CN113779678A - Rib-ring-shaped cable dome structure parametric modeling method based on Grasshopper - Google Patents
Rib-ring-shaped cable dome structure parametric modeling method based on Grasshopper Download PDFInfo
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Abstract
The invention discloses a method for parametrizing and modeling a rib-ring-shaped cable dome structure based on Grasshopper, which comprises the following steps: obtaining a building surface three-dimensional model of a rib ring-shaped cable dome structure to be built; determining geometric and type control parameters of the cable dome structure, and representing each parameter by using an input arithmetic unit; calling a packaged rib ring type single support rod node model generation arithmetic unit, a rib ring type double support rod node model generation arithmetic unit or a rib ring type four support rod node model generation arithmetic unit based on input parameters; and forming a corresponding cable dome structure three-dimensional model by utilizing a rib-ring type single stay rod wire frame model generation arithmetic unit, a rib-ring type double stay rod wire frame model generation arithmetic unit or a rib-ring type four stay rod wire frame model generation arithmetic unit based on the generated node model and the input parameters. The method can quickly generate three-dimensional models of different cable dome structures, greatly improves the modeling efficiency, and provides great convenience for scheme selection, stress analysis and design optimization of the rib ring type cable dome structure.
Description
Technical Field
The invention belongs to the technical field of building structures, and particularly relates to a method for parametrizing and modeling a rib-ring-shaped cable dome structure system based on Grasshopper.
Background
With the rise of large public buildings such as various stadiums, structural engineers continuously propose a novel space structure form to meet the requirements of large-span buildings, and the cable dome structure is rapidly developed and widely applied by the characteristics of novel shape, reasonable stress and the like. The cable dome is an efficient and lightweight structure, and the earliest system was proposed and applied to practical engineering by the american engineer Geiger, and is called a rib-ring type cable dome structure system. Through continuous development, the form of the cable dome gradually turns from the traditional Fuller idea of tensioning the whole cable dome to a non-Fuller idea of multi-strut cable dome, and the cable dome can be roughly divided into three types, namely a rib ring type single strut, a rib ring type double strut and a rib ring type four strut, so that the form and the type of the cable dome structure are greatly enriched.
According to a general structural design flow, designers often manually establish a node three-dimensional model in analysis software to perform computational analysis, the modeling mode is very low in efficiency, and errors are easily generated when nodes and rods are excessive. And aiming at the multi-type cable dome structure under the rib ring type system, if multi-scheme selection in the design process is needed, the workload is doubled, and the feasibility of scheme selection is greatly reduced.
Disclosure of Invention
Aiming at the technical problems of low modeling efficiency, complexity and the like in the design process of the conventional rib-ring-shaped cable dome structure system, the invention provides a Grasshopper-based rib-ring-shaped cable dome structure system parametric modeling method, which can greatly improve the working efficiency.
In order to achieve the aim, the invention provides a method for parametrizing and modeling a rib-ring-type cable dome structural system based on Grasshopper, which comprises the following steps:
obtaining a building surface three-dimensional model of a rib ring-shaped cable dome structure system to be built;
determining geometric and type control parameters of the cable dome structure, and representing the geometric and type control parameters by using corresponding input arithmetic units;
calling a packaged rib ring type single support rod node model generation arithmetic device, a rib ring type double support rod node model generation arithmetic device or a rib ring type four support rod node model generation arithmetic device to generate a corresponding node model based on input geometric and type control parameters;
and based on the generated node model and the input geometric and type control parameters, forming a corresponding cable dome structure three-dimensional model by using a rib ring type single-strut wire frame model generation arithmetic unit, a rib ring type double-strut wire frame model generation arithmetic unit or a rib ring type four-strut wire frame model generation arithmetic unit.
In some alternative embodiments, the method for generating the rib-ring-type single-strut node model by the rib-ring-type single-strut node model generation arithmetic unit comprises:
obtaining an outermost contour line of the curved surface S according to the curved surface S of the building surface, and projecting the outermost contour line to an XY plane to obtain a projection line C;
taking the center point of the projection line C as a circle center to be used as a circle with a radius of any value, taking N1 first equally dividing points of the circle, taking the value of N1 as a parameter input by the circumferential equal division, and taking the center point of the circle as a starting point to take a ray in the direction of each first equally dividing point;
intercepting rays by using the projection line C to obtain line segments positioned in the range of the projection line C, taking N2 second bisector points of each line segment, wherein the value of N2 is a parameter input by a radial bisector, and performing matrix transposition on a list formed by the obtained second bisector points to obtain a point list P;
projecting the point list P onto a curved surface S of the building surface skin, and finally sequencing according to a projection line C to obtain ordered upper nodes of the rib ring type single supporting rods;
grouping the point lists P in pairs, then connecting two points in each group to form a plurality of line segments, and obtaining a point on each line segment through a position parameter to obtain a lower node positioning point in a general form;
deleting the last column of data by the point list P to obtain a lower node locating point in a special form;
the method comprises the steps of controlling a Stream Filter arithmetic unit through Boolean parameters, selecting lower node positioning points in a general form or a special form, projecting the corresponding lower node positioning points to a building surface curved surface S, controlling the distance of downward movement of the points through the parameter of the structural height, and finally sequencing according to a projection line C to obtain ordered rib ring type single-strut lower nodes.
