CN116956397A - Official building wing angle parameterization modeling method - Google Patents

Abstract

The invention discloses an official building wing angle parameterization modeling method, which relates to the field of ancient wood building, wherein through parameterization design, main parameters such as the number of angles, steps, lifting height and rafter leveling of an ancient building, the stamping of bucket feet, round rafters, the stamping and tilting of flyers, the diameter of rafters, the number, the width of angle beams, the width of small continuous eaves, the extending coefficient of sparrow platforms, the thickness of a roof boarding, the thickness of small continuous eaves, a rafter gold plate, a gold purlin (truss) gold plate and some locally-adjusted secondary parameters can be driven to form an official building wing angle model. Through the application of parameterization, the processing model of the clearance official building wing angle can be accurately obtained, and the tool can be applied to a design stage to quickly and accurately generate related models, so that engineering personnel and design personnel can observe the wing angle models under the influence of different parameters. And the design and construction are decided, the material detail can be accurately generated through the size of the model, and the waste of the material is avoided.

Description

Official building wing angle parameterization modeling method

Technical Field

The invention relates to the technical field of ancient wood building, in particular to an official building wing angle parameterized modeling method.

Background

In ancient wooden architecture of China, a very obvious feature is that the roof of the ancient architecture of China has deep eave, beautiful curve, opposite from the sky to the sun, and four corners raised up like a Pengnia to spread wings, so the ancient architecture is visually called as a wing angle. Various types of buildings designed and built for bluebooks by the building codes uniformly regulated by authorities are called official buildings. The wing angle of the official building has a plurality of obvious differences compared with that of the unofficial building, wherein the wing angle of the official building of the Qing dynasty has the following obvious characteristics: 1. the lifting of the wing angle is decomposed into the old angle beam and the young angle beam. The seesaw rafters themselves have a degree of tilt. Due to the rising and rushing out, the wing angle rafters and the rising fly rafters have the requirements of skimming and twisting. The torsion line of the flyer tilting part is the vertical projection of the wing angle rafter cornice line on the flyer tilting rafter head. The back of the gold disc surface of the wing angle rafter is required to be respectively attached with the bottom surface of the small connecting eave and the bottom surface of the large connecting eave in parallel; 2. the two side edges of the tilting fly rafters are vertical to the ground, and the rafter head is vertical to the rafter edges. The rafter head facing surface is in a regular parallelogram with different angles; 3. the line drawing and cutting processing difficulties of manufacturing each wing angle rafter and each tilting rafter are high, and secondary processing on site is generally required; in general, because the wing angle modeling of the official buildings is unique, the construction is difficult to accurately construct when the official buildings are simulated, and when the official buildings are actually constructed, many imitated official buildings cannot meet the special modeling requirements of the traditional official buildings, so that a few simple and convenient alternative methods are used. Such buildings do not accurately reflect the historical age characteristics of the official buildings.

However, along with the continuous popularization of BIM technology in construction application, parameterization technology is also continuously developed, dynamo is used for establishing ancient building wing angles, but the scheme cannot solve the problem that the accurate modeling of the Qing dyno official building cannot be achieved, the Qing dyno building wing angle rafters and the wing angle rafters cannot be processed according to the model, the sparrow length calculation of the wing angle rafters and the wing angle rafters cannot be performed, the automatic calculation of cash tray and skimming cannot be realized, the torque of the wing angle rafters cannot be automatically calculated, the cutting algorithm of rafters is too complex and not simple enough.

Disclosure of Invention

The invention aims to provide an official building wing angle parameterization modeling method for solving the problems in the background technology.

The technical scheme of the invention is as follows: the official building wing angle parameterization modeling method specifically comprises the following steps:

s1, firstly, processing different corner numbers of a building, and directly utilizing the characteristic that the corner numbers of the building are related to the included angles of the central line of the normal rafter and the central line of the angle beam in number;

s2, positioning the tail of a wing angle rafter, calculating an angle beam positioning line C through an angle alpha, and symmetrically obtaining b along an angle beam center line C to obtain L1, namely, the cornice purlin position on the other side of the angle beam, wherein as the gold purlin is parallel to the cornice purlin, the parallel line L2 is taken by using L1 to be the center line of the gold purlin on the right side of the angle beam, and the L2 is offset by half of the width of a gold disc to obtain an outer gold disc line;

