CN114877006B - Magnetorheological damper formed by stepped piston cylinder - Google Patents

Magnetorheological damper formed by stepped piston cylinder Download PDF

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CN114877006B
CN114877006B CN202210364686.7A CN202210364686A CN114877006B CN 114877006 B CN114877006 B CN 114877006B CN 202210364686 A CN202210364686 A CN 202210364686A CN 114877006 B CN114877006 B CN 114877006B
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piston cylinder
damper
cylinder body
electromagnetic coil
piston rod
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CN114877006A (en
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徐涵欧
李延成
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Shenzhen Chaoshang Technology Co ltd
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F9/00Springs, vibration-dampers, shock-absorbers, or similarly-constructed movement-dampers using a fluid or the equivalent as damping medium
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    • F16F9/535Magnetorheological [MR] fluid dampers
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
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Abstract

The invention discloses a magnetorheological damper consisting of a stepped piston cylinder, which relates to the technical field of new energy automobile accessories and comprises a piston cylinder consisting of an end cover and a cylinder barrel, a piston rod provided with a lifting ring and a magnetic conduction ring provided with a plurality of coils, wherein the piston cylinder is designed into three inner cylinders with different inner diameters, and the outer side of the cylinder body is provided with a heat dissipation layer so as to solve the defect that the heat in a rigid body cannot be dissipated in time; and optimizing an S-shaped transition curve at the inner diameter change part of the inner side of the cylinder by using a genetic algorithm and a polynomial fitting principle, and applying the S-shaped transition curve to the joint of the inner wall of the cylinder. The magnetorheological fluid and the damper are combined, so that the damper can perform real-time damping change, vibration of an automobile caused by road condition change in the driving process is reduced, the comfort experience of a user is improved, the structure is simple, and the self-adaptive capacity is strong.

Description

Magnetorheological damper formed by stepped piston cylinder
Technical Field
The invention relates to the technical field of new energy automobile accessories, in particular to a magnetorheological damper consisting of a stepped piston cylinder.
Background
In the modern society with high development of science and technology, new energy automobiles have become more popular travel tools. In the research, development and use of new energy vehicles, the safety of the new energy vehicles and the comfort of customers are two very important indexes. Dampers are a key accessory to reduce vibration in terms of customer comfort. The traditional damper or hydraulic damper can not adjust the damping reasonably according to the actual road condition, and cannot meet the self-adaptive adjustment. The magnetorheological damper can change the viscosity of the working fluid by using intelligent material magnetorheological fluid and introducing an external magnetic field, so that the required damping force can be achieved under the actual working condition. Therefore, the magneto-rheological damper can improve the comfort experience of a client of the new energy automobile in the driving process, and has a good application prospect on the damping and shock absorption functions of the new energy automobile accessory industry.
In the prior art, the magnetorheological automobile damper consists of a piston rod, a piston on the rod, an electromagnetic coil at the piston and other core components. The lead of the electromagnetic coil is generally led out through a hollow piston rod to be communicated with an external power supply. A flow passage for the magnetorheological fluid is left on the piston. When the external power supply works, the electromagnetic coil generates a magnetic field by changing the current and the electrifying time, and the magnetorheological fluid is in a working state and generates corresponding damping force under different magnetic fields. End covers or pressing blocks are designed at two ends of the piston rod. The working area of the magnetorheological fluid is a sealed space, and heat generated by electrifying the coil in the space is not easy to dissipate.
Chinese patent CN 113431863A discloses a damping adaptive tuning magnetorheological damper, which comprises a cylinder, a piston valve, a piston rod, and an excitation coil. The inner diameter of the cylinder wall of the cylinder barrel is respectively reduced and changed in a multi-stage manner from the center to the left side and the right side, so that the area of a liquid flow channel is gradually reduced, and the restoring force model parameters of the magnetorheological damper are gradually increased under the action of the magnetic field of the excitation coil. The method is used for realizing the adaptive adjustment of the magneto-rheological damping parameters under the condition of constant current, but the method does not teach the positioning and fixing of the middle piston, and a curve at a step transition part does not provide a method for optimizing design and does not consider heat dissipation.
