CN105404716A - Geometrical parameter optimization method of reverse toggle viscous damper - Google Patents

Abstract

The invention relates to a geometrical parameter optimization method of a reverse toggle viscous damper. The geometrical parameter optimization method comprises the following steps: (1) determining the arrangement positions of the reverse toggle viscous damper; (2) arranging supports on the arrangement positions of the reverse toggle viscous damper; (3) extracting the coordinate information of two nodes of the supports of all arrangement positions; (4) adopting a control variable method to analyze the reverse toggle viscous damper on each arrangement position; and (5) according to a mathematic model of the geometrical parameter of the reverse toggle viscous damper, screening an optimal geometrical parameter. Compared with the prior art, the geometrical parameter optimization method is characterized in that the optimized parameter can be directly applied to practical engineering, and worst influence on design due to construction errors is quantitatively considered.

Description

A kind of oppositely toggle joint type viscous damper geometric Parameters Optimization method

Technical field

The present invention relates to a kind of viscous damper parameter optimization method, especially relate to a kind of oppositely toggle joint type viscous damper geometric Parameters Optimization method.

Background technology

Along with the continuous increase of high-rise building height, the overall anti-side rigidity of structure is relatively little, and structural flexibility is large, and this makes the excellent frequency of the natural frequency of high-level structure and high wind more and more close, causes the wind susceptibility of structure also more and more stronger.High-rise building is generally slender type building, and when after height superelevation certain altitude, the crosswind response of structure is remarkable, and the wind-induced vibrating comfort problem of structure can become more outstanding.

In order to improve the comfort level performance of structure, usually there are three kinds of methods: one is the cross section increasing structure anti-side component, is reached the object reducing wind-induced vibration by the integral rigidity improving structure.But this method is obviously uneconomic, and can increase the geological process of structure, unfavorable to antidetonation.Two is adopt TMD to reduce wind-induced vibration, and TMD is the principle based on resonance, is consumed the wind load energy of input by the resonance of minor structure and agent structure.But TMD also exists frequency sensitive, and cost is higher, the shortcoming such as take up room large.Three is adopt viscous damper to reduce wind-induced vibration, viscous damper is a kind of without rigidity, velocity-dependent damper, under wind and seismic loading, viscous fluid is by damping hole or damping clearance and produce damping force with the flowing to opposite side of certain speed, thus the energy of dissipation input structure.Viscous damper just enters power consumption state under small deformation, has stronger energy dissipation capacity, and can wind resistance again can antidetonation, its economy is better than first two scheme.

Although viscous damper just can consume energy under less distortion, under meeting wind load at 10 years one, the stratified deformation of structure is very little.Under so small distortion, adopt traditional diagonal angle connected mode, viscous damper efficiency is lower, is even difficult to play a role.Therefore need to adopt displacement amplification device to amplify wind load bottombearing damper two ends relative velocity and relative deformation, thus improve the energy efficiency of viscous damper.The present invention proposes a kind of for reverse toggle joint type viscous damper geometric Parameters Optimization method, establish the mathematical model of reverse toggle joint type viscous damper geometric Parameters Optimization, by the geometric parameter of the reverse toggle joint type viscous damper of control variate method optimization, and propose the analytical approach of reverse toggle joint type viscous damper construction error on the additional damping ratio impact that damper provides.

Summary of the invention

Object of the present invention is exactly provide a kind of oppositely toggle joint type viscous damper geometric Parameters Optimization method to overcome defect that above-mentioned prior art exists, establish the mathematical model of reverse toggle joint type viscous damper geometric Parameters Optimization, by the geometric parameter of the reverse toggle joint type viscous damper of control variate method optimization, and propose the construction error analytical approach of reverse toggle joint type viscous damper.

Object of the present invention can be achieved through the following technical solutions: a kind of oppositely toggle joint type viscous damper geometric Parameters Optimization method, comprises the following steps:

(1) according to building and owner require to determine reverse toggle joint type viscous damper can position;

(2) can position place layout support at reverse toggle joint type viscous damper;

(3) extract all can the coordinate information of two nodes that supports of position place;

(4) control variate method is adopted can the reverse toggle joint type viscous damper at position place to analyze each;

(5) according to the mathematical model of reverse toggle joint type viscous damper geometric parameter, the geometric parameter that screening is optimum.Described step (2) is specially:

(201) whether what check reverse toggle joint type viscous damper can have support in position place, if so, then performs step (202); If not, then step (203) is performed;

(202) check that whether the arrangement supported is identical with the arrangement of reverse toggle joint type viscous damper, if so, then perform step (3); If not, then step (203) is performed;

(203) reverse toggle joint type viscous damper can position place arrange an attribute be ' the support of None'.

