Elliptic curve rectangular coordinate measuring and setting method for elliptic high-rise building main body construction

Abstract

The invention discloses an elliptic curve rectangular coordinate measuring and setting method for elliptic high-rise building main body construction, which comprises the following steps of: establishing a rectangular coordinate system by taking a long axis of an inner side line of an elliptic outer wall as an X axis and a short axis of the inner side line of the outer wall as a Y axis; calculating coordinate values of curve points corresponding to the equal segmentation points of the long axis on the inner side line of the outer wall in the short axis direction; an inner side line of an outer wall of the building is arranged on a bottom layer structural plate of the oval building; points are taken from the long axis and the short axis of the inner side line of the outer wall for multiple times to serve as projection measurement datum points; vertically projecting and measuring the plurality of projection and measurement datum points to a structural plate surface of a construction layer; connecting lines form a long axis and a short axis of an inner side line of the outer wall of the construction layer; marking vertical projection points of the curve points on a structural plate surface of a construction layer; and an inner side line of the outer wall of the building is arranged on the structural plate surface of the construction layer. According to the method, the problems that the curve integrating degree is low and the curve is not round enough in an existing elliptic curve magnified sample measuring and setting method are solved.

Description

Technical Field

[0001] The present invention relates to the technical field of building construction, and particularly relates to a method for setting out an elliptical curve in rectangular coordinates for the main body construction of an elliptical high-rise building. Background Art

[0002] In the modern urban construction, the number of high-rise buildings is increasing continuously, and the building appearance curves are becoming increasingly rich and diverse. Although the traditional method of setting out an enlarged sample of an elliptical curve has fewer plotted points and simple calculations, it has problems such as low curve fitting degree, insufficiently smooth curve, and low setting-out accuracy, and it is difficult to meet the high-precision requirements of high-rise building construction. Summary of the Invention

[0003] To overcome the defects existing in the prior art, there is provided a method for setting out an elliptical curve in rectangular coordinates for the main body construction of an elliptical high-rise building, so as to solve the problems of low curve fitting degree and insufficiently smooth curve existing in the existing method of setting out an enlarged sample of an elliptical curve.

[0004] To achieve the above object, there is provided a method for setting out an elliptical curve in rectangular coordinates for the main body construction of an elliptical high-rise building, including the following steps:

[0005] Taking the major axis of the inner edge line of the outer wall of the elliptical building as the X-axis and the minor axis of the inner edge line of the outer wall as the Y-axis to establish a rectangular coordinate system;

[0006] Dividing the major axis equally, and respectively calculating the coordinate values of the curve points corresponding to the equally divided points of the major axis along the minor axis direction on the inner edge line of the outer wall;

[0007] Based on the coordinate values of the curve points, setting out the inner edge line of the outer wall of the building on the bottom structural slab of the elliptical building;

[0008] Taking points multiple times respectively on the major axis and the minor axis of the inner edge line of the outer wall as the projection reference points;

[0009] Vertically projecting the multiple projection reference points onto the structural slab surface of the construction layer;

[0010] Based on the multiple projection reference points on the structural slab surface of the construction layer, connecting lines to form the major axis and the minor axis of the inner edge line of the outer wall of the construction layer;

[0011] Again, based on the coordinate values of the curve points, the major axis and the minor axis of the inner edge line of the outer wall of the construction layer, marking the vertical projection points of the curve points on the structural slab surface of the construction layer;

[0012] Based on the coordinate values of the vertical projection points, setting out the inner edge line of the outer wall of the building on the structural slab surface of the construction layer.

[0013] Further, the number of segments obtained by equally dividing the major axis is greater than or equal to 20.

[0014] Further, the number of times of taking points on the major axis and minor axis of the inner boundary line of the outer wall is at least two times.

[0015] The beneficial effect of the present invention lies in that the rectangular coordinate surveying and setting method for the elliptical curve of the main body construction of the elliptical high-rise building of the present invention obtains rich characteristic points through precise coordinate calculation, accurately calculates the elliptical circumference, truly restores the smooth elliptical curve, and the measurement accuracy meets the specification requirements.

