CN107083908A - A kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method - Google Patents
A kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method Download PDFInfo
- Publication number
- CN107083908A CN107083908A CN201710326648.1A CN201710326648A CN107083908A CN 107083908 A CN107083908 A CN 107083908A CN 201710326648 A CN201710326648 A CN 201710326648A CN 107083908 A CN107083908 A CN 107083908A
- Authority
- CN
- China
- Prior art keywords
- heat preservation
- preservation zone
- mrow
- vertical
- msub
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- E—FIXED CONSTRUCTIONS
- E06—DOORS, WINDOWS, SHUTTERS, OR ROLLER BLINDS IN GENERAL; LADDERS
- E06B—FIXED OR MOVABLE CLOSURES FOR OPENINGS IN BUILDINGS, VEHICLES, FENCES OR LIKE ENCLOSURES IN GENERAL, e.g. DOORS, WINDOWS, BLINDS, GATES
- E06B3/00—Window sashes, door leaves, or like elements for closing wall or like openings; Layout of fixed or moving closures, e.g. windows in wall or like openings; Features of rigidly-mounted outer frames relating to the mounting of wing frames
- E06B3/96—Corner joints or edge joints for windows, doors, or the like frames or wings
- E06B3/964—Corner joints or edge joints for windows, doors, or the like frames or wings using separate connection pieces, e.g. T-connection pieces
-
- E—FIXED CONSTRUCTIONS
- E06—DOORS, WINDOWS, SHUTTERS, OR ROLLER BLINDS IN GENERAL; LADDERS
- E06B—FIXED OR MOVABLE CLOSURES FOR OPENINGS IN BUILDINGS, VEHICLES, FENCES OR LIKE ENCLOSURES IN GENERAL, e.g. DOORS, WINDOWS, BLINDS, GATES
- E06B3/00—Window sashes, door leaves, or like elements for closing wall or like openings; Layout of fixed or moving closures, e.g. windows in wall or like openings; Features of rigidly-mounted outer frames relating to the mounting of wing frames
- E06B3/04—Wing frames not characterised by the manner of movement
- E06B3/263—Frames with special provision for insulation
Landscapes
- Engineering & Computer Science (AREA)
- Civil Engineering (AREA)
- Structural Engineering (AREA)
- Building Environments (AREA)
Abstract
The invention discloses a kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method, including vertical steel plate, horizontal steel plate and 45 ° of sloping desks, wherein, vertical steel plate and horizontal steel plate are vertically arranged, and are connected between the two by 45 ° of sloping desks；The vertical steel plate is divided into vertical heat preservation zone and vertical non-heat preservation zone, and the horizontal steel plate is divided into horizontal heat preservation zone and the non-heat preservation zone of level, and the inner surface of 45 ° of sloping desks is used as 45 ° of sloping desk heat preservation zones；The vertical heat preservation zone, horizontal heat preservation zone and 45 ° of sloping desk heat preservation zones are coated respectively with thermal insulation coatings layer.Security system window is opened flat using the heat-preserving plastic-steel of the present invention, can significantly weaken the cold bridge effect at steel lining fan angle code, the waste of cold here is prevented in high temperature area, preferable heat-insulating property is obtained.
Description
Technical field
The present invention relates to the plastic-steel casement window fan angle code commonly used in a kind of building, more particularly to a kind of heat-preserving plastic-steel casement window
Fan angle code and fan angle code isothermal holding method.
Background technology
Plastic-steel casement window refers to that hinge (hinge) is installed on the plastic-steel door and window that door and window side is outwardly or inwardly opened, and it is in property
Can on be better than general sliding window, glass blocks is big, broad view, and daylight rate is high, cleans the windows conveniently, using flexible.Just because of
The reason for this respect, plastic-steel casement window is substantial amounts of medium-to-high grade applied to the commercial and residential building in city, office building, high-end residential, villa etc.
Building.The structure of plastic-steel window is in UPVC plastic materials plus steel lining is combined, and plastic material cuts into by blanking saw and needed
After the size wanted, penetrate steel lining and be screwed, then be heated at high temperature the window being welded into required for us through welding machine.But by
It is very big in the thermal conductivity factor of steel lining, it be able to can be produced at this position inside cold bridge effect, cold bridge and internal face temperature in high temperature area
It is relatively low, and hot-fluid vector is bigger, and the heat at window can be caused seriously to scatter and disappear, it is serious in the case of can produce condensation and dewfall
Phenomenon, breed bacteria can also be constituted to the health of indoor occupant and endangered.
The content of the invention
The problem of seriously being scattered and disappeared for existing plastic-steel window heat, it is an object of the present invention to provide a kind of heat-preserving plastic-steel is flat
Window sash corner connector and fan angle code isothermal holding method are opened, the plastic-steel casement window with this fan angle code is not greatly improving plastic-steel window
Manufacturing cost under the premise of, reduce cold bridge effect enhancing heat-insulating property, and pragmatic general can be realized.
To realize above-mentioned technical assignment, the present invention is achieved using following technical proposals：
A kind of heat-preserving plastic-steel open flat casement sash corner brace, including vertical steel plate, horizontal steel plate and 45 ° of sloping desks, wherein, vertically
Steel plate and horizontal steel plate are vertically arranged, and are connected between the two by 45 ° of sloping desks；The vertical steel plate is divided into vertically
Heat preservation zone and vertical non-heat preservation zone, the horizontal steel plate are divided into horizontal heat preservation zone and the non-heat preservation zone of level, 45 ° of inclined planes
The inner surface of plate is used as 45 ° of sloping desk heat preservation zones；The vertical heat preservation zone, horizontal heat preservation zone and 45 ° of sloping desk heat preservation zones
It is coated respectively with thermal insulation coatings layer.