In some alternative embodiments, the method for generating the rib-ring type single strut wire frame model by using the rib-ring type single strut wire frame model generation arithmetic unit comprises the following steps:
connecting the upper nodes of the ordered rib ring type single supporting rods point by point to obtain a closed broken line, extracting the broken line of the innermost ring, and dividing the upper nodes corresponding to the broken line of the innermost ring into a plurality of straight line segments to obtain an upper inner ring cable model;
connecting the upper nodes of the ordered rib ring type single supporting rods point by point to obtain closed folding lines, extracting the folding line of the outermost ring, and dividing the upper nodes corresponding to the folding line of the outermost ring into a plurality of straight line segments to obtain a ring beam model;
after matrix transformation is carried out on the ordered rib ring type single stay bar upper node list, the rib ring type single stay bar upper node list is connected point by point and is divided into a plurality of straight line segments according to the nodes to obtain a ridge cable model;
carrying out data processing on the ordered upper nodes of the rib-ring-shaped single supporting rods and the list of the lower nodes of the rib-ring-shaped single supporting rods, connecting the upper nodes and the lower nodes in alignment to generate a supporting rod model, and connecting the upper nodes and the lower nodes in dislocation to generate an inclined cable model;
and connecting the lower nodes of the ordered rib ring type single supporting rods point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain a lower ring cable model.
In some alternative embodiments, the method for generating the rib ring type dual strut node model by the rib ring type dual strut node model generation operator comprises:
obtaining an outermost contour line of the curved surface S according to the curved surface S of the building surface, and projecting the outermost contour line to an XY plane to obtain a projection line C;
taking the center point of the projection line C as a circle center to be used as a circle with a radius of any value, taking N1 first equally dividing points of the circle, taking the value of N1 as a parameter input by the circumferential equal division, and taking the center point of the circle as a starting point to take a ray in the direction of each first equally dividing point;
intercepting rays by using the projection line C to obtain line segments positioned in the range of the projection line C, taking N2 second bisector points of each line segment, wherein the value of N2 is a parameter input by a radial bisector, and performing matrix transposition on a list formed by the obtained second bisector points to obtain a point list P;
projecting the point list P onto a curved surface S of the building surface skin, and finally sequencing according to a projection line C to obtain ordered upper nodes of the rib ring type double supporting rods;
the point list P deletes the last row of data and the first row of data respectively, combines two groups of deleted lists by using a Weave arithmetic unit, connects and breaks points in the combined list one by one to form a plurality of line segments, takes the middle points of the line segments to form a new point list, transposes the new point list, regroups the points according to a plurality of data groups, connects two points in each group to form a plurality of line segments, obtains one point on each line segment through position parameters, and obtains a lower node positioning point in a general form;
deleting the last row of data by the point list P, connecting the rest points into a plurality of curves, solving the external polygons of the curves, wherein the vertexes of the obtained external polygons are lower node positioning points in special forms;
the method comprises the steps of controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a general lower node positioning point or a special lower node positioning point, projecting the corresponding lower node positioning point onto a building surface curved surface S, controlling the distance of downward movement of the points through the parameter of the structural height, and finally sequencing according to a projection line C to obtain the ordered rib ring type double-strut lower node.
In some optional embodiments, the method for generating the circumscribed polygon of the curve is: taking N equal division points of the original curve, utilizing an analysis arithmetic unit to obtain the tangential directions of the original curve on the points, taking the equal division points as starting points, respectively making rays in the tangential directions and the opposite directions, and taking a polygon enclosed by all the lines as an external polygon of the curve.
In some alternative embodiments, the method for generating the rib-ring-type dual-strut wire frame model by using the rib-ring-type dual-strut wire frame model generation operator comprises:
connecting the upper nodes of the ordered rib ring type double-stay bars point by point to obtain a closed broken line, extracting the broken line of the innermost ring, and dividing the upper nodes corresponding to the broken line of the innermost ring into a plurality of straight line segments to obtain an upper inner ring cable model;
connecting the upper nodes of the ordered rib-ring-shaped double-stay bars point by point to obtain closed broken lines, extracting the broken lines of the outermost ring, and dividing the upper nodes corresponding to the broken lines of the outermost ring into a plurality of straight line segments to obtain a ring beam model;
after matrix transformation is carried out on the ordered rib ring type double-stay-bar upper node list, the rib ring type double-stay-bar upper node list is connected point by point and is divided into a plurality of straight line segments according to nodes to obtain a ridge cable model;
grouping the ordered upper nodes of the rib-ring-shaped double-supporting rods pairwise, combining the first row point of each group with the ordered lower nodes of the rib-ring-shaped double-supporting rods by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as supporting rod models;
combining the second row point of each group with the ordered rib ring type double-stay-bar lower nodes by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as a strongback model;
and connecting the lower nodes of the ordered rib ring type double-stay bars point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain a lower ring cable model.