[0016] The rectangular coordinate surveying and setting method for the elliptical curve of the main body construction of the elliptical high-rise building of the present invention has a large number of plotted points, a higher degree of fit of the elliptical curve, and the generated elliptical curve is more round and smooth. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] By reading the detailed description of the non-limiting embodiments with reference to the following drawings, other features, objects, and advantages of the present application will become more apparent:

[0018] Figure 1 It is a schematic diagram of the surveying and setting of the inner boundary line of the outer wall on the bottom structure slab of the embodiment of the present invention.

[0019] Figure 2 It is a schematic diagram of the surveying and setting of the inner boundary line of the outer wall on the structural slab surface of the construction layer of the embodiment of the present invention.

[0020] Figure 3 It is a schematic diagram of the vertical projection of the surveyed reference point of the embodiment of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0021] The following further details the present application with reference to the drawings and embodiments. It can be understood that the specific embodiments described herein are only used to explain the related invention, rather than limiting the invention. Additionally, it should be noted that for the convenience of description, only the parts related to the invention are shown in the drawings.

[0022] It should be noted that, without conflict, the embodiments in the present application and the features in the embodiments can be combined with each other. The present application will be described in detail below with reference to the drawings and embodiments.

[0023] Referring to Figures 1 to 3 as shown, the present invention provides a rectangular coordinate surveying and setting method for the elliptical curve of the main body construction of an elliptical high-rise building, including the following steps:

[0024] S1. Taking the major axis of the inner boundary line of the outer wall of the elliptical building as the X-axis and the minor axis of the inner boundary line of the outer wall as the Y-axis, a rectangular coordinate system XOY is established.

[0025] S2. Divide the major axis into equal segments, and calculate the coordinate values of the corresponding curve points b of the equal segment points a of the major axis along the minor axis direction on the inner side line of the outer wall respectively.

[0026] As a preferred embodiment, the number of segments for dividing the major axis equally is greater than or equal to 20.

[0027] In this embodiment, divide the semi-major axis into n equal parts (n≥10) to obtain the x coordinate values x 1 , x 2 , …, x n+1 .

[0028] According to the ellipse equation

[0029] Calculate the y coordinate values y of the corresponding curve points b of the equal segment points a 1 , y 2 , …, y n+1 .

[0030] Use an Excel electronic document to quickly obtain the coordinate value list (i.e., the basic data).

[0031] S3. Based on the coordinate values of the curve points b, set out the inner side line of the outer wall of the building on the bottom structural slab of the elliptical building.

[0032] Specifically, step S3 includes:

[0033] The bottom structural slab is the basement foundation cushion or the first-floor structural slab. On the surface of the basement foundation cushion or the first-floor structural slab, set out the symmetry axis, major and minor axes, foci and focal lengths of the ellipse.

[0034] According to the data in the coordinate value list, use the double steel tape intersection method to depict n + 1 curve points in one quadrant.

[0035] Use a steel wire with a diameter of Φ1.5~Φ3 (the effective length is equal to L / 4, where L is the perimeter of the inner side line of the outer wall, that is, the perimeter of the ellipse) to press on these points to densely depict n points, and connecting these points can obtain a 1 / 4 ellipse curve.

[0036] Repeat the above steps to obtain the ellipse curves in the other 3 quadrants, forming the entire ellipse, that is, the inner side line of the outer wall set out on the bottom structural slab of the building.

[0037] S4. Take points multiple times on the major axis and minor axis of the inner side line of the outer wall respectively as the projection reference points.

[0038] As a preferred embodiment, the number of times of taking points on the major axis and minor axis of the inner side line of the outer wall is at least two times.

[0039] In this embodiment, 4 surveying reference points are set on the symmetry axis of the inner edge line of the exterior wall. Preferably, the 2 foci (A1\A2) of the ellipse and the points (B1\B2) obtained by translating the two endpoints of the minor axis 1000 mm towards the origin are used as the surveying reference points.

[0040] S5. Vertically project multiple surveying reference points onto the structural slab surface of the construction layer.

[0041] Specifically, use a laser plumb instrument and 4 reference points for vertical projection to obtain 4 projected points on the structural slab surface of the construction layer.

[0042] S6. Based on multiple surveying reference points on the structural slab surface of the construction layer, connect them to form the major axis and minor axis of the inner edge line of the exterior wall of the construction layer.

