CN105404716B - A kind of reversed toggle joint type viscous damper geometric Parameters Optimization method - Google Patents
A kind of reversed toggle joint type viscous damper geometric Parameters Optimization method Download PDFInfo
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Abstract
The present invention relates to a kind of reversed toggle joint type viscous damper geometric Parameters Optimization methods, include the following steps：(1) determine reversed toggle joint type viscous damper can position；(2) support can be arranged at position in reversed toggle joint type viscous damper；(3) coordinate information of all two nodes that can be supported at position is extracted；(4) control variate method is used to analyze the reversed toggle joint type viscous damper that each can be at position；(5) according to the mathematical model of reversed toggle joint type viscous damper geometric parameter, optimal geometric parameter is screened.Compared with prior art, the parameter after present invention optimization may be directly applied in actual engineering, and quantitatively consider construction error to the influence of the least favorable of design.
Description
Technical field
The present invention relates to a kind of viscous damper parameter optimization methods, more particularly, to a kind of reversed toggle joint type viscous damping
Device geometric Parameters Optimization method.
Background technology
With being continuously increased for high-rise building height, structure entirety anti-side rigidity is relatively small, and structural flexibility is big, this makes
The excellent frequency of the intrinsic frequency and high wind that obtain high-level structure becomes closer to, and causes the wind sensibility of structure also increasingly stronger.
High-rise building is generally slender type building, and after height superelevation certain altitude, the crosswind response of structure is notable, the wind of structure
Comfort level of shaking problem can become than more prominent.
In order to improve the comfort level performance of structure, usually there are three types of methods：First, increasing the section of structure anti-side component, lead to
It crosses and improves the overall stiffness of structure to achieve the purpose that reduce wind-induced vibration.But this method is clearly uneconomic, and
The geological process of structure is will increase, it is unfavorable to antidetonation.Second is that reducing wind-induced vibration using TMD, TMD is the original based on resonance
Reason consumes the wind load energy of input by the resonance of minor structure and agent structure.But TMD is there is also to frequency sensitive,
The shortcomings of cost is higher, and occupied space is big.Third, reducing wind-induced vibration using viscous damper, viscous damper is a kind of nothing
Rigidity, velocity-dependent damper, under wind and seismic loading, viscous fluid is by damping hole or damping clearance and carries
The flowing to the other side of certain speed and generate damping force, to the energy for the input structure that dissipates.Viscous damper is under small deformation
Just enter energy consumption state, there is stronger energy dissipation capacity, and can wind resistance but also antidetonation, economy is better than first two side
Case.
Although viscous damper can consume energy under smaller deformation, under 10 years one to the wind load, the layer of structure
Between deform very little.Under so small deformation, using traditional diagonal connection type, viscous damper is less efficient, even
It is difficult to play a role.Therefore need to wind load bottombearing damper both ends relative velocity and opposite change be amplified using displacement amplification device
Shape, to improve the energy efficiency of viscous damper.The present invention proposes a kind of for reversed toggle joint type viscous damper geometry
Parameter optimization method establishes the mathematical model of reversed toggle joint type viscous damper geometric Parameters Optimization, passes through control variate method
Optimize the geometric parameter of reversed toggle joint type viscous damper, and proposes reversed toggle joint type viscous damper construction error to damping
The analysis method that the additional damping ratio that device provides influences.
Invention content
It is viscous that it is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of reversed toggle joint types
Stagnant damper geometric Parameters Optimization method establishes the mathematical model of reversed toggle joint type viscous damper geometric Parameters Optimization, leads to
It crosses control variate method and optimizes the geometric parameter of reversed toggle joint type viscous damper, and propose reversed toggle joint type viscous damper
Construction error analysis method.