Described step (4) is specially: adopt control variate method can the reverse toggle joint type viscous damper at position place to analyze each, calculate the geometric parameter θ when reverse toggle joint type viscous damper ₁during change, the corresponding geometric parameter θ of reverse toggle joint type viscous damper ₂and θ ₃, two length l supported ₁, l ₂with the length l of damper rod ₃, horizontal shift amplification coefficient f _hwith vertical displacement amplification coefficient f _v.

Described step (5) is specially: screen the mathematical model the horizontal shift amplification coefficient f making reverse toggle joint type viscous damper that meet reverse toggle joint type viscous damper geometric parameter _hobtain geometric parameter θ during maximal value ₁, this parameter is the optimum geometric parameter of reverse toggle joint type viscous damper.

Described mathematical model is as follows:

maxf _h(θ ₁)(4a)

s.t.:30°≤θ ₁＝θ ₃≤80°(4b)

max(θ _2min,30°)≤θ ₂≤80°(4c)

$2000\&le;l_1<\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}---\left(4d\right)$

$2000\&le;l_2<\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}---\left(4e\right)$

$2000\&le;l_3<max(px,py)\&CenterDot;pz/\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}---\left(4f\right)$

f _h(θ ₁)-f _h(θ ₁+0.3)＜0.2(4g)

f _h≤4(4h)

Wherein, θ ₁for reverse toggle joint type viscous damper support bar one and the angle of transverse axis, θ ₂for reverse toggle joint type viscous damper support bar two and the angle of vertical axes, θ ₃for the angle of reverse toggle joint type viscous damper damper rod and vertical axes, l ₁be respectively the length of reverse toggle joint type viscous damper support bar one, l ₂for the length of reverse toggle joint type viscous damper support bar two, l ₃for the length of reverse toggle joint type viscous damper damper rod, px, py, pz are respectively the difference of reverse toggle joint type viscous damper district lattice diagonal line two angle point along the coordinate of X, Y, Z axis, f _hfor the horizontal shift amplification coefficient of reverse toggle joint type viscous damper, θ _2minfor consider door and window punch require minimum θ ₂angle.

Above-mentioned parameter can by following formulae discovery:

When reverse toggle joint type viscous damper is arranged along X-axis:

${\mathrm{\&theta;}}_2=arctan\left(\frac{px-{\mathrm{pzsin\&theta;}}_1{\mathrm{cos\&theta;}}_1}{pz(1-{\sin }^2{\mathrm{\&theta;}}_1)}\right)---\left(5\right)$

When reverse toggle joint type viscous damper is arranged along Y-axis:

${\mathrm{\&theta;}}_2=arctan\left(\frac{py-{\mathrm{pzsin\&theta;}}_1{\mathrm{cos\&theta;}}_1}{pz(1-{\sin }^2{\mathrm{\&theta;}}_1)}\right)---\left(6\right)$

θ ₃＝θ ₁(7)

l ₁＝pzsinθ ₁(8)

$l_2=\frac{pz(1-{\sin }^2{\mathrm{\&theta;}}_1)}{{\mathrm{cos\&theta;}}_2}---\left(9\right)$

l ₃＝pzcosθ ₁(10)

${\mathrm{\&theta;}}_{2min}=arctan\left(\frac{b}{pz-h}\right)---\left(11\right)$

In formula, b is door and window width; H is door and window height.

This mathematical model Chinese style (4a) is objective function, and the target of optimization is the horizontal shift amplification coefficient f making reverse toggle joint type viscous damper _hobtain maximal value.Optimized variable is reverse toggle joint type damper support bar one and transverse axis angle theta ₁.Formula (4b-4h) is the constraint condition of reverse toggle joint type viscous damper geometric Parameters Optimization.Its Chinese style (4b-4c) defines three angle θ ₁, θ ₂and θ ₃span; Formula (4d-4f) defines three rod member length l ₁, l ₂and l ₃span; Formula (4g) defines as angle θ ₁the span of horizontal shift amplification coefficient knots modification when changing 0.3 °; Formula (4h) defines the span of horizontal shift amplification coefficient.

