damper itself0 For the viscous damping coefficient of MR damper itself, FdFor controllable Coulomb damping power, x is the displacement of MR damper,For The speed of MR damper, f0For the starting force that floating plate is not influenced by external factor, ZcIt is stagnant for the dimensionless of coulomb friction Hui Liang.It is to be appreciated that acquiring the displacement and speed of MR damper by test of many times, k can be found out0It is magnetorheological Stiffness coefficient, the c of damper itself0For the viscous damping coefficient of MR damper itself, FdFor controllable Coulomb damping power, f0 For the starting force that floating plate is not influenced by external factor, ZcFor the dimensionless hysteresis amount of coulomb friction.The floating plate track Half active damping method of fundamental frequency includes:
Step S301: track plates elasticity modulus, the second polar moment of area, track plates quality ginseng that intelligent terminal is sent are received Number, track plates length, i-th of rail fastening rigidity, the rail fastening quantity, every of i-th of viscous damping coefficient, every piece of floating plate The vibration isolator quantity of block floating plate, the rigidity of j-th vibration isolator spring, j-th vibration isolator spring viscous damping coefficient, magnetic current The stiffness coefficient of variable damping device, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to external force Starting force.
Step S302: according to track plates elasticity modulus, second polar moment of area, track plates mass parameter, track plates length, the I rail fastening rigidity, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, every piece of floating plate vibration isolator Quantity, the rigidity of j-th vibration isolator spring, the rigidity of the viscous damping coefficient of j-th vibration isolator spring, MR damper Coefficient, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to the starting force of external force and pre- The free beam vertical vibration equation analysis of the track plates of setting goes out floating plate track vibration parameters, wherein the floating plate track Vibration parameters include at least the vibration vertical deviation and speed, j-th vibration isolator fulcrum power, j-th of magnetorheological damping of floating plate Power.
Step S302 is specifically as follows the free beam vertical vibration equation according to presetting track platesWherein, δ It is Dirac function, Es, be track plates elasticity modulus, Is is second polar moment of area;Ms is track plates mass parameter, Ls is track plates length;KpiIt is I rail fastening rigidity, CpiFor viscous damping coefficient;Zs(x, t) be floating plate vertical vibration vertical deviation,For The vertical velocity of floating plate;FrsiIt (t) is the rail reaction of supports;FssjIt (t) is j-th of vibration isolator fulcrum power;NpIt is each floating Rail fastening quantity on plate; NfFor the vibration isolator quantity under each floating plate;KsjRigidity, C for j-th of vibration isolator springsj For the viscous damping coefficient of jth vibration isolator spring;FcjIt (t) is j-th of magnetorheological damping power, whereink0Stiffness coefficient, c for MR damper itself0Certainly for MR damper The viscous damping coefficient of body, FdFor controllable Coulomb damping power, x is the displacement of MR damper,For the speed of MR damper Degree, f0For the starting force that floating plate is not influenced by external factor, ZcFor the dimensionless hysteresis amount of coulomb friction.
Step S303: selecting j-th of magnetorheological damping power, so that j-th of magnetorheological damping power after selected is full Foot
Magnetorheological damping belongs to the Coulomb friction damping of strong nonlinearity, it is necessary to calculate with the use of suitable semi- active control Method can just effectively reduce the vibration at floating plate intrinsic frequency, otherwise be easy to appear the effect run counter to desire.In the present embodiment, Using improved Bang-Bang semi-active control strategy, while increasing displacement threshold value control, can to avoid displacement structure compared with In the case where small, MR damper provides biggish damping force, and floating plate is caused to generate unfavorable vibration.According to improved Bang-Bang semi-active control strategy, when displacement structure (far from equilbrium position) identical with directional velocity and displacement is more than displacement When threshold value, magnetorheological output maximum damping force, the otherwise minimum damping force of magnetorheological application, so as to so that MR damper only Apply the power for inhibiting structural vibration, does not apply the power for aggravating structural vibration.I other words when displacement structure is identical with directional velocity When (far from equilbrium position) and displacement are more than displacement threshold value, MR damper enters working condition, otherwise MR damper It stops working, to avoid generating additional active load in the case where floating plate is displaced lesser situation, then causes negative effect.