The purpose of the present invention can be achieved through the following technical solutions：A kind of reversed toggle joint type viscous damper geometric parameters
Number optimization method, includes the following steps：
(1) according to building and owner require to determine reversed toggle joint type viscous damper can position；
(2) support can be arranged at position in reversed toggle joint type viscous damper；
(3) coordinate information of all two nodes that can be supported at position is extracted；
(4) control variate method is used to analyze the reversed toggle joint type viscous damper that each can be at position；
(5) according to the mathematical model of reversed toggle joint type viscous damper geometric parameter, optimal geometric parameter is screened.It is described
The step of (2) be specially：
(201) whether check reversed toggle joint type viscous damper can have support at position, if it is, executing step
Suddenly (202)；If not, thening follow the steps (203)；
(202) check whether the arrangement of support is identical as the arrangement of reversed toggle joint type viscous damper, if
It is to then follow the steps (3)；If not, thening follow the steps (203)；
(203) reversed toggle joint type viscous damper can at position piece attribute of arrangement be ' the support of None'.
The step (4) is specially：Using control variate method to each can be at position reversed toggle joint type it is viscous
Stagnant damper is analyzed, and the geometric parameter θ when reversed toggle joint type viscous damper is calculated1When variation, reversed toggle joint type is viscous
The corresponding geometric parameter θ of damper2And θ3, the length l of two supports1、l2With the length l of damper rod3, horizontal displacement amplification coefficient
fhWith vertical displacement amplification coefficient fv。
The step (5) is specially：Screening meets the mathematical model of reversed toggle joint type viscous damper geometric parameter simultaneously
So that the horizontal displacement amplification coefficient f of reversed toggle joint type viscous damperhObtain geometric parameter θ when maximum value1, which is
For the optimal geometric parameter of reversed toggle joint type viscous damper.
The mathematical model is as follows：
max fh(θ1) (4a)
s.t.:30°≤θ1=θ3≤80° (4b)
max(θ2min,30°)≤θ2≤80° (4c)
fh(θ1)-fh(θ1+ 0.3) ＜ 0.2 (4g)
fh≤4 (4h)
Wherein, θ1For the angle of reversed toggle joint type viscous damper supporting rod one and trunnion axis, θ2It is viscous for reversed toggle joint type
The angle of damper supporting rod two and vertical axes, θ3For the angle of reversed toggle joint type viscous damper damper rod and vertical axes, l1Point
Not Wei reversed toggle joint type viscous damper supporting rod one length, l2For the length of reversed toggle joint type viscous damper supporting rod two
Degree, l3For the length of reversed toggle joint type viscous damper damper rod, px, py, pz are respectively reversed toggle joint type viscous damper area
Two angle point of lattice diagonal line is along the difference of the coordinate of X, Y, Z axis, fhFor the horizontal displacement amplification coefficient of reversed toggle joint type viscous damper,
θ2minThe θ for the minimum of requirement that punches for consideration door and window2Angle.
Above-mentioned parameter can be calculated according to the following formula：
When reversed toggle joint type viscous damper is arranged along X-axis：
When reversed toggle joint type viscous damper is arranged along Y-axis：
θ3=θ1 (7)
l1=pz sin θs1 (8)
l3=pz cos θ1 (10)
In formula, b is door and window width；H is door and window height.
The mathematical model Chinese style (4a) is object function, and the target of optimization is the water so that reversed toggle joint type viscous damper
Prosposition moves amplification coefficient fhObtain maximum value.Optimized variable is reversed toggle joint type damper supporting rod one and trunnion axis angle theta1.Formula
(4b-4h) is the constraints of reversed toggle joint type viscous damper geometric Parameters Optimization.Wherein formula (4b-4c) defines three angles
Spend θ1、θ2And θ3Value range；Formula (4d-4f) defines three rod length l1、l2And l3Value range；Formula (4g) provides
Work as angle, θ1The value range of horizontal displacement amplification coefficient knots modification when changing 0.3 °；Formula (4h) defines horizontal displacement amplification
The value range of coefficient.
The geometric parameter considers θ for analyzing the construction error of reversed toggle joint type viscous damper1With
θ2± 0.3 ° of construction error.
The construction error analysis method is as follows：
(a) position and quantity of reversed toggle joint type viscous damper are determined；
(b) according to geometric parameter θ1And θ2, calculateWithThis four
The horizontal displacement amplification coefficient f of reversed toggle joint type viscous damper under kind operating modeh；
(c) f in step (b)hFor minimum value when operating mode be the most unfavorable processing condition, respectively press the most unfavorable processing condition under geometric parameters
Number and optimal geometric parameter model reversed toggle joint type viscous damper, and carry out Nonlinear time-history analysis；
(d) the viscous resistance of reversed toggle joint type in the case of geometric parameter and the optimal geometric parameter under the most unfavorable processing condition is acquired respectively
Buddhist nun's device provide additional damping ratio, you can quantitatively find out reversed toggle joint type viscous damper construction error damper is provided it is attached
Add the influence of damping ratio.