Described geometric parameter is used for analyzing the construction error of reverse toggle joint type viscous damper, and considers θ ₁and θ ₂the construction error of ± 0.3 °.

Described construction error analytical approach concrete steps are as follows:

A () determines position and the quantity of reverse toggle joint type viscous damper;

B () is according to geometric parameter θ ₁and θ ₂, calculate with the horizontal shift amplification coefficient f of reverse toggle joint type viscous damper under these four kinds of operating modes _h;

F in (c) step (b) _hfor operating mode during minimum value is the most unfavorable processing condition, press geometric parameter under the most unfavorable processing condition and optimum geometric parameter respectively to the modeling of reverse toggle joint type viscous damper, line nonlinearity time-history analysis of going forward side by side;

D () to try to achieve in geometric parameter under the most unfavorable processing condition and optimum geometric parameter situation the additional damping ratio that oppositely toggle joint type viscous damper provides respectively, quantitatively can obtain reverse toggle joint type viscous damper construction error to the impact of the additional damping ratio that damper provides.

F in described step (b) _hconcrete computation process as follows:

1. when reverse toggle joint type viscous damper is arranged along X-axis,

$l_1=\frac{px-{\mathrm{pztan\&theta;}}_2}{{\mathrm{cos\&theta;}}_1-{\mathrm{sin\&theta;}}_1{\mathrm{tan\&theta;}}_2}$

${\mathrm{\&theta;}}_3=arctan\left(\frac{l_1{\mathrm{cos\&theta;}}_1}{pz-l_1{\mathrm{sin\&theta;}}_1}\right)$

$f_h=-(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1)$

2. when reverse toggle joint type viscous damper is arranged along Y-axis,

$l_1=\frac{py-{\mathrm{pztan\&theta;}}_2}{{\mathrm{cos\&theta;}}_1-{\mathrm{sin\&theta;}}_1{\mathrm{tan\&theta;}}_2}$

${\mathrm{\&theta;}}_3=arctan\left(\frac{l_1{\mathrm{cos\&theta;}}_1}{pz-l_1{\mathrm{sin\&theta;}}_1}\right)$

$f_h=-(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1).$

Compared with prior art, the present invention has the following advantages:

(1) present applicant proposes a kind of oppositely toggle joint type viscous damper geometric Parameters Optimization method, establish the mathematical model of reverse toggle joint type viscous damper geometric Parameters Optimization, can be obtained the optimum geometric parameter of reverse toggle joint type viscous damper by control variate method, this parameter can directly apply in actual engineering;

(2) the optimum geometric parameter that the application obtains meets the detailing requiments of reality when reverse toggle joint type viscous damper is arranged, and can ensure that the displacement equations coefficient of reverse toggle joint type viscous damper is between 3-4, give full play to the displacement equations effect of reverse toggle joint type;

(3) present applicant proposes the analytical approach of reverse toggle joint type viscous damper construction error on the additional damping ratio impact that damper provides, quantitatively can consider the least favorable impact of construction error on design.

Accompanying drawing explanation

Fig. 1 is the schematic diagram of the reverse toggle joint type viscous damper of the application;

Fig. 2 is the application's reverse toggle joint type viscous damper geometric Parameters Optimization process flow diagram;

Fig. 3 is that in the embodiment of the present application, 22 and 43 enhancement Layer viscous dampers can position figure;

Fig. 4 is that in the embodiment of the present application, 59A enhancement Layer viscous damper can position figure;

Fig. 5 be in the embodiment of the present application can cloth position ' None' support schematic diagram;

Fig. 6 be in the embodiment of the present application horizontal shift amplification coefficient with the Changing Pattern figure of geometric parameter;

Fig. 7 be in the embodiment of the present application vertical displacement amplification coefficient with the Changing Pattern figure of geometric parameter;

Fig. 8 is 22 layers of reverse toggle joint type viscous damper position schematic diagram in the embodiment of the present application;

Fig. 9 is 59A layer reverse toggle joint type viscous damper position schematic diagram in the embodiment of the present application.

Embodiment

Below in conjunction with the drawings and specific embodiments, the present invention is described in detail.

