Embodiment
Fig. 1 is eight point type circular arrangement electrical equipment shock-dampening method flow charts provided by the invention.Method as shown in Figure 1 comprises:
Step 11: acquisition parameter, the parameter of collection comprises: the attenuation ratio of circular radius, seismic fortification intensity and seismic acceleration reaction that default vibration damper quantity n and n=8,8 vibration damper circles are arranged symmetrically; The quality of the electrical equipment that obtains, length, height of C.G., Young's modulus and moment of inertia, and the earthquake effect coefficient corresponding with described seismic fortification intensity that obtains, with electrical equipment the design earthquake grouping on ground and site category corresponding place eigenperiod is installed.
Step 12: determine vibration damper parameter limit condition according to the parameter of gathering; Described vibration damper parameter limit condition comprises: yield force minimum value, initial stiffness allowed band, surrender back rigidity allowed band and damping constant allowed band.
Step 13: for described electrical equipment is selected adaptive vibration damper; The yield force of described adaptive vibration damper is more than or equal to described yield force minimum value, and initial stiffness falls into described initial stiffness allowed band, surrender back rigidity falls into the back rigidity allowed band of described surrender and damping constant falls into described damping constant allowed band.
Step 14: the root at described electrical equipment is installed 8 described adaptive vibration dampers; 8 described adaptive vibration dampers rounded layout symmetrically centered by described electrical equipment, the radius of described circle is default described 8 circular radius that the vibration damper circle is arranged symmetrically.
On the basis of technique scheme, optional, can adopt following formula to calculate described yield force minimum value:
Wherein, f represents the yield force minimum value, m represents the quality of described electrical equipment, H represents the height of C.G. of described electrical equipment, r represents 8 circular radius that the vibration damper circle is arranged symmetrically presetting, α represents the earthquake effect coefficient corresponding with presetting seismic fortification intensity, and g represents gravity accleration.
Optionally, described initial stiffness allowed band is: 15k≤k
0≤ 20k, the rigidity allowed band is after the described surrender:
Wherein, k
0The initial stiffness of representing adaptive vibration damper, k
tRepresent rigidity after the surrender of adaptive vibration damper, k represents the stiffness coefficient of described electrical equipment.
Optionally, can adopt following formula to calculate the stiffness coefficient of described electrical equipment:
Wherein, k represents the stiffness coefficient of described electrical equipment, and E represents the Young's modulus of described electrical equipment, and I represents the moment of inertia of described electrical equipment, and L represents the length of described electrical equipment.
Optionally, if the shape of cross section of described electrical equipment is circular, then adopt following formula to calculate the moment of inertia of described electrical equipment:
Wherein, I represents the moment of inertia of described electrical equipment, and D represents the external diameter of described electrical equipment circular cross section.
Optionally, if the shape of cross section of described electrical equipment is ring, then adopt following formula to calculate the moment of inertia of described electrical equipment:
Wherein, I represents the moment of inertia of described electrical equipment, and D represents the external diameter of described electrical equipment circular cylindrical cross-section, and d represents the internal diameter of described electrical equipment circular cylindrical cross-section.
Optionally, described damping constant allowed band is: 3c '≤c
0≤ 6c '; Wherein, c
0The damping constant of representing adaptive vibration damper, the single vibration damper damping constant of c ' expression average.
Can adopt following formula to calculate described single vibration damper damping constant average:
Wherein, the described single vibration damper damping constant of c ' expression, m
0Represent described electrical equipment equivalent mass and
M represents the quality of described electrical equipment, ω represent described electrical equipment natural frequency and
K represents the stiffness coefficient of described electrical equipment, and ζ represents damping ratio, and described damping ratio is reacted attenuation ratio R with default seismic acceleration
aBetween satisfy following relation:
Wherein, ω
nThe expression earthquake motion frequency and
T
gThe place eigenperiod that the design earthquake grouping on expression and the installation of described electrical equipment ground and site category are corresponding.
The electrical equipment shock-dampening method that present embodiment provides, with certain electric devices as property parameters such as quality, length, with electrical equipment install ground relevant as seismic fortification intensity, place parameter eigenperiod, and expect that as the reactions such as attenuation ratio of seismic acceleration reaction the parameter of damping effect takes into consideration, satisfy the vibration damper parameter limit condition of expection damping effect for the design of electrical equipment specific aim, select the vibration damper adaptive with this electrical equipment according to vibration damper parameter limit condition, and at this electrical equipment root described adaptive vibration damper is installed.Owing to the vibration damper of selecting for this electrical equipment; can assist the reaction of decay electrical equipment under geological process; the damping effect of its damping performance parameters and the expection of this electrical equipment adapts; therefore; the present invention reaches the expection damping effect at lower cost; improve the anti-seismic performance of electrical equipment, thereby effectively protected electrical equipment.