F in the step (b)hSpecific calculating process it is as follows：
1. when reversed toggle joint type viscous damper is arranged along X-axis,
2. when reversed toggle joint type viscous damper is arranged along Y-axis,
Compared with prior art, the present invention has the following advantages：
(1) present applicant proposes a kind of reversed toggle joint type viscous damper geometric Parameters Optimization method, reversed elbow is established
The mathematical model of section formula viscous damper geometric Parameters Optimization can obtain reversed toggle joint type viscous damping by control variate method
The optimal geometric parameter of device, the parameter may be directly applied in actual engineering；
(2) actual construction is wanted when the optimal geometric parameter that the application obtains meets reversed toggle joint type viscous damper arrangement
It asks, and the displacement equations coefficient that can guarantee reversed toggle joint type viscous damper has given full play to reversed toggle joint type between 3-4
Displacement equations act on；
(3) present applicant proposes the additional damping ratio shadows that reversed toggle joint type viscous damper construction error provides damper
Loud analysis method can quantify and consider that construction error influences the least favorable of design.
Description of the drawings
Fig. 1 is the schematic diagram of the reversed toggle joint type viscous damper of the application；
Fig. 2 is the reversed toggle joint type viscous damper geometric Parameters Optimization flow chart of the application；
Fig. 3 is that 22 and 43 enhancement layer viscous dampers can position figure in the embodiment of the present application；
Fig. 4 is that 59A enhancement layers viscous damper can position figure in the embodiment of the present application；
Fig. 5 be the embodiment of the present application in can cloth position ' None' support schematic diagram；
Fig. 6 is horizontal displacement amplification coefficient in the embodiment of the present application with the changing rule figure of geometric parameter；
Fig. 7 is vertical displacement amplification coefficient in the embodiment of the present application with the changing rule figure of geometric parameter；
Fig. 8 is 22 layers of reversed toggle joint type viscous damper position schematic diagram in the embodiment of the present application；
Fig. 9 is 59A layers of reversed toggle joint type viscous damper position schematic diagram in the embodiment of the present application.
Specific implementation mode
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.
It is the schematic diagram of reversed toggle joint type viscous damper as shown in Figure 1.Reversed toggle joint type viscous damper has 3 angles
Variable θ1、θ2、θ3With 3 length variable l1、l2、l3After if any two of which variable determines, the reversed viscous resistance of toggle joint type
Other four variables of Buddhist nun's device can be uniquely determined by geometrical condition.Reversed toggle formula device is a kind of displacement amplification device,
Its horizontal displacement amplification coefficient fh, vertical displacement amplification coefficient fvWith the axial deformation u of damperDIt can be represented by the formula：
uD=fh·u-fv·v (3)
In formula, the horizontal relative deformation and vertical relative deformation of u and v for Fig. 1 interior joints b and node d.
From formula (1) and formula (2) as can be seen that working as θ1=θ3When, i.e. l1⊥l3, it is identical in other conditions, it is horizontal
Displacement equations coefficient fhWith vertical displacement amplification coefficient fvMolecule obtain maximum value.Therefore it is the position for making reversed toggle formula device
It moves amplification to maximize, θ should be made1=θ3.Toggle formula device reversed in this way only has an independent variable θ1Once θ1It determines, it is other
Variable can determine.In addition, being easy to find, work as θ1+θ2At=90 °, displacement equations coefficient obtains infinitely large quantity, means at this time
Reversed toggle formula device becomes a constant variable system, and reversed any small deformation of toggle joint type viscous damper all can be unlimited
Amplify and reversed toggle joint type viscous damper is made to destroy.Actual reversed toggle formula device should work as supporting rod and damping
When small variation occurs for bar angle, amplification coefficient will not be caused to generate larger variation.Therefore, in order to avoid displacement equations system
Number obtains excessive value, it is proposed that working as θ1When 0.3 ° of variation, the variable quantity of horizontal displacement amplification coefficient should be less than 0.2, and
Horizontal displacement amplification coefficient is not to be exceeded 4.