Further, the thickness of the thermal insulation coatings layer on the vertical heat preservation zone is calculated by following formula obtains：
In formula, δvThe thickness of thermal insulation coatings floor is smeared for the heat insulation coating area of vertical steel plate；QstandardFor standard heat flow
Standard；λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S6For vertical insulation
The area in area, m2。
Further, the thickness of the thermal insulation coatings layer on the horizontal heat preservation zone is calculated by following formula obtains：
In formula, δhThe thickness of thermal insulation coatings floor is smeared for the heat insulation coating area of horizontal steel plate；QstandardFor standard heat flow
Standard；λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S7It is incubated for level
The area in area, m2。
Further, 45 ° of sloping desk heat preservation zones coat the thickness of thermal insulation coatings：
In formula, δlThe thickness of thermal insulation coatings floor is smeared for the heat insulation coating area of 45 ° of inclined planes；QstandardFor standard heat flow
Standard；λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S9For 45 ° of inclined planes
Area, m2。
Further, the contour line of the vertical heat preservation zone is represented with following formula：
Y=y0+A(1/(1+exp(-(x-xc+w1/2)/w2)))(1-1/(1+exp(-(x-xc-w1/2)/w3)))
In formula, y0For offset, A is amplitude, xcCentered on axle, w1For half great full duration, w2Poor, the w for low energy side3
For high energy side variance；Wherein y0=9.8, A=3.5, xc=0.34, w1=3.21, w2=-0.32, w3=-0.28；
The contour line of the horizontal heat preservation zone is represented with following formula：
Y=y0+A(1/(1+exp(-(x-xc+w1/2)/w2)))(1-1/(1+exp(-(x-xc-w1/2)/w3)))
In formula, y0For offset, A is amplitude, xcCentered on axle, w1For half great full duration, w2Poor, the w for low energy side3
For high energy side variance；y0=-9.8, A=3.5, xc=0.34, w1=3.21, w2=-0.32, w3=-0.28；
The corresponding fit curve equation of the outer camber line curve of 45 ° of sloping desks that obtains is represented with following formula：
Y=A3x2+B3x+C3, A3For multinomial cubic term undetermined coefficient, B3For multinomial quadratic term undetermined coefficient, C3To be many
Formula first order undetermined coefficient wherein, wherein, A3=-2.3554, B3=2.0451, C3=12.9515.
It is a further object of the invention to provide a kind of isothermal holding method of steel fan angle code, comprise the following steps：
Step 1, for common steel fan angle code, the Heat Conduction Differential Equations group of steel fan angle code is solved, determines that steel is fanned
Temperature field T (x, y, z) in corner brace, x, y, z is coordinate axial coordinate；
Step 2, the temperature field T (x, y, z) in steel fan angle code obtained according to step 1, determines vertical steel plate, water respectively
The temperature range of plain plate；It is determined that vertical heat preservation zone and the cut off value of vertical heat preservation zone and horizontal heat preservation zone and the non-insulation of level
The cut off value in area：
Step 3, Temperature numerical on vertical steel plate is equal to the cut off value T of vertical heat preservation zone and vertical heat preservation zonesepreation-v
Temperature isopleth as vertical heat preservation zone envelope curve；Meanwhile, Temperature numerical on horizontal steel plate is equal to horizontal heat preservation zone
With the cut off value T of horizontal heat preservation zonesepreation-hTemperature isopleth as horizontal heat preservation zone envelope curve.
Step 4, the vertical heat preservation zone obtained respectively in step 3 and taken fully on the envelope curve of horizontal heat preservation zone it is enough from
Scatterplot, and obtain the coordinate value of these discrete points；The coordinate value of discrete point is fitted and obtains original fit curve equation；So
Original fit curve equation is respectively processed afterwards, the corresponding plan of the envelope curve of vertical heat preservation zone and horizontal heat preservation zone is obtained
Curvilinear equation is closed, the fit curve equation is regard as vertical heat preservation zone contour line and horizontal heat preservation zone contour line；
Step 5：Each heat preservation zone contour line that step 4 is obtained respectively will as the heat preservation zone line of demarcation of correspondence steel plate
Vertical steel plate and horizontal steel plate are respectively divided into heat insulation coating area and non-heat insulation coating area；
Step 6：Thermal insulation coatings are smeared in the vertical steel plate obtained in step 5 and the heat insulation coating area of horizontal steel plate respectively,
Step 7：The temperature field T (x, y, z) in steel fan angle code obtained according to step 1, by 45 ° of sloping desk inner surfaces
As 45 ° of sloping desk heat preservation zones, thermal insulation coatings layer is coated on the heat preservation zone；
Step 8, for 45 ° of the joint portion inclined plane outer surface of orthogonal steel plate, fanned according to the steel that step 1 is obtained
Temperature field T (x, y, z) in corner brace, increases the material thickness of steel lining fan angle code, after being optimized in thermoisopleth vertical direction
Outer camber line curve 10；Curve 10 is taken fully into more than enough discrete point, the coordinate value of these discrete points is obtained；To discrete on envelope curve
The coordinate value of point is fitted, and obtains original fit curve equation；Then original fit curve equation is handled, obtained
45 ° of corresponding fit curve equations of the outer camber line curve 10 of sloping desk.
Further, in the step 1, the solution of the Heat Conduction Differential Equations group is used to be asked based on Density based
The steady heat conduction model of solution simultaneously combines PISO algorithms.
Further, in the step 2, the cut off value of vertical heat preservation zone and vertical heat preservation zone is determined using formula (1) and (2)
And the cut off value of horizontal heat preservation zone and the non-heat preservation zone of level：
In formula, Tsepreation-vFor the cut off value of vertical heat preservation zone and vertical non-heat preservation zone, DEG C；Tsepreation-hProtected for level
Warm area and the cut off value of horizontal heat preservation zone, DEG C；Tmax-vFor the maximum of vertical steel billet temperature, DEG C；Tmax-hFor horizontal steel plate temperature
Maximum, DEG C；S1、S3The area of respectively vertical steel plate and horizontal steel plate, m2；∫ dxdy, definite integral symbol；α, β are subregion
Divide constant, α=β=1.