In some alternative embodiments, the method for generating the rib-ring-type four-strut node model by the rib-ring-type four-strut node model generation operator comprises:
obtaining an outermost contour line of the curved surface S according to the curved surface S of the building surface, and projecting the outermost contour line to an XY plane to obtain a projection line C;
taking the center point of the projection line C as a circle center to be used as a circle with a radius of any value, taking N1 first equally dividing points of the circle, taking the value of N1 as a parameter input by the circumferential equal division, and taking the center point of the circle as a starting point to take a ray in the direction of each first equally dividing point;
intercepting rays by using the projection line C to obtain line segments positioned in the range of the projection line C, taking N2 second bisector points of each line segment, wherein the value of N2 is a parameter input by a radial bisector, and performing matrix transposition on a list formed by the obtained second bisector points to obtain a point list P;
projecting the point list P onto a curved surface S of the building surface skin, and finally sequencing according to a projection line C to obtain ordered upper nodes of the rib ring type four-brace rods;
copying and adding the point list P to obtain a new point list, connecting and breaking points in the new point list one by one to form a plurality of line segments, taking the middle points of the line segments to form the new point list again, transposing the new point list obtained again, regrouping the new point list according to 3 data groups, connecting 3 points in each group to form a plurality of line segments, obtaining one point on each line segment through position parameters, and obtaining a lower node positioning point in a general form;
connecting the points in the point list P one by one to form a plurality of closed broken lines, extracting corresponding broken lines by using a dispatch operator according to the rules of False and True, breaking the broken lines at the vertex position to generate a plurality of straight line segments, and taking the middle point of each straight line segment to obtain a lower node positioning point in a special form;
the method comprises the steps of controlling a Stream Filter arithmetic unit through Boolean parameters, selecting lower node positioning points in a general form or a special form, projecting the corresponding lower node positioning points to a building surface curved surface S, controlling the distance of downward movement of the points through the parameter of the structural height, and finally sequencing according to a projection line C to obtain ordered rib ring type four-strut lower nodes.
In some optional embodiments, the performing a copy addition operation on the point list P to obtain a new point list includes:
acquiring the length L of the point list P by using a Tree Statistics arithmetic unit; creating a first target number sequence with the initial value of 3, the interval of 2 and the number of L, comparing each numerical value in the first target number sequence with L, and if the numerical value is smaller than L, extracting the numerical value and subtracting 1 to form a new numerical value list;
extracting data at a corresponding position in the point List P by using a List Item arithmetic unit and taking each numerical value in the new numerical value List as an index number; and inserting the extracted data into the point list P according to the index number by using an Insert Items arithmetic unit to obtain a new point list obtained by copying and adding operation.
In some alternative embodiments, the method for generating the rib ring type quadri-strut wire frame model by the rib ring type quadri-strut wire frame model generation arithmetic unit comprises the following steps:
connecting the upper nodes of the ordered rib ring type four-brace rods point by point to obtain a closed broken line, extracting the broken line of the innermost ring, and dividing the upper nodes corresponding to the broken line of the innermost ring into a plurality of straight line segments to obtain an upper inner ring cable model;
connecting the upper nodes of the ordered rib ring type four-brace rods point by point to obtain closed broken lines, extracting the broken lines of the outermost ring, and dividing the upper nodes corresponding to the broken lines of the outermost ring into a plurality of straight line segments to obtain a ring beam model;
after matrix transformation is carried out on the ordered rib ring type four-brace upper node list, the rib ring type four-brace upper node list is connected point by point and is divided into a plurality of straight line segments according to the nodes to obtain a ridge cable model;
copying and adding the upper nodes of the ordered rib-ring-shaped four-brace rods, regrouping the nodes according to a group of 3 data, combining the first row points and the second row points of each group with the lower nodes of the ordered rib-ring-shaped four-brace rods by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as a brace rod model;
combining the third row of each group with the lower nodes of the ordered rib ring type four-brace rods by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as a strongback model;
and connecting the lower nodes of the ordered rib ring type four-brace rods point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain a lower ring cable model.
