CN113779678B - Grasshopper-based rib ring type cable dome structure parameterized modeling method - Google Patents
Grasshopper-based rib ring type cable dome structure parameterized modeling method Download PDFInfo
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- G—PHYSICS
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- G06F30/00—Computer-aided design [CAD]
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- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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Abstract
The application discloses a rib ring type cable dome structure parameterized modeling method based on Grasshopper, which comprises the following steps: acquiring a three-dimensional model of a building epidermis of a rib ring type 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-brace-rod node model generating arithmetic unit or rib ring type double-brace-rod node model generating arithmetic unit or rib ring type four-brace-rod node model generating arithmetic unit based on input parameters; based on the generated node model and the input parameters, a rib ring type single-stay wire frame model generation arithmetic unit, a rib ring type double-stay wire frame model generation arithmetic unit or a rib ring type four-stay wire frame model generation arithmetic unit are utilized to form a corresponding cable dome structure three-dimensional model. The application can quickly generate three-dimensional models of different cable dome structures, greatly improves modeling efficiency, and provides great convenience for scheme comparison selection, stress analysis and design optimization of rib ring-shaped rope dome structures.
Description
Technical Field
The application belongs to the technical field of building structures, and particularly relates to a rib ring type cable dome structure system parameterized modeling method based on a Grasshopper.
Background
With the rise of large-scale public buildings such as various stadiums, structural engineers continuously propose novel space structural forms to meet the requirements of large-span buildings, wherein the cable dome structure is rapidly developed and widely applied with the characteristics of novel structure, reasonable stress and the like. The cable dome is an efficient and lightweight structure, and the earliest system is proposed by the American engineer Geiger and applied to practical engineering, namely a rib ring type cable dome structure system. Through continuous development, the form of the cable dome is gradually changed from a traditional Fuller idea tensioning integral cable-like dome to a non-Fuller idea multi-strut cable-like dome, and the cable-like dome can be divided into three types of rib ring type single struts, rib ring type double struts and rib ring type four struts, so that the structural form and the structural type of the cable-like dome are greatly enriched.
According to the general structural design flow, a designer usually manually builds a node three-dimensional model in analysis software to perform calculation analysis, and the modeling mode is quite low in efficiency and easy to generate errors when the number of nodes and rods is too large. And aiming at the multi-type cable dome structure under the rib ring system, if the multi-scheme comparison in the design process is needed, the workload is doubled, and the feasibility of scheme comparison is greatly reduced.
Disclosure of Invention
Aiming at the technical problems of low modeling efficiency, complexity and the like in the existing rib ring type cable dome structure system design flow, the application provides a rib ring type cable dome structure system parameterized modeling method based on Grasshopper, which can greatly improve the working efficiency.
In order to achieve the above purpose, the application provides a rib ring type cable dome structure system parameterized modeling method based on Grasshopper, which comprises the following steps:
obtaining a three-dimensional model of a building epidermis of a rib ring type cable dome structure system to be built;
determining geometric and type control parameters of the cable dome structure, and representing each geometric and type control parameter by using a corresponding input arithmetic unit;
calling a packaged rib ring type single-brace-rod node model generating arithmetic unit, a rib ring type double-brace-rod node model generating arithmetic unit or a rib ring type four-brace-rod node model generating arithmetic unit to generate a corresponding node model based on input geometric and type control parameters;
based on the generated node model and the input geometric and type control parameters, a rib ring type single-stay wire frame model generation arithmetic unit, a rib ring type double-stay wire frame model generation arithmetic unit or a rib ring type four-stay wire frame model generation arithmetic unit are used to form a corresponding cable dome structure three-dimensional model.
