CN107203669A - A kind of Reverse optimization design method of MR damper - Google Patents

A kind of Reverse optimization design method of MR damper Download PDF

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CN107203669A
CN107203669A CN201710411418.5A CN201710411418A CN107203669A CN 107203669 A CN107203669 A CN 107203669A CN 201710411418 A CN201710411418 A CN 201710411418A CN 107203669 A CN107203669 A CN 107203669A
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magnetic circuit
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damper
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CN107203669B (en
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徐赵东
王成
赵玉亮
苗安男
杨昀
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Southeast University
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses a kind of Reverse optimization design method of MR damper, this method passes through selected required maximum damping force and adjustability coefficients, geometry designs and magnetic Circuit Design are united and carry out Reverse optimization design, until MR damper meets required maximum damping force and adjustability coefficients under relatively small size;Wherein, geometry designs utilize MATLAB simulation softwares computational geometry design object value, and magnetic Circuit Design utilizes ANSYS finite element stimulation magnetic Circuit Design desired values.The Reverse optimization design method of the present invention had both met the precision of hollow magnetic field intensity solution of magnetic Circuit Design, and the interdependence between geometry designs and magnetic Circuit Design is taken into full account again, effectively prevent and the waste of magnetic saturation phenomenon or magnetic circuit material occur too early;This method is workable, and theoretical direction is provided for the design of MR damper, is easy to its engineer applied and popularization.

Description

A kind of Reverse optimization design method of MR damper
Technical field
The present invention relates to a kind of Reverse optimization design method of the MR damper available for field of intelligent control.
Background technology
In recent years, China mitigates earthquake and the research of high wind disaster to engineering structure increasingly using vibration control technology Many, specific technological means is also increasing, and is widely used in Practical Project.Structural vibration control refers to by structure Control member and control device are set up, what is be passively or actively when structural vibration applies one group of controling power to structure, reduce or press down The dynamic response of structure processed, with the requirement of the security, usability and comfort level that meet structure.
MR damper is the representative of semi-automatic control device in structural vibration control, with small, the big, sound of exerting oneself that consumes energy The advantages of answering fast speed, damping force continuously adjustabe, can be achieved preferable vibration control effect.Obviously, easily and effectively magnetorheological Damper designs method to its make and engineer applied for it is most important.At present, the basic ideas of MR damper are designed Substantially:It is first depending on damper maximum damping force design damper geometric parameter;Then selected most according in geometry designs The parameter size that magnetic induction intensity and geometry designs needed for big shear yield strength are determined, magnetic is carried out using ohm's law for magnetic circuit Design on road.This mentality of designing is although practical, but design process is that geometry designs are separated and independently performed with magnetic Circuit Design , fail to take into full account between the two interrelated.For problem above, have scholar introduce Optimize magnetic circult magnetic Circuit Design with Geometry designs combine together, it is proposed that a kind of shearing valve type magneto-rheological damper designs method of simplification;But its magnetic circuit part It is still that the calculation formula obtained using ohm's law for magnetic circuit is designed, but ferromagnet combining structure is complex, so Hardly result in the accurate analytic solutions of space magnetic field intensity after being powered.There is scholar precisely to emulate magnetic field using finite element, with maximum resistance Buddhist nun's power and adjustability coefficients are optimization aim, using multi-objective genetic algorithm, MR damper are optimized design;But its Object function is to make maximum damping force maximum and make adjustability coefficients maximum, and is typically in given institute in Practical Project Vibration Absorption Designing Need to carry out reverse link parameter optimization design in the case of maximum damping force and adjustability coefficients so that damper is full under less size Sufficient design requirement.Therefore innovation must be sought on the basis of existing Design of MR dampers method.
The content of the invention
Goal of the invention:The technical problems to be solved by the invention are to provide a kind of Reverse optimization design of MR damper Method so that damper disclosure satisfy that given maximum damping force and adjustability coefficients requirement under reduced size.