s3, calculating the direction of the wing angle rafters, namely, considering a curve from the point A to the point B as an arc line for giving the directions of a starting point (A), an ending point (B) and a tangent vector of the starting point (X-axis), wherein the ending point of the arc line is defined at the center of the angle beam, after finding the arc line, cutting off the arc line by using a new plane obtained by shifting the vertical plane of the center line of the angle beam by 1/4 angle beam thickness to the wing angle side, taking the section on the right side of the plane to project the arc line onto the horizontal plane, and equally dividing the obtained arc line length according to the number +1 of rafters. Perpendicularly projecting the equal division points back to the original cornice arc line to obtain positioning points of rafters;

s4, calculating the position of a flower on a point rafter, namely starting from the position of 1/4 width of the angle beam, wherein when the rafters are denser, the angle beam and the first wing angle rafter have certain possibility to cross, a supplementary value parameter is added at the position, and the distance between the angle beam and the first wing angle rafter is increased by using the supplementary value when the situation is found in the process of creating the wing angle;

s5, automatically calculating skimming directions of the wing angle rafters, wherein the central line of each wing angle rafter is a connecting line of points of the flower of the wing angle rafters and points formed by equidistant generation of rafter grooves of the rafter tail, and the direction of the rafters is defined. The direction of this rafter may define a plane as normal. Projecting the cornice curve connecting with the eave onto the plane along the direction of the rafters to obtain L1; after obtaining L1, knowing that the AB length is half of the length of the golden disk, and assuming that C is the center of a rafter head, then the AC length is known as the radius of the rafter; the central point (rafter flower point) of the rafter is projected onto the plane along the direction of the rafter to obtain a point M passing through the Y axis of the plane of the rafter, and the point C is rotated by 90 degrees by using the tangential direction of L2 to be projected onto L1 at the moment, so that the position of the point B of the gold plate can be found;

and S6, calculating the normal fly rafters and the raising fly rafters, calculating the middle point of each wing angle rafter through geometric relationship, connecting the middle points with the side wall plane to obtain the middle points, and calculating the torsion lines. The skimming degree of the tilted fly rafters is defined as a skimming half rafter in square corner buildings and is also an empirical value, so that the skimming degree can be directly obtained on a large continuous eave curve;

and S7, performing cutting operation on the crossing part of the wing angle rafters, and after finding the circle center and the direction of the rafters on the plane of the rafters, drawing a circle on the plane of the rafters by using the circle center, and extruding a Surface along the direction of the rafters to obtain a Surface list L. The first item is removed from the L list to obtain a new list B, and the intersection line of rafters can be obtained by using the corresponding de-intersection operation of the items A and B. And finding a midpoint along the upper surface of the obtained intersection line, finding a point at each of two ends, and generating a plane by three points in total. The tail of the rafter is then cut successively using a flat surface. After the cutting is completed, the useless part is deleted to leave a final result, and the whole process can be finished.

Preferably, in the step S1, the line is divided from the center of the outer circle to each angle by a positive N-polygon, and the sum of angles near the center is 360 °, so that the included angle α between the angle beam and the positive rafter is equal to 180 °/N.

Preferably, in the step S2, according to the positioning method of the tail of the wing angle rafters, the positioning of the tail end points of the rafters of the building with all angles can be unified in an algorithm; in order to define the distance between each rafter, the number of parameters input and the positioning distance between the rafters with the corresponding number of angles can be defined by using code nodes, and the 'square eight, eight four and six square five' rule of the ancient building rafter positioning is implemented.

Preferably, in the step S3, the series of anchor points are connected with anchor points of the rafters, so as to obtain the direction of the wing angle rafters.

Preferably, in the step S5, the M point is projected onto the L2 curve along the Y axis direction to obtain the exact center C of the rafter head on the plane.

Preferably, in the step S5, the BC segment length may be obtained by using a trigonometric function or the pythagorean theorem. And geometrically performing offset operation on the L1, wherein the offset distance is BC segment length, and a curve L2 passing through the center C can be obtained.

Preferably, in the step S6, the distance of shifting the S1 by one rafter diameter along the vertical line direction is obtained, the S2 intersects with the vertical line passing through the M point at the P3 point, the P2 is a tail end definition point after tilting the fly rafter, the line on the upper surface of the fly rafter can be obtained by connecting the P3 and the P2, and the straight line S3 to the P4 point can be extended by the flat-out of the fly rafter and the sparrow size, so as to obtain the end point of the fly rafter.