In some optional embodiments, the performing a copy addition operation on the ordered rib-ring-shaped upper nodes of the four-brace rods includes:
obtaining the length M of an ordered rib ring type node list on the four-brace rod by using a Tree statics arithmetic unit; creating a second target number series with the initial value of 3, the interval of 2 and the number of M, comparing each numerical value in the second target number series with M, and if the numerical value is smaller than M, extracting the numerical value and subtracting 1 to form a new numerical value list;
extracting data at corresponding positions in the ordered rib ring type four-brace upper node List by using a List Item arithmetic unit and taking each numerical value in the new numerical value List as an index number; and inserting the extracted data into an ordered rib ring type four-brace upper node list according to the index number by using an Insert Items arithmetic unit to obtain a new point list obtained by copying and adding operation.
In general, compared with the prior art, the above technical solution contemplated by the present invention can achieve the following beneficial effects:
the invention integrates multiple types in the existing rib-ring type cable dome structure system, divides the modeling process into two parts of node modeling and wire frame modeling, writes and encapsulates a series of modeling operations through the visual programming function of Grasshopper, not only retains a certain degree of freedom of change, but also greatly simplifies the fussy modeling process; by combining the advantages of parametric modeling, the topological relation and the geometric dimension of the model can be modified through a few parameters, and the generated three-dimensional wire frame model is also easily introduced into analysis software for structural calculation, so that the modeling efficiency of the cable dome structure design is greatly improved, powerful technical support is provided for scheme selection at the initial stage of the structural design, and the use and development of the cable dome structure are promoted.
Drawings
FIG. 1 is a schematic flow chart of a method provided by an embodiment of the present invention;
FIG. 2 is a three-dimensional model of an architectural skin provided by an embodiment of the present invention;
fig. 3 is a program diagram for invoking an operator after autonomous encapsulation according to an embodiment of the present invention, where (a) is a complete program diagram, (b) is a node model generating an operator program diagram, and (c) is a wire frame model generating an operator program diagram;
fig. 4 is a diagram of a complete operator connection for generating a node model, (b) is a diagram of a complete operator connection for generating a wire-frame model, (c) is a perspective diagram for generating a node model, and (d) is a perspective diagram for generating a wire-frame model;
fig. 5 is a diagram of a complete operator connection for generating a node model, (b) is a diagram of a complete operator connection for generating a wire-frame model, (c) is a perspective diagram for generating a node model, and (d) is a perspective diagram for generating a wire-frame model;
fig. 6 is a diagram of a complete operator connection for generating a node model, (b) is a diagram of a complete operator connection for generating a wire-frame model, (c) is a perspective diagram for generating a node model, and (d) is a perspective diagram for generating a wire-frame model;
fig. 7 is a diagram of a complete operator connection for generating a polygon circumscribed by a curve, and (b) is a plan view of a polygon circumscribed by a curve, according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
In the present examples, "first", "second", etc. are used for distinguishing different objects, and are not used for describing a specific order or sequence.
The invention comprises three cable dome structure forms under the rib ring type system, and can rapidly generate three-dimensional models of different cable dome structures by selecting specific types and controlling various parameters, thereby greatly improving the modeling efficiency and providing great convenience for scheme selection, stress analysis and design optimization of the rib ring type system cable dome structure. The method takes Grasshopper visual programming plug-in based on the Rhino software as a platform, adopts the idea of parametric modeling, combs the logical relationship between the nodes and the members of the cable dome structure, can quickly construct different types of cable dome structure three-dimensional models by inputting and changing corresponding parameters, and then introduces the cable dome structure three-dimensional models into analysis software for subsequent computational analysis, thereby not only greatly improving the modeling efficiency and liberating the labor force and the productivity, but also providing reliable technical support for structure model selection in the scheme design stage. As shown in fig. 1, a method for parametrizing and modeling a rib-ring-type cable dome structural system based on Grasshopper comprises the following steps:
(1) obtaining a three-dimensional model of a building surface skin of a rib ring-shaped cable dome structure system to be built, as shown in fig. 2;
(2) determining geometric and type control parameters of the cable dome structure, and representing the geometric and type control parameters by using corresponding input arithmetic units;
wherein the geometric parameters comprise an annular equi-division number, a radial equi-division number, position parameters and a structural height; the type parameters comprise a rib ring type single stay bar, a rib ring type double stay bar and a rib ring type four stay bar; there is another parameter to control whether each type of special form is used. All parameters and the complete program diagram are shown in fig. 3 (a).