A kind of reversed toggle joint type viscous damper geometric Parameters Optimization method, includes the following steps (as shown in Figure 2)：
(1) according to building and owner require to determine reversed toggle joint type viscous damper can position；
(2) support can be arranged at position in reversed toggle joint type viscous damper；
(3) coordinate information of all two nodes that can be supported at position is extracted；
(4) control variate method is used to analyze the reversed toggle joint type viscous damper that each can be at position；
(5) according to the mathematical model of reversed toggle joint type viscous damper geometric parameter, optimal geometric parameter is screened.It is described
The step of (2) be specially：
(201) whether check reversed toggle joint type viscous damper can have support at position, if it is, executing step
Suddenly (202)；If not, thening follow the steps (203)；
(202) check whether the arrangement of support is identical as the arrangement of reversed toggle joint type viscous damper, if
It is to then follow the steps (3)；If not, thening follow the steps (203)；
(203) reversed toggle joint type viscous damper can at position piece attribute of arrangement be ' the support of None'；
The step (4) is specially：Using control variate method to each can be at position reversed toggle joint type it is viscous
Stagnant damper is analyzed, and the geometric parameter θ when reversed toggle joint type viscous damper is calculated1When variation, reversed toggle joint type is viscous
The corresponding geometric parameter θ of damper2And θ3, the length l of two supports1、l2With the length l of damper rod3, horizontal displacement amplification coefficient
fhWith vertical displacement amplification coefficient fv。
The step (5) is specially：Screening meets the mathematical model of reversed toggle joint type viscous damper geometric parameter simultaneously
So that the horizontal displacement amplification coefficient f of reversed toggle joint type viscous damperhObtain geometric parameter θ when maximum value1, which is
For the optimal geometric parameter of reversed toggle joint type viscous damper.
The mathematical model is as follows：
max fh(θ1) (4a)
s.t.:30°≤θ1=θ3≤80° (4b)
max(θ2min,30°)≤θ2≤80° (4c)
fh(θ1)-fh(θ1+ 0.3) ＜ 0.2 (4g)
fh≤4 (4h)
Wherein, θ1For the angle of reversed toggle joint type viscous damper supporting rod one and trunnion axis, θ2It is viscous for reversed toggle joint type
The angle of damper supporting rod two and vertical axes, θ3For the angle of reversed toggle joint type viscous damper damper rod 3 and vertical axes, l1
The respectively length of reversed toggle joint type viscous damper supporting rod one, l2For the length of reversed toggle joint type viscous damper supporting rod two
Degree, l3For the length of reversed toggle joint type viscous damper damper rod, px, py, pz are respectively reversed toggle joint type viscous damper area
Two angle point of lattice diagonal line is along the difference of the coordinate of X, Y, Z axis, fhFor the horizontal displacement amplification coefficient of reversed toggle joint type viscous damper,
θ2minThe θ for the minimum of requirement that punches for consideration door and window2Angle.
Above-mentioned parameter can be calculated according to the following formula：
When reversed toggle joint type viscous damper is arranged along X-axis：
When reversed toggle joint type viscous damper is arranged along Y-axis：
θ3=θ1 (7)
l1=pz sin θs1 (8)
l3=pz cos θ1 (10)
In formula, b is door and window width；H is door and window height.
The mathematical model Chinese style (4a) is object function, and the target of optimization is the water so that reversed toggle joint type viscous damper
Prosposition moves amplification coefficient fhObtain maximum value.Optimized variable is reversed toggle joint type damper supporting rod one and trunnion axis angle theta1.Formula
(4b-4h) is the constraints of reversed toggle joint type viscous damper geometric Parameters Optimization.Wherein formula (4b-4c) defines three angles
Spend θ1、θ2And θ3Value range；Formula (4d-4f) defines three rod length l1、l2And l3Value range；Formula (4g) provides
Work as angle, θ1The value range of horizontal displacement amplification coefficient knots modification when changing 0.3 °；Formula (4h) defines horizontal displacement amplification
The value range of coefficient.