Preferably, in the step S7, the rafters are parallelogram shapes which are changed continuously due to the special shape of the raising fly rafters. Therefore, the positioning lines of the left side wall and the right side wall of the tilted fly rafter are independently obtained, and then the lofting operation is carried out.

Preferably, in the step S7, it is determined whether the cut-out portion is a portion to be reserved or a portion to be deleted by a normal line of the plane.

Preferably, in the step S7, a judgment of the normal direction is made first, and if the X value of the normal direction decomposition is negative, the normal direction is reversed.

Compared with the prior art, the preparation method of the high-temperature-resistant PVC pipe provided by the invention has the following improvement and advantages:

1. according to the invention, through parameterized modeling, the main parameters such as the number of corners, the steps, the elevation and the flat-out of rafters (divided rafters and raised rafters) affecting the ancient architecture, the bucket feet step out, the round rafters, the punching and raising of the rafters, the diameter, the number, the width of the angle beam, the width of the small continuous eave, the extending coefficient of the sparrow, the thickness of the roof boarding, the thickness of the small continuous eave, the gold plate of the rafters, the gold purlin (truss) and the like and some locally-adjusted secondary parameters can be used for driving the modeling of the Qing dynasty official-type building wing angle rafters accurately generated under different parameter conditions, so that basis is provided for design, and engineering modeling staff can conveniently and rapidly and accurately create related models. The time will be saved greatly.

2. According to the invention, the wing angle round rafter gold disc surface of the clear official building can be accurately generated, the skimming direction of the rafter is automatically calculated, and the gold disc is automatically attached to the bottom surface of the small connecting eave. The wing angle rafters can be automatically cut, an accurate processing model is generated, and manual line drawing and CNC processing are guided. Can accurately generate various flyer-tilting models, and the style of the flyer-tilting models meets the requirement that the cross section of the official construction rafter of the Qing dynasty is diamond, and the two side edges are perpendicular to the ground.

3. In the invention, the relevant torsion and skimming scales can be found in the most accurate form in a digital mode. The skimming of the tilting rafters and the gold plate is to be maximally attached to the continuous eave, and the twisting is to keep the curve formed at the joint of the rafters of the tilting rafters and the rafter body consistent with the cornice line of the small continuous eave. The best solutions for "skimming" and "torsion" can be found using mathematical analysis. The construction efficiency can be maximally improved when the construction is guided.

4. According to the invention, through parameterized design, main parameters such as the number of corners, a walking frame, elevation, rafter leveling (round rafters and tilting rafters) affecting an ancient building, the bucket feet stepping, round rafters, the punching and tilting of the rafters, the diameter, the number, the width of angle beams, the width of small continuous eaves, the extending coefficient of sparrow platforms, the thickness of a roof boarding, the thickness of small continuous eaves, a rafter gold plate, a gold purlin (truss) gold plate and other minor parameters which are locally adjusted can be driven by computer parameters to form the wing angle model of the Qing dynasty official building. Through the application of parameterization, the processing model of the clearance official building wing angle can be accurately obtained, and the tool can be applied to a design stage to quickly and accurately generate related models, so that engineering personnel and design personnel can observe the wing angle models under the influence of different parameters. Decision making is made on design and construction, material details can be accurately generated through the size of the model, engineering personnel are guided to accurately discharge, and waste of materials is avoided.

Drawings

In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the description of the embodiments or the prior art will be briefly described, and it is obvious that the drawings in the description below are some embodiments of the present invention, and other drawings can be obtained according to the drawings without inventive effort for a person skilled in the art.

FIG. 1 is a schematic illustration of the parameterized construction of a clearance building 6-angle building wing angle model of the present invention (top and front views);

FIG. 2 is a diagram showing the main parameters of constructing a positive pentagonal building construction wing angle according to the present invention;

FIG. 3 is a schematic view of the positioning lines of the pair of wing angle rafters of the present invention;

FIG. 4 is a second schematic view of the positioning lines of the rafter flower of the pair of wing angle rafters of the present invention;

FIG. 5 is a schematic representation of the rafter head plan obtained in a computer according to the invention;

FIG. 6 is a schematic representation of the invention for calculating rafter skimming;

FIG. 7 is a schematic view of the position of the rafter side wall of the present invention for calculating the extension intersection;

FIG. 8 is a schematic view of calculated starting point markers for sparrow stand extension according to the present invention;

FIG. 9 is a view of the concept of generating a forward fly rafter in accordance with the present invention;

FIG. 10 is a diagram illustrating a first concept of generating a tilt beam in accordance with the present invention;

FIG. 11 shows a second generation concept of the tilt rafter of the present invention;

FIG. 12 is a view of a cutting definition line for the tail of a rafter in accordance with the present invention;

fig. 13 shows the spreading effect of the wing angle round rafters according to the present invention.