The content of the invention:In order to solve the above technical problems, the technology used in the present invention means are:
A kind of Reverse optimization design method of MR damper, this method passes through the maximum damping force needed for determination and can Coefficient is adjusted, geometry designs and magnetic Circuit Design are united and carry out Reverse optimization design, until MR damper is relatively small Size under meet required maximum damping force and adjustability coefficients;Wherein, geometry designs calculate several using MATLAB simulation softwares What design object value, magnetic Circuit Design utilizes ANSYS finite element stimulation magnetic Circuit Design desired values.
The inventive method specifically includes following steps:
Step 1, the design object value of MR damper is selected:Maximum damping force U*With adjustability coefficients β0
Step 2, the maximal rate of damper rod needed for being determined according to actual vibration situationIn conjunction with the magnetic of selection Rheology liquid and magnetic circuit material determine the corresponding maximum shear yield strength τ in magnetic flow liquid operating pointy, and null field viscosities il;
Step 3, the maximum damping force U determined according to step 1*, calculated according to Machine Design specification and characteristic of material mechanics Required diameter of piston rod d and outer shell barrel thickness t intensity limit value;
Step 4, the permeance of each material is determined and according to the maximum shear yield strength τ selected in step 2ySearch Magnetic circuit needs magnetic induction density B at the working clearance0
Step 5, the diameter of piston rod d determined according to step 3 intensity limit value carries out geometry designs;
Step 6, at the magnetic circuit working clearance that the outer shell barrel thickness t determined according to step 3 intensity limit value and step 4 is determined Required magnetic induction density B0Carry out magnetic Circuit Design;
Step 7, judge whether the geometric parameter and magnetic circuit parameters of design meet requirement, repeat to walk if being unsatisfactory for requiring Rapid 5~6, until geometric parameter and magnetic circuit parameters reach minimum dimension and meet the design maximum damping force U determined in step 1* With adjustability coefficients β0Requirement.
Wherein, in step 5, the design procedure of the geometry designs includes:(1) preliminary selection physical dimension parameter piston is straight Footpath D, diameter of piston rod d, working clearance width h and piston effective length L;(2) current choosing is calculated using MATLAB simulation softwares The maximum damping force and adjustability coefficients obtained under the initial parameter taken;(3) numerical value and Jiang (2) obtained and design object value ratio Compared with if being unsatisfactory for design requirement, selection physical dimension parameter, repeats (1)~(3), the number obtained until simulation calculation again Untill value meets design requirement;(4) after the numerical value that simulation calculation is obtained meets design requirement, then the initial parameter of setting is judged Whether can further reduce, if can if choose smaller value repeat step (1)~(4) again, otherwise choose the ginseng of setting Number is design result.
Wherein, in step 6, the design procedure of the magnetic Circuit Design includes:(1) it is preliminary to choose according to geometry designs result Determine turn number N, outer shell barrel thickness t, grooving length a and width b;(2) magnetic circuit ANSYS finite element stimulation workplaces are utilized Average magnetic induction intensity at gap(3) judge whether grooving length a and width b is less than limit value, carried out if meeting next Step, otherwise re-starts geometry designs and carries out step (1)~(3);(4) be averaged magnetic strength in judgment step (2) at the working clearance Answer intensityWhether magnetic induction density B at the selected magnetic circuit working clearance is more than or equal to0, if it is satisfied, then next step is carried out, Otherwise repeat step (1)~(4);(5) judge setting initial parameter whether can further reduce, if can if select again Smaller value repeat step (1)~(5) are taken, the parameter set are otherwise chosen as design result.
Wherein, it is considered to which grooving length a and width b mechanical characteristic requirement, grooving length a limit value takes piston head length A quarter, grooving width b limit value takes 1/2nd of piston head diameter and diameter of piston rod difference.
Wherein, the concrete analysis process of the ANSYS finite element simulations is:(1) two-dimensional static analysis type, unit are selected From two-dimentional 8 Node Quadrilateral Element solid element Plane53;(2) piston, cylinder are set up according to the permeance of known materials respectively The FEM model of cylinder, gap magnetic flow liquid, coil, air and sealing epoxy resin part;(3) boundary line applies outside model The parallel boundary condition of magnetic flux, grid division;(4) excitation is applied in the form of current density, carrying out static state to the model asks Solution;(5) enter post processing, check magnetic field strength date, be operated gap location average magnetic induction intensityCalculating.