Step S304: the smallest marginal vibration vertical deviation and the vertical position of the smallest marginal vibration of floating plate are found out Move corresponding magnetorheological damping power.
Step S305: will meetUnder conditions of floating plate the smallest pole Limit vibration vertical deviation and the corresponding magnetorheological damping power of the smallest marginal vibration vertical deviation are sent to the intelligent terminal Display.
In addition, the track vibration parameter further includes floating plate vibration acceleration, the floating plate track fundamental frequency half is actively Oscillation damping method further include: the vibration acceleration of floating plate is calculated according to vibration vertical deviation, speed and the time of floating plate;? The track vibration parameter analyzed is sent to the intelligent terminal to show while the vibration acceleration of floating plate is sent to intelligence Energy terminal is shown.
Below with reference to concrete case, to illustrate the effect of the embodiment of the present invention:
Using the subway A type vehicle of China's nominal load and common steel spring floating slab track structure as case, the present invention is real A kind of half active damping method of floating plate track fundamental frequency of example offer is applied, simulation analysis railcar-magnetorheological damping half is actively The nonlinear vibration response feature of vibration isolation steel spring floating slab track vertical coupled system, from wheel track safety and track vibration-reducing Two aspects of energy, overall merit improve what Bang-Bang semi- active control vibrated steel spring floating slab track fundamental frequency (dominant frequency) Effectiveness in vibration suppression, and determine the key parameter of MR damper semi- active control under floating plate track.In this example, use The operation condition of 80km/h speed and the 5 grades of longitudinal irregularities in the U.S. wavelength 0.1m~30m spectrum.
Obviously, in the magnetorheological damping floating plate track fundamental frequency vibration damping Numerical-Mode for improving Bang-Bang semi- active control In quasi-, three kinds of magnetorheological power output size, semi- active control necessity and displacement threshold value size situations need to be inquired into.For this purpose, setting altogether 6 calculating operating conditions are counted, as shown in table 1.Operating condition 1~3 has studied under no control strategy, MR damper difference power output Influence of the size to the safety of floating plate track wheel track and fundamental frequency effectiveness in vibration suppression;Operating condition 1,2,4 has studied in MR damper It contributes under same case, influence of the control algolithm to the safety of floating plate track wheel track and fundamental frequency effectiveness in vibration suppression;Operating condition 1,5,6 is ground Study carefully under semi-active control strategy under different threshold value facilities to the safety of floating plate track wheel track and fundamental frequency effectiveness in vibration suppression Influence.
Table 1
When magnetorheological damping power is respectively 0kN, 1kN, 2kN, MR damper is displaced most rail and floating plate Big value influence it is smaller, when MR damper power output is 1kN and 2kN, rail maximum displacement respectively reduced 0.11mm and 0.10mm, floating plate maximum displacement have respectively reduced 0.30mm and 0.34mm.When train is not arrived and is left, magnetorheological damping Device influences the vibration displacement of rail and floating plate little.Rate of wheel load reduction of the MR damper power output size to subway train Influence is smaller, is held in 0.52 or so, meets regulation of the rate of wheel load reduction less than 0.8, belong to safe range.
When magnetorheological damping power is respectively 0kN, 1kN, 2kN, floating plate reaction of supports 1/3 octave component virtual value.Different magnetic Rheological damper power output size influences the maximum value of the reaction of supports of floating plate rail structure smaller.But train do not arrive and from At the time of opening, MR damper effectively inhibits the amplitude of the reaction of supports.Magnetorheological damping contributes 1kN, 2kN compared to non-magnetic flow Variable damping power output, at floating plate fundamental frequency 10Hz (dominant frequency), the virtual value of the reaction of supports reduces 66.7%, 70.0% respectively. However in 25Hz or more, the amplitude of the reaction of supports has apparent increase.In conclusion magnetorheological damping can effectively reduce it is floating Vibration at plate track fundamental frequency, however excessive magnetorheological damping power can seriously affect High-frequency absorber effect.