Reference numerals:

in fig. 2: c is the central line of the angle beam, a is the parting line of the wing angle rafters and the normal rafters, and is equal to the perpendicular line from the crossing point in the golden purlin and the angle beam to the X axis. The wing angle sector occupies the length of the X axis, L1 is in a cornice purlin (truss) on the other side of the angle beam, and L2 is in Jin Linlin on the other side;

fig. 3, fig. 4: AB is the wing angle rafter cornice location line, point A is the starting point of the wing angle rafter control line, and B is the end point (probing 1/4 angle beam width from the side of the angle beam)

In fig. 6: the plane is the plane of the wing angle rafter head, L1 is the projection line of the cornice line on the rafter head, the M point is the positioning point of the rafter flower, the N point is the real upper surface point of the rafter, the A point is the point on the left of the golden disk, the B point is the midpoint of the golden disk, and the C point is the circular arc circle center of the cross section of the rafter.

In fig. 7: and the point M is the intersection point of the plane of the side surface of the wing angle round rafter and the cornice line.

In fig. 8: the point M' is the projection point of the point M in FIG. 7 onto the upper surface of the rafter. Used for calculating the actual protruding distance of the sparrow stand.

In fig. 9: s1 is a slope line of the upper surface of the small connecting eave, S2 is parallel to S1, the distance is a rafter diameter, the intersection point of the vertical line M with the cornice passing point is P3 (also the starting point defined by the straight rafter-twisting line), the distance between parallel lines S4 and S3 of the line S3 connecting the P3-P2 is 1 rafter diameter, the intersection point of the S1 and the S4 is P1, the N point is a point of the P1 perpendicular to the S3, P4 is the calculated upper end point of the flyer, and P5 is the lower end point.

In fig. 10: p1 is found by combining a foothold point found by a normal rafter with a small eave curve, and A is the intersection point of a large eave cornice and a vertical plane in the rafter.

Detailed Description

The following detailed description of the present invention clearly and fully describes the technical solutions of the embodiments of the present invention, and it is apparent that the described embodiments are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.

The invention provides an official building wing angle parameterization modeling method through improvement, which comprises the following steps:

examples:

with reference to figures 1-13 of the drawings,

the official building wing angle parameterization modeling method specifically comprises the following steps:

step S1, processing different angle numbers:

in order to incorporate the angle number N of the building into the parameterization of the wing angle, the characteristic that the angle number of the building is in quantitative relation with the included angle between the central line of the normal rafter and the central line of the angle beam can be directly utilized for correlation. Considering that a positive N-sided polygon is divided from the center of its outer circle to each angle, the sum of angles near the center is 360 degrees, and the included angle alpha between the angle beam and the positive rafter is equal to 180 degrees/N.

S2, positioning the tail of the wing angle rafters:

according to the requirements of the ancient building technology, the tail end positioning end point of the rafter groove is seen as the intersection point of the outer-middle-outer metal disc of the angle beam and the edge line of the angle beam in a top view. The gold purlins of the multi-angle building are intersected and do not need to be at an angle of 90 degrees any more, so after an angle beam positioning line C is calculated through an angle alpha, b is symmetrically obtained along an angle beam center line C to obtain L1, namely the cornice purlin position on the other side of the angle beam, and because the gold purlins are parallel to the cornice purlin, parallel lines L2 are obtained by using L1 to obtain a center line of the gold purlin on the right side of the angle beam, and the L2 is offset by half of the width of a gold disc to obtain an outer gold disc line. According to the method, the end point positioning of the groove tails of the building rafters with all angles can be unified in one algorithm.

In order to define the distance between each rafter, the number of parameters input and the positioning distance between the rafters with the corresponding number of angles can be defined by using code nodes, and the 'square eight, eight four and six square five' rule of the ancient building rafter positioning is implemented.