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 generating arithmetic unit comprises the following steps:
according to the curved surface S of the building skin, an outermost ring contour line of the curved surface S is obtained, and the outermost ring contour line is projected to an XY plane to obtain a projection line C;
taking the center point of the projection line C as the center of a circle with any radius, taking N1 first equal points of the circle, wherein the value of N1 is a parameter input by the annular equal points, and taking the center point of the circle as the starting point, and taking a ray in the direction of each first equal point;
intercepting rays by using a projection line C to obtain line segments in the range of the projection line C, taking N2 second bisectors of each line segment, wherein the value of N2 is a parameter input by a radial equal score, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list P;
projecting the point list P onto the curved surface S of the building skin, and finally sequencing according to projection lines C to obtain ordered rib ring type single stay bar upper nodes;
the point list P is grouped in pairs, then two points of each group are connected to form a plurality of line segments, and one point on each line segment is obtained through the position parameters to obtain a lower node locating 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;
and controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a lower node locating point in a general form or a lower node locating point in a special form, projecting the corresponding lower node locating point onto a curved surface S of the building skin, controlling the downward moving distance of the points through the parameter of the structure height, and finally sequencing according to a projection line C to obtain the ordered rib ring type single-brace lower node.
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 generating arithmetic unit comprises the following steps:
the upper nodes of the orderly rib ring type single stay bar are connected point by point to obtain closed fold lines, the fold lines of the innermost ring are extracted, and the upper node corresponding to the fold lines of the innermost ring is divided into a plurality of straight line segments to obtain an upper inner ring cable model;
the upper nodes of the ordered rib ring type single stay bar are connected point by point to obtain closed fold lines, the fold lines of the outermost ring are extracted, and the upper nodes corresponding to the fold lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model;
after the matrix transposition is carried out on the ordered rib ring type single support rod upper node list, the node list is connected point by point and is divided into a plurality of straight line segments according to the nodes, and a spinal model is obtained;
carrying out data processing on the ordered rib ring type single support rod upper nodes and the rib ring type single support rod lower node list, connecting the upper and lower nodes to generate a support rod model, and connecting the upper and lower nodes to generate a diagonal cable model;
the lower nodes of the orderly rib ring type single stay bar are connected point by point and are divided into a plurality of straight line segments according to the nodes, and a lower ring cable model is obtained.
In some alternative embodiments, the method for generating the rib ring type double-brace node model by the rib ring type double-brace node model generating arithmetic unit comprises the following steps:
according to the curved surface S of the building skin, an outermost ring contour line of the curved surface S is obtained, and the outermost ring contour line is projected to an XY plane to obtain a projection line C;
taking the center point of the projection line C as the center of a circle with any radius, taking N1 first equal points of the circle, wherein the value of N1 is a parameter input by the annular equal points, and taking the center point of the circle as the starting point, and taking a ray in the direction of each first equal point;
intercepting rays by using a projection line C to obtain line segments in the range of the projection line C, taking N2 second bisectors of each line segment, wherein the value of N2 is a parameter input by a radial equal score, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list P;
projecting the point list P onto the curved surface S of the building skin, and finally sequencing according to projection lines C to obtain ordered rib ring type double-brace upper nodes;
the method comprises the steps of deleting a last column of data and a first column of data respectively, combining the deleted two groups of lists by using a Weave operator, connecting and breaking points in the combined list one by one to form a plurality of line segments, taking midpoints of the line segments to form a new point list, transposing the new point list, then grouping again according to a plurality of data groups, connecting two points in each group to form a plurality of line segments, and obtaining one point on each line segment by using position parameters to obtain a lower node locating point in a general form;
deleting the last column 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 a special form;
and controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a lower node locating point in a general form or a lower node locating point in a special form, projecting the corresponding lower node locating point onto a curved surface S of the building skin, controlling the downward moving distance of the points through the parameter of the structure height, and finally sequencing according to a projection line C to obtain the ordered rib ring type double-brace lower node.