Chinese patent CN 108930753A discloses a double-coil magnetorheological damper with multi-section axial fluid flow damping channels, which mainly comprises a piston rod, an end cover, a cylinder body, an excitation coil, a magnetic conduction ring, a magnetism isolation ring, an inner sleeve and the like. Four sections of axial liquid flow damping channels are respectively formed between the inner sleeve and the left magnetic conductive ring, between the inner sleeve and the left end cover, between the inner sleeve and the right magnetic conductive ring and between the inner sleeve and the right end cover. The working area of the magnetorheological fluid is increased by the design of the inner sleeve and the dispersed arrangement of the coils, but the damper is complex in structure.
Disclosure of Invention
The invention aims to provide a magnetorheological damper formed by a stepped piston cylinder. Through the multi-coil arrangement of the stepped piston cylinder body and the electromagnetic coil iron core and the optimization processing of the curve at the stepped transition position, the magneto-rheological damper can realize the damping force adjustment in a larger range, the output of the maximum damping force and the self-adaptive adjustment for different road conditions in shorter response time.
The invention provides a magnetorheological damper consisting of a stepped piston cylinder, which comprises a left lifting ring, a piston rod, a damper left end cover, a sealing ring, a piston cylinder body, a heat dissipation layer, a clamp spring, an insulating gasket, an electromagnetic coil iron core, an electromagnetic coil, a lead, a sealing ring, a right lifting ring and a screw, wherein the heat dissipation layer is fixed on the outer side of the piston cylinder body; the left end cover of the damper is connected to the left side of the piston cylinder body through a screw; the piston rod is provided with the electromagnetic coil iron core and penetrates through the piston cylinder body; the electromagnetic coil iron core is provided with two grooves, electromagnetic coils are uniformly wound on the peripheries of the two grooves, the two grooves meet the arrangement requirement of multiple coils, and a larger shearing area can be realized in the working of the magneto-rheological damper; the left and right sides of the piston rod are provided with a left hanging ring and a right hanging ring, wherein,
the inner side of the piston cylinder body adopts a stepped structure and is provided with three first inner circular surfaces, second inner circular surfaces and third inner circular surfaces, the radiuses of the first inner circular surfaces, the second inner circular surfaces and the third inner circular surfaces are gradually and discretely reduced from the middle to the two sides, and after external current is input, when an electromagnetic coil iron core moves to a place where the radius of the inner circular surface of the inner side of the piston cylinder body is smaller, the output damping force is larger, and vice versa, the output damping force is smaller; and transition type curved surfaces with S-shaped sections are designed at the transition positions of the first inner circular surface and the second inner circular surface and the transition positions of the second inner circular surface and the third inner circular surface so as to slow down the impact of the magnetorheological fluid on the wall transition positions.
Preferably, the cross-sectional shape of the transition curved surface is determined by using a genetic algorithm and a polynomial fitting principle: by assuming the forms of 4-order and 6-order polynomials, taking the parameters as individuals in a population, taking the minimum energy generated by impact as an optimization target, determining the value of each parameter by using a genetic algorithm, and further designing a curved surface conforming to the optimization target, the method specifically comprises the following steps:
s1, establishing a mathematical model: determining a limiting condition, a target function and a termination genetic iteration number;
s2, coding the actual problem by adopting a binary coding mode to generate individuals and an initial population;
s3, mapping the target function to a fitness function and evaluating the fitness value of the individual based on the fitness function; when the objective function has strict monotone increasing performance, the objective function is the same as the fitness function; when the objective function is decreased progressively, the objective function and the fitness function are reciprocal;
s4, obtaining a new population through a biological evolution mechanism principle of several selections, single-point crossing and basic potential variation;
s5, screening out an optimal individual;
and S6, decoding, namely converting the optimal solution conclusion in mathematics into the optimal solution in the actual problem.
Preferably, the step S1 of establishing the objective function includes:
s11: the cross section S curve of the curved surface can be expressed by a polynomial:
S:f(x)=a 0 +a 1 x+a 2 x 2 +…+a n x n
wherein, a 0 、a 1 、……a n Coefficients for each term in the polynomial, respectively;
s12: the damping force calculation formula of the damper is as follows:
Figure BDA0003585731900000041
f is output damping force; f η Viscous damping force; f τ Coulomb damping force; f. of 0 Is a friction resistanceDamping force, wherein:
Figure BDA0003585731900000042
Figure BDA0003585731900000043
eta is dynamic viscosity; l is 1 To shear the effective length; d is the diameter of the piston; h is a working gap; tau is y Shear yield stress; s is the effective area of the piston, and the calculation formula of S is as follows:
Figure BDA0003585731900000044
d is the diameter of the piston rod;
s13: the working clearance h is a function of undetermined coefficients, the working clearance of the magneto-rheological damper is set to be 0.2-1 mm, and two-stage degressive is considered, so that the requirements are as follows:
h=f(a 0 ,a 1 ,a 2 ,…a n )≤1mm
s14: the impact force of the magnetorheological damper on the wall surface in the working process is set to be P,
therefore, the minimum impact force and the maximum damping force are taken as final optimization targets:
Figure BDA0003585731900000051
the constraint conditions are as follows:
Figure BDA0003585731900000052
preferably, in S4, the roulette wheel selection method for a plurality of times includes:
s41, calculating the fitness value of each individual: fitval (i);
s42, calculating the total adaptive value of the population:
Figure BDA0003585731900000053
s43, the probability of each individual being selected is as follows:
Figure BDA0003585731900000054
s44, calculating the cumulative probability of each individual:
Figure BDA0003585731900000055
s45, generating a random number r in a wheel disc from 0 to 1; r is more than or equal to 0 and less than or equal to 1
If Ap i-1 <r≤Ap i (ii) a The ith individual is selected for next generation inheritance.
Preferably, three inner circular surfaces of the inner side of the piston cylinder body and the outer circular surface of the electromagnetic coil iron core jointly form a working channel of magnetorheological fluid.
Preferably, the working channel in the cylinder body of the piston cylinder is filled with magnetorheological fluid, the magnetorheological fluid is Newtonian fluid when no magnetic field exists, suspended particles under the action of a strong magnetic field are changed from magnetic neutrality to strong magnetism due to magnetic induction, the suspended particles interact with each other to form a chain-shaped structure between magnetic poles, the chain-shaped structure shows mechanical properties similar to solid, and the magnetorheological fluid flows in a shearing mode.
Preferably, through holes are formed in the left end and the right end of the piston cylinder body, so that the piston rod penetrates through the piston cylinder body and drives the electromagnetic coil iron core to reciprocate, two through holes are formed in the electromagnetic coil iron core, the piston rod is subjected to hollow treatment and is provided with a deep hole and a radial hole, and the lead is connected with the electromagnetic coil and an external power supply sequentially through the radial hole, the deep hole and the through holes.
Preferably, the left end of the piston cylinder body and the left end cover of the damper are sealed through a sealing ring, the left side of the piston rod and the left end cover of the damper are sealed through the sealing ring, and the right side of the piston rod and the piston cylinder body are sealed through the sealing ring, so that overflow of magnetorheological fluid in a cavity of the piston cylinder body is prevented; the left end and the right end of the piston rod are respectively connected with a left hanging ring and a right hanging ring through threads, so that the magnetorheological damper is conveniently connected with a vehicle body; the right side of the electromagnetic coil iron core is fixed and positioned through a shaft shoulder of the piston rod, and the left side of the electromagnetic coil iron core is fixed and positioned through an insulating washer and a clamp spring.
Preferably, the electromagnetic coil is made of copper wires in a winding mode, the piston cylinder body is made of magnetic materials, and the heat dissipation layer is made of aluminum alloy materials.
The invention has the beneficial effects that:
1. the shearing force threshold value of the magnetorheological damper is large, namely the damping force adjusting range is large: through the inner circular surface of the three-stage inner diameter, the damping force output of the magnetorheological damper is influenced by external current and a working gap, and the adjustment range is larger; and the output of larger damping force is ensured by designing the minimum working clearance of 0.2 mm.
2. The curved surface optimization design is carried out by adopting a genetic algorithm, and the impact at the wall surface transition position is small, so that the impact of the magnetorheological fluid in the damper on the inner circle wall surface transition position can be minimized when the damper works, and the abrasion is reduced.
3. The radiating interlayer made of aluminum alloy is arranged on the periphery of the piston cylinder body, so that the situation that the coil is heated due to electrification and the inside of the cavity is overheated and cannot be dissipated can be guaranteed when the damper works.
4. The magneto-rheological damper is simple in structure, convenient to assemble, convenient to control, low in energy consumption and high in response speed, and is suitable for the field of automobile shock absorption.
Drawings
FIG. 1 is a simplified assembly diagram of a magnetorheological damper comprising stepped piston cylinders in accordance with the present invention;
FIG. 2 is a schematic diagram of a non-standard jump ring;
FIG. 3 is a flow chart of a genetic algorithm;
FIG. 4 is a schematic diagram of damper performance parameters;
fig. 5 is a graph illustrating a transition curved surface.
1-left side hoisting ring, 2-piston rod, 3-damper left end cover, 4-sealing ring, 5-piston cylinder body, 6-heat dissipation layer, 7-clamp spring, 8-insulating washer, 9-electromagnetic coil iron core, 10-electromagnetic coil, 11-lead wire, 12-sealing ring, 13-right side hoisting ring, 14-screw, A-first inner circular surface, B-second inner circular surface, C-third inner circular surface, S-transition type curved surface, I-threaded hole, II-through hole, III-deep hole and IV-radial hole.
Detailed Description
The present invention will be further illustrated with reference to the following specific examples.
As shown in fig. 1, a magnetorheological damper composed of a stepped piston cylinder comprises a piston cylinder body 5 and a heat dissipation layer 6 arranged on the outer side of the piston cylinder body 5; the damper left end cover 3 is arranged on the left side of the piston cylinder body 5; the piston rod 2 is arranged in the cavity of the piston cylinder body 5; an electromagnetic coil iron core 9 arranged at the middle section of the piston rod 2; the electromagnetic coils 10 are uniformly wound at the grooves of the electromagnetic coil iron core 9; a left hoisting ring 1 arranged on the left side of the piston rod 2; and a right-hand lifting ring 13 arranged on the right side of the piston rod 2. A non-standard clamp spring 7 is provided for fixing and positioning the solenoid core 9, and the structure of the non-standard clamp spring 7 is shown in fig. 2.
In the embodiment, through holes are arranged at the left end and the right end of the piston cylinder body 5, so that the piston rod 2 can penetrate through the piston cylinder body 5 and drive the electromagnetic coil iron core 9 to reciprocate; the left end of a piston cylinder body 5 is assembled and connected with a damper left end cover 3 through a screw 14, the left end of the piston cylinder body 5 and the damper left end cover 3 are sealed through a sealing ring 4, the left side of a piston rod 2 and the damper left end cover 3 are sealed through a sealing ring 12, the right side of the piston rod 2 and the piston cylinder body 5 are sealed through the sealing ring 12, and accordingly overflow of magnetorheological fluid in a cavity of the piston cylinder body 5 is prevented; the left end and the right end of the piston rod 2 are respectively connected with a left hanging ring 1 and a right hanging ring 13 through threaded holes I, so that the magnetorheological damper is conveniently connected with a vehicle body; an electromagnetic coil iron core 9 is arranged in the middle section of the piston rod 2, the right side of the electromagnetic coil iron core 9 is fixed and positioned through a shaft shoulder of the piston rod 2, and the left side of the electromagnetic coil iron core 9 is fixed and positioned through an insulating washer 8 and a clamp spring 7; the electromagnetic coil iron core 9 is provided with two grooves, and electromagnetic coils 10 are uniformly wound on the peripheries of the grooves; the electromagnetic coil iron core 9 is provided with two through holes II, the piston rod 2 is subjected to hollow treatment and is provided with a deep hole III and a radial hole IV, and the lead 11 is connected with the electromagnetic coil 10 and an external power supply through the through holes, the deep hole III and the radial hole IV.
In the example, the inner side of the piston cylinder body 5 is designed in a grading way, and three first inner circular surfaces A, second inner circular surfaces B and third inner circular surfaces C are arranged, wherein the radiuses of the first inner circular surfaces A, the second inner circular surfaces B and the third inner circular surfaces C are gradually and discretely reduced from the middle to the two sides; the inner circle surface of the piston cylinder body 5 and the outer circle surface of the electromagnetic coil iron core 9 jointly form a working channel of the magnetorheological fluid. A transition type curved surface S with an S-shaped section is designed at the transition position of the first inner circular surface A and the second inner circular surface B as well as the transition position of the second inner circular surface B and the third inner circular surface C to slow down the impact of the magnetorheological fluid on the transition position of the wall surface; the section shape of the curved surface S is determined by adopting a genetic algorithm and a polynomial fitting principle, the S-shaped curve assumes a high-order polynomial form, parameters are used as individuals in a population, the minimum energy generated by impact is used as an optimization target, the values of all the parameters are determined by utilizing the genetic algorithm, and then the curved surface which accords with the optimization target is designed.
The specific steps of the genetic algorithm are shown in fig. 3:
the method comprises the following steps: establishing a mathematical model: determining a limiting condition, a target function and a termination genetic iteration number;
establishing an objective function:
1) As shown in fig. 5: the cross section S curve of the curved surface can be expressed by a polynomial:
S:f(x)=a 0 +a 1 x+a 2 x 2 +…+a n x n
wherein, a 0 、a 1 、……a n Coefficients for each term in the polynomial, respectively;
2) As shown in fig. 4: the performance of the damper is determined by the parameters shown in the figure, and the damping force calculation formula is as follows:
Figure BDA0003585731900000091
f is output damping force; f η Viscous damping force; f τ Coulomb damping force; f. of 0 Is a frictional damping force. Wherein:
Figure BDA0003585731900000092
Figure BDA0003585731900000093
eta is dynamic viscosity; l is 1 To shear the effective length; d is the diameter of the piston; h is a working gap; tau is y Shear yield stress; and S is the effective area of the piston. Wherein: the calculation formula of S is as follows:
Figure BDA0003585731900000094
d is the piston rod diameter.
The working clearance h is a function of undetermined coefficients, the working clearance of the magnetorheological damper is generally set to be 0.2-1 mm, and two-stage degressive is considered, so that the requirements are as follows:
h=f(a 0 ,a 1 ,a 2 ,…a n )≤1mm
and the impact force of the magnetorheological damper on the wall surface in the working process is P.
Therefore, the minimum impact force and the maximum damping force are taken as final optimization targets:
Figure BDA0003585731900000101
the constraint conditions are as follows:
Figure BDA0003585731900000102
g is the width of the solenoid.
Step two: coding the actual problem by adopting a binary coding mode to generate individuals and an initial population;
step three: mapping the target function to a fitness function and evaluating the fitness value of the individual based on the fitness function; the two may be the same when the objective function has a strictly monotonic increase, usually taking the reciprocal when the objective function decreases;
step four: obtaining a new population by the principles of biological evolution mechanisms such as a plurality of selections (roulette selection method), intersection (single-point intersection), variation (basic potential variation) and the like;
step five: screening out the optimal individuals;
step six: decoding, and converting the optimal solution conclusion in mathematics into the optimal solution in practical problem.
The specific working principle of the magnetorheological damper is as follows:
in this example, the piston rod 2 penetrates the piston cylinder body 5 and drives the electromagnetic coil iron core 9 to reciprocate in the cavity of the piston cylinder body 5 filled with magnetorheological fluid. An external power supply supplies current to an electromagnetic coil 10 at the groove of an electromagnetic coil iron core 9 in the cavity of the piston cylinder body 5 through a lead 11, and a magnetic field is generated around the electromagnetic coil 10. The magnetorheological fluid in the cavity is Newtonian fluid when no magnetic field exists, and suspended particles are changed into strong magnetism from magnetic neutrality due to magnetic induction under the action of the strong magnetic field, and interact with each other to form a chain-shaped bridge between magnetic poles, so that the chain-shaped bridge is converted into a macroscopic columnar structure, the magnetorheological fluid is instantly changed into a viscoplast from liquid, the rheological property of the magnetorheological fluid is rapidly changed, the mechanical property similar to solid is shown, and the magnetorheological fluid can generate shear flow. After external current is input, when the electromagnetic coil iron core 9 moves to a position where the radius of the inner circular surface at the inner side of the piston cylinder body 5 is smaller, the output damping force is larger, and conversely, the output damping force is smaller; therefore, in the moving process of the electromagnetic coil iron core 9 in the second inner circular surface B and the third inner circular surface C which are leftwards or backwards from the middle first inner circular surface A area, the magnetorheological fluid is extruded to pass through a working channel which is jointly formed by the inner circular surface of the piston cylinder body 5 and the outer circular surface of the electromagnetic coil iron core 9, the channel space is from large to small, and the damping force has the trend of small and large step change. The magnetorheological damper has large-range damping force adjustment and maximum damping force output.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered to be within the technical scope of the present invention, and the technical solutions and the inventive concepts thereof according to the present invention should be equivalent or changed within the scope of the present invention.

Claims (8)

1. The magnetorheological damper formed by the stepped piston cylinder is characterized by comprising a left lifting ring (1), a piston rod (2), a damper left end cover (3), a sealing ring (4), a piston cylinder body (5), a heat dissipation layer (6), a clamp spring (7), an insulating washer (8), an electromagnetic coil iron core (9), an electromagnetic coil (10), a lead (11), a sealing ring (12), a right lifting ring (13) and a screw (14), wherein the heat dissipation layer (6) is fixed on the outer side of the piston cylinder body (5); the damper left end cover (3) is connected to the left side of the piston cylinder body (5) through a screw (14); the piston rod (2) is provided with the electromagnetic coil iron core (9) and penetrates through the piston cylinder body (5); the electromagnetic coil iron core (9) is provided with two grooves, and electromagnetic coils (10) are uniformly wound on the peripheries of the two grooves; the left and right sides of the piston rod (2) are provided with a left lifting ring (1) and a right lifting ring (13), wherein,
the inner side of the piston cylinder body (5) adopts a stepped structure, three first inner circular surfaces (A), second inner circular surfaces (B) and third inner circular surfaces (C) are arranged, the radius of the first inner circular surfaces (A) gradually decreases from the middle to the two sides in a discrete mode, transition type curved surfaces (S) with S-shaped sections are designed at the transition positions of the first inner circular surfaces (A) and the second inner circular surfaces (B) and the transition positions of the second inner circular surfaces (B) and the third inner circular surfaces (C), and the section shapes of the transition type curved surfaces (S) are determined by adopting the principles of genetic algorithm and polynomial fitting: by assuming the forms of 4-order and 6-order polynomials, taking the parameters as individuals in a population, taking the minimum energy generated by impact as an optimization target, determining the value of each parameter by using a genetic algorithm, and further designing a curved surface conforming to the optimization target, the method specifically comprises the following steps:
s1, establishing a mathematical model: determining a limiting condition, a target function and a termination genetic iteration number;
s2, coding the actual problem by adopting a binary coding mode to generate individuals and an initial population;
s3, mapping the target function to a fitness function and evaluating the fitness value of the individual based on the fitness function; when the objective function has strict monotone increasing performance, the objective function is the same as the fitness function; when the objective function is decreased progressively, the objective function and the fitness function are reciprocal;
s4, obtaining a new population through a biological evolution mechanism principle of multiple selections, single-point crossing and basic bit variation;
s5, screening out the optimal individuals;
and S6, decoding, and converting the conclusion of the optimal solution in mathematics into the optimal solution in the actual problem.
2. The stepped piston cylinder magnetorheological damper of claim 1, wherein the step S1 of establishing the objective function comprises:
s11: the cross section S curve of the curved surface can be expressed by a polynomial:
S:f(x)=a 0 +a 1 x+a 2 x 2 +…+a n x n
wherein, a 0 、a 1 、……a n Coefficients for each term in the polynomial, respectively;
s12: the damping force calculation formula of the damper is as follows:
Figure FDA0003966637450000024
f is output damping force; f η Viscous damping force; f τ Coulomb damping force; f. of 0 Is a frictional damping force ofThe method comprises the following steps:
Figure FDA0003966637450000021
Figure FDA0003966637450000022
eta is dynamic viscosity; l is 1 To shear the effective length; d is the diameter of the piston; h is a working gap; tau is y Shear yield stress; s is the effective area of the piston, and the calculation formula of S is as follows:
Figure FDA0003966637450000023
d is the diameter of the piston rod;
s13: the working clearance h is a function of undetermined coefficients, the working clearance of the magnetorheological damper is generally set to be 0.2-1 mm, and two-stage degressive is considered, so that the requirements are as follows:
h=f(a 0 ,a 1 ,a 2 ,…a n )≤1mm
s14: the impact force of the magnetorheological damper on the wall surface in the working process is set to be P,
therefore, the minimum impact force and the maximum damping force are taken as final optimization targets:
Figure FDA0003966637450000031
the constraint conditions are as follows:
Figure FDA0003966637450000032
3. the magnetorheological damper consisting of stepped piston cylinders according to claim 1, wherein in the step S4, the method for selecting the roulette for a plurality of times comprises the following specific steps:
s41, calculating the fitness value of each individual: fitval (i);
s42, calculating the total adaptive value of the population:
Figure FDA0003966637450000033
s43, the probability of each individual being selected is as follows:
Figure FDA0003966637450000034
s44, calculating the cumulative probability of each individual:
Figure FDA0003966637450000041
s45, generating a random number r in a wheel disc from 0 to 1; r is more than or equal to 0 and less than or equal to 1
If Ap i-1 <r≤Ap i (ii) a The ith individual is selected for next generation inheritance.
4. The stepped piston cylinder type magnetorheological damper as recited in claim 1, wherein three inner circular surfaces of the inner side of the piston cylinder body (5) and the outer circular surface of the electromagnetic coil iron core (9) jointly form a working channel of the magnetorheological fluid.
5. The stepped piston cylinder type magnetorheological damper as recited in claim 4, wherein the working channel in the piston cylinder body (5) is filled with magnetorheological fluid, the magnetorheological fluid is Newtonian fluid in the absence of a magnetic field, particles suspended under the action of a strong magnetic field are changed from magnetic neutrality to strong magnetism due to magnetic induction, the particles interact with each other to form a chain-shaped structure between magnetic poles, the mechanical property similar to solid is shown, and the magnetorheological fluid flows in a shearing manner.
6. The magnetorheological damper formed by the stepped piston cylinder according to claim 1, wherein through holes are formed in the left end and the right end of the piston cylinder body (5), so that the piston rod (2) penetrates through the piston cylinder body (5) and drives the electromagnetic coil iron core (9) to reciprocate, two through holes (II) are formed in the electromagnetic coil iron core (9), the piston rod (2) is subjected to hollow treatment and provided with a deep hole (III) and a radial hole (IV), and the lead (11) is connected with the electromagnetic coil (10) and an external power supply sequentially through the radial hole (IV), the deep hole (III) and the through hole (II).
7. The stepped piston cylinder type magnetorheological damper according to claim 1, wherein the left end of the piston cylinder body (5) and the left end cover (3) of the damper are sealed by a sealing ring (4), the left side of the piston rod (2) and the left end cover (3) of the damper are sealed by a sealing ring (12), and the right side of the piston rod (2) and the piston cylinder body (5) are sealed by a sealing ring (12); the left end and the right end of the piston rod (2) are respectively connected with a left lifting ring (1) and a right lifting ring (13) through threaded holes; the right side of the electromagnetic coil iron core (9) is fixed and positioned through a shaft shoulder of the piston rod (2), and the left side of the electromagnetic coil iron core is fixed and positioned through an insulating washer (8) and a clamp spring (7).
8. The stepped piston cylinder type magnetorheological damper as claimed in claim 1, wherein the electromagnetic coil (10) is made of copper wire winding, the piston cylinder body is made of a magnetic conductive material, and the heat dissipation layer is made of an aluminum alloy material.
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