Step S3, calculating the rafter flower at the wing angle rafter point:

the curve from the point A to the point B can be considered as an arc line in the direction of a given starting point (A), a given ending point (B) and a given starting point tangential vector (X axis), and the length of the arc line obtained by equally dividing the length of the arc line obtained by the definition of the center of the angle beam according to the number of rafters and the number of +1 is equal after finding the arc line, cutting off the arc line by using a new plane obtained by shifting the vertical plane of the center line of the angle beam by 1/4 of the angle beam thickness to the wing angle side, taking the section on the right side of the plane, and projecting the arc line onto the horizontal plane. And vertically projecting the bisection points back to the original cornice arc line to obtain the positioning points of the rafters. And connecting the series of positioning points with the positioning points of the rafters, and obtaining the direction of the wing angle rafters.

Because the rafter flower points from the 1/4 width position of the angle beam, when rafters are denser, the first wing angle beam has a certain possibility of crossing the angle beam, which is different from the requirement that the traditional pithy formula that the first wing angle beam is required to be capable of extending into fingers by one-stick-up and two-stick-up follow-up is required, a supplementary value parameter is added, and the distance between the first wing angle beam and the angle beam is increased by using the supplementary value when the situation is found in the process of creating the wing angle.

Step S4, performing automatic skimming calculation on the wing angle rafters:

the back of the finished tilting rafter required to be installed in the skimming direction of the official building of the Qing dyn is parallel and solid with the lower skin of the big continuous eave and the lower skin of the small continuous eave respectively. The definition of "three-strike, four-turn, and half-skim rafters" refers to half-skim rafters, and this skim dimension is an empirical data for achieving parallel attachment. The skimming of the wing angle rafters is achieved by drawing skimming lines on the tooling during conventional tooling, and the associated graduation mark-out method is also derived from experience. The use of digitization allows the associated skimming tool to be accurately defined without having to rely on a pithy formula.

The midline of each wing angle rafter is the line between the point of the rafter flower and the point of the equidistant generation of the rafter groove at the tail part of the rafter, and simultaneously defines the direction of the rafter. The direction of this rafter may define a plane as normal. Along the direction of rafters, the cornice curve connecting the eaves is projected onto the plane to obtain L1.

After obtaining L1, the AB length (half of the gold plate length) is known, and assuming C is the center of the rafter head, the AC length is known as the radius of the rafter. The BC segment length can be derived using trigonometric functions or the pythagorean theorem. Geometrically, carrying out offset operation on L1, wherein the offset distance is BC segment length, so that a curve L2 passing through a circle center C can be obtained, projecting a central point (rafter flower point) of a rafter onto the plane along the direction of the rafter to obtain a point M passing through a plane Y axis of the rafter, and projecting the point M onto the L2 curve along the direction of the Y axis to obtain an accurate circle center C of the rafter on the plane. In this time, the C point is rotated 90 degrees beyond the tangential direction of the L2 and projected onto the L1, and the position of the midpoint B of the gold disk can be found.

Step S5, performing sparrow stand extension calculation of the wing angle rafters:

if point M is the intersection of the cornice curve and the left side of the rafter (M is on the cornice line), then calculating the protrusion of the sparrow table based on point M is not straightforward, as this point does not fall vertically on the surface of the rafter. The intersection point M should lie along the Z-axis on the PLAN along a plane on the rafter, the X-axis direction of the plane being perpendicular to the Z-axis and the direction of the rafter, the Y-axis being the direction of the rafter. Starting from this, it is ensured that the sparrow of rafters extends outwardly along the cornice line in a vertical view. I.e., point M' in fig. 8.

Step S6, calculating a normal fly rafter and a tilted fly rafter:

in the official construction of the Qing dynasty, the two side edges of the flyer are required to be vertical to the ground. The provision of the vertical sides directly leads to different skimming degrees of each flyer due to different cornice curve positions in the wing angles, so that certain difficulty is brought to paying off and manufacturing, and the method is one of reasons for higher technical content of wing angle parts in official buildings.

As shown in fig. 9, assuming that the plane of the drawing is a plane passing through the normal rafter vertically, the point M is a small eave-connecting point on the normal round rafter, and the point S1 is a line on the upper surface of the small eave, then, S2 is obtained by shifting S1 by a distance of one rafter diameter along the vertical direction, S2 intersects with the vertical line passing through the point M at the point P3, P2 is a rear tail end definition point of the flyer, the line on the upper surface of the flyer is obtained by connecting P3 with P2, and the straight line S3 to the point P4 can be extended by the flat-out and sparrow size of the flyer, so that the end point of the flyer is obtained, and at this time, the point P1 intersected with S1 is obtained by shifting S3 by a distance of the same rafter diameter along the vertical direction of S3. The method of such mapping ensures that the distance between S3 and S4 is exactly one rafter diameter, and also ensures that the thickness of the rafter is one rafter diameter.