[0043] Use a theodolite to measure and set the connection line of the 4 projected points onto the slab surface to form the floor ellipse symmetry axis. Take the symmetry axis as the x and y coordinate axes of the floor, that is, the major axis and minor axis of the inner edge line of the exterior wall of the construction layer.

[0044] Adopt the rectangular coordinate surveying method to survey and set the inner edge line of the floor exterior wall for controlling the positions of the inner and outer formworks of the floor exterior wall.

[0045] S7. Once again, based on the coordinate values of curve point b, the major axis and minor axis of the inner edge line of the exterior wall of the construction layer, mark the vertical projection point of curve point b on the structural slab surface of the construction layer.

[0046] Based on the coordinate values of curve point b in step S2, and then use the equally divided points a of the major axis and minor axis of the inner edge line of the exterior wall of the construction layer to mark the vertical projection point of curve point b on the structural slab surface of the construction layer.

[0047] S8. Based on the coordinate values of the vertical projection points, survey and set the inner edge line of the exterior wall of the building on the structural slab surface of the construction layer.

[0048] The specific steps of step S8 are the same as those of step S3 and will not be elaborated here.

[0049] To further illustrate the rectangular coordinate surveying method for the elliptical curve of the main construction of the elliptical high-rise building of the present invention, the following embodiments are specifically given for detailed description.

[0050] Embodiment 1

[0051] This embodiment provides a rectangular coordinate surveying method for the elliptical curve of the main construction of an elliptical high-rise building, including the following steps:

[0052] Refer to Figure 1 , on the basement roof slab, according to the design drawing parameters, survey and set the parallel lines of the x and y direction axes (800 - 1500 mm away from the main axis, preferably 1000 mm), which are the axis control lines.

[0053] Set the x and y direction symmetry axes of the ellipse on the top plate of the basement according to the axis control line, and the intersection point is the point. Measure and set out the 2 foci of the ellipse on the major axis, clearly marked with A1 and A2. Measure and set out the two endpoints of the minor axis on the minor axis, and translate them 1000 mm towards point O (the origin of the rectangular coordinate system), clearly marked with B1 and B2. Use these 4 points as the benchmark points for projection.

[0054] When constructing the structural slab above the second floor, reserve a measuring and setting-out hole of (150 mm × 150 mm) on the slab surface. The plane position of the center of the setting-out hole corresponds to the 4 benchmark points of A1, A2, B1, and B2 embedded in the structural slab surface of the first floor, so as to project the benchmark points to the concrete structural slab surface of the construction layer through the reserved hole.

[0055] When measuring and setting out the inner edge line of the external wall above the second floor, first lay 4 pieces of plexiglass on the reserved hole on the construction layer. Stick a piece of white paper on the surface of the plexiglass. Use a laser plumb instrument to project the 4 benchmark points on the structural slab surface of the first floor to the surface of the plexiglass on the construction layer, and 4 projection points of A1', A2', B1', and B2' on the symmetry axis of the ellipse on the construction layer can be obtained.

[0056] Set up a J2 theodolite above the plexiglass on the construction layer. Use the theodolite to project the connection lines of the 4 projection points (A1', A2', B1', B2') on the construction layer to the structural slab surface (1, 2, 3, 4) of the construction layer and draw ink lines. The intersection point of the ink lines is the centroid O'. Set up a J2 theodolite above point O', and conduct the symmetry axis azimuth angle. The error must be adjusted within the allowable range of the specification to obtain the symmetry axis of the ellipse on the construction layer, which is also the axis control line in the x and y directions.

[0057] Obtain the x coordinate value and y coordinate value of the elliptical curve points according to the basic data calculation method, and form a list of coordinate values of the elliptical curve points by tabular statistics.