Below in conjunction with Fig. 2 vibration damper parameter limit condition determination method of the present invention and theoretical foundation are described.As shown in Figure 2, vibration damper parameter limit condition comprises:
Step 21: the required relevant parameter of vibration damper parameter limit condition, execution in step 22,23 and 25 are determined in input.
The required relevant parameter of described definite vibration damper parameter limit condition comprises: default vibration damper quantity n and n=8, circular radius r that 8 default vibration damper circles are arranged symmetrically, default seismic fortification intensity and the attenuation ratio R of seismic acceleration reaction
aThe quality m of the electrical equipment that obtains, length L, height of C.G. H, elastic modulus E and moment of inertia I, and the earthquake effect factor alpha of obtaining corresponding with described seismic fortification intensity, with electrical equipment corresponding place T eigenperiod of the design earthquake grouping on ground and site category is installed
g
Step 22: estimate the yield force minimum value of adaptive vibration damper, execution in step 210.
Utilize the static(al) estimation algorithm to calculate the moment of flexure of electrical equipment root under geological process.For example: seismic force is reduced to a single force that acts on the electrical equipment center of gravity, calculates seismic force as adopting formula (1):
Wherein, F represents seismic force, and m represents the quality of electrical equipment, and β represents dynamic magnification factor,
Represent the design basic earthquake accekeration corresponding with default seismic fortification intensity.
In above-mentioned each parameter, in the factors such as grade of the earthquake of setting up defences according to the regional needs of electrical equipment installation, after the seismic fortification intensity of default this electrical equipment, corresponding with default seismic fortification intensity
Can be according to " Code for seismic design of buildings " (GB50011-2010) the regulation value of 3.2.2 bar; β can adopt
formula 2 to calculate:
In the following formula (2), g represents gravity accleration, α represents the seismic acceleration corresponding with described default seismic fortification intensity, and the α corresponding with default seismic fortification intensity can be according to " Code for seismic design of buildings " (GB50011-2010) the regulation value of 3.10.3 bar.Seismic fortification intensity,
And the corresponding relation between the α can be as shown in table 1:
Table 1
Convolution (1) and formula (2) can get formula (3):
Employing formula (3) can be calculated the seismic force of electrical equipment under the geological process of setting up defences, and wherein, m represents the quality of electrical equipment, and g represents gravity accleration, and α represents the earthquake effect coefficient corresponding with presetting seismic fortification intensity.
Then, employing formula (4) is calculated the root moment of flexure of electrical equipment:
Wherein, H represents the center of gravity of electrical equipment and the distance between the root.
Afterwards, employing formula (5a) is calculated the required power of root bending moment that is used for this electrical equipment of opposing that each vibration damper need provide.
Wherein, n is illustrated in the quantity of the vibration damper that this electrical equipment root installs, and r represents 8 circular radius that the vibration damper circle is arranged symmetrically presetting.Optionally, can choose the bolt hole in the flange plate that is arranged on the electrical equipment root, as Mounting Location of Dampener, the span of r can be 1.0~2.0 times of the maximum gamp external diameter of this electrical equipment.
N=8 among the present invention, then following formula (5a) can be expressed as:
The f that employing formula (6) calculates is the yield force minimum value with the adaptive vibration damper of electrical equipment.
Step 23: the stiffness coefficient of estimation electrical equipment, execution in step 24 and 26.
Electrical equipment can be reduced to single-degree-of-freedom system, can put the system mechanical model based on simple substance and estimate k.
The mechanical model that electrical equipment is reduced to simple substance point system as shown in Figure 3.In the mechanical model of simple substance point system, the quality of electrical equipment can be reduced to the particle that concentrates on the electrical equipment top, then the quality of electrical equipment is in the simple substance point model:
Wherein, E represents the Young's modulus of electrical equipment material therefor; I represents the moment of inertia of electrical equipment, and the moment of inertia of electrical equipment can be tried to achieve according to the sectional dimension of electrical equipment; L represents the length of electrical equipment.
The electrical equipment that might as well be circle or ring with the shape of cross section is example, and the computational methods of moment of inertia are described.
If the shape of cross section of electrical equipment is circular, then the moment of inertia of electrical equipment adopts following formula to calculate:
In the following formula, I represents the moment of inertia of electrical equipment, and D represents the external diameter of electrical equipment circular cross section.
If the shape of cross section of electrical equipment is ring, then the moment of inertia of electrical equipment adopts following formula to calculate:
In the following formula, I represents the moment of inertia of electrical equipment, and d and D represent internal diameter and the external diameter of electrical equipment annulus cross section respectively.
