CN105224718B - The system of high speed railway car two laterally suspends the Optimization Design of Optimal damping ratio - Google Patents
The system of high speed railway car two laterally suspends the Optimization Design of Optimal damping ratio Download PDFInfo
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Abstract
The Optimization Design of Optimal damping ratio is laterally suspended the present invention relates to the system of high speed railway car two, belongs to high speed railway car suspension technical field.The present invention travels the yaw vibration differential equation by establishing 1/2 car body, utilize MATLAB/Simulink simulation softwares, construct the yaw vibration optimization design simulation model of two system's transverse direction suspension systems, and using orbital direction irregularity stochastic inputs as input stimulus, the minimum design object of vibration acceleration root-mean-square value moved with car body and wheel yaw, optimization design obtains the optimum damping ratio of two system's transverse direction suspension systems based on comfortableness and based on security, and then its Optimal damping ratio is calculated.By designing example and SIMPACK simulating, verifyings, the optimal damper ratio of the available accurately and reliably two system's transverse direction suspension systems of this method, the design that damping ratio is laterally suspended for the system of high speed railway car two provides reliable design method.Using this method, the design level and vehicle riding comfort and security of rail vehicle suspension system can be improved.
Description
Technical field
The present invention relates to high speed railway car suspension, the particularly system of high speed railway car two laterally to suspend Optimal damping ratio
Optimization Design.
Background technology
Two system's transverse direction suspension system damping ratios have important shadow to the riding comfort and security of high speed railway car
Ring, it designs or chosen, and is the important parameter for designing two transverse direction suspension system shock absorber valves parameter institute of system foundations.However, according to
Institute's inspection information is understood, because rail vehicle belongs to Mdof Vibration System, it is very tired that dynamic analysis calculating is carried out to it
Difficulty, laterally suspend the design of damping ratio for the system of high speed railway car two both at home and abroad at present, never provide the theory of system
Design method, mostly it is empirically to choose certain damping ratio (usual experience damping ratio is 0.2~0.4), then, by meter
Calculation machine technology, using Dynamics Simulation soft sim PACK or ADAMS/Rail, optimize by solid modelling and determine it
Size, although this method can obtain reliable simulation numerical, make vehicle that there is preferable power performance, however, with
The continuous improvement of rail vehicle travel speed, the design that people laterally suspend damping ratio to two systems propose higher requirement, mesh
The first two is that the method for laterally suspension damping ratio design can not provide the innovation theory with directive significance, it is impossible to meets rail vehicle
Development constantly in the case of speed-raising to absorber designing requirement.Therefore, it is necessary to establish a kind of accurate, reliable high speed railway car
Two systems laterally suspend the Optimization Design of Optimal damping ratio, meet rail vehicle in the case of constantly raising speed to absorber designing
It is required that improving the design level and product quality of high speed railway car suspension system, vehicle riding comfort and security are improved；
Meanwhile product design and testing expenses are reduced, shorten the product design cycle, strengthen the competition in the international market of China's rail vehicle
Power.
The content of the invention
For defect present in above-mentioned prior art, the technical problems to be solved by the invention be to provide it is a kind of accurate,
The reliable system of high speed railway car two laterally suspends the Optimization Design of Optimal damping ratio, and its design flow diagram is as shown in Figure 1；
1/2 car body traveling yaw vibration illustraton of model is as shown in Figure 2.
In order to solve the above technical problems, the system of high speed railway car two provided by the present invention laterally suspends Optimal damping ratio
Optimization Design, it is characterised in that use following design procedure：
(1) the 1/2 car body traveling yaw vibration differential equation is established：
According to the fully loaded quality m of 1/2 single-unit car body of rail vehicle3, the quality m of single bogie frame2, take turns pair etc.