(3) Generating a cable dome upper node and a cable dome lower node by using an autonomous packaged node model generation arithmetic unit based on the input geometric and type control parameters, wherein the internal structure of the node model generation arithmetic unit is shown in FIG. 3 (b);
when the type is a rib ring type single support rod, the self-packaged rib ring type single support rod node model generation arithmetic unit is called, and the internal structure is as shown in fig. 4 (a). The method for generating the rib ring type single stay bar node model comprises the following steps: 1) obtaining the outermost circle contour line of the outer skin of the building, and projecting the outermost circle contour line to an XY plane to obtain the projection line of the contour line; 2) taking the center point of the projection line of the contour line as the center of a circle as a circle with radius as an arbitrary value, taking 8 first equally-divided points of the circle, taking the center of the circle as a starting point, and taking a ray in the direction of each first equally-divided point; 3) intercepting each ray by using the projection line of the contour line to obtain line segments positioned in the projection line range of the contour line, taking 2 second bisectors of each line segment, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list; 4) projecting the point list onto the building surface curved surface, and finally sequencing according to the projection line of the contour line to obtain ordered upper nodes of the rib ring type single supporting rods; 5) grouping the point lists in pairs, then connecting two points in each group to form a plurality of line segments, and obtaining one point on each line segment through position parameters to obtain a lower node positioning point in a general form; 6) deleting the last column of data by the point list to obtain a lower node positioning point in a special form; 7) controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a general or special form, projecting corresponding lower node positioning points to the building surface curved surface, controlling the distance of the points moving downwards through the parameter of the structural height, and finally sequencing according to the projection line of contour lines to obtain ordered rib ring type single-strut lower nodes. The generated node model is shown in fig. 4 (c).
When the type is a rib-ring type dual-strut, the self-packaged rib-ring type dual-strut node model generation arithmetic unit is called, and the internal structure thereof is as shown in fig. 5 (a). Except the generation method of the lower node positioning point, the other steps are consistent with those of the rib ring type single support rod. The method for generating the lower node positioning point comprises the following steps: the point list deletes the last row of data and the first row of data respectively, combines two groups of deleted lists by using a Weave arithmetic unit, connects and breaks points in the lists one by one to form a plurality of line segments, takes the middle points of the line segments to form a new point list, transposes the new point list, regroups the points according to 2 data groups, connects two points in each group to form a plurality of line segments, obtains one point on each line segment through position parameters, and obtains a lower node positioning point in a general form; and deleting the last column of data from the point list, connecting the rest points into a plurality of curves, solving the external polygons of the curves, wherein the vertexes of the obtained external polygons are the lower node positioning points in special forms. The generated node model is shown in fig. 5 (c).
The method for determining the curve circumscribing the polygon is shown in fig. 7 (a): taking 8 bisectors of the original curve, calculating the tangent direction of the original curve at these points by using a derivitives operator, taking the bisectors as starting points, and making rays in the tangent direction and the opposite direction, wherein a polygon formed by all the lines is a circumscribed polygon of the curve, as shown in fig. 7 (b).
When the type is a rib-ring type four-brace node model generation arithmetic unit, the self-packaged rib-ring type four-brace node model generation arithmetic unit is called, and the internal structure is shown in fig. 6 (a). Except the generation method of the lower node positioning point, the other steps are consistent with those of the rib ring type single support rod. The method for generating the lower node positioning point comprises the following steps: copying and adding the point list to obtain a new point list, connecting and breaking points in the new point list one by one to form a plurality of line segments, taking the middle points of the line segments to form the new point list again, transposing the new point list obtained again, regrouping the new point list according to 3 data groups, connecting three points in each group to form a plurality of line segments, and obtaining one point on each line segment through position parameters to obtain a lower node positioning point in a general form; and connecting the points in the point list one by one to form a plurality of closed broken lines, extracting corresponding broken lines by using a dispatch operator according to the rule of 'False' and 'True', breaking the broken lines at the vertex positions to generate a plurality of straight line segments, and taking the midpoint of each straight line segment to obtain a lower node positioning point in a special form. The generated node model is shown in fig. 6 (c).
Wherein, the copy adding operation specifically comprises: acquiring the length L of an original data list by using a Tree Statistics arithmetic unit; establishing a number series with an initial value of 3, an interval of 2 and a number of L, comparing each numerical value in the number series with L, and if the numerical value is smaller than L, extracting the numerical value and subtracting 1 to form a new numerical value list; extracting data at corresponding positions in the original data List by using a List Item arithmetic unit and taking each numerical value in the new numerical value List as an index number; and inserting the extracted data into the original data list according to the index number by using an Insert Items arithmetic unit to obtain a new data list after the copy addition operation.
(4) Generating a cable dome three-dimensional model by utilizing an autonomous encapsulated wire frame model generation arithmetic unit based on the generated node model and the input geometric and type control parameters, wherein the internal structure of the wire frame model generation arithmetic unit is shown as a figure 3 (c);
when the type is a rib ring type single support rod, the self-packaged rib ring type single support rod wire frame model generation arithmetic unit is called, and the internal structure is shown as fig. 4 (b). The method for generating the rib ring type single-stay-bar wire frame model comprises the following steps: 1) connecting the ordered upper nodes point by point to obtain a closed broken line, extracting the broken line of the innermost circle, and dividing the upper nodes corresponding to the broken line of the innermost circle into a plurality of straight line segments to obtain an upper inner ring cable model; 2) connecting the ordered upper nodes point by point to obtain a closed broken line, extracting the broken line of the outermost circle, and dividing the upper nodes corresponding to the broken line of the outermost circle into a plurality of straight line segments to obtain a ring beam model; 3) after matrix transfer is carried out on the ordered upper node list, the upper node list is connected point by point and is divided into a plurality of straight line segments according to the nodes, and a ridge cable model is obtained; 4) carrying out data processing on the ordered upper node list and the ordered lower node list, connecting the upper node and the lower node in an aligned position to generate a stay bar model, and connecting the upper node and the lower node in a staggered position to generate an inclined cable model; 5) and connecting the ordered lower nodes point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain the lower looped cable model. The generated wire frame model is shown in fig. 4 (d).