Step 24: initial stiffness allowed band and the surrender back rigidity allowed band of determining adaptive vibration damper; Execution in step 210.
Preferably, described initial stiffness allowed band is: 15k≤k
0≤ 20k, the rigidity allowed band is after the described surrender:
Step 25: the equivalent mass of estimation electrical equipment, execution in step 26.
The quality of electrical equipment adopts equivalent mass to represent that wherein the relation between the equivalent mass of electrical equipment and the electrical equipment quality satisfies following formula in the simple substance point model:
Step 26: according to the equivalent mass of stiffness coefficient and the electrical equipment of electrical equipment, the natural frequency of estimation electrical equipment.
Adopt following formula to estimate the natural frequency of this electrical equipment:
Step 27: the damping ratio of determining the shock absorption system formed by 8 vibration dampers.
Electrical equipment is reduced to single-degree-of-freedom system, and then the kinetic equations of typical structure is under the geological process:
Wherein, m
0The equivalent mass of expression electrical equipment; x
s,
Represent electrical equipment Horizontal displacement, speed, acceleration with respect to ground under geological process respectively;
Represent the design basic seismic acceleration corresponding with default seismic fortification intensity; C represents the total damping coefficient of the shock absorption system be made up of 8 vibration dampers, and k represents the stiffness coefficient of electrical equipment.
Order is expressed as by the dampingratio of the shock absorption system that 8 vibration dampers are formed:
The attenuation ratio R of seismic acceleration reaction then
aBe expressed as follows:
Wherein: R
aExpression seismic acceleration attenuation ratio, its value is corresponding with the expection damping effect; ω
nThe expression earthquake motion frequency and
T
gBe place eigenperiod, place basis eigenperiod " Code for seismic design of buildings " is the regulation value of 5.1.4 bar (GB50011-2010), and design earthquake grouping and site category and the place corresponding relation between eigenperiod on electrical equipment installation ground are as shown in table 2.
Table 2
Electrical equipment of the present invention is installed the design earthquake grouping on ground, can check in according to " Code for seismic design of buildings " appendix A (that is: the main cities and towns of China seismic fortification intensity, the basic seismic acceleration of design and design earthquake grouping) in (GB50011-2010); After determining that electrical equipment is installed the design earthquake grouping on ground, can the place eigenperiod T corresponding with the site category on electrical equipment installation ground by question blank 2
g
For ease of user's inquiry, improve the convenience that the user uses, can draw R according to formula (14)
aWith
The corresponding relation curve, as shown in Figure 4; At default R
aWith definite
Afterwards, calculate by
query graph 4 or employing formula (14), can obtain R
a,
The dampingratio of answering.
Step 28: single vibration damper damping constant of estimating the shock absorption system of being formed by 8 vibration dampers.
Can be got by formula (13):
c=2ωm
0·ζ=(n-2)c′ (15)
Wherein, c represents the total damping coefficient of the shock absorption system be made up of 8 vibration dampers, single damping damping constant of the shock absorption system that c ' expression is made up of 8 vibration dampers, and n represents quantity and the n=8 of vibration damper.
Can be got by formula (15):
Step 29: the damping constant allowed band of determining adaptive vibration damper; Execution in step 210.
Preferably, described damping constant allowed band is: 3c '≤c
0≤ 6c ';
Wherein, c
0Single vibration damper damping constant of the shock absorption system that the damping constant of representing adaptive vibration damper, c ' expression are made up of 8 vibration dampers.
Step 210: output vibration damper parameter limit condition, described vibration damper parameter limit condition comprises: yield force minimum value, initial stiffness allowed band, surrender back rigidity allowed band and damping constant allowed band.
After obtaining described vibration damper parameter limit condition, can be according to described vibration damper parameter limit condition, for this electrical equipment is selected adaptive vibration damper.That selects need satisfy with the adaptive vibration damper of this electrical equipment: the yield force of vibration damper falls into the damping constant that rigidity after the surrender of described initial stiffness allowed band, vibration damper falls into described surrender back rigidity allowed band, vibration damper and falls into described damping constant allowed band greater than the initial stiffness of yield force minimum value, vibration damper.
Fig. 5 is the structural representation of shock mitigation system provided by the invention.Shock mitigation system as shown in Figure 5 comprises: electrical equipment 51 and 8 vibration dampers 52 that are installed in electrical equipment 51 roots, wherein, vibration damper 52 adopts method as shown in Figure 2 to determine.8 described vibration dampers rounded layout symmetrically centered by described electrical equipment.