Further, in the step 6, the thermal insulation coatings thickness in vertical steel plate heat insulation coating area is determined according to formula 3,
The thermal insulation coatings thickness in horizontal steel plate heat insulation coating area is determined according to formula 4：
In formula, δvAnd δhSmear the thickness of thermal insulation coatings floor in the heat insulation coating area of respectively vertical steel plate and horizontal steel plate；
QstandardFor standard hot flow standard, QstandardTake 20W/m2Fan angle code can be made to obtain good heat insulation effect；λSApplied to be heat-insulated
The composite heat-conducting coefficient of material, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S6、S7Respectively vertical heat preservation zone and level
The area of heat preservation zone, m2。
Further, in the step 7, the thickness of the thermal insulation coatings layer is determined according to formula 5,
In formula, δlThe thickness of thermal insulation coatings floor, S are smeared for the heat insulation coating area of 45 ° of inclined planes9For 45 ° of inclined plane areas,
m2。
Security system window is opened flat using the heat-preserving plastic-steel of the present invention, can significantly weaken the cold bridge effect at steel lining fan angle code
Should, the waste of cold here is prevented in high temperature area, preferable heat-insulating property is obtained.
Brief description of the drawings
Fig. 1 is the three-view diagram of existing plastic-steel casement window steel fan angle code, wherein, (a) is front view, and (b) is left view,
(c) it is top view；
Fig. 2 is the three-view diagram of the plastic-steel casement window steel fan angle code of the present invention, wherein, (a) is front view, and (b) is vertical view
Figure, (c) is left view；
Fig. 3 fans steel corner brace partial enlarged drawing for the plastic-steel casement window of the present invention；
Fig. 4 is existing windowing steel fan angle code temperature field (K)；
Fig. 5 is plastic-steel casement window steel corner brace temperature field (K) of the invention.
Each label implication in figure：1st, vertical steel plate, 2, vertical steel plate screw, 3, horizontal steel plate, 4, horizontal steel plate screw, 5,
Vertical heat preservation zone contour line, 6, vertical heat preservation zone, 6 ', vertical non-heat preservation zone, 7, horizontal heat preservation zone, the non-heat preservation zone of 7 ' levels, 8,
Horizontal heat preservation zone contour line, 9,45 ° of sloping desk heat preservation zones, 10,45 ° of outer camber line curves of sloping desk, 10 ', to be optimized 45 °
The outer camber line curve of sloping desk, 11,45 ° of sloping desks.
Embodiment
The mentality of designing of the present invention is as follows：
The window sash corner connector of the present invention includes the mutually perpendicular steel plate in both sides and connects their 45 ° of sloping desks, passes through
Finite element modelling, calculates the temperature field of former fan angle code heat transfer, quantitatively finds out heat and scatters and disappears most positions.By calculating
Can draw, heat scatter and disappear 45 ° of sloping desks that most positions are combined for the mutually perpendicular steel plate in both sides and with this 45 °
Part of horizontal steel plate and straightened portion steel plate that sloping desk is connected.
First, in 45 ° of sloping desks, in order to reduce thermal loss, according to the temperature distributing rule of steel lining outer surface, waiting
The material thickness of temperature line vertical direction increase steel lining fan angle code, it is determined that boundary curve equation after increase thickness, maximizes and increase
Plus the overall thermal conduction resistance of structure, obtain preferable heat-insulating property.At the same time, patch applies insulation material, according to two-dimentional heat conduction
Heat conduction law determines that insulation material patch applies thickness δ in Ful, reducing cold bridge effect at this to greatest extent strengthens heat-insulating property.Secondly,
In 45 ° of sloping desks and the inner surface of coupled part of horizontal steel plate and straightened portion steel plate, pass through finite element
Simulation, is accurately determined the position in insulation material Tie Tu areas, insulation material Tie Tu areas is set to, according to heat conduction in Fu of one-dimensional heat conduction
Law determines that insulation material patch applies thickness δvAnd δh, reducing cold bridge effect at this to greatest extent strengthens heat-insulating property.
As shown in figure 1, the main body of the heat-preserving plastic-steel open flat casement sash corner brace of the present invention uses common casement window steel fan angle
Code, the steel fan angle code includes vertical steel plate 1, horizontal steel plate 3 and 45 ° of sloping desks 11, wherein, vertical steel plate 1 and horizontal steel
Plate 2 is vertically arranged, and is connected between the two by 45 ° of sloping desks 11；It is respectively equipped with vertical steel plate 1 and horizontal steel plate 3
Vertical steel plate screw 2 and horizontal steel plate screw 4.
The phenomenon of cold bridge is easily formed for common casement window steel fan angle code, to the common vertical steel of steel fan angle code
Plate 1, horizontal steel plate 3 and 45 ° of sloping desks 11 carry out isothermal holding.Isothermal holding is specific as follows：
Firstly, for vertical steel plate 1, according to the temperature field Isothermal Line Distribution rule of steel lining inner surface, by vertical 1 point of steel plate
For vertical heat preservation zone 6 and vertical non-heat preservation zone 6 '.
For horizontal steel plate 3, according to the temperature field Isothermal Line Distribution rule of steel lining inner surface, by horizontal steel plate, 3 points are water
Flat heat preservation zone 7 and the non-heat preservation zone 7 ' of level.
For 45 ° of sloping desks 11, using its inner surface as 45 ° of sloping desk heat preservation zones 9, meanwhile, according to 45 ° of inclined planes
The temperature field Isothermal Line Distribution rule of plate 11, the material thickness of steel lining fan angle code is increased in thermoisopleth vertical direction, passes through fan angle code
The adjustment of self structure maximizes the overall thermal conduction resistance of increase structure, obtains preferable heat-insulating property.