The geometric parameter considers θ for analyzing the construction error of reversed toggle joint type viscous damper1With
θ2± 0.3 ° of construction error.
The construction error analysis method is as follows：
(a) position and quantity of reversed toggle joint type viscous damper are determined；
(b) according to geometric parameter θ1And θ2, calculateWithThis four
The horizontal displacement amplification coefficient f of reversed toggle joint type viscous damper under kind operating modeh；
(c) f in step (b)hFor minimum value when operating mode be the most unfavorable processing condition, respectively press the most unfavorable processing condition under geometric parameters
Number and optimal geometric parameter model reversed toggle joint type viscous damper, and carry out Nonlinear time-history analysis；
(d) the viscous resistance of reversed toggle joint type in the case of geometric parameter and the optimal geometric parameter under the most unfavorable processing condition is acquired respectively
Buddhist nun's device provide additional damping ratio, you can quantitatively find out reversed toggle joint type viscous damper construction error damper is provided it is attached
Add the influence of damping ratio.
F in the step (b)hSpecific calculating process it is as follows：
1. when reversed toggle joint type viscous damper is arranged along X-axis,
2. when reversed toggle joint type viscous damper is arranged along Y-axis,
According to above-mentioned theory, below using certain 245m Super high-rise dwelling house as example, it is several to introduce reversed toggle joint type viscous damper
What parameter optimization method and construction error analysis method.Construction standard layer height is 3.5m and 3.7m, 66 layers on the ground, 4 layers of underground,
Structural system is Steel frame-brace (shear wall slab) structural system.Structural reinforcement setting is at 22 layers, 43 layers and 59A layers, 22 layers
Floor height is 3.6m, and 43 layers and 59A a height of 4.38m, reversed toggle joint type viscous damper require to be arranged on 3 enhancement layers layer by layer.
It is 0.50kN/m to meet within 10 years one fundamental wind pressure2, it is 0.80kN/m to meet within 50 years one fundamental wind pressure2；Comfort level is tied when checking
Structure inherent damping ratio is 1%, and structure inherent damping ratio is 2% when rigidity checking.The 600s when wind load time-history of input is held, time
Between be divided into 0.0882s.Seismic fortification intensity is 7 degree (0.15g), and classification of design earthquake is second group, Architectural site partition III
Class.According to《Anti- rule》With《Height rule》Requirement, this project frequently occurred earthquake select 5 groups of natural seismic waves and 2 groups of Artificial Seismic Waves into
Row time-history analysis, seismic wave crest value are 65gal, and the ratio of two directions' inputing, both direction is 1:0.85.
22 layers are identical with 43 layers of building function, reversed toggle joint type viscous damper can be in position such as Fig. 3
Shown in thick line, 59A layers of reversed toggle joint type viscous damper can be in position such as Fig. 4 shown in thick line.Full building shares 90 can
Cloth position.
Whether can position at have support, such as differed with supporting way without support or damper arrangement mode if checking,
Then can at cloth position piece attribute of arrangement be ' the support of None', as shown in figure 5, and supporting bar that can be at cloth position is determined
Justice is in groups.Then all coordinate informations that two nodes can be supported at position, successively can to each using control variate method
Reversed toggle joint type viscous damper carries out geometric Parameters Optimization at cloth position, and the results are shown in Table 1 for geometric Parameters Optimization：
1 reversed toggle joint type viscous damper geometric Parameters Optimization result of table
It can be seen in table 1 that be calculated using the reversed toggle joint type viscous damper geometric Parameters Optimization method of the present invention
Horizontal displacement amplification coefficient fhBetween 3-4, it both can guarantee and met actual detailing requiments, and ensured that displacement equations efficiency.
Although however, it is desirable to be pointed out that horizontal displacement amplification coefficient fhReach 3-4, but actual amplification is remote
Less than horizontal displacement amplification coefficient fh.This is because for high-rise building, flexural deformation and it is shear-deformable it is same significantly.
Reversed toggle formula device is also exaggerated vertical relative deformation while amplifying horizontal relative deformation.By extracting typical damping
The node time-histories of device as a result, it has been found that, damper both ends horizontal relative deformation is about 1.25 times of vertical relative deformation, actual position
It is 3.7-2.75/1.25=1.5 times to move amplification.