Be illustrated in figure 1 the schematic diagram of reverse toggle joint type viscous damper.Reverse toggle joint type viscous damper has 3 angle variables θ ₁, θ ₂, θ ₃with 3 length variable l ₁, l ₂, l ₃as long as after wherein Two Variables is determined arbitrarily, other four variablees of reverse toggle joint type viscous damper uniquely can be determined by geometric condition.Reverse toggle joint type device is a kind of displacement amplification device, its horizontal shift amplification coefficient f _h, vertical displacement amplification coefficient f _vwith the axial deformation u of damper _dcan be represented by the formula:

$f_h=-(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1)---\left(1\right)$

$f_v=-\frac{{\mathrm{cos\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}---\left(2\right)$

u _D＝f _h·u-f _v·v(3)

In formula, u and v is the horizontal relative deformation of Fig. 1 interior joint b and node d and vertical relative deformation.

As can be seen from formula (1) and formula (2), work as θ ₁=θ ₃time, i.e. l ₁⊥ l ₃, when other condition is identical, horizontal shift amplification coefficient f _hwith vertical displacement amplification coefficient f _vmolecule obtain maximal value.Therefore for making the displacement equations effect of reverse toggle joint type device maximize, θ should be made ₁=θ ₃.So reverse toggle joint type device only has an independent variable θ ₁, once θ ₁determine, other variable just can be determined.In addition, easily find, work as θ ₁+ θ ₂when=90 °, displacement equations coefficient obtains infinitely large quantity, now means that reverse toggle joint type device becomes a constant variable system, and any small distortion of reverse toggle joint type viscous damper all can be made reverse toggle joint type viscous damper destroy by infinitely amplifying.Actual reverse toggle joint type device should be when small change occurs for support bar and damper rod angle, and amplification coefficient can not be caused to produce larger change.Therefore, in order to avoid displacement equations coefficient obtains excessive value, θ is worked as in the present invention's suggestion ₁when changing 0.3 °, the variable quantity of horizontal shift amplification coefficient should be less than 0.2, and horizontal shift amplification coefficient should not more than 4.

A kind of oppositely toggle joint type viscous damper geometric Parameters Optimization method, comprises the following steps (as shown in Figure 2):

(1) according to building and owner require to determine reverse toggle joint type viscous damper can position;

(2) can position place layout support at reverse toggle joint type viscous damper;

(3) extract all can the coordinate information of two nodes that supports of position place;

(4) control variate method is adopted can the reverse toggle joint type viscous damper at position place to analyze each;

(5) according to the mathematical model of reverse toggle joint type viscous damper geometric parameter, the geometric parameter that screening is optimum.Described step (2) is specially:

(201) whether what check reverse toggle joint type viscous damper can have support in position place, if so, then performs step (202); If not, then step (203) is performed;

(202) check that whether the arrangement supported is identical with the arrangement of reverse toggle joint type viscous damper, if so, then perform step (3); If not, then step (203) is performed;

(203) reverse toggle joint type viscous damper can position place arrange an attribute be ' the support of None';

Described step (4) is specially: adopt control variate method can the reverse toggle joint type viscous damper at position place to analyze each, calculate the geometric parameter θ when reverse toggle joint type viscous damper ₁during change, the corresponding geometric parameter θ of reverse toggle joint type viscous damper ₂and θ ₃, two length l supported ₁, l ₂with the length l of damper rod ₃, horizontal shift amplification coefficient f _hwith vertical displacement amplification coefficient f _v.

Described step (5) is specially: screen the mathematical model the horizontal shift amplification coefficient f making reverse toggle joint type viscous damper that meet reverse toggle joint type viscous damper geometric parameter _hobtain geometric parameter θ during maximal value ₁, this parameter is the optimum geometric parameter of reverse toggle joint type viscous damper.

Described mathematical model is as follows:

maxf _h(θ ₁)(4a)

s.t.:30°≤θ ₁＝θ ₃≤80°(4b)

max(θ _2min,30°)≤θ ₂≤80°(4c)

$2000\&le;l_1<\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}---\left(4d\right)$

$2000\&le;l_2<\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}---\left(4e\right)$

$2000\&le;l_3<max(px,py)\&CenterDot;pz/\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}---\left(4f\right)$

f _h(θ ₁)-f _h(θ ₁+0.3)＜0.2(4g)

f _h≤4(4h)