Secondly, to vertical heat preservation zone 6, horizontal heat preservation zone 7 and 45 ° of sloping desks 11, patch applies thermal insulation coatings and protected respectively
Temperature processing.
The thickness of the thermal insulation coatings coated to vertical heat preservation zone 6：
The thickness of the thermal insulation coatings coated to horizontal heat preservation zone 7：
45 ° of sloping desk heat preservation zones 9 are coated with the thickness of thermal insulation coatings：
The present invention gives the isothermal holding method to steel fan angle code, comprises the following steps：
Step 1, for common steel fan angle code, the Heat Conduction Differential Equations group of steel fan angle code is solved, determines that steel is fanned
Temperature field T (x, y, z) in corner brace, x, y, z is coordinate axial coordinate.
Optionally, the solution of above-mentioned Heat Conduction Differential Equations group is to use the steady heat conduction solved based on Density based
Model simultaneously combines the progress of PISO algorithms.
Step 2, the temperature field T (x, y, z) in steel fan angle code obtained according to step 1, determines vertical steel plate, water respectively
The temperature range (maximum temperature and minimum temperature that them are determined respectively) of plain plate.Using formula (1) and (2), obtain respectively
To the cut off value and horizontal heat preservation zone and the cut off value of the non-heat preservation zone of level of vertical heat preservation zone and vertical heat preservation zone：
In formula, Tsepreation-vFor the cut off value of vertical heat preservation zone and vertical non-heat preservation zone, DEG C；Tsepreation-hProtected for level
Warm area and the cut off value of horizontal heat preservation zone, DEG C.Tmax-vFor the maximum of vertical steel billet temperature, DEG C；Tmax-hFor horizontal steel plate temperature
Maximum, DEG C；S1、S3The area of respectively vertical steel plate and horizontal steel plate, m2；∫ dxdy, definite integral symbol；α, β are subregion
Constant is divided, α, β are bigger, and heat preservation zone area is bigger, in the present invention, choose α=β=1 and preferably heat insulation effect can be achieved.
Step 3, Temperature numerical on vertical steel plate is equal to the cut off value T of vertical heat preservation zone and vertical heat preservation zonesepreation-v
Temperature isopleth as vertical heat preservation zone envelope curve；Meanwhile, Temperature numerical on horizontal steel plate is equal to horizontal heat preservation zone
With the cut off value T of horizontal heat preservation zonesepreation-hTemperature isopleth as horizontal heat preservation zone envelope curve.
Step 4, the vertical heat preservation zone obtained respectively in step 3 and taken fully on the envelope curve of horizontal heat preservation zone it is more than enough (no
Less than 300) discrete point, and obtain the coordinate value of these discrete points；Using Genetic Algorithm algorithms to discrete point
Coordinate value is fitted, and obtains original fit curve equation；Then using general Global Optimization Method to original fit curve equation
It is respectively processed, obtains the corresponding fit curve equation of the envelope curve of vertical heat preservation zone and horizontal heat preservation zone, this is fitted
Curvilinear equation is used as vertical heat preservation zone contour line and horizontal heat preservation zone contour line.
The tendency that the coordinate value put from envelope curve can be seen that envelope curve meets the non-linear equation of higher degree.Invention
People has carried out lot of experiments checking, finds Genetic Algorithm algorithms+general global optimization approach, and solution can avoid square
It is cumbersome that battle array is inverted, and fast convergence rate and can be derived that corresponding high-precision, low residual error the matched curve side of each envelope curve
Journey.
Step 5：Each heat preservation zone contour line that step 4 is obtained respectively will as the heat preservation zone line of demarcation of correspondence steel plate
Vertical steel plate and horizontal steel plate are respectively divided into heat insulation coating area and non-heat insulation coating area.
Step 6：Thermal insulation coatings are smeared in the vertical steel plate obtained in step 5 and the heat insulation coating area of horizontal steel plate respectively, tool
Body is as follows：
Thermal insulation coatings thickness in vertical steel plate heat insulation coating area is determined according to formula 3, in horizontal steel plate heat insulation coating area
Thermal insulation coatings thickness is determined according to formula 4：
In formula, δvAnd δhSmear the thickness of thermal insulation coatings floor in the heat insulation coating area of respectively vertical steel plate and horizontal steel plate；
QstandardFor standard hot flow standard, QstandardTake 20W/m2Fan angle code can be made to obtain good heat insulation effect；λS
For the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S6、S7Respectively vertical insulation
Area and the area of horizontal heat preservation zone, m2。
Step 7：The temperature field T (x, y, z) in steel fan angle code obtained according to step 1, by 45 ° of sloping desk inner surfaces
As 45 ° of sloping desk heat preservation zones, thermal insulation coatings layer is coated on the heat preservation zone, the thickness of thermal insulation coatings layer is determined according to formula 5,
In formula, δlThe thickness of thermal insulation coatings floor, S are smeared for the heat insulation coating area of 45 ° of inclined planes9For 45 ° of inclined plane areas,
m2。
Step 8, for 45 ° of the joint portion inclined plane outer surface of orthogonal steel plate, fanned according to the steel that step 1 is obtained
Temperature field T (x, y, z) in corner brace, in order to reduce thermal loss, according to the temperature distributing rule of steel lining outer surface, in thermoisopleth
Vertical direction increases the material thickness of steel lining fan angle code, and thickness is(wherein, QstandardFor standard hot flow standard,
QstandardTake 20W/m2Fan angle code can be made to obtain good heat insulation effect；λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m*
DEG C)), the outer camber line curve 10 after being optimized maximizes the overall thermal conduction resistance of increase structure, obtains preferable heat insulating ability
Energy.Curve 10 is taken fully into more than enough (being no less than 300) discrete point, the coordinate value of these discrete points is obtained.Using Genetic
Algorithm algorithms are fitted to the coordinate value of the discrete point on envelope curve, obtain original fit curve equation；Then adopt
Original fit curve equation is handled with general Global Optimization Method, the outer camber line curve 10 of 45 ° of sloping desks is obtained corresponding
Fit curve equation.