When MR damper power output is 1kN, effectiveness in vibration suppression is more excellent within the scope of 1~200Hz.In order to eliminate introducing magnetic current The influence that High-frequency absorber effect reduces after variable damping controls magnetorheological damping power output using this patent algorithm, optimizes it Effectiveness in vibration suppression.When MR damper power output is 1kN, using this patent algorithm and in the case of not using this patent algorithm, magnetic Rheology damping floating plate track has little effect the displacement of rail and floating plate track using this patent algorithm, is able to satisfy DESIGN OF TRACK LAYING WITH FLOATING PLATE code requirement.Rate of wheel load reduction is had no significant effect using this patent algorithm, it is small to meet rate of wheel load reduction In 0.8 regulation, belong to safe range.
When magnetorheological damping power is 1kN, when one timing of MR damper power output size, using this patent algorithm to floating The reaction of supports maximum value of plate rail structure is set without larger impact.When not using this patent algorithm, does not arrive and leave in train Moment, MR damper will be always maintained at working condition because floating plate track generates microvibration displacement.Specially using this Sharp algorithm becomes power output compared to non-magnetic flow, and the virtual value of the reaction of supports reduces 51.6% at floating plate fundamental frequency 10Hz.To sum up institute It states, the vibration at floating plate track fundamental frequency 10Hz (dominant frequency), while effectively solution not only can be effectively reduced using semi- active control After floating plate track of having determined introducing magnetorheological damping vibration isolator the problem of High-frequency absorber decreased effectiveness.
MR damper power output is 1kN, and can effectively reduce the reaction of supports in floating plate fundamental frequency using this patent algorithm Vibration at 10Hz (dominant frequency), while effectively floating plate itself is maintained in the good effectiveness in vibration suppression of high frequency.It is magnetorheological to prevent Damper floating plate microvibration be displaced under the influence of, persistently keep working condition, be respectively set different threshold values analysis its Effectiveness in vibration suppression.In the case of different displacement threshold values, rail and floating plate vertical vibration displacement maximum value are basically unchanged.However, threshold value The excessive rail that will lead to is arranged not arrive and departure time generation chattering in train.Different displacement threshold values to rate of wheel load reduction without It significantly affects, meets regulation of the rate of wheel load reduction less than 0.8, belong to safe range.Therefore, in order to effectively control floating plate and steel Rail vertical vibration, displacement threshold value setting should not be too large.
In the case of displacement threshold value is respectively 0mm, 0.5mm, 1mm, different displacement threshold values are anti-to the branch of floating plate rail structure The maximum value of power can be effectively controlled by setting threshold value and not arrive and departure time floating plate support reaction in train without larger impact Chattering.However, the excessive MR damper of displacement threshold value will reduce the inhibitory effect of reaction of supports amplitude.Position is set The good effectiveness in vibration suppression of floating plate track high frequency can be kept by moving threshold value, can equally reduce the vibration at floating plate track fundamental frequency 10Hz It is dynamic.In the case of displacement threshold value is respectively 0mm, 0.5mm, 1mm, MR damper can reduce frequency range in 2.5Hz or more Floating plate Vertical Acceleration vibration level, and the smaller vibration acceleration of the vertical vibration level of the smaller floating plate of displacement threshold value.To sum up Described: displacement threshold value is too small, and floating plate track High-frequency absorber effect will reduce;Displacement threshold value is excessive, can not effectively inhibit to arrange Vehicle does not arrive the chattering with departure time floating plate support reaction.Therefore displacement should be reasonably selected according to different railroad embankment situations Threshold value.
Referring to Fig. 5, being applied to the embodiment of the invention also provides a kind of half active damper of floating plate track fundamental frequency Magnetorheological damping vibration isolation floating plate track.It should be noted that floating plate track fundamental frequency provided by the present embodiment partly actively subtracts The technical effect of vibrating device 200, basic principle and generation is identical with above-described embodiment, to briefly describe, the present embodiment part Place is not referred to, can refer to corresponding contents in the above embodiments.The magnetorheological damping vibration isolation floating plate track includes floating Plate is provided with magnetorheological damping element below the floating plate, and half active damper of floating plate track fundamental frequency includes Information receiving unit 501, vibration parameters analytical unit 502, parameter select unit 503, searching unit 504, computing unit 505 with And information transmitting unit 506.