The additional damping that reversed toggle joint type viscous damper can be provided below according to above-mentioned steps analysis construction error
The influence of ratio：
The displacement equations coefficient f of reversed toggle joint type damperhWith geometric parameter θ1And θ2It is directly related.Supporting rod when construction
When angle positioning with damper rod generates deviation, the displacement equations efficiency of reversed toggle formula device may be made to reduce, to make
The additional damping ratio that damper provides reduces.
By taking 59A floor span is area's lattice of 4.85m as an example, the horizontal displacement amplification coefficient f of reversed toggle formula devicehWith it is vertical
Displacement equations coefficient fvWith geometric parameter θ1And θ2Changing rule it is as shown in Figure 6 and Figure 7.It can be seen from figures 6 and 7 that water
Prosposition moves amplification coefficient fhWith vertical displacement amplification coefficient fvWith θ1Increase and reduce, with θ2Increase and reduce.It is right
There is above-mentioned rule in area's lattice of other spans, it is fixed by taking 59A layers of span are two Typical Areas lattice of 4.85m and 6.05m as an example
Geometric parameter θ is worked as in amount analysis1And θ2When changing ± 0.3 °, horizontal displacement amplification coefficient fhWith vertical displacement amplification coefficient fvChange
Change situation.θ1And θ2When ± 0.3 ° of variation, 59A layer span for 4.85m and 6.05m song lattice displacement equations index variation situation such as
Shown in table 2 and table 3.
59A layers of span are the displacement equations index variation situation of 4.85m song lattice when 2 geometric parameter of table changes ± 0.3 °
59A layers of span are the displacement equations index variation situation of 6.05m song lattice when 3 geometric parameter of table changes ± 0.3 °
As can be seen that working as θ from table 2 and table 31And θ2When increasing by 0.3 °, horizontal displacement amplification coefficient fhAnd vertical displacement
Displacement equations coefficient fvMinimum reduces about 5.5%-6% or so, is at this time the most unfavorable processing condition.
When arranging damper, it should be noted that following two points：When efficiency comes first, it should be excellent by reversed toggle joint type viscous damper
First it is arranged in larger position of consuming energy；Second is that symmetry principle, reversed toggle joint type viscous damper arrangement is preferably about structure axis pair
Claim.The arrangement quantity of reversed toggle joint type viscous damper and should be to meet preset comfort level or additional resistance with damping parameter
Buddhist nun is than condition premised on target, and as possible with less reversed toggle joint type viscous damper, smaller damped coefficient reaches to be set in advance
Fixed target.
The present embodiment descended additional damping ratio to reach 1.5% for target to the wind with 50 years one, and 24 sets of dampers are arranged in full building altogether,
Damped coefficient is 710kN/ (mm/s)0.3, in the arrangement such as Fig. 8 and Fig. 9 of damper shown in thick line.Least favorable work is pressed respectively
Geometric parameter and optimal geometric parameter under condition carry out reversed toggle joint type viscous damper modeling, carry out Nonlinear time-history analysis,
The additional damping ratio acquired under two kinds of operating modes is as shown in table 4：
The influence for the additional damping ratio that 4 construction error of table provides damper
From table 4, it can be seen that considering geometric parameter θ1And θ2After the construction error of ± 0.3 ° of variation, damper provides attached
Damping ratio is added to reduce about 0.12% or so, opposite initial value reduces 6.8% or so.