An important feature for a raised fly is that it has a torsion line which is exactly the projection of the cornice line onto the raised fly. The torsion degree at the place of the square corner building according to the traditional thought is close to eight torsion, namely the horizontal distance of the line perpendicular to the rafter side edges at the two ends of the torsion line is 0.8 rafter diameter. If the number of angles of the building changes to other angles, the first tilt is not properly defined by turning eight, and the traditional method requires proper increase and decrease but has no exact value. The midpoint of each wing angle rafter can be obtained through the geometric relationship, and the points are connected and then intersected with the side wall plane to obtain points, so that the ankle line is obtained. The skimming degree of the fly rafters is defined as a skimming half rafter in square corner buildings and is also an empirical value, and then the skimming degree can be directly obtained on a large continuous eave curve.

As shown in fig. 10, assuming that the plane of the drawing is a plane passing vertically through the face of the flyer rafter, the point P1 is a point where the corner flyer is supported on the upper surface of the small connecting eave, and the position of the point P1 can be obtained by shifting and projecting the cornice line onto the small connecting eave through the position of the front flyer after the small connecting eave is created and then intersecting with the plane S passing through the rafter line and being perpendicular to the XY plane. P2 is obtained using a relative projection of the punch-out and the lift-off. The key point is that P3, firstly, the intersection point A of the vertical plane S and the large eave line is obtained, then the point A is on the upper surface point of the large eave, and as the position of P1 is known, a dummy point C is found through an algorithm after the A-P1 line segment is connected, and the point C just meets the following conditions: the line of C-P1 is perpendicular to the AC, and the AC is on the upper skin of the rafter head of the flyer. The length of the C-P1 is just one rafter diameter, so that the height of the raised fly rafter head is just 1 rafter diameter.

Since the length of a-P1 is known and the length of C-P1 is known as a rafter diameter, then the ratio of the lengths of the two sides can be used to find the angle CAP1 by inverting the trigonometric function, and rotating a-P1 by that angle along point a gives a line through the AC which is also the direction of the rafter. The P3 point can be obtained by vertically projecting the cornice point of the small continuous eave onto the AC line, and the positions of the P4 and P5 points of the cornice point can be easily calculated according to the length of the sparrow platform on the basis of the calculation.

As shown in fig. 11, the rafters are constantly changing parallelograms due to the special shaping of the raised fly rafters. Therefore, the positioning lines of the left side wall and the right side wall of the tilted fly rafter are independently obtained, and then the lofting operation is carried out. The connecting line of the P3 point in each rafter is intersected with two side edges to obtain a P3 point corresponding to the left side edge and the right side edge, the P4 point of the left side edge can be obtained through the distance between sparrow platforms and the CA direction, the normal line direction CA is used, after the original point P4 defines a rafter head plane, the intersection point of the large connecting eave line and the right side edge plane is projected to the rafter head plane along the CA direction to obtain the right side edge P4. The P1 points of the left side wall and the right side wall are obtained by moving the cornice line to the P1 point position of the normal rafter on the YZ plane, projecting the cornice line onto the small continuous cornice plane along the vertical direction, and intersecting the left side wall plane and the right side wall plane. And (3) taking a positive value and a negative value according to the cross multiplication results of the P3-P2 direction and the Z-axis direction, and moving the P2 along the vector to obtain the left side upper point and the right side upper point of the P2. P5 is determined based on the rafter diameter P4 having a rafter thickness of 1.

S7, performing cutting operation on the crossing part of the wing angle rafters:

conventional craftsmen requires a lot of preparation work and working procedures in the cutting work of the wing angle rafters, and the cutting result is often not accurate enough. By research, accurate cut data can be obtained using computer-aided calculations to calculate.

After finding the center and direction of the rafters in the plane of the rafters, drawing a circle on the plane of the rafters by using the center, and extruding a Surface along the direction of the rafters to obtain a Surface list L. The first item is removed from the L list to obtain a new list B, and the intersection line of rafters can be obtained by using the corresponding de-intersection operation of the items A and B. And finding a midpoint along the upper surface of the obtained intersection line, finding a point at each of two ends, and generating a plane by three points in total. Firstly, judging the normal direction, and if the X value decomposed in the normal direction is negative, turning over the normal direction. The tail of the rafter is then cut successively using a flat surface. After the cutting is completed, whether the cut-out portion is a portion to be reserved or a portion to be deleted is judged by the normal line of the plane. The removal of the unused portion leaves the final result.