Wherein, θ ₁for reverse toggle joint type viscous damper support bar one and the angle of transverse axis, θ ₂for reverse toggle joint type viscous damper support bar two and the angle of vertical axes, θ ₃for reverse toggle joint type viscous damper damper rod 3 and the angle of vertical axes, l ₁be respectively the length of reverse toggle joint type viscous damper support bar one, l ₂for the length of reverse toggle joint type viscous damper support bar two, l ₃for the length of reverse toggle joint type viscous damper damper rod, px, py, pz are respectively the difference of reverse toggle joint type viscous damper district lattice diagonal line two angle point along the coordinate of X, Y, Z axis, f _hfor the horizontal shift amplification coefficient of reverse toggle joint type viscous damper, θ _2minfor consider door and window punch require minimum θ ₂angle.

Above-mentioned parameter can by following formulae discovery:

When reverse toggle joint type viscous damper is arranged along X-axis:

${\mathrm{\&theta;}}_2=arctan\left(\frac{px-{\mathrm{pzsin\&theta;}}_1{\mathrm{cos\&theta;}}_1}{pz(1-{\sin }^2{\mathrm{\&theta;}}_1)}\right)---\left(5\right)$

When reverse toggle joint type viscous damper is arranged along Y-axis:

${\mathrm{\&theta;}}_2=arctan\left(\frac{py-{\mathrm{pzsin\&theta;}}_1{\mathrm{cos\&theta;}}_1}{pz(1-{\sin }^2{\mathrm{\&theta;}}_1)}\right)---\left(6\right)$

θ ₃＝θ ₁(7)

l ₁＝pzsinθ ₁(8)

$l_2=\frac{pz(1-{\sin }^2{\mathrm{\&theta;}}_1)}{{\mathrm{cos\&theta;}}_2}---\left(9\right)$

l ₃＝pzcosθ ₁(10)

${\mathrm{\&theta;}}_{2min}=arctan\left(\frac{b}{pz-h}\right)---\left(11\right)$

In formula, b is door and window width; H is door and window height.

This mathematical model Chinese style (4a) is objective function, and the target of optimization is the horizontal shift amplification coefficient f making reverse toggle joint type viscous damper _hobtain maximal value.Optimized variable is reverse toggle joint type damper support bar one and transverse axis angle theta ₁.Formula (4b-4h) is the constraint condition of reverse toggle joint type viscous damper geometric Parameters Optimization.Its Chinese style (4b-4c) defines three angle θ ₁, θ ₂and θ ₃span; Formula (4d-4f) defines three rod member length l ₁, l ₂and l ₃span; Formula (4g) defines as angle θ ₁the span of horizontal shift amplification coefficient knots modification when changing 0.3 °; Formula (4h) defines the span of horizontal shift amplification coefficient.

Described geometric parameter is used for analyzing the construction error of reverse toggle joint type viscous damper, and considers θ ₁and θ ₂the construction error of ± 0.3 °.

Described construction error analytical approach concrete steps are as follows:

A () determines position and the quantity of reverse toggle joint type viscous damper;

B () is according to geometric parameter θ ₁and θ ₂, calculate with the horizontal shift amplification coefficient f of reverse toggle joint type viscous damper under these four kinds of operating modes _h;

F in (c) step (b) _hfor operating mode during minimum value is the most unfavorable processing condition, press geometric parameter under the most unfavorable processing condition and optimum geometric parameter respectively to the modeling of reverse toggle joint type viscous damper, line nonlinearity time-history analysis of going forward side by side;

D () to try to achieve in geometric parameter under the most unfavorable processing condition and optimum geometric parameter situation the additional damping ratio that oppositely toggle joint type viscous damper provides respectively, quantitatively can obtain reverse toggle joint type viscous damper construction error to the impact of the additional damping ratio that damper provides.

F in described step (b) _hconcrete computation process as follows:

1. when reverse toggle joint type viscous damper is arranged along X-axis,

$l_1=\frac{px-{\mathrm{pztan\&theta;}}_2}{{\mathrm{cos\&theta;}}_1-{\mathrm{sin\&theta;}}_1{\mathrm{tan\&theta;}}_2}$

${\mathrm{\&theta;}}_3=arctan\left(\frac{l_1{\mathrm{cos\&theta;}}_1}{pz-l_1{\mathrm{sin\&theta;}}_1}\right)$