When the type is a rib-ring type dual-strut, the self-packaged rib-ring type dual-strut wire-frame model generation arithmetic unit is called, and the internal structure is as shown in fig. 5 (b). Except the generation method of the stay bar and the inclined cable, the other steps are consistent with those of a rib ring type single stay bar, and the generation method of the stay bar and the inclined cable is as follows: and (3) grouping the ordered upper nodes pairwise, combining the first row points of each group with the ordered lower nodes by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one to obtain line segments, namely the strut model, and processing the second row points by the same method to obtain the oblique cable model. The generated wire-frame model is shown in fig. 5 (d).
When the type is a rib-ring-shaped four-brace rod, the self-packaged rib-ring-shaped four-brace rod wire frame model generation arithmetic unit is called, and the internal structure is shown in fig. 6 (b). Except the generation method of the stay bar and the inclined cable, the other steps are consistent with those of a rib ring type single stay bar, and the generation method of the stay bar and the inclined cable is as follows: and copying and adding the ordered upper nodes, regrouping the ordered upper nodes according to a group of 3 data, combining the first row points and the second row points of each group with the ordered lower nodes by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one to obtain a plurality of line segments which are the strut models, and processing the third row points by using the same method to obtain the oblique cable model. The generated wire frame model is shown in fig. 6 (d).
It should be noted that, according to the implementation requirement, each step/component described in the present application can be divided into more steps/components, and two or more steps/components or partial operations of the steps/components can be combined into new steps/components to achieve the purpose of the present invention.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (10)
1. A rib-ring-shaped cable dome structure system parametric modeling method based on Grasshopper is characterized by comprising the following steps:
obtaining a building surface three-dimensional model of a rib ring-shaped cable dome structure system to be built;
determining geometric and type control parameters of the cable dome structure, and representing the geometric and type control parameters by using corresponding input arithmetic units;
calling a packaged rib ring type single support rod node model generation arithmetic device, a rib ring type double support rod node model generation arithmetic device or a rib ring type four support rod node model generation arithmetic device to generate a corresponding node model based on input geometric and type control parameters;
and based on the generated node model and the input geometric and type control parameters, forming a corresponding cable dome structure three-dimensional model by using a rib ring type single-strut wire frame model generation arithmetic unit, a rib ring type double-strut wire frame model generation arithmetic unit or a rib ring type four-strut wire frame model generation arithmetic unit.
2. The method according to claim 1, wherein the method for generating the rib-ring type single strut node model by the rib-ring type single strut node model generation operator comprises:
obtaining an outermost contour line of the curved surface S according to the curved surface S of the building surface, and projecting the outermost contour line to an XY plane to obtain a projection line C;
taking the center point of the projection line C as a circle center to be used as a circle with a radius of any value, taking N1 first equally dividing points of the circle, taking the value of N1 as a parameter input by the circumferential equal division, and taking the center point of the circle as a starting point to take a ray in the direction of each first equally dividing point;
intercepting rays by using the projection line C to obtain line segments positioned in the range of the projection line C, taking N2 second bisector points of each line segment, wherein the value of N2 is a parameter input by a radial bisector, and performing matrix transposition on a list formed by the obtained second bisector points to obtain a point list P;
projecting the point list P onto a curved surface S of the building surface skin, and finally sequencing according to a projection line C to obtain ordered upper nodes of the rib ring type single supporting rods;
grouping the point lists P in pairs, then connecting two points in each group to form a plurality of line segments, and obtaining a point on each line segment through a position parameter to obtain a lower node positioning point in a general form;
deleting the last column of data by the point list P to obtain a lower node locating point in a special form;
the method comprises the steps of controlling a Stream Filter arithmetic unit through Boolean parameters, selecting lower node positioning points in a general form or a special form, projecting the corresponding lower node positioning points to a building surface curved surface S, controlling the distance of downward movement of the points through the parameter of the structural height, and finally sequencing according to a projection line C to obtain ordered rib ring type single-strut lower nodes.