Information receiving unit 501 is used to receive the track plates elasticity modulus of intelligent terminal transmission, second polar moment of area, track Plate mass parameter, track plates length, i-th of rail fastening rigidity, i-th of viscous damping coefficient, every piece of floating plate rail buckle The viscous resistance of number of packages amount, the vibration isolator quantity of every piece of floating plate, the rigidity of j-th vibration isolator spring, j-th vibration isolator spring Buddhist nun's coefficient, the stiffness coefficient of MR damper, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track It is not applied to the starting force of external force.
Vibration parameters analytical unit 502 is used for according to track plates elasticity modulus, second polar moment of area, track plates quality ginseng Number, track plates length, i-th of rail fastening rigidity, the rail fastening quantity, every of i-th of viscous damping coefficient, every piece of floating plate The vibration isolator quantity of block floating plate, the rigidity of j-th vibration isolator spring, j-th vibration isolator spring viscous damping coefficient, magnetic current The stiffness coefficient of variable damping device, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to external force Starting force and the free beam vertical vibration equation analysis of presetting track plates go out floating plate track vibration parameters, wherein The floating plate track vibration parameters include at least vibration vertical deviation and speed, j-th of vibration isolator fulcrum power, the of floating plate J magnetorheological damping power.
The vibration parameters analytical unit 502 is specifically used for
Free beam vertical vibration equation according to presetting track platesWherein,Es, it is Track plates elasticity modulus, Is are second polar moment of area;Ms is track plates mass parameter, Ls is track plates length;KpiFor i-th of steel Rail fastener rigidity, CpiFor viscous damping coefficient;Zs(x, t) be floating plate vertical vibration vertical deviation,For floating plate Vertical velocity;FrsiIt (t) is the rail reaction of supports;FssjIt (t) is j-th of vibration isolator fulcrum power;NpFor on each floating plate Rail fastening quantity; NfFor the vibration isolator quantity under each floating plate;KsjRigidity, C for j-th of vibration isolator springsjFor jth The viscous damping coefficient of a vibration isolator spring;FcjIt (t) is j-th of magnetorheological damping power, whereink0Stiffness coefficient, c for MR damper itself0Certainly for MR damper The viscous damping coefficient of body, FdFor controllable Coulomb damping power, x is the displacement of MR damper,For the speed of MR damper Degree, f0For the starting force that floating plate is not influenced by external factor, ZcFor the dimensionless hysteresis amount of coulomb friction.
Parameter selectes unit 503 for selecting to j-th of magnetorheological damping power, so that j-th of magnetic current after selected Variable damping power meets
Information transmitting unit 506 will be for that will meetUnder conditions of floating plate Vibration vertical deviation and the sum of speed, j-th vibration isolator fulcrum power and j-th of magnetorheological damping power be sent to the intelligence eventually End display.
Searching unit 504 be used for find out floating plate the smallest marginal vibration vertical deviation and the smallest marginal vibration The corresponding magnetorheological damping power of vertical deviation.
The information transmitting unit 506 is specifically used for the smallest marginal vibration vertical deviation of floating plate and the smallest The corresponding magnetorheological damping power of marginal vibration vertical deviation is sent to the intelligent terminal and shows.
Computing unit 505 is used to calculate the vibration of floating plate according to vibration vertical deviation, speed and the time of floating plate Acceleration.
The information transmitting unit 506 is also used to be sent to the intelligent terminal in the track vibration parameter that will be analyzed and show Show while the vibration acceleration of floating plate is sent to intelligent terminal and shows.
In conclusion half active damping method and apparatus of floating plate track fundamental frequency provided by the invention, floating by analyzing Set plate track vibration parameter, wherein the floating plate track vibration parameters include at least the vibration vertical deviation and speed of floating plate Degree, j-th of vibration isolator fulcrum power, j-th of magnetorheological damping power;Then j-th of magnetorheological damping power is selected, so that choosing J-th of magnetorheological damping power after fixed meetsSo that floating plate is in intrinsic frequency In the case where vibration, vibration vertical deviation, speed and the vibration isolator fulcrum power virtual value of floating plate are reduced, thus reducing Under the Vibration Condition of fundamental frequency, guarantee the effectiveness in vibration suppression of the high frequency of better quality, can effectively save subway run half for a long time and actively control The energy consumption cost of system.And control strategy is simple and practical, is easy to floating plate rail structure realization.