$f_h=-(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1)$

2. when reverse toggle joint type viscous damper is arranged along Y-axis,

$l_1=\frac{py-{\mathrm{pztan\&theta;}}_2}{{\mathrm{cos\&theta;}}_1-{\mathrm{sin\&theta;}}_1{\mathrm{tan\&theta;}}_2}$

${\mathrm{\&theta;}}_3=arctan\left(\frac{l_1{\mathrm{cos\&theta;}}_1}{pz-l_1{\mathrm{sin\&theta;}}_1}\right)$

$f_h=-(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1).$

According to above-mentioned theory, below with certain 245m Super high-rise dwelling house for example, introduce reverse toggle joint type viscous damper geometric Parameters Optimization method and construction error analytical approach.Construction standard layer height is 3.5m and 3.7m, and 66 layers on the ground, 4 layers, underground, structural system is Steel frame-brace (shear wall slab) structural system.Structural reinforcement is arranged on 22 layers, 43 layers and 59A layer, 22 high layer by layer be 3.6m, 43 layers and 59A high be layer by layer 4.38m, reverse toggle joint type viscous damper requirement is arranged on 3 enhancement Layers.

10 years one meet fundamental wind pressure is 0.50kN/m ², 50 years one meet fundamental wind pressure is 0.80kN/m ²; During comfort level checking computations, structure inherent damping ratio is 1%, and during rigidity checking, structure inherent damping ratio is 2%.The 600s when wind load time-history of input is held, the time interval is 0.0882s.Seismic fortification intensity is 7 degree (0.15g), and classification of design earthquake is second group, and Architectural site partition is III class.According to the requirement of " anti-rule " and " high rule ", this project frequently occurred earthquake selects 5 groups of natural seismic waves and 2 groups of Artificial Seismic Waves to carry out time-history analysis, and seismic event crest value is 65gal, two directions' inputing, and the ratio of both direction is 1:0.85.

22 layers are identical with 43 layers of building function, its reverse toggle joint type viscous damper can position as shown in thick line in Fig. 3, the reverse toggle joint type viscous damper of 59A layer can position as shown in thick line in Fig. 4.Full building has 90 can cloth position.

Whether inspection can have support in position place, as without support or damper arrangement mode not identical with supporting way, then can cloth position arrange an attribute be ' the support of None', as shown in Figure 5, and can the supporting rod of cloth position define in groups.Then allly can support the coordinate information of two nodes in position place, adopt control variate method can carry out geometric Parameters Optimization by the reverse toggle joint type viscous damper in cloth position to each successively, geometric Parameters Optimization result is as shown in table 1:

Table 1 is toggle joint type viscous damper geometric Parameters Optimization result oppositely

As seen from Table 1, the horizontal shift amplification coefficient f that the present invention's reverse toggle joint type viscous damper geometric Parameters Optimization method calculates is adopted _hbetween 3-4, both can ensure to meet actual detailing requiments, displacement equations efficiency can have been ensured again.

But, although it is to be noted horizontal shift amplification coefficient f _hreach 3-4, but the amplification of reality will much smaller than horizontal shift amplification coefficient f _h.This is because for high-rise building, flexural deformation and detrusion are remarkable equally.Reverse toggle joint type device, while the horizontal relative deformation of amplification, is also exaggerated vertical relative deformation.Be found that by the node time-histories extracting typical damper, the relative deformation of damper both ends horizontal is about 1.25 times of vertical relative deformation, and actual displacement equations act as 3.7-2.75/1.25=1.5 doubly.

Construction error is analyzed on the impact of the additional damping ratio that reverse toggle joint type viscous damper can provide below according to above-mentioned steps:

The displacement equations coefficient f of reverse toggle joint type damper _hwith geometric parameter θ ₁and θ ₂directly related.When the angle orientation of support bar and damper rod produces deviation during construction, the displacement equations efficiency of reverse toggle joint type device may be made to reduce, thus the additional damping ratio that damper is provided reduce.

For district's lattice that 59A floor span is 4.85m, the horizontal shift amplification coefficient f of reverse toggle joint type device _hwith vertical displacement amplification coefficient f _vwith geometric parameter θ ₁and θ ₂changing Pattern as shown in Figure 6 and Figure 7.As can be seen from Fig. 6 and Fig. 7, horizontal shift amplification coefficient f _hwith vertical displacement amplification coefficient f _vall along with θ ₁increase and reduce, along with θ ₂increase and reduce.District's lattice for other spans all have above-mentioned rule, two the Typical Areas lattice being 4.85m and 6.05m for 59A layer span, and quantitative test is as geometric parameter θ ₁and θ ₂when changing ± 0.3 °, horizontal shift amplification coefficient f _hwith vertical displacement amplification coefficient f _vsituation of change.θ ₁and θ ₂when changing ± 0.3 °, 59A layer span is for the displacement equations index variation situation of the bent lattice of 4.85m and 6.05m is as shown in table 2 and table 3.