3. The method of claim 2, wherein the method for generating the rib-ring type single strut wire frame model by using the rib-ring type single strut wire frame model generation arithmetic unit comprises:
connecting the upper nodes of the ordered rib ring type single supporting rods point by point to obtain a closed broken line, extracting the broken line of the innermost ring, and dividing the upper nodes corresponding to the broken line of the innermost ring into a plurality of straight line segments to obtain an upper inner ring cable model;
connecting the upper nodes of the ordered rib ring type single supporting rods point by point to obtain closed folding lines, extracting the folding line of the outermost ring, and dividing the upper nodes corresponding to the folding line of the outermost ring into a plurality of straight line segments to obtain a ring beam model;
after matrix transformation is carried out on the ordered rib ring type single stay bar upper node list, the rib ring type single stay bar upper node list is connected point by point and is divided into a plurality of straight line segments according to the nodes to obtain a ridge cable model;
carrying out data processing on the ordered upper nodes of the rib-ring-shaped single supporting rods and the list of the lower nodes of the rib-ring-shaped single supporting rods, connecting the upper nodes and the lower nodes in alignment to generate a supporting rod model, and connecting the upper nodes and the lower nodes in dislocation to generate an inclined cable model;
and connecting the lower nodes of the ordered rib ring type single supporting rods point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain a lower ring cable model.
4. The method according to claim 1, wherein the method of generating the rib-ring type dual strut node model by the rib-ring type dual strut node model generation operator comprises:
obtaining an outermost contour line of the curved surface S according to the curved surface S of the building surface, and projecting the outermost contour line to an XY plane to obtain a projection line C;
taking the center point of the projection line C as a circle center to be used as a circle with a radius of any value, taking N1 first equally dividing points of the circle, taking the value of N1 as a parameter input by the circumferential equal division, and taking the center point of the circle as a starting point to take a ray in the direction of each first equally dividing point;
intercepting rays by using the projection line C to obtain line segments positioned in the range of the projection line C, taking N2 second bisector points of each line segment, wherein the value of N2 is a parameter input by a radial bisector, and performing matrix transposition on a list formed by the obtained second bisector points to obtain a point list P;
projecting the point list P onto a curved surface S of the building surface skin, and finally sequencing according to a projection line C to obtain ordered upper nodes of the rib ring type double supporting rods;
the point list P deletes the last row of data and the first row of data respectively, combines two groups of deleted lists by using a Weave arithmetic unit, connects and breaks points in the combined list one by one to form a plurality of line segments, takes the middle points of the line segments to form a new point list, transposes the new point list, regroups the points according to a plurality of data groups, connects two points in each group to form a plurality of line segments, obtains one point on each line segment through position parameters, and obtains a lower node positioning point in a general form;
deleting the last row of data by the point list P, connecting the rest points into a plurality of curves, solving the external polygons of the curves, wherein the vertexes of the obtained external polygons are lower node positioning points in special forms;
the method comprises the steps of controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a general lower node positioning point or a special lower node positioning point, projecting the corresponding lower node positioning point onto a building surface curved surface S, controlling the distance of downward movement of the points through the parameter of the structural height, and finally sequencing according to a projection line C to obtain the ordered rib ring type double-strut lower node.
5. The method according to claim 4, wherein the method for generating the circumscribed polygon of the curve is: taking N equal division points of the original curve, utilizing an analysis arithmetic unit to obtain the tangential directions of the original curve on the points, taking the equal division points as starting points, respectively making rays in the tangential directions and the opposite directions, and taking a polygon enclosed by all the lines as an external polygon of the curve.
6. The method of claim 5, wherein the method of generating the rib-ring-type double-strut wire frame model using the rib-ring-type double-strut wire frame model generation operator comprises:
connecting the upper nodes of the ordered rib ring type double-stay bars point by point to obtain a closed broken line, extracting the broken line of the innermost ring, and dividing the upper nodes corresponding to the broken line of the innermost ring into a plurality of straight line segments to obtain an upper inner ring cable model;
connecting the upper nodes of the ordered rib-ring-shaped double-stay bars point by point to obtain closed broken lines, extracting the broken lines of the outermost ring, and dividing the upper nodes corresponding to the broken lines of the outermost ring into a plurality of straight line segments to obtain a ring beam model;
after matrix transformation is carried out on the ordered rib ring type double-stay-bar upper node list, the rib ring type double-stay-bar upper node list is connected point by point and is divided into a plurality of straight line segments according to nodes to obtain a ridge cable model;
grouping the ordered upper nodes of the rib-ring-shaped double-supporting rods pairwise, combining the first row point of each group with the ordered lower nodes of the rib-ring-shaped double-supporting rods by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as supporting rod models;
combining the second row point of each group with the ordered rib ring type double-stay-bar lower nodes by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as a strongback model;
and connecting the lower nodes of the ordered rib ring type double-stay bars point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain a lower ring cable model.