Imitate quality m1, each wheel shaft weight W；The equivalent stiffness K to located lateral spring takes turns in one system1y, the equivalent stiffness K of central spring2y；Wait to set
Count the damping ratio ξ that two systems laterally suspend, wherein, two be lateral damper installation number for n, Equivalent damping coefficientThe half b of wheel and rail contact point horizontal spacing, wheel tread equivalent taper λ, the transverse direction of wheel
Creep coefficient f1, Vehicle Speed v；To take turns the yaw displacement y to barycenter1, the yaw displacement y of bogie frame barycenter2, car
The yaw displacement y of the constitution heart3For coordinate；With orbital direction irregularity stochastic inputs yaFor input stimulus；Establish 1/2 car body traveling
The yaw vibration differential equation, i.e.,：
Wherein,
(2) the yaw vibration optimization design simulation model of two system's transverse direction suspension systems is built：
The yaw vibration differential equation is travelled according to 1/2 car body established in step (1), utilizes Matlab/Simulink
Simulation software, build the yaw vibration optimization design simulation model of two system's transverse direction suspension systems；
(3) the optimization design object function J that two systems based on comfortableness laterally suspend optimum damping ratio is establishedc：
According to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with two
Laterally suspension damping ratio is design variable for system, using orbital direction irregularity stochastic inputs as input stimulus, obtained by emulation
Car body weaving vibration acceleration root-mean-square valueEstablish the laterally suspension optimum damping ratio of two systems based on comfortableness
Optimization design object function Jc, i.e.,：
(4) the optimization design object function J that two systems based on security laterally suspend optimum damping ratio is establisheds：
According to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with two
Laterally suspension damping ratio is design variable for system, using orbital direction irregularity stochastic inputs as input stimulus, obtained by emulation
Wheel yaw motion vibration acceleration root-mean-square valueEstablish the laterally suspension optimum damping ratio of two systems based on security
Optimization design object function Js, i.e.,：
(5) two systems laterally suspend Optimal damping ratio ξoOptimization design：
1. according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with
Orbital direction irregularity stochastic inputs yaFor input stimulus, asked in step (3) and established based on comfortableness using optimized algorithm
Two systems laterally suspend the optimization design object function J of optimum damping ratiocMinimum value, corresponding design variable be based on relax
The optimum damping ratio ξ of two system's transverse direction suspension systems of adaptiveoc；
2. according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with
Orbital direction irregularity stochastic inputs yaFor input stimulus, asked in step (4) and established based on security using optimized algorithm
Two systems laterally suspend the optimization design object function J of optimum damping ratiosMinimum value, corresponding design variable be based on peace
The optimum damping ratio ξ of two system's transverse direction suspension systems of full propertyos；
3. the optimum damping ratio ξ of the two system's transverse direction suspension systems based on comfortableness obtained according to optimizing in 1. stepoc, and
2. optimize the optimum damping ratio ξ of obtained two system's transverse direction suspension systems based on security in stepos, it is former using golden section
Reason, two systems laterally suspension Optimal damping ratio ξ is calculatedo, i.e.,：
ξo=ξoc+(1-0.618)(ξos-ξoc)。
The present invention has the advantage that than prior art：
Because rail vehicle belongs to Mdof Vibration System, it is carried out dynamic analysis calculate it is extremely difficult, at present
The design of damping ratio is laterally suspended for the system of high speed railway car two both at home and abroad, never provides the Theoretical Design side of system
Method, mostly it is empirically to choose certain damping ratio (usual experience damping ratio is 0.2~0.4), then, by computer skill
Art, using Dynamics Simulation soft sim PACK or ADAMS/Rail, optimize by solid modelling and determine its size,
Although this method can obtain reliable simulation numerical, make vehicle that there is preferable power performance, however, with railcar
The continuous improvement of travel speed, design of the people to the horizontal suspension damping ratio of two systems propose higher requirement, current two system
Laterally the method for suspension damping ratio design can not provide the innovation theory with directive significance, it is impossible to meet that rail vehicle constantly carries
To the development of absorber designing requirement in the case of speed.
The present invention travels the yaw vibration differential equation by establishing 1/2 car body, is emulated using MATLAB/Simulink soft
Part, the yaw vibration optimization design simulation model of two system's transverse direction suspension systems is constructed, and it is defeated at random with orbital direction irregularity
Enter for input stimulus, with the minimum design object of vibration acceleration root-mean-square value of car body weaving, optimization design obtains base
It is minimum with the vibration acceleration root-mean-square value of wheel yaw motion in the optimum damping ratio of two system's transverse direction suspension systems of comfortableness
For design object, optimization design obtains the optimum damping ratio of two system's transverse direction suspension systems based on security, and then is calculated
The Optimal damping ratio that two systems laterally suspend.By designing example and SIMPACK simulating, verifyings, this method, which can obtain, accurately may be used
The optimal damper ratio of the two system's transverse direction suspension systems leaned on, the design that damping ratio is laterally suspended for the system of high speed railway car two provide
Reliable design method.Using this method, the design level and product matter of high speed railway car suspension system can be not only improved
Amount, improve vehicle riding comfort and security；Meanwhile product design and testing expenses can be also reduced, shorten product design week
Phase, strengthen the competitiveness in the international market of China's rail vehicle.
Brief description of the drawings
It is described further below in conjunction with the accompanying drawings for a better understanding of the present invention.
Fig. 1 is the design flow diagram that the system of high speed railway car two laterally suspends Optimal damping ratio Optimization Design；
Fig. 2 is 1/2 car body traveling yaw vibration illustraton of model；
Fig. 3 is the yaw vibration optimization design simulation model of two system's transverse direction suspension systems of embodiment；
Fig. 4 is the German orbital direction irregularity random input stimuli y that embodiment is applieda。
Specific embodiment
The present invention is described in further detail below by an embodiment.
Two lateral dampers, i.e. n=2 are installed on every bogie of certain high speed railway car；Its 1/2 single-unit car body
Fully loaded quality m3=31983kg, the quality m of single bogie frame2=2758kg, the equivalent mass m taken turns couple1=3442kg,
Each wheel shaft weight W=150000N；The equivalent stiffness K to located lateral spring takes turns in one system1y=9784000N/m, central spring etc.
Imitate stiffness K2y=180000N/m；The half b=0.7465m of wheel and rail contact point horizontal spacing, wheel tread equivalent taper
λ=0.15, the horizontal creep coefficient f of wheel1=16990000N；The damping ratio that two system to be designed laterally suspends is ξ, wherein, two
It is the Equivalent damping coefficient of lateral damperLaterally suspension damping ratio is set for the system of high speed railway car two
The required Vehicle Speed v=300km/h of meter, the two systems transverse direction suspension damping ratio of the high speed railway car is set
Meter.
The system of high speed railway car two that present example is provided laterally suspends the Optimization Design of Optimal damping ratio, its
Design flow diagram is as shown in figure 1,1/2 car body travels yaw vibration illustraton of model as shown in Fig. 2 comprising the following steps that：
(1) the 1/2 car body traveling yaw vibration differential equation is established：
According to the fully loaded quality m of 1/2 single-unit car body of rail vehicle3=31983kg, the quality m of single bogie frame2
=2758kg, the equivalent mass m taken turns couple1=3442kg, each wheel shaft weight W=150000N；One system is taken turns to located lateral spring
Equivalent stiffness K1y=9784000N/m, the equivalent stiffness K of central spring2y=180000N/m；The resistance that two system to be designed laterally suspends
Buddhist nun than ξ, wherein, two be lateral damper installation number for 2, Equivalent damping coefficientWheel and steel
The half b=0.7465m of rail contact point horizontal spacing, wheel tread equivalent taper λ=0.15, the horizontal creep coefficient f of wheel1
=16990000N, Vehicle Speed v=300km/h；To take turns the yaw displacement y to barycenter1, the horizontal stroke of bogie frame barycenter
Put displacement y2, the yaw displacement y of car body barycenter3For coordinate；With orbital direction irregularity stochastic inputs yaFor input stimulus；Establish
1/2 car body travels the yaw vibration differential equation, i.e.,：
Wherein,
(2) the yaw vibration optimization design simulation model of two system's transverse direction suspension systems is built：
The yaw vibration differential equation is travelled according to 1/2 car body established in step (1), utilizes Matlab/Simulink
Simulation software, the yaw vibration optimization design simulation model of two system's transverse direction suspension systems is built, as shown in Figure 3；
(3) the optimization design object function J that two systems based on comfortableness laterally suspend optimum damping ratio is establishedc：
According to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with two
Laterally suspension damping ratio is design variable for system, using orbital direction irregularity stochastic inputs as input stimulus, obtained by emulation
Car body weaving vibration acceleration root-mean-square valueEstablish the laterally suspension optimum damping ratio of two systems based on comfortableness
Optimization design object function Jc, i.e.,：
(4) the optimization design object function J that two systems based on security laterally suspend optimum damping ratio is establisheds：
According to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with two
Laterally suspension damping ratio is design variable for system, using orbital direction irregularity stochastic inputs as input stimulus, obtained by emulation
Wheel yaw motion vibration acceleration root-mean-square valueEstablish the laterally suspension optimum damping ratio of two systems based on security
Optimization design object function Js, i.e.,：
(5) two systems laterally suspend Optimal damping ratio ξoOptimization design：
1. according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with
Orbital direction irregularity stochastic inputs yaFor input stimulus, asked in step (3) and established based on comfortableness using optimized algorithm
Two systems laterally suspend the optimization design object function J of optimum damping ratiocMinimum value, optimization design obtains two based on comfortableness
It is the optimum damping ratio ξ of horizontal suspension systemoc=0.24769；
Wherein, during Vehicle Speed v=300km/h, the German orbital direction irregularity random input stimuli that is applied
ya, as shown in Figure 4；
2. according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with
Orbital direction irregularity stochastic inputs yaFor input stimulus, asked in step (4) and established based on security using optimized algorithm
Two systems laterally suspend the optimization design object function J of optimum damping ratiosMinimum value, optimization design obtains two based on security
It is the optimum damping ratio ξ of horizontal suspension systemos=0.4897；
Wherein, during Vehicle Speed v=300km/h, the German orbital direction irregularity random input stimuli that is applied
ya, as shown in Figure 4；
3. the optimum damping ratio ξ of the two system's transverse direction suspension systems based on comfortableness obtained according to optimizing in 1. stepoc=
0.24769, and 2. optimize the optimum damping ratio ξ of obtained two system's transverse direction suspension systems based on security in stepos=
0.4897, using golden section principle, two systems laterally suspension Optimal damping ratio ξ is calculatedo, i.e.,：
ξo=ξoc+(1-0.618)(ξos-ξoc)=0.3401.
The vehicle parameter provided according to embodiment, using rail vehicle special-purpose software SIMPACK, imitated by solid modelling
True checking can obtain, the Optimal damping ratio ξ of the system's transverse direction suspension system of high speed railway car twoo=0.3420；Understand, utilize optimization
The Optimal damping ratio ξ of two system's transverse direction suspension systems obtained by design methodo=0.3401, obtained by SIMPACK simulating, verifyings
The Optimal damping ratio ξ arrivedo=0.3420 matches, and both deviations are only 0.0019, and relative deviation is only 0.56%, shows to be built
The Optimization Design that the vertical system of high speed railway car two laterally suspends Optimal damping ratio is correct.
Claims (1)
1. the system of high speed railway car two laterally suspends the Optimization Design of Optimal damping ratio, its specific design step is as follows：
(1) the 1/2 car body traveling yaw vibration differential equation is established：
According to the fully loaded quality m of 1/2 single-unit car body of rail vehicle3, the quality m of single bogie frame2, the equivalent matter taken turns pair
Measure m1, each wheel shaft weight W；The equivalent stiffness K to located lateral spring takes turns in one system1y, the equivalent stiffness K of central spring2y；To be designed two
Be the damping ratio ξ that laterally suspends, wherein, two be lateral damper installation number be n, Equivalent damping coefficientThe half b of wheel and rail contact point horizontal spacing, wheel tread equivalent taper λ, the transverse direction of wheel
Creep coefficient f1, Vehicle Speed v；To take turns the yaw displacement y to barycenter1, the yaw displacement y of bogie frame barycenter2, car
The yaw displacement y of the constitution heart3For coordinate；With orbital direction irregularity stochastic inputs yaFor input stimulus；Establish 1/2 car body traveling
The yaw vibration differential equation, i.e.,：
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Wherein,
(2) the yaw vibration optimization design simulation model of two system's transverse direction suspension systems is built：
The yaw vibration differential equation is travelled according to 1/2 car body established in step (1), emulated using Matlab/Simulink
Software, build the yaw vibration optimization design simulation model of two system's transverse direction suspension systems；
(3) the optimization design object function J that two systems based on comfortableness laterally suspend optimum damping ratio is establishedc：
It is horizontal with two systems according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2)
It is design variable to suspension damping ratio, using orbital direction irregularity stochastic inputs as input stimulus, utilizes the car obtained by emulation
The vibration acceleration root-mean-square value of body weavingEstablish two systems based on comfortableness and laterally suspend the excellent of optimum damping ratio
Change design object function Jc, i.e.,：
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(4) the optimization design object function J that two systems based on security laterally suspend optimum damping ratio is establisheds：
It is horizontal with two systems according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2)
It is design variable to suspension damping ratio, using orbital direction irregularity stochastic inputs as input stimulus, utilizes the car obtained by emulation
Take turns the vibration acceleration root-mean-square value of weavingEstablish two systems based on security and laterally suspend the excellent of optimum damping ratio
Change design object function Js, i.e.,：
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(5) two systems laterally suspend Optimal damping ratio ξoOptimization design：
1. according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with track
Direction irregularity stochastic inputs yaFor input stimulus, asked using optimized algorithm in step (3) and establish two systems based on comfortableness
The laterally optimization design object function J of suspension optimum damping ratiocMinimum value, corresponding design variable be based on comfortableness
Two system's transverse direction suspension systems optimum damping ratio ξoc；
2. according to the yaw vibration optimization design simulation model for the two system's transverse direction suspension systems established in step (2), with track
Direction irregularity stochastic inputs yaFor input stimulus, asked using optimized algorithm in step (4) and establish two systems based on security
The laterally optimization design object function J of suspension optimum damping ratiosMinimum value, corresponding design variable be based on security
Two system's transverse direction suspension systems optimum damping ratio ξos；
3. the optimum damping ratio ξ of the two system's transverse direction suspension systems based on comfortableness obtained according to optimizing in 1. stepoc, and 2. walk
The optimum damping ratio ξ for two system's transverse direction suspension systems based on security that optimization obtains in rapidos, utilize golden section principle, meter
Calculation obtains two systems laterally suspension Optimal damping ratio ξo, i.e.,：
ξo=ξoc+(1-0.618)(ξos-ξoc)。
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