[0058] Take the two symmetry axes of the ellipse as the x and y coordinate axes. According to the list of coordinate values of the elliptical curve points, use the method of intersecting and measuring distances with two steel tapes to plot each point on the elliptical curve. According to the formula;

[0059]

[0060] Among them, L is the perimeter of the inner edge line of the external wall, that is, the perimeter of the ellipse;

[0061] a is the semi-major axis of the ellipse (half of the length of the major axis);

[0062] c is the distance from the focus of the ellipse to the center (i.e., the linear eccentricity, satisfying where b is the semi-minor axis);

[0063] The formula expands the perimeter into the eccentricity in the form of a power series, retaining the quadratic term and the quartic term, that is

[0064]

[0065] Calculate the length of L / 4, press the Φ2 steel wire with an effective length of L / 4 on each point of the elliptical curve, encrypt and plot n points, connect the points to form an ellipse of L / 4. In this way, the entire elliptical curve can be obtained, which is the inner edge line of the exterior wall.

[0066] Only the inner edge line of the exterior wall cannot accurately locate the position of the elliptical shear wall. Only by releasing the control line of the inner edge line of the exterior wall can the position of the elliptical shear wall be accurately located. Use a square to measure 200 - 300 mm inward from each point on the inner edge line of the exterior wall to draw points, and connecting these points can be used as the control line of the inner edge line of the exterior wall.

[0067] The method for setting out the elliptical curve rectangular coordinates in the main construction of the elliptical high-rise building of the present invention obtains rich characteristic points through precise coordinate calculation, accurately calculates the elliptical perimeter, truly restores the smooth elliptical curve, and the measurement accuracy meets the specification requirements.

[0068] The method for setting out the elliptical curve rectangular coordinates in the main construction of the elliptical high-rise building of the present invention has a large number of plotted points, higher fitting degree of the elliptical curve, and the generated elliptical curve is more round and smooth.

[0069] The method for setting out the elliptical curve rectangular coordinates in the main construction of the elliptical high-rise building of the present invention uses the Excle software to establish a functional relationship, ensuring the accuracy and precision of coordinate calculation, and the calculation process is fast and convenient.

[0070] The method for setting out the elliptical curve rectangular coordinates in the main construction of the elliptical high-rise building of the present invention is applicable to elliptical high-rise buildings with a total building height exceeding 30 m or 9 floors and above.

[0071] The above description is only the preferred embodiment of the present application and the explanation of the applied technical principles. Those skilled in the art should understand that the scope of the invention involved in the present application is not limited to the technical solution formed by the specific combination of the above technical features, but should also cover other technical solutions formed by any combination of the above technical features or their equivalent features without departing from the inventive concept. For example, the technical solutions formed by mutually replacing the above features with the (but not limited to) technical features with similar functions disclosed in the present application.

Claims

1. A method for measuring and setting elliptical curve rectangular coordinates for the main construction of an elliptical high-rise building, characterized in that: The following steps are involved: A rectangular coordinate system is established with the major axis of the inner edge of the outer wall of the elliptical building as the X-axis and the minor axis of the inner edge of the outer wall as the Y-axis; Divide the major axis into equal parts, and calculate the coordinate values ​​of the curve points corresponding to the equal-divided points of the major axis on the inner edge line of the exterior wall along the direction of the minor axis; Based on the coordinate values ​​of the curve points, the inner edge of the outer wall of the building is measured and set on the bottom structural plate of the elliptical building; Multiple points are taken on the long axis and the short axis of the inner edge of the outer wall as reference points for projection and measurement; Vertically projecting a plurality of the projecting reference points onto the structural plate surface of the construction layer; Based on the plurality of projected reference points on the structural plate surface of the construction layer, connecting lines to form the major axis and the minor axis of the inner edge line of the outer wall of the construction layer; Based on the coordinate value of the curve point and the major axis and minor axis of the inner edge line of the outer wall of the construction layer, a vertical projection point of the curve point is marked on the structural plate surface of the construction layer; Based on the coordinate values ​​of the vertical projection points, the inner edge lines of the outer walls of the building are measured and set on the structural plate surface of the construction layer.

2. The method for measuring and setting rectangular coordinates of an elliptical curve for the main construction of an elliptical high-rise building according to claim 1, characterized in that: The number of segments into which the long axis is equally divided is greater than or equal to 20.

3. The method for measuring and setting rectangular coordinates of elliptical curves for the main construction of an elliptical high-rise building according to claim 1, characterized in that: The number of times points are taken on the major axis and the minor axis of the inner edge line of the outer wall is at least twice.

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