Embodiment 1
The vertical steel plate and horizontal steel plate for deferring to plastic-steel fan angle code in above-mentioned technical proposal, the present embodiment are 55mm*
32mm*2mm (the long wide * of * are thick), vertical steel plate and horizontal steel plate are connected by 45 ° of inclined planes, on vertical steel plate and horizontal steel plate
Screwhole diameter is 4.5mm.Plastic-steel fan angle code inner surface temperature setting is 25 DEG C (298K), outside and contacting external air.
Isothermal holding is carried out to above-mentioned plastic-steel fan angle code using following steps：
Step 1：Using based on the Density based steady heat conduction models solved and with reference to PISO algorithms, steel is solved
The Heat Conduction Differential Equations group (formula 6) of fan angle code, determines temperature field T (x, y, z) in steel fan angle code, as shown in Figure 4.
In formula,It is Laplace operator；qvIt is endogenous pyrogen intensity, W/m3；λ is plastic-steel fan angle code thermal conductivity factor, W/ (m*
℃)；T is temperature in plastic-steel fan angle code, DEG C.
Step 2：The temperature field T (x, y, z) in steel fan angle code obtained according to step 1, takes α=β=1, utilizes formula
(1), formula (2) obtains the cut off value in vertical steel plate and horizontal steel plate heat insulation coating area and non-heat insulation coating area：Tsepreation-v=
23.5℃、Tsepreation-h=23.5 DEG C.
Step 3, vertical heat preservation zone step 2 obtained and the cut off value T of vertical non-heat preservation zonesepreation-v=23.5 DEG C
Temperature isopleth as vertical heat preservation zone envelope curve；Meanwhile, by the cut off value of horizontal heat preservation zone and the non-heat preservation zone of level
Tsepreation-h=23.5 DEG C of temperature isopleth as horizontal heat preservation zone envelope curve.
Step 4, the vertical heat preservation zone obtained respectively in step 3 and taken fully on the envelope curve of horizontal heat preservation zone it is more than enough (no
Less than 300) discrete point, obtain the coordinate value of these discrete points.Using Genetic Algorithm algorithms on envelope curve
The coordinate value of discrete point be fitted, obtain original fit curve equation；Then intended using general Global Optimization Method original
Close curvilinear equation to be respectively processed, obtain the fit curve equation of the envelope curve of vertical heat preservation zone and horizontal heat preservation zone, will
The fit curve equation is used as vertical heat preservation zone contour line 5 and horizontal heat preservation zone contour line 8.
Vertical heat preservation zone contour line 5 meets the distribution form of asymmetric double S function curve, and its function expression is：
Y=y0+A(1/(1+exp(-(x-xc+w1/2)/w2)))(1-1/(1+exp(-(x-xc-w1/2)/w3)))
Y in formula0For offset, A is amplitude, xcCentered on axle, w1For half great full duration, w2Poor, the w for low energy side3
For high energy side variance.Wherein y0=9.8, A=3.5, xc=0.34, w1=3.21, w2=-0.32, w3=-0.28.
Horizontal heat preservation zone contour line 8 meets the distribution form of asymmetric double S function curve, and its function expression is：
Y=y0+A(1/(1+exp(-(x-xc+w1/2)/w2)))(1-1/(1+exp(-(x-xc-w1/2)/w3)))
Y in formula0=-9.8, A=3.5, xc=0.34, w1=3.21, w2=-0.32, w3=-0.28.
Step 5：Each heat preservation zone contour line that step 4 is obtained, respectively will be perpendicular as the insulation line of demarcation of correspondence steel plate
Straight steel plate and horizontal steel plate are divided into heat preservation zone and non-heat preservation zone.
Step 6：Thermal insulation coatings are smeared in the vertical heat preservation zone and horizontal heat preservation zone obtained in step 5 respectively, in vertical steel plate
The thermal insulation coatings thickness in heat insulation coating area determines according to formula 3, horizontal steel plate heat insulation coating area thermal insulation coatings thickness according to formula 4
It is determined that.Solve to obtain δv=δh=2.5mm.
For example：When carrying out the solution of thermal insulation coatings thickness in vertical steel plate heat insulation coating area using formula 3, Qstandard=
20W/m2,The thermal insulation coatings thermal conductivity factor in heat insulation coating area takes 0.042W/ (m* DEG C), tries to achieve
δv=2.5mm.
δ can similarly be tried to achieveh=2.5mm.
Step 7：The temperature field T (x, y, z) in steel fan angle code obtained according to step 1, by 45 ° of sloping desk inner surfaces
Heat insulation coating area is set to, thermal insulation coatings layer is coated on the heat preservation zone, the thickness of thermal insulation coatings layer is determined according to formula 5, is solved
Obtain δl=2.1mm.
Step 8, for 45 ° of the joint portion inclined plane outer surface of orthogonal steel plate, fanned according to the steel that step 1 is obtained
Temperature field T (x, y, z) in corner brace, the material thickness of steel lining fan angle code is increased in thermoisopleth vertical direction, and THICKNESS CALCULATION isOptimization extrados obtain outer arc surface curve 10, by curve 10 take fully it is more than enough (no
Less than 300) discrete point, obtain the coordinate value of these discrete points.Using Genetic Algorithm algorithms on envelope curve
The coordinate value of discrete point be fitted, obtain original fit curve equation；Then intended using general Global Optimization Method original
Close curvilinear equation to be handled, obtain the corresponding fit curve equation of the outer camber line curve 10 of 45 ° of sloping desks, its function expression
For：Y=A3x2+B3x+C3.A in formula3=-2.3554, B3=2.0451, C3=12.9515.