During table 2 geometric parameter change ± 0.3 °, 59A layer span is the displacement equations index variation situation of the bent lattice of 4.85m

During table 3 geometric parameter change ± 0.3 °, 59A layer span is the displacement equations index variation situation of the bent lattice of 6.05m

As can be seen from table 2 and table 3, work as θ ₁and θ ₂when all increasing by 0.3 °, horizontal shift amplification coefficient f _hwith vertical displacement displacement equations coefficient f _vminimum, reducing about about 5.5%-6%, is now the most unfavorable processing condition.

When arranging damper, following 2 points should be noted: one is efficiency comes first, reverse toggle joint type viscous damper preferentially should be arranged in the larger position of power consumption; Two is symmetry principles, and reverse toggle joint type viscous damper is arranged should about structure formed symmetrical.The layout quantity of reverse toggle joint type viscous damper and and damping parameter should to meet condition premised on the comfort level or additional damping ratio target preset, as far as possible with less reverse toggle joint type viscous damper, less ratio of damping reaches the target preset.

Under the present embodiment met wind with 50 years one, additional damping ratio reaches 1.5% for target, and 24 cover dampers are arranged in full building altogether, and ratio of damping is 710kN/ (mm/s) ^0.3, the arrangement of damper is as shown in thick line in Fig. 8 and Fig. 9.Carry out the modeling of reverse toggle joint type viscous damper by the geometric parameter under the most unfavorable processing condition and optimum geometric parameter respectively, carry out Nonlinear time-history analysis, the additional damping ratio of trying to achieve under two kinds of operating modes is as shown in table 4:

Table 4 construction error is on the impact of the additional damping ratio that damper provides

As can be seen from Table 4, geometric parameter θ is considered ₁and θ ₂after changing the construction error of ± 0.3 °, the additional damping ratio that damper provides reduces about about 0.12%, and relative initial value decreases about 6.8%.

Claims (8)

1. a reverse toggle joint type viscous damper geometric Parameters Optimization method, it is characterized in that, the method comprises the following steps:

(1) that determines reverse toggle joint type viscous damper can position;

(2) can position place layout support at reverse toggle joint type viscous damper;

(3) extract all can the coordinate information of two nodes that supports of position place;

(4) control variate method is adopted can the reverse toggle joint type viscous damper at position place to analyze each;

(5) according to the mathematical model of reverse toggle joint type viscous damper geometric parameter, the geometric parameter θ that screening is optimum ₁.

2. one according to claim 1 reverse toggle joint type viscous damper geometric Parameters Optimization method, is characterized in that, described step (2) is specially:

(201) whether what check reverse toggle joint type viscous damper can have support in position place, if so, then performs step (202); If not, then step (203) is performed;

(202) check that whether the arrangement supported is identical with the arrangement of reverse toggle joint type viscous damper, if so, then perform step (3); If not, then step (203) is performed;

(203) reverse toggle joint type viscous damper can position place arrange an attribute be ' the support of None', perform step (3).

3. one according to claim 1 reverse toggle joint type viscous damper geometric Parameters Optimization method, it is characterized in that, described step (4) is specially: adopt control variate method can the reverse toggle joint type viscous damper at position place to analyze each, calculate the geometric parameter θ when reverse toggle joint type viscous damper ₁during change, the corresponding geometric parameter θ of reverse toggle joint type viscous damper ₂and θ ₃, two length l supported ₁, l ₂with the length l of damper rod ₃, horizontal shift amplification coefficient f _hwith vertical displacement amplification coefficient f _v.

4. one according to claim 1 reverse toggle joint type viscous damper geometric Parameters Optimization method, it is characterized in that, described step (5) is specially: screen the mathematical model the horizontal shift amplification coefficient f making reverse toggle joint type viscous damper that meet reverse toggle joint type viscous damper geometric parameter _hobtain geometric parameter θ during maximal value ₁, this parameter is the optimum geometric parameter of reverse toggle joint type viscous damper.