In several embodiments provided herein, it should be understood that disclosed device and method can also pass through Other modes are realized.The apparatus embodiments described above are merely exemplary, for example, flow chart and block diagram in attached drawing Show the device of multiple embodiments according to the present invention, the architectural framework in the cards of method and computer program product, Function and operation.In this regard, each box in flowchart or block diagram can represent the one of a module, section or code Part, a part of the module, section or code, which includes that one or more is for implementing the specified logical function, to be held Row instruction.It should also be noted that function marked in the box can also be to be different from some implementations as replacement The sequence marked in attached drawing occurs.For example, two continuous boxes can actually be basically executed in parallel, they are sometimes It can execute in the opposite order, this depends on the function involved.It is also noted that every in block diagram and or flow chart The combination of box in a box and block diagram and or flow chart can use the dedicated base for executing defined function or movement It realizes, or can realize using a combination of dedicated hardware and computer instructions in the system of hardware.
In addition, each functional module in each embodiment of the present invention can integrate one independent portion of formation together Point, it is also possible to modules individualism, an independent part can also be integrated to form with two or more modules.
It, can be with if the function is realized and when sold or used as an independent product in the form of software function module It is stored in a computer readable storage medium.Based on this understanding, technical solution of the present invention is substantially in other words The part of the part that contributes to existing technology or the technical solution can be embodied in the form of software products, the meter Calculation machine software product is stored in a storage medium, including some instructions are used so that a computer equipment (can be a People's computer, server or network equipment etc.) it performs all or part of the steps of the method described in the various embodiments of the present invention. And storage medium above-mentioned includes: USB flash disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), arbitrary access The various media that can store program code such as memory (RAM, Random Access Memory), magnetic or disk.It needs It is noted that herein, relational terms such as first and second and the like are used merely to an entity or operation It is distinguished with another entity or operation, without necessarily requiring or implying between these entities or operation, there are any this Actual relationship or sequence.Moreover, the terms "include", "comprise" or its any other variant are intended to nonexcludability It include so that the process, method, article or equipment for including a series of elements not only includes those elements, but also to wrap Include other elements that are not explicitly listed, or further include for this process, method, article or equipment intrinsic want Element.In the absence of more restrictions, the element limited by sentence "including a ...", it is not excluded that including described want There is also other identical elements in the process, method, article or equipment of element.
The foregoing is only a preferred embodiment of the present invention, is not intended to restrict the invention, for the skill of this field For art personnel, the invention may be variously modified and varied.All within the spirits and principles of the present invention, made any to repair Change, equivalent replacement, improvement etc., should all be included in the protection scope of the present invention.It should also be noted that similar label and letter exist Similar terms are indicated in following attached drawing, therefore, once being defined in a certain Xiang Yi attached drawing, are then not required in subsequent attached drawing It is further defined and explained.