Through experiment, the overall heat conduction of increase structure can be maximized by the plastic-steel fan angle code of isothermal holding and structure optimization
Thermal resistance, obtains preferable heat-insulating property, as schemed (shown in 5), and the fan angle code hull-skin temperature after processing is 31.0 DEG C, outdoor empty
Adjust and calculate temperature in the case of 35 DEG C, energy dissipation can be reduced and reachedCan high temperature be effectively obstructed
Cold of area's operating mode lower fan corner brace at this cold bridge position scatters and disappears.
Claims (10)
1. a kind of heat-preserving plastic-steel open flat casement sash corner brace, including vertical steel plate, horizontal steel plate and 45 ° of sloping desks, wherein, vertical steel
Plate and horizontal steel plate are vertically arranged, and are connected between the two by 45 ° of sloping desks；Characterized in that, the vertical steel plate
It is divided into vertical heat preservation zone and vertical non-heat preservation zone, the horizontal steel plate is divided into horizontal heat preservation zone and the non-heat preservation zone of level, institute
The inner surface of 45 ° of sloping desks is stated as 45 ° of sloping desk heat preservation zones；The vertical heat preservation zone, horizontal heat preservation zone and 45 ° of inclinations
Panel heat preservation zone is coated respectively with thermal insulation coatings layer.
2. heat-preserving plastic-steel open flat casement sash corner brace as claimed in claim 1, it is characterised in that the insulation on the vertical heat preservation zone
The thickness of dope layer is calculated by following formula and obtained：
<mrow>
<msub>
<mi>&delta;</mi>
<mi>v</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&lambda;</mi>
<mi>S</mi>
</msub>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<munder>
<mo>&Integral;</mo>
<msub>
<mi>s</mi>
<mn>6</mn>
</msub>
</munder>
<mi>T</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>,</mo>
<mi>y</mi>
<mo>,</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mi>d</mi>
<mi>x</mi>
<mi>d</mi>
<mi>y</mi>
</mrow>
<mrow>
<munder>
<mo>&Integral;</mo>
<msub>
<mi>s</mi>
<mn>6</mn>
</msub>
</munder>
<mi>d</mi>
<mi>x</mi>
<mi>d</mi>
<mi>y</mi>
</mrow>
</mfrac>
<mo>-</mo>
<msub>
<mi>T</mi>
<mi>N</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<msub>
<mi>Q</mi>
<mrow>
<mi>s</mi>
<mi> </mi>
<mi>tan</mi>
<mi> </mi>
<mi>d</mi>
<mi>a</mi>
<mi>r</mi>
<mi>d</mi>
</mrow>
</msub>
</mfrac>
</mrow>
In formula, δvThe thickness of thermal insulation coatings floor is smeared for the heat insulation coating area of vertical steel plate；QstandardFor standard hot flow standard；
λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S6For the face of vertical heat preservation zone
Product, m2。
3. heat-preserving plastic-steel open flat casement sash corner brace as claimed in claim 1, it is characterised in that the insulation on the horizontal heat preservation zone
The thickness of dope layer is calculated by following formula and obtained：
<mrow>
<msub>
<mi>&delta;</mi>
<mi>h</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&lambda;</mi>
<mi>S</mi>
</msub>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<munder>
<mo>&Integral;</mo>
<msub>
<mi>s</mi>
<mn>7</mn>
</msub>
</munder>
<mi>T</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>,</mo>
<mi>y</mi>
<mo>,</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mi>d</mi>
<mi>x</mi>
<mi>d</mi>
<mi>y</mi>
</mrow>
<mrow>
<munder>
<mo>&Integral;</mo>
<msub>
<mi>s</mi>
<mn>7</mn>
</msub>
</munder>
<mi>d</mi>
<mi>x</mi>
<mi>d</mi>
<mi>y</mi>
</mrow>
</mfrac>
<mo>-</mo>
<msub>
<mi>T</mi>
<mi>N</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<msub>
<mi>Q</mi>
<mrow>
<mi>s</mi>
<mi> </mi>
<mi>tan</mi>
<mi> </mi>
<mi>d</mi>
<mi>a</mi>
<mi>r</mi>
<mi>d</mi>
</mrow>
</msub>
</mfrac>
</mrow>
In formula, δ h smear the thickness of thermal insulation coatings floor for the heat insulation coating area of horizontal steel plate；QstandardFor standard hot flow standard；
λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S7For the face of horizontal heat preservation zone
Product, m2。
4. heat-preserving plastic-steel open flat casement sash corner brace as claimed in claim 1, it is characterised in that 45 ° of sloping desk heat preservation zones
Coat the thickness of thermal insulation coatings：
<mrow>
<msub>
<mi>&delta;</mi>
<mi>l</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>&lambda;</mi>
<mi>S</mi>
</msub>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<munder>
<mo>&Integral;</mo>
<msub>
<mi>s</mi>
<mn>9</mn>
</msub>
</munder>
<mi>T</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>,</mo>
<mi>y</mi>
<mo>,</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mi>d</mi>
<mi>x</mi>
<mi>d</mi>
<mi>y</mi>
</mrow>
<mrow>
<munder>
<mo>&Integral;</mo>
<msub>
<mi>s</mi>
<mn>9</mn>
</msub>
</munder>
<mi>d</mi>
<mi>x</mi>
<mi>d</mi>
<mi>y</mi>
</mrow>
</mfrac>
<mo>-</mo>
<msub>
<mi>T</mi>
<mi>N</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<msub>
<mi>Q</mi>
<mrow>
<mi>s</mi>
<mi> </mi>
<mi>tan</mi>
<mi> </mi>
<mi>d</mi>
<mi>a</mi>
<mi>r</mi>
<mi>d</mi>
</mrow>
</msub>
</mfrac>
</mrow>
In formula, δlThe thickness of thermal insulation coatings floor is smeared for the heat insulation coating area of 45 ° of inclined planes；QstandardFor standard hot flux scale
It is accurate；λSFor the composite heat-conducting coefficient of insulating moulding coating, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S9For 45 ° of inclined plane faces
Product, m2。
5. heat-preserving plastic-steel open flat casement sash corner brace as claimed in claim 1, it is characterised in that the contour line of the vertical heat preservation zone