5. the reverse toggle joint type viscous damper of the one according to claim 1 or 4 geometric Parameters Optimization method, it is characterized in that, described mathematical model is as follows:

maxf _h(θ ₁)

s.t.:30°≤θ ₁＝θ ₃≤80°

max(θ _2min,30°)≤θ ₂≤80°

$2000\&le;l_1<\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}$

$2000\&le;l_2<\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}$

$2000\&le;l_3<max(px,py)\&CenterDot;pz/\sqrt{{\mathrm{px}}^2+{\mathrm{py}}^2+{\mathrm{pz}}^2}$

f _h(θ ₁)-f _h(θ ₁+0.3)＜0.2

f _h≤4

Wherein, θ ₁for reverse toggle joint type viscous damper support bar one and the angle of transverse axis, θ ₂for reverse toggle joint type viscous damper support bar two and the angle of vertical axes, θ ₃for the angle of reverse toggle joint type viscous damper damper rod and vertical axes, l ₁be respectively the length of reverse toggle joint type viscous damper support bar one, l ₂for the length of reverse toggle joint type viscous damper support bar two, l ₃for the length of reverse toggle joint type viscous damper damper rod, px, py, pz are respectively the difference of reverse toggle joint type viscous damper district lattice diagonal line two angle point along the coordinate of X, Y, Z axis, f _hfor the horizontal shift amplification coefficient of reverse toggle joint type viscous damper, θ _2minfor consider door and window punch require minimum θ ₂angle.

6. one according to claim 5 reverse toggle joint type viscous damper geometric Parameters Optimization method, is characterized in that, described geometric parameter is used for analyzing the construction error of reverse toggle joint type viscous damper, and considers geometric parameter θ ₁and θ ₂produce ± construction error of 0.3 °.

7. one according to claim 6 reverse toggle joint type viscous damper geometric Parameters Optimization method, is characterized in that, described construction error analytical approach concrete steps are as follows:

A () determines position and the quantity of reverse toggle joint type viscous damper;

B () is according to geometric parameter θ ₁and θ ₂, calculate with the horizontal shift amplification coefficient f of reverse toggle joint type viscous damper under these four kinds of operating modes _h;

F in (c) step (b) _hfor operating mode during minimum value is the most unfavorable processing condition, press geometric parameter under the most unfavorable processing condition and optimum geometric parameter respectively to the modeling of reverse toggle joint type viscous damper, line nonlinearity time-history analysis of going forward side by side;

D () to try to achieve in geometric parameter under the most unfavorable processing condition and optimum geometric parameter situation the additional damping ratio that oppositely toggle joint type viscous damper provides respectively, quantitatively can obtain reverse toggle joint type viscous damper construction error to the impact of the additional damping ratio that damper provides.

8. one according to claim 7 reverse toggle joint type viscous damper geometric Parameters Optimization method, is characterized in that, f in described step (b) _hconcrete computation process as follows:

1. when reverse toggle joint type viscous damper is arranged along X-axis,

$l_1=\frac{px-pz{\mathrm{tan\&theta;}}_2}{{\mathrm{cos\&theta;}}_1-{\mathrm{sin\&theta;}}_1{\mathrm{tan\&theta;}}_2}$

${\mathrm{\&theta;}}_3=arctan\left(\frac{l_1{\mathrm{cos\&theta;}}_1}{pz-l_1{\mathrm{sin\&theta;}}_1}\right)$

$f_h=-(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1)$

2. when reverse toggle joint type viscous damper is arranged along Y-axis,

$l_1=\frac{py-pz{\mathrm{tan\&theta;}}_2}{{\mathrm{cos\&theta;}}_1-{\mathrm{sin\&theta;}}_1{\mathrm{tan\&theta;}}_2}$

${\mathrm{\&theta;}}_3=arctan\left(\frac{l_1{\mathrm{cos\&theta;}}_1}{pz-l_1{\mathrm{sin\&theta;}}_1}\right)$

$f_h=-\left(\frac{{\mathrm{sin\&theta;}}_{2}cos({\mathrm{\&theta;}}_3-{\mathrm{\&theta;}}_1)}{cos({\mathrm{\&theta;}}_1+{\mathrm{\&theta;}}_2)}+{\mathrm{sin\&theta;}}_1\right).$