Claims (10)

1. a kind of half active damping method of floating plate track fundamental frequency is applied to magnetorheological damping vibration isolation floating plate track, the magnetic Rheology damping isolation floating plate track includes floating plate, which is characterized in that is provided with magnetorheological damping below the floating plate Element, the half active damping method of floating plate track fundamental frequency include:
Receive intelligent terminal send track plates elasticity modulus, second polar moment of area, track plates mass parameter, track plates length, The vibration isolation of i-th of rail fastening rigidity, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, every piece of floating plate Device quantity, the rigidity of j-th vibration isolator spring, the rigidity of the viscous damping coefficient of j-th vibration isolator spring, MR damper Coefficient, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to the starting force of external force;
It is rigid according to track plates elasticity modulus, second polar moment of area, track plates mass parameter, track plates length, i-th of rail fastening Degree, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, the vibration isolator quantity of every piece of floating plate, j-th every It shakes the rigidity of device spring, viscous damping coefficient, the stiffness coefficient of MR damper, magnetic current variable resistance of j-th vibration isolator spring The viscous damping coefficient of Buddhist nun's device, controllable Coulomb damping power, track are not applied to the starting force and presetting track plates of external force Free beam vertical vibration equation analysis go out floating plate track vibration parameters, wherein the floating plate track vibration parameters are at least Vibration vertical deviation and speed, j-th of vibration isolator fulcrum power, j-th of magnetorheological damping power including floating plate;
J-th of magnetorheological damping power is selected, so that j-th of magnetorheological damping power after selected meets
2. half active damping method of floating plate track fundamental frequency according to claim 1, which is characterized in that described according to track Plate elasticity modulus, second polar moment of area, track plates mass parameter, track plates length, i-th of rail fastening rigidity, i-th it is viscous Damped coefficient, the rail fastening quantity of every piece of floating plate, the vibration isolator quantity of every piece of floating plate, j-th vibration isolator spring it is rigid Degree, the viscous damping coefficient of j-th vibration isolator spring, MR damper stiffness coefficient, MR damper viscous resistance Buddhist nun's coefficient, controllable Coulomb damping power, track be not applied to external force starting force and presetting track plates free beam it is vertical Vibration equation analyzes the step of floating plate track vibration parameters and includes:
Free beam vertical vibration equation according to presetting track platesWherein,
Es, be track plates elasticity modulus, Is is second polar moment of area;Ms is track plates mass parameter, Ls is track plates length;KpiIt is I rail fastening rigidity, CpiFor viscous damping coefficient;Zs(x, t) be floating plate vertical vibration vertical deviation,For The vertical velocity of floating plate;FrsiIt (t) is the rail reaction of supports;FssjIt (t) is j-th of vibration isolator fulcrum power;NpIt is each floating Rail fastening quantity on plate;NfFor the vibration isolator quantity under each floating plate;KsjRigidity, C for j-th of vibration isolator springsj For the viscous damping coefficient of j-th of vibration isolator spring;FcjIt (t) is j-th of magnetorheological damping power, whereink0Stiffness coefficient, c for MR damper itself0Certainly for MR damper The viscous damping coefficient of body, FdFor controllable Coulomb damping power, x is the displacement of MR damper,For the speed of MR damper Degree, f0For the starting force that floating plate is not influenced by external factor, ZcFor the dimensionless hysteresis amount of coulomb friction.
3. half active damping method of floating plate track fundamental frequency according to claim 1, which is characterized in that the floating plate rail Half active damping method of road fundamental frequency further include:
It will meetUnder conditions of floating plate vibration vertical deviation and speed, jth The sum of a vibration isolator fulcrum power and j-th of magnetorheological damping power is sent to the intelligent terminal and shows.
4. half active damping method of floating plate track fundamental frequency according to claim 3, which is characterized in that will be analyzed described Track vibration parameter out was sent to before the step of intelligent terminal display, half active damping of floating plate track fundamental frequency Method further include:
Find out the smallest marginal vibration vertical deviation and the corresponding magnetic current of the smallest marginal vibration vertical deviation of floating plate Variable damping power;
The track vibration parameter that will be analyzed be sent to the intelligent terminal display the step of include: by the minimum of floating plate Marginal vibration vertical deviation and the corresponding magnetorheological damping power of the smallest marginal vibration vertical deviation be sent to the intelligence Terminal is shown.
5. half active damping method of floating plate track fundamental frequency according to claim 3, which is characterized in that the track vibration Parameter further includes floating plate vibration acceleration, the half active damping method of floating plate track fundamental frequency further include:
The vibration acceleration of floating plate is calculated according to vibration vertical deviation, speed and the time of floating plate;
The track vibration parameter that will be analyzed be sent to the intelligent terminal show and meanwhile by the vibration acceleration of floating plate send out It send to intelligent terminal and shows.
6. a kind of half active damper of floating plate track fundamental frequency is applied to magnetorheological damping vibration isolation floating plate track, the magnetic Rheology damping isolation floating plate track includes floating plate, which is characterized in that is provided with magnetorheological damping below the floating plate Element, half active damper of floating plate track fundamental frequency include:
Information receiving unit, for receiving track plates elasticity modulus, the second polar moment of area, track plates quality of intelligent terminal transmission Parameter, track plates length, i-th of rail fastening rigidity, i-th of viscous damping coefficient, every piece of floating plate rail fastening quantity, The vibration isolator quantity of every piece of floating plate, the rigidity of j-th vibration isolator spring, j-th vibration isolator spring viscous damping coefficient, magnetic The stiffness coefficient of rheological damper, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to outer The starting force of power;
Vibration parameters analytical unit, for according to track plates elasticity modulus, second polar moment of area, track plates mass parameter, track Plate length, i-th of rail fastening rigidity, i-th of viscous damping coefficient, the rail fastening quantity of every piece of floating plate, every piece it is floating The vibration isolator quantity of plate, the rigidity of j-th vibration isolator spring, j-th vibration isolator spring viscous damping coefficient, magnetorheological damping The stiffness coefficient of device, the viscous damping coefficient of MR damper, controllable Coulomb damping power, track are not applied to the initial of external force The free beam vertical vibration equation analysis of power and presetting track plates goes out floating plate track vibration parameters, wherein described floating Set vibration vertical deviation and speed, j-th vibration isolator fulcrum power, j-th of magnetic that plate track vibration parameter includes at least floating plate Rheology damping force;
Parameter selectes unit, for selecting to j-th of magnetorheological damping power, so that j-th of magnetorheological damping after selected Power meets
7. half active damper of floating plate track fundamental frequency according to claim 6, which is characterized in that the vibration parameters Analytical unit is specifically used for
Free beam vertical vibration equation according to presetting track platesWherein,
Es, be track plates elasticity modulus, Is is second polar moment of area;Ms is track plates mass parameter, Ls is track plates length;KpiIt is I rail fastening rigidity, CpiFor viscous damping coefficient;Zs(x, t) be floating plate vertical vibration vertical deviation,For The vertical velocity of floating plate;FrsiIt (t) is the rail reaction of supports;FssjIt (t) is j-th of vibration isolator fulcrum power;NpIt is each floating Rail fastening quantity on plate;NfFor the vibration isolator quantity under each floating plate;KsjRigidity, C for j-th of vibration isolator springsj For the viscous damping coefficient of j-th of vibration isolator spring;FcjIt (t) is j-th of magnetorheological damping power, whereink0Stiffness coefficient, c for MR damper itself0Certainly for MR damper The viscous damping coefficient of body, FdFor controllable Coulomb damping power, x is the displacement of MR damper,For the speed of MR damper Degree, f0For the starting force that floating plate is not influenced by external factor, ZcFor the dimensionless hysteresis amount of coulomb friction.
8. half active damper of floating plate track fundamental frequency according to claim 7, which is characterized in that the floating plate rail Fundamental frequency half active damper in road further includes information transmitting unit, for that will meet Under conditions of floating plate vibration vertical deviation and speed, j-th vibration isolator fulcrum power and j-th magnetorheological damping power and The intelligent terminal is sent to show.
9. half active damper of floating plate track fundamental frequency according to claim 7, which is characterized in that the floating plate rail Half active damper of road fundamental frequency further include:
Searching unit, for finding out the smallest marginal vibration vertical deviation and the vertical position of the smallest marginal vibration of floating plate Move corresponding magnetorheological damping power;
The information transmitting unit is specifically used for shaking the smallest marginal vibration vertical deviation of floating plate and the smallest limit The dynamic corresponding magnetorheological damping power of vertical deviation is sent to the intelligent terminal and shows.
10. half active damper of floating plate track fundamental frequency according to claim 7, which is characterized in that the track vibration Dynamic parameter further includes floating plate vibration acceleration, half active damper of floating plate track fundamental frequency further include:
Computing unit calculates the vibration acceleration of floating plate for vibration vertical deviation, speed and the time according to floating plate;
The information transmitting unit is also used to be sent to the intelligent terminal in the track vibration parameter that will be analyzed and show simultaneously The vibration acceleration of floating plate is sent to intelligent terminal to show.
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