Claims (5)
1. a kind of reversed toggle joint type viscous damper geometric Parameters Optimization method, which is characterized in that this approach includes the following steps：
(1) determine reversed toggle joint type viscous damper can position；
(2) support can be arranged at position in reversed toggle joint type viscous damper；
(3) coordinate information of all two nodes that can be supported at position is extracted；
(4) use control variate method to each can be at position reversed toggle joint type viscous damper carry out analysis and calculate to work as
The geometric parameter θ of reversed toggle joint type viscous damper1When variation, the reversed corresponding geometric parameter θ of toggle joint type viscous damper2With
θ3, the length l of two supports1、l2With the length l of damper rod3, horizontal displacement amplification coefficient fhWith vertical displacement amplification coefficient fv,
Wherein, θ1For the angle of reversed toggle joint type viscous damper supporting rod one and trunnion axis, θ2For reversed toggle joint type viscous damper branch
The angle of strut two and vertical axes, θ3For the angle of reversed toggle joint type viscous damper damper rod and vertical axes；
(5) screening meets the mathematical model of reversed toggle joint type viscous damper geometric parameter and makes reversed toggle joint type viscous damping
The horizontal displacement amplification coefficient f of devicehObtain geometric parameter θ when maximum value1, which is reversed toggle joint type viscous damper
Optimal geometric parameter, the mathematical model is as follows：
max fh(θ1)
s.t.:30°≤θ1=θ3≤80°
max(θ2min,30°)≤θ2≤80°
fh(θ1)-fh(θ1+ 0.3) 0.2 ＜
fh≤4
Wherein, px, py, pz be respectively two angle point of reversed toggle joint type viscous damper area lattice diagonal line along X, Y, Z axis coordinate it
Difference, fhFor the horizontal displacement amplification coefficient of reversed toggle joint type viscous damper, θ2minThe θ for the minimum of requirement that punches for consideration door and window2
Angle.
2. a kind of reversed toggle joint type viscous damper geometric Parameters Optimization method according to claim 1, which is characterized in that
The step (2) is specially：
(201) whether check reversed toggle joint type viscous damper can have support at position, if so, thening follow the steps
(202)；If not, thening follow the steps (203)；
(202) check whether the arrangement of support is identical as the arrangement of reversed toggle joint type viscous damper, if it is,
Execute step (3)；If not, thening follow the steps (203)；
(203) reversed toggle joint type viscous damper can at position piece attribute of arrangement be ' the support of None', execute
Step (3).
3. a kind of reversed toggle joint type viscous damper geometric Parameters Optimization method according to claim 1, which is characterized in that
The geometric parameter considers geometric parameter θ for analyzing the construction error of reversed toggle joint type viscous damper1With
θ2± 0.3 ° of the construction error generated.
4. a kind of reversed toggle joint type viscous damper geometric Parameters Optimization method according to claim 3, which is characterized in that
The construction error analysis method is as follows：
(a) position and quantity of reversed toggle joint type viscous damper are determined；
(b) according to geometric parameter θ1And θ2, calculateWithThese four operating modes
The horizontal displacement amplification coefficient f of reversed toggle joint type viscous damper downh；
(c) f in step (b)hFor minimum value when operating mode be the most unfavorable processing condition, respectively press the most unfavorable processing condition under geometric parameter and
Optimal geometric parameter models reversed toggle joint type viscous damper, and carries out Nonlinear time-history analysis；
(d) reversed toggle joint type viscous damper in the case of geometric parameter and the optimal geometric parameter under the most unfavorable processing condition is acquired respectively
The additional damping ratio of offer, you can quantitatively find out the additional resistance that reversed toggle joint type viscous damper construction error provides damper
Buddhist nun than influence.
5. a kind of reversed toggle joint type viscous damper geometric Parameters Optimization method according to claim 4, which is characterized in that
F in the step (b)hSpecific calculating process it is as follows：
1. when reversed toggle joint type viscous damper is arranged along X-axis,
2. when reversed toggle joint type viscous damper is arranged along Y-axis,
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| CN103899000A (en) * | 2014-04-04 | 2014-07-02 | 同济大学建筑设计研究院(集团)有限公司 | Viscous damper arranging method based on generalized shear speed |
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Non-Patent Citations (4)
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| "Design Formulations ofr Supplemental Viscous Dampers to Building Structures";Jenn-Shin Hwang.et al.;《Journal of Structural Engineering》;20080131;第22-28页 * |
| "Toggle-Brace-Damper Seismic Energy Dissipation Systems";Michael C.Constantinou.et al;《Journal of Structural Engineering》;20010228;第105-110页 * |
| "关于粘滞阻尼器在结构中的布置位置及安装方式";刘莎，等;《四川建材》;20100831;第36卷(第4期);第1-2页 * |
| "带肘节式连接耗能减震层的超高层结构抗震性能研究";韩启浩;《工程抗震与加固改造》;20150630;第37卷(第03期);第16-20页 * |
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