In some alternative embodiments, the method for generating the circumscribing polygon of the curve is: the method is characterized in that the equal points of the original curve N are taken, the analysis arithmetic unit is used for obtaining the tangential directions of the original curve on the points, the equal points are taken as starting points, rays are respectively taken in the directions opposite to the tangential directions, and the polygon enclosed by all the lines is the external polygon of the curve.
In some alternative embodiments, the method for generating the rib ring type double-brace wire frame model by using the rib ring type double-brace wire frame model generating arithmetic unit comprises the following steps:
the upper nodes of the ordered rib ring type double support rods are connected point by point to obtain closed fold lines, the fold lines of the innermost ring are extracted, and the upper node corresponding to the fold lines of the innermost ring is divided into a plurality of straight line segments to obtain an upper inner ring cable model;
the upper nodes of the ordered rib ring type double support rods are connected point by point to obtain closed fold lines, the fold lines of the outermost ring are extracted, and the upper nodes corresponding to the fold lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model;
after the matrix transposition is carried out on the ordered rib ring type double-brace upper node list, the node list is connected point by point and is divided into a plurality of straight line segments according to the nodes, and a spinal model is obtained;
the method comprises the steps of combining the upper nodes of the ordered rib ring type double stay bars in groups, combining the first row of points of each group with the lower nodes of the ordered rib ring type double stay bars 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 stay bar model;
combining the second row of points of each group with the lower nodes of the ordered rib ring type double 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 which are a diagonal model;
the lower nodes of the orderly rib ring type double stay bars are connected point by point and are divided into a plurality of straight line segments according to the nodes, and a lower ring cable model is obtained.
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 generating arithmetic unit comprises the following steps:
according to the curved surface S of the building skin, an outermost ring contour line of the curved surface S is obtained, and the outermost ring contour line is projected to an XY plane to obtain a projection line C;
taking the center point of the projection line C as the center of a circle with any radius, taking N1 first equal points of the circle, wherein the value of N1 is a parameter input by the annular equal points, and taking the center point of the circle as the starting point, and taking a ray in the direction of each first equal point;
intercepting rays by using a projection line C to obtain line segments in the range of the projection line C, taking N2 second bisectors of each line segment, wherein the value of N2 is a parameter input by a radial equal score, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list P;
projecting the point list P onto a curved surface S of the building skin, and finally sequencing according to projection lines C to obtain ordered rib ring type four-stay bar upper nodes;
the method comprises the steps of performing copy adding operation on a 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 midpoints of the line segments to form a new point list again, transposing the new point list obtained again, regrouping according to 3 data groups, connecting the 3 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 locating point in a general form;
the points in the point list P are connected one by one to form a plurality of closed broken lines, a dispatch arithmetic unit is utilized to extract corresponding broken lines according to rules of False and True, the broken lines are broken at the vertex positions to generate a plurality of straight line segments, and the middle point of each straight line segment is taken to obtain a lower node locating point in a special form;
and controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a lower node locating point in a general form or a lower node locating point in a special form, projecting the corresponding lower node locating point onto a curved surface S of the building skin, controlling the downward moving distance of the points through the parameter of the structure height, and finally sequencing according to a projection line C to obtain the ordered rib ring type four-brace lower node.
In some alternative embodiments, the performing the copy-add operation on the point list P results in a new point list, including:
acquiring the length L of the point list P by using a Tree Statistics arithmetic unit; creating a first target sequence with a starting value of 3, an interval of 2 and a number of L, comparing each numerical value in the first target 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 of a corresponding position in the point List P by using each numerical value in the new numerical value List as an index number by using a List Item arithmetic unit; and inserting the extracted data into the point list P according to the index number by utilizing an Insert Items arithmetic unit to obtain a new point list obtained by the copy and add operation.
In some alternative embodiments, the method of generating the rib ring type four-strut wire frame model by the rib ring type four-strut wire frame model generating operator is:
the upper nodes of the ordered rib ring type four support rods are connected point by point to obtain closed fold lines, the fold lines of the innermost ring are extracted, and the upper fold lines