Wherein, the calculation formula of the maximum damping force and adjustability coefficients is respectively:
FMRD, max=Fτ+Fη+Fp0
In formula, p0=1.2Mpa.
Compared to prior art, technical solution of the present invention have the advantage that for:
First, the inventive method is set by unified geometry designs and magnetic Circuit Design to MR damper progress Reverse optimization Meter so that damper disclosure satisfy that given maximum damping force and adjustability coefficients requirement under reduced size;Meanwhile, utilize Desired value in MATLAB and ANSYS difference simulation calculation geometry designs and magnetic Circuit Design, tentative calculation repeatedly, Integrated comparative is met It is required that untill, the precision of hollow magnetic field intensity solution of magnetic Circuit Design had so both been met, geometry designs and magnetic are taken into full account again Interdependence between the design of road, effectively prevent and the waste of magnetic saturation phenomenon or magnetic circuit material occur too early;Secondly, design Known maximum damping force and adjustability coefficients in engineering structure Vibration Absorption Designing have been adapted in flow and has carried out reverse design magnetic current variable resistance The flow demand of Buddhist nun's device, has reached the economy in engineering;Finally, the inventive method is workable, is MR damper Design provide theoretical direction, be easy to its engineer applied and popularization.
Brief description of the drawings
Fig. 1 is the FB(flow block) of the Reverse optimization design method of MR damper of the present invention;
Fig. 2 is the BH curve of magnetic circuit material;
Fig. 3 is magnetic flow liquid null field viscosity-rate curve;
Fig. 4 is magnetic flow liquid BH curve;
Fig. 5 is magnetic flow liquid τy- B curves.
Embodiment
According to following embodiments, the present invention may be better understood.However, as it will be easily appreciated by one skilled in the art that real Apply the content described by example and be merely to illustrate the present invention, without should be also without limitation on sheet described in detail in claims Invention.
As shown in figure 1, the Reverse optimization design method of MR damper of the present invention, in given required maximum damping force In the case of adjustability coefficients, geometry designs and magnetic Circuit Design are united and optimize design, to cause magnetorheological damping Device disclosure satisfy that required maximum damping force and adjustability coefficients under less size.
With reference to the characteristics of civil engineering structure damping with unified process of optimization, the present embodiment designs a damping force 1.5KN MR damper, i.e. maximum damping force U*=1.5KN, damper work maximal rateFor 25mm/s, adjustable system Number β0Take 1.2.Piston and piston rod use DT4Electrical pure iron, and piston and piston rod are connected as a single entity, remaining component is adopted With 45#Steel, Fig. 2 is both BH curves.The a diameter of 1mm of enamel-cover line options copper conductor.Enamel-covered wire, sky during finite element modelling Gas, the relative permeability of epoxy resin take 1.Magnetic flow liquid can be the magnetic flow liquid of in the market, it is preferred that this seminar The CB22 type magnetic flow liquids of development, wherein, Fig. 3 is null field viscosity-tensionvelocity curve of the magnetic flow liquid at 25 DEG C, and Fig. 4 is The BH curve of magnetic flow liquid, Fig. 5 is the τ of magnetic flow liquidy- B curves.Magnetic induction density B=300mT is measured, magnetic flow liquid τ is takeny- Point when magnetic induction intensity is 0.3T in B curves is the operating point of magnetic flow liquid, so magnetic strength at the working clearance in magnetic Circuit Design Answer intensity B0For 0.3T, now corresponding maximum shear yield strength τyFor 4.64KPa.Null field viscosity-speed is fitted according to Fig. 3 Relation curve to calculate null field viscosities il under damper work maximal rate 25mm/s be 1.45pa.s.In view of magnetic saturation electric current Too small, then the adjustable range of electric current is smaller, and magnetic saturation electric current is too big, then damper power is larger, easily hot, considers selected ImaxFor 1.5A.Diameter of piston rod d intensity is calculated according to Machine Design specification, characteristic of material mechanics and damper stressing conditions Limit value is 10.23mm (piston rod perforate 4mm), and outer shell barrel thickness t intensity limit value is 3.05mm.