Fig. 13 shows the effect of spreading the rafters along a line with the rafter head position, with the body dish parallel to the XY plane.

According to the invention, through parameterized modeling, the main parameters such as the number of corners, the steps, the elevation and the flat-out of rafters (divided rafters and raised rafters) affecting the ancient architecture, the bucket feet step out, the round rafters, the punching and raising of the rafters, the diameter, the number, the width of the angle beam, the width of the small continuous eave, the extending coefficient of the sparrow, the thickness of the roof boarding, the thickness of the small continuous eave, the gold plate of the rafters, the gold purlin (truss) and the like and some locally-adjusted secondary parameters can be used for driving the modeling of the Qing dynasty official-type building wing angle rafters accurately generated under different parameter conditions, so that basis is provided for design, and engineering modeling staff can conveniently and rapidly and accurately create related models. The time will be saved greatly.

According to the invention, the wing angle round rafter gold disc surface of the clear official building can be accurately generated, the skimming direction of the rafter is automatically calculated, and the gold disc is automatically attached to the bottom surface of the small connecting eave. The wing angle rafters can be automatically cut, an accurate processing model is generated, and manual line drawing and CNC processing are guided. Can accurately generate various flyer-tilting models, and the style of the flyer-tilting models meets the requirement that the cross section of the official construction rafter of the Qing dynasty is diamond, and the two side edges are perpendicular to the ground.

In the invention, the relevant torsion and skimming scales can be found in the most accurate form by a digital mode. The skimming of the tilting rafters and the gold plate is to be maximally attached to the continuous eave, and the twisting is to keep the curve formed at the joint of the rafters of the tilting rafters and the rafter body consistent with the cornice line of the small continuous eave. The best solutions for "skimming" and "torsion" can be found using mathematical analysis. The construction efficiency can be maximally improved when the construction is guided.

According to the invention, through parameterized design, main parameters such as the number of corners, a walking frame, elevation, rafter leveling (round rafters and tilting rafters) affecting an ancient building, the bucket feet stepping, round rafters, the punching and tilting of the rafters, the diameter, the number, the width of angle beams, the width of small continuous eaves, the extending coefficient of sparrow platforms, the thickness of a roof boarding, the thickness of small continuous eaves, a rafter gold plate, a gold purlin (truss) gold plate and other minor parameters which are locally adjusted can be driven by computer parameters to form the wing angle model of the Qing dynasty official building. Through the application of parameterization, the processing model of the clearance official building wing angle can be accurately obtained, and the tool can be applied to a design stage to quickly and accurately generate related models, so that engineering personnel and design personnel can observe the wing angle models under the influence of different parameters. Decision making is made on design and construction, material details can be accurately generated through the size of the model, engineering personnel are guided to accurately discharge, and waste of materials is avoided.

The previous description is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (10)

1. The official building wing angle parameterization modeling method is characterized by comprising the following steps of:

s1, firstly, processing different corner numbers of a building, and directly utilizing the characteristic that the corner numbers of the building are related to the included angles of the central line of the normal rafter and the central line of the angle beam in number;

s2, positioning the tail of a wing angle rafter, calculating an angle beam positioning line C through an angle alpha, and symmetrically obtaining b along an angle beam center line C to obtain L1, namely, the cornice purlin position on the other side of the angle beam, wherein as the gold purlin is parallel to the cornice purlin, the parallel line L2 is taken by using L1 to be the center line of the gold purlin on the right side of the angle beam, and the L2 is offset by half of the width of a gold disc to obtain an outer gold disc line;

s3, calculating the direction of a wing angle rafter, namely, taking a curve from the point A to the point B, which can be regarded as an arc line giving a starting point A, a finishing point B and a starting point tangential vector X-axis) direction, wherein the finishing point of the arc line is defined at the center of the angle beam, and after finding the arc line, cutting off the arc line by using a new plane obtained by shifting the vertical plane of the center line of the angle beam by 1/4 of the angle beam thickness to the wing angle side, taking the section on the right side of the plane to project the arc line onto the horizontal plane, and the obtained arc line length is equally divided according to the number +1 of rafters; perpendicularly projecting the equal division points back to the original cornice arc line to obtain positioning points of rafters;