Optionally, shock mitigation system also comprises: upper junction plate 53, lower connecting plate 54 and cushion block 55.Upper junction plate 53 is connected with the root of described electrical equipment.Lower connecting plate 54 and described upper junction plate 53 corresponding settings; And described upper junction plate and described lower connecting plate correspondence offer 8 bolts hole 56, respectively as shown in Figure 6 and Figure 7.Cushion block 55 is arranged between described upper junction plate and the described lower connecting plate.Vibration damper 52 can be specially the bolt type vibration damper, and 8 bolt type vibration damper correspondences are passed respective bolt holes, to connect upper junction plate 53 and lower connecting plate 54.
Optionally, bolt hole is apart from the distance at upper junction plate edge, and bolt hole can (GB50017-2003) comprehensively be determined according to electrical equipment installation requirement and " Code for design of steel structures " apart from the distance to the lower connecting plate edge.Connecting plate should have bigger rigidity.In a kind of optional implementation, the thickness of upper junction plate and lower connecting plate is desirable 25mm all; Cushion block diameter and height are respectively 70mm and 10mm.
Zinc-Oxide Arrester is the electrical equipment of using always.Might as well be example with certain Zinc-Oxide Arrester below, be illustrated as the instantiation that this electrical equipment is determined vibration damper parameter limit condition and range; For this electrical equipment is determined the required parameter of vibration damper parameter limit condition, as shown in table 3:
Table 3
(1) employing formula (6) vibration damper yield force minimum value:
(2) employing formula (7) is calculated the stiffness coefficient of electrical equipment
According to the stiffness coefficient of electrical equipment, determine initial stiffness allowed band and the surrender back rigidity allowed band of vibration damper:
The initial stiffness allowed band of vibration damper satisfies: 15k≤k
0≤ 20k, i.e. 3353391 (N/m)≤k
0≤ 4471189 (N/m);
The rigidity allowed band satisfies after the surrender of vibration damper:
(3) employing formula (10) is calculated the equivalent mass of electrical equipment:
Employing formula (11) is calculated the natural frequency of electrical equipment:
By query graph 4 or employing formula (14), can calculate dampingratio=0.35
Employing formula (16) is calculated single vibration damper damping constant of the shock absorption system of being made up of 8 vibration dampers:
Determine the damping constant allowed band of vibration damper: 3c '≤c
0≤ 6c ', i.e. 1241.1≤c
0≤ 2482.2.
(4) vibration damper of vibration damper parameter limit condition is satisfied in selection.
Rigidity, surrender back rigidity and damping constant are respectively 6000N, 4200000N/m, 120000N/m and 2000N (S/m) before the yield force of the SGDP-JQ-A3 type vibration damper of China Electric Power Research Institute's research and development, the surrender, satisfy above-mentioned vibration damper parameter limit condition, can carry out supporting installation with this Zinc-Oxide Arrester.
(5) adopt structure shown in Figure 5, symmetry is installed 8 SGDP-JQ-A3 type vibration dampers at Zinc-Oxide Arrester root center, afterwards Zinc-Oxide Arrester is carried out the damping effect analysis.
Can select in the world general large commercial finite element analysis software ANSYS for use, set up first numerical model and the Zinc-Oxide Arrester root of Zinc-Oxide Arrester respectively the second value model of the shock mitigation system of 8 SGDP-JQ-A3 type vibration dampers compositions is installed, be that 9 degree are set up defences and place eigenperiod is the damping requirement of 0.65s according to the seismic fortification intensity shown in the table 3, respectively these two numerical models carried out the seismic acceleration time-history analysis.Analysis result shows, the maximum acceleration of first numerical model and second value model
Be respectively 2.4g and 0.498g, the seismic acceleration reaction attenuation ratio R of shock mitigation system under geological process
aBe 1.245, approach default attenuation ratio 1.2.Above analysis result explanation: the SGDP-JQ-A3 type vibration damper that adopts method provided by the invention to choose for this Zinc-Oxide Arrester, can reach predefined damping effect, guarantee that the lightning arrester structure has good working performance under the high-intensity earthquake effect.
One of ordinary skill in the art will appreciate that: all or part of step that realizes above-mentioned each method embodiment can be finished by the relevant hardware of programming instruction.Aforesaid program can be stored in the computer read/write memory medium.This program is carried out the step that comprises above-mentioned each method embodiment when carrying out; And aforesaid storage medium comprises: various media that can be program code stored such as ROM, RAM, magnetic disc or CD.
It should be noted that at last: above each embodiment is not intended to limit only in order to technological scheme of the present invention to be described; Although with reference to aforementioned each embodiment the present invention is had been described in detail, those of ordinary skill in the art is to be understood that: it still can be made amendment to the technological scheme that aforementioned each embodiment puts down in writing, and perhaps some or all of technical characteristics wherein is equal to replacement; And these modifications or replacement do not make the essence of appropriate technical solution break away from the scope of various embodiments of the present invention technological scheme.