7. The method according to claim 1, wherein the method of generating the rib-ring type four-strut node model by the rib-ring type four-strut node model generation operator comprises:
obtaining an outermost contour line of the curved surface S according to the curved surface S of the building surface, and projecting the outermost contour line to an XY plane to obtain a projection line C;
taking the center point of the projection line C as a circle center to be used as a circle with a radius of any value, taking N1 first equally dividing points of the circle, taking the value of N1 as a parameter input by the circumferential equal division, and taking the center point of the circle as a starting point to take a ray in the direction of each first equally dividing point;
intercepting rays by using the projection line C to obtain line segments positioned in the range of the projection line C, taking N2 second bisector points of each line segment, wherein the value of N2 is a parameter input by a radial bisector, and performing matrix transposition on a list formed by the obtained second bisector points to obtain a point list P;
projecting the point list P onto a curved surface S of the building surface skin, and finally sequencing according to a projection line C to obtain ordered upper nodes of the rib ring type four-brace rods;
copying and adding the point list P to obtain a new point list, connecting and breaking points in the new point list one by one to form a plurality of line segments, taking the middle points of the line segments to form the new point list again, transposing the new point list obtained again, regrouping the new point list according to 3 data groups, connecting 3 points in each group to form a plurality of line segments, obtaining one point on each line segment through position parameters, and obtaining a lower node positioning point in a general form;
connecting the points in the point list P one by one to form a plurality of closed broken lines, extracting corresponding broken lines by using a dispatch operator according to the rules of False and True, breaking the broken lines at the vertex position to generate a plurality of straight line segments, and taking the middle point of each straight line segment to obtain a lower node positioning point in a special form;
the method comprises the steps of controlling a Stream Filter arithmetic unit through Boolean parameters, selecting lower node positioning points in a general form or a special form, projecting the corresponding lower node positioning points to a building surface curved surface S, controlling the distance of downward movement of the points through the parameter of the structural height, and finally sequencing according to a projection line C to obtain ordered rib ring type four-strut lower nodes.
8. The method according to claim 7, wherein the performing a copy-add operation on the point list P to obtain a new point list comprises:
acquiring the length L of the point list P by using a Tree Statistics arithmetic unit; creating a first target number sequence with the initial value of 3, the interval of 2 and the number of L, comparing each numerical value in the first target number sequence with L, and if the numerical value is smaller than L, extracting the numerical value and subtracting 1 to form a new numerical value list;
extracting data at a corresponding position in the point List P by using a List Item arithmetic unit and taking each numerical value in the new numerical value List as an index number; and inserting the extracted data into the point list P according to the index number by using an Insert Items arithmetic unit to obtain a new point list obtained by copying and adding operation.
9. The method according to claim 7 or 8, wherein the method of generating the rib-ring-type quadri-strut wire frame model by the rib-ring-type quadri-strut wire frame model generation operator comprises:
connecting the upper nodes of the ordered rib ring type four-brace rods point by point to obtain a closed broken line, extracting the broken line of the innermost ring, and dividing the upper nodes corresponding to the broken line of the innermost ring into a plurality of straight line segments to obtain an upper inner ring cable model;
connecting the upper nodes of the ordered rib ring type four-brace rods point by point to obtain closed broken lines, extracting the broken lines of the outermost ring, and dividing the upper nodes corresponding to the broken lines of the outermost ring into a plurality of straight line segments to obtain a ring beam model;
after matrix transformation is carried out on the ordered rib ring type four-brace upper node list, the rib ring type four-brace upper node list is connected point by point and is divided into a plurality of straight line segments according to the nodes to obtain a ridge cable model;
copying and adding the upper nodes of the ordered rib-ring-shaped four-brace rods, regrouping the nodes according to a group of 3 data, combining the first row points and the second row points of each group with the lower nodes of the ordered rib-ring-shaped four-brace rods by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as a brace rod model;
combining the third row of each group with the lower nodes of the ordered rib ring type four-brace rods by using a Weave arithmetic unit to form a new point list, connecting and breaking the points in the new point list one by one, and obtaining a plurality of line segments as a strongback model;
and connecting the lower nodes of the ordered rib ring type four-brace rods point by point, and dividing the lower nodes into a plurality of straight line segments according to the nodes to obtain a lower ring cable model.
10. The method of claim 9, wherein the performing a copy-add operation on the ordered rib-ring type of upper nodes of the four-brace rods comprises:
obtaining the length M of an ordered rib ring type node list on the four-brace rod by using a Tree statics arithmetic unit; creating a second target number series with the initial value of 3, the interval of 2 and the number of M, comparing each numerical value in the second target number series with M, and if the numerical value is smaller than M, extracting the numerical value and subtracting 1 to form a new numerical value list;
extracting data at corresponding positions in the ordered rib ring type four-brace upper node List by using a List Item arithmetic unit and taking each numerical value in the new numerical value List as an index number; and inserting the extracted data into an ordered rib ring type four-brace upper node list according to the index number by using an Insert Items arithmetic unit to obtain a new point list obtained by copying and adding operation.
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