s4, calculating the position of a flower on a point rafter, namely starting from the position of 1/4 width of the angle beam, wherein when the rafters are denser, the angle beam and the first wing angle rafter have certain possibility to cross, a supplementary value parameter is added at the position, and the distance between the angle beam and the first wing angle rafter is increased by using the supplementary value when the situation is found in the process of creating the wing angle;

s5, automatically calculating skimming directions of the wing angle rafters, wherein the central line of each wing angle rafter is a connecting line of points of the flower of the wing angle rafters and points generated by equidistant rafter grooves of the rafter tail, and the direction of the rafters is defined; the direction of the rafter may define a plane as normal; projecting the cornice curve connecting with the eave onto the plane along the direction of the rafters to obtain L1; after obtaining L1, knowing that the AB length is half of the length of the golden disk, and assuming that C is the center of a rafter head, then the AC length is known as the radius of the rafter; the central point of the rafter, namely the rafter flower point, is projected onto the plane along the direction of the rafter to obtain a point M passing through the Y axis of the plane of the rafter head, and the point C is rotated by 90 degrees by using the tangential direction of L2 and projected onto L1 at the moment, so that the position of the point B of the gold plate can be found;

s6, calculating a normal fly rafter and a raising fly rafter, calculating the middle point of each wing angle rafter through a geometric relationship, connecting the middle points with a side wall plane to obtain points, and calculating the torsion lines; the skimming degree of the tilted fly rafters is defined as a skimming half rafter in square corner buildings and is also an empirical value, so that the skimming degree can be directly obtained on a large continuous eave curve;

s7, performing cutting operation on the crossing part of the wing angle rafters, after finding out the circle center and the direction of the rafters on the plane of the rafters, drawing a circle on the plane of the rafters by using the circle center, and extruding a Surface along the direction of the rafters to obtain a Surface list L; removing a first item from the L list to obtain a new list B, and performing item-by-item corresponding de-crossing operation on the A and the B to obtain crossing lines of rafters; finding a midpoint along the upper surface of the obtained intersection line, finding a point at two ends of the intersection line, and generating a plane by totaling three points; then the tail of the rafter is cut successively by using a plane; after the cutting is completed, the useless part is deleted to leave a final result, and the whole process can be finished.

2. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S1, connecting lines are divided from the circle center of the circumscribed circle to each angle through a positive N-shaped polygon, the sum of angles close to the circle center is 360 degrees, and then the included angle alpha of the angle beam and the positive rafter is equal to 180 degrees/N.

3. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S2, according to the positioning method of the tail of the wing angle rafters, the positioning of the tail end points of the groove of the building rafters with all angles can be unified in one algorithm.

In order to define the distance between each rafter, the number of parameters input and the positioning distance between the rafters with the corresponding number of angles can be defined by using code nodes, and the 'square eight, eight four and six square five' rule of the ancient building rafter positioning is implemented.

4. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S3, the series of locating points are connected with locating points of the rafters, and the direction of the wing angle rafters can be obtained.

5. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S5, the M point is projected onto the L2 curve along the Y-axis direction, and the accurate circle center C of the rafter head on the plane can be obtained.

6. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S5, the length of the BC segment can be obtained by using a trigonometric function or the pythagorean theorem, the offset operation is geometrically performed on the L1, and the offset distance is BC segment length, so that the curve L2 passing through the center C can be obtained.

7. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S6, the distance of shifting the S1 by one rafter diameter along the vertical direction is obtained, the S2 intersects with the vertical line passing through the M points at the P3 point, the P2 is the tail end definition point after tilting the rafter, the line on the upper surface of the rafter can be obtained by connecting the P3 and the P2, and the straight line S3 to the P4 point can be extended through the flat-out of the rafter and the sparrow size, so that the end point of the rafter is obtained.

8. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S7, the rafters are parallelogram shapes which are continuously changed due to the special shape of the tilted rafters, so that the positioning lines of the left side wall and the right side wall of the tilted rafters are independently obtained, and then the lofting operation is performed.

9. The official building wing angle parameterization modeling method of claim 1, wherein: in step S7, it is determined whether the cut-out portion is a portion to be reserved or a portion to be deleted by the normal line of the plane.

10. The official building wing angle parameterization modeling method of claim 1, wherein: in the step S7, a judgment of the normal direction is made first, and if the X value of the normal direction decomposition is negative, the normal direction is reversed.