Represented with following formula：
Y=y0+A(1/(1+exp(-(x-xc+w1/2)/w2)))(1-1/(1+exp(-(x-xc-w1/2)/w3)))
In formula, y0For offset, A is amplitude, xcCentered on axle, w1For half great full duration, w2Poor, the w for low energy side3For height
Energy side is poor；Wherein y0=9.8, A=3.5, xc=0.34, w1=3.21, w2=-0.32, w3=-0.28；
The contour line of the horizontal heat preservation zone is represented with following formula：
Y=y0+A(1/(1+exp(-(x-xc+w1/2)/w2)))(1-1/(1+exp(-(x-xc-w1/2)/w3))) in formula, y0To be inclined
Shifting amount, A is amplitude, xcCentered on axle, w1For half great full duration, w2Poor, the w for low energy side3For high energy side variance；y0=-
9.8, A=3.5, xc=0.34, w1=3.21, w2=-0.32, w3=-0.28；
The corresponding fit curve equation of the outer camber line curve of 45 ° of sloping desks that obtains is represented with following formula：
Y=A3x2+B3x+C3, A3For multinomial cubic term undetermined coefficient, B3For multinomial quadratic term undetermined coefficient, C3For multinomial
First order undetermined coefficient wherein, wherein, A3=-2.3554, B3=2.0451, C3=12.9515.
6. a kind of isothermal holding method of steel fan angle code, it is characterised in that comprise the following steps：
Step 1, for common steel fan angle code, the Heat Conduction Differential Equations group of steel fan angle code is solved, steel fan angle code is determined
Interior temperature field T (x, y, z), x, y, z is coordinate axial coordinate；
Step 2, the temperature field T (x, y, z) in steel fan angle code obtained according to step 1, determines vertical steel plate, horizontal steel respectively
The temperature range of plate；It is determined that vertical heat preservation zone and the cut off value of vertical heat preservation zone and horizontal heat preservation zone and the non-heat preservation zone of level
Cut off value：
Step 3, Temperature numerical on vertical steel plate is equal to the cut off value T of vertical heat preservation zone and vertical heat preservation zonesepreation-vTemperature
Isopleth is spent as the envelope curve of vertical heat preservation zone；Meanwhile, Temperature numerical on horizontal steel plate is equal to horizontal heat preservation zone and water
The cut off value T of flat heat preservation zonesepreation-hTemperature isopleth as horizontal heat preservation zone envelope curve.
Step 4, the vertical heat preservation zone obtained respectively in step 3 and taken fully on the envelope curve of horizontal heat preservation zone enough discrete
Point, and obtain the coordinate value of these discrete points；The coordinate value of discrete point is fitted and obtains original fit curve equation；Then
Original fit curve equation is respectively processed, the corresponding fitting of the envelope curve of vertical heat preservation zone and horizontal heat preservation zone is obtained
Curvilinear equation, regard the fit curve equation as vertical heat preservation zone contour line and horizontal heat preservation zone contour line；
Step 5：Each heat preservation zone contour line that step 4 is obtained, respectively will be vertical as the heat preservation zone line of demarcation of correspondence steel plate
Steel plate and horizontal steel plate are respectively divided into heat insulation coating area and non-heat insulation coating area；
Step 6：Thermal insulation coatings are smeared in the vertical steel plate obtained in step 5 and the heat insulation coating area of horizontal steel plate respectively；
Step 7：The temperature field T (x, y, z) in steel fan angle code obtained according to step 1, using 45 ° of sloping desk inner surfaces as
45 ° of sloping desk heat preservation zones, coat thermal insulation coatings layer on the heat preservation zone；
Step 8, for 45 ° of the joint portion inclined plane outer surface of orthogonal steel plate, the steel fan angle code obtained according to step 1
Interior temperature field T (x, y, z), the material thickness of steel lining fan angle code, the outer arc after being optimized are increased in thermoisopleth vertical direction
Line curve；Outer camber line curve is taken fully into more than enough discrete point, the coordinate value of these discrete points is obtained；To the discrete point on envelope curve
Coordinate value be fitted, obtain original fit curve equation；Then original fit curve equation is handled, obtains 45 °
The corresponding fit curve equation of the outer camber line curve of sloping desk.
7. the isothermal holding method of steel fan angle code as claimed in claim 6, it is characterised in that described to lead in the step 1
The solution of hot differential equation group is using based on the Density based steady heat conduction models solved and with reference to PISO algorithms.
8. the isothermal holding method of steel fan angle code as claimed in claim 6, it is characterised in that in the step 2, utilize formula
And (2) determine the boundary of vertical heat preservation zone and the cut off value of vertical heat preservation zone and horizontal heat preservation zone and the non-heat preservation zone of level (1)
Value：
In formula, Tsepreation-vFor the cut off value of vertical heat preservation zone and vertical non-heat preservation zone, DEG C；Tsepreation-hFor horizontal heat preservation zone
With the cut off value of horizontal heat preservation zone, DEG C；Tmax-vFor the maximum of vertical steel billet temperature, DEG C；Tmax-hFor horizontal steel plate temperature most
Big value, DEG C；S1、S3The area of respectively vertical steel plate and horizontal steel plate, m2；∫ dxdy, definite integral symbol；α, β divide for subregion
Constant, α=β=1.