Unified optimization design is carried out to MR damper according to the FB(flow block) shown in Fig. 1, when progress magnetorheological damping When device is designed, design object is first given, then geometry designs are carried out according to selected materials performance, then on the basis of geometry designs Magnetic Circuit Design is carried out, compares design parameter to obtain final parameter design value.Whole process is based on MATLAB and ANSYS two The simulation result of software is exchanged, the geometry designs of calculating and the desired value of magnetic Circuit Design, if being unsatisfactory for design requirement, returns again to weight New value, emulate, compare, untill meeting design requirement.
The calculation formula of maximum damping force and adjustability coefficients is as follows in the inventive method:
In formula, p0=1.2Mpa.
The concrete analysis process of magnetic circuit ANSYS finite element simulations is in the inventive method:(1) two-dimensional static analysis classes are selected Type, unit selects two-dimentional 8 Node Quadrilateral Element solid element Plane53;(2) work is set up according to the permeance of known materials respectively Plug, cylinder barrel, gap magnetic flow liquid, coil, air and the FEM model of sealing epoxy resin part;(3) in model external boundary Line applies the parallel boundary condition of magnetic flux, grid division;(4) applied in the form of current density (total current divided by area coil) Plus excitation, static solution is carried out to the model;(5) enter post processing, check magnetic field strength date, be operated gap location and be averaged The calculating of magnetic induction intensity.
It can be seen that, the unified process of optimization of MR damper is really continuous adjusting parameter until meeting design requirement Process.By the above-mentioned design process of iterative cycles, comprehensive Practical Project situation, the final parameter size for determining damper, in detail It is shown in Table 1.Now damper calculating desired value is:FMRD, max=1557.17N, β0=1.23,The inventive method can be grasped The property made is strong, provides theoretical direction for the design of MR damper, is easy to its engineer applied and popularization.
The major parameter size of the MR damper of table 1
Obviously, above-described embodiment is only intended to clearly illustrate example of the present invention, and is not to the present invention The restriction of embodiment.For those of ordinary skill in the field, it can also be made on the basis of the above description Its various forms of changes or variation.There is no necessity and possibility to exhaust all the enbodiments.And these belong to this hair Among the obvious changes or variations that bright spirit is extended out is still in protection scope of the present invention.

Claims (7)

1. a kind of Reverse optimization design method of MR damper, it is characterised in that:This method passes through the maximum needed for determination Damping force and adjustability coefficients, geometry designs and magnetic Circuit Design are united and carry out Reverse optimization design, until magnetorheological damping Device meets required maximum damping force and adjustability coefficients under relatively small size;Wherein, geometry designs are emulated using MATLAB Software computational geometry design object value, magnetic Circuit Design utilizes ANSYS finite element stimulation magnetic Circuit Design desired values.
2. the Reverse optimization design method of MR damper according to claim 1, it is characterised in that:Specifically include as Lower step:
Step 1, the design object value of MR damper is selected:Maximum damping force U*With adjustability coefficients β0
Step 2, the maximal rate of damper rod needed for being determined according to actual vibration situationIn conjunction with the magnetorheological of selection Liquid and magnetic circuit material determine the corresponding maximum shear yield strength τ in magnetic flow liquid operating pointyWith null field viscosities il;
Step 3, the maximum damping force U determined according to step 1*, it is living needed for being calculated according to Machine Design specification and characteristic of material mechanics Stopper rod diameter d and outer shell barrel thickness t intensity limit value;
Step 4, the permeance of each material is determined and according to the maximum shear yield strength τ selected in step 2ySearch magnetic circuit Magnetic induction density B is needed at working clearance0
Step 5, the diameter of piston rod d determined according to step 3 intensity limit value carries out geometry designs;
Step 6, institute's need at the magnetic circuit working clearance that the outer shell barrel thickness t determined according to step 3 intensity limit value and step 4 is determined Magnetic induction density B0Carry out magnetic Circuit Design;
Step 7, judge whether the geometric parameter and magnetic circuit parameters of design meet requirement, the repeat step 5 if being unsatisfactory for requiring ~6, until geometric parameter and magnetic circuit parameters reach minimum dimension and meet the design maximum damping force U determined in step 1*With can Adjust factor beta0Requirement.
3. the Reverse optimization design method of MR damper according to claim 2, it is characterised in that:In step 5, institute Stating the design procedure of geometry designs includes:(1) it is preliminary to choose physical dimension parameter piston diameter D, diameter of piston rod d, workplace Gap width h and piston effective length L;(2) calculated and obtained most under the initial parameter currently chosen using MATLAB simulation softwares Big damping force and adjustability coefficients;(3) numerical value and by (2) obtained is compared with design object value, if being unsatisfactory for design requirement, again Physical dimension parameter is chosen, (1)~(3) are repeated, untill numerical value that simulation calculation is obtained meets design requirement;(4) when The numerical value that simulation calculation is obtained is met after design requirement, then judges whether the initial parameter of setting can further reduce, if Smaller value repeat step (1)~(4) can be then chosen again, otherwise choose the parameter set as design result.
4. the Reverse optimization design method of MR damper according to claim 2, it is characterised in that:In step 6, institute Stating the design procedure of magnetic Circuit Design includes:(1) according to geometry designs result, it is preliminary choose determine turn number N, outer shell barrel thickness t, Grooving length a and width b;(2) average magnetic induction intensity at the ANSYS finite element stimulation working clearances is utilized(3) judge Whether grooving length a and width b is less than limit value, carries out next step if meeting, otherwise re-starts geometry designs and carry out Step (1)~(3);(4) average magnetic induction intensity at the working clearance in judgment step (2)Whether selected magnetic is more than or equal to Magnetic induction density B at the working clearance of road0, if it is satisfied, then carrying out next step, otherwise repeat step (1)~(4);(5) judge to set Whether fixed initial parameter can further reduce, if can if choose smaller value repeat step (1)~(5) again, otherwise The parameter set is chosen as design result.
5. the Reverse optimization design method of MR damper according to claim 4, it is characterised in that:Consider that grooving is long A and width b mechanical characteristic requirement is spent, grooving length a limit value takes a quarter of piston head length, grooving width b limit Value takes 1/2nd of piston head diameter and diameter of piston rod difference.
6. the Reverse optimization design method of MR damper according to claim 4, it is characterised in that:The ANSYS The concrete analysis process of finite element simulation is:(1) two-dimensional static analysis type is selected, unit is real from two-dimentional 8 Node Quadrilateral Element Body unit Plane53;(2) piston, cylinder barrel, gap magnetic flow liquid, coil, sky are set up according to the permeance of known materials respectively Gas and the FEM model of sealing epoxy resin part;(3) boundary line applies the parallel boundary condition of magnetic flux outside model, draws Subnetting lattice;(4) apply excitation in the form of current density, static solution is carried out to the model;(5) enter post processing, check magnetic Field strength degrees of data, is operated gap location average magnetic induction intensityCalculating.
7. the Reverse optimization design method of MR damper according to claim 1 or 2, it is characterised in that:It is described most Big damping force and the calculation formula of adjustability coefficients are as follows:
<mrow> <msub> <mi>F</mi> <mrow> <mi>M</mi> <mi>R</mi> <mi>D</mi> <mo>,</mo> <mi>max</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>F</mi> <mi>&amp;tau;</mi> </msub> <mo>+</mo> <msub> <mi>F</mi> <mi>&amp;eta;</mi> </msub> <mo>+</mo> <msub> <mi>F</mi> <msub> <mi>p</mi> <mn>0</mn> </msub> </msub> <mo>;</mo> </mrow>
<mrow> <mi>&amp;beta;</mi> <mo>=</mo> <mfrac> <msub> <mi>F</mi> <mi>&amp;tau;</mi> </msub> <mrow> <msub> <mi>F</mi> <mi>&amp;eta;</mi> </msub> <mo>+</mo> <msub> <mi>F</mi> <msub> <mi>p</mi> <mn>0</mn> </msub> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>
In formula, p0=1.2Mpa.
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CN111677806A (en) * 2020-04-27 2020-09-18 清华大学 Method and system for determining damping force of magnetorheological shock absorber

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CN111677806A (en) * 2020-04-27 2020-09-18 清华大学 Method and system for determining damping force of magnetorheological shock absorber
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