9. the isothermal holding method of steel fan angle code as claimed in claim 6, it is characterised in that in the step 6, vertical
The thermal insulation coatings thickness in steel plate heat insulation coating area determines according to formula 3, the thermal insulation coatings thickness root in horizontal steel plate heat insulation coating area
Determined according to formula 4：
In formula, δvAnd δhSmear the thickness of thermal insulation coatings floor in the heat insulation coating area of respectively vertical steel plate and horizontal steel plate；Qstandard
For standard hot flow standard, QstandardTake 20W/m2Fan angle code can be made to obtain good heat insulation effect；λSFor answering for insulating moulding coating
Close thermal conductivity factor, W/ (m* DEG C)；TNTemperature is calculated for room conditioning, DEG C；S6、S7Respectively vertical heat preservation zone and horizontal heat preservation zone
Area, m2。
10. the isothermal holding method of steel fan angle code as claimed in claim 6, it is characterised in that described in the step 7
Thermal insulation coatings layer thickness determined according to formula 5,
In formula, δlThe thickness of thermal insulation coatings floor, S are smeared for the heat insulation coating area of 45 ° of inclined planes9For 45 ° of inclined plane areas, m2。
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710326648.1A CN107083908B (en) | 2017-05-10 | 2017-05-10 | A kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710326648.1A CN107083908B (en) | 2017-05-10 | 2017-05-10 | A kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN107083908A true CN107083908A (en) | 2017-08-22 |
| CN107083908B CN107083908B (en) | 2018-12-04 |
Family
ID=59612881
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710326648.1A Active CN107083908B (en) | 2017-05-10 | 2017-05-10 | A kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN107083908B (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110130785A (en) * | 2018-02-09 | 2019-08-16 | 廊坊首跃铝业有限公司 | A kind of structure of aluminum doors and windows |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| FR2485612A1 (en) * | 1980-06-26 | 1981-12-31 | Garczynski Traploir Sa Ent | Weatherproof frame for windows - has tensioned frame corner leaves maintaining frame shape during handling |
| DE3806780A1 (en) * | 1988-03-02 | 1989-09-14 | Cera Handels Gmbh | Laminated insulating glass and process for the production thereof |
| CN201321800Y (en) * | 2008-12-11 | 2009-10-07 | 董呈明 | Connecting structure of plastic corner brace and bridge-cut-off aluminum product |
| CN204492571U (en) * | 2015-01-05 | 2015-07-22 | 天津永信家宝新型建材有限公司 | A kind of group angle insulation window section bar |
-
2017
- 2017-05-10 CN CN201710326648.1A patent/CN107083908B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| FR2485612A1 (en) * | 1980-06-26 | 1981-12-31 | Garczynski Traploir Sa Ent | Weatherproof frame for windows - has tensioned frame corner leaves maintaining frame shape during handling |
| DE3806780A1 (en) * | 1988-03-02 | 1989-09-14 | Cera Handels Gmbh | Laminated insulating glass and process for the production thereof |
| CN201321800Y (en) * | 2008-12-11 | 2009-10-07 | 董呈明 | Connecting structure of plastic corner brace and bridge-cut-off aluminum product |
| CN204492571U (en) * | 2015-01-05 | 2015-07-22 | 天津永信家宝新型建材有限公司 | A kind of group angle insulation window section bar |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110130785A (en) * | 2018-02-09 | 2019-08-16 | 廊坊首跃铝业有限公司 | A kind of structure of aluminum doors and windows |
Also Published As
| Publication number | Publication date |
|---|---|
| CN107083908B (en) | 2018-12-04 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Amaral et al. | A thermal performance parametric study of window type, orientation, size and shadowing effect | |
| Su et al. | Double-skin façade optimization design for different climate zones in China | |
| Aydın | Conjugate heat transfer analysis of double pane windows | |
| Zhang et al. | Heat transfer pattern judgment and thermal performance enhancement of insulation air layers in building envelopes | |
| Milovanović et al. | How to achieve Nearly zero-energy buildings standard | |
| Feist et al. | Energy efficiency–a key to sustainable housing | |
| CN107083908A (en) | A kind of heat-preserving plastic-steel open flat casement sash corner brace and fan angle code isothermal holding method | |
| Park et al. | Condensation resistance evaluation of a double-sliding window system for apartment buildings | |
| Zajicek et al. | Heating of large agricultural and industrial buildings. | |
| CN206957507U (en) | A kind of heat-preserving plastic-steel casement window corner brace | |
| Hamdani et al. | The study natural ventilation by using buildings windows: Case study in a hot dry climate, Ghardaïa, Algeria | |
| CN207453800U (en) | A kind of heat-preserving plastic-steel middle rail for casement window connector | |
| CN206957506U (en) | A kind of cold-proof plastic-steel casement window fan angle code | |
| Thalfeldt et al. | Comparison of simplified and detailed window models in office building energy simulations | |
| Bugarin et al. | Innovative approaches in energy efficiency evaluation of glazed facades in nZEB buildings | |
| Kim et al. | Analysis of Linear Thermal Transmittance in Apartment Building with Radiant Floor Heating System | |
| BM et al. | Numerical simulation of airflow in naturally ventilated attics for different attic geometries | |
| McEvoy et al. | Validation of a computational fluid dynamics simulation of a supply air ‘ventilated’window | |
| CN209637573U (en) | A kind of cold-proof plastic-steel casement window frame angle code | |
| Amrani et al. | Modelling of natural convection with radiation in a triple-glazed ventilated window | |
| Huang et al. | Experimental study on the radiant cooling load of floor based on the radiant time series method | |
| Yang | Research on control property of low-temperature floor radiant heating system | |
| Basok et al. | Heat Transfer Characteristics of a Combination of Two Double-chamber Windows | |
| CN206972091U (en) | Stile's connector in a kind of cold-proof plastic-steel casement window | |
| Boukhris et al. | Influence of night natural ventilation on Tunisian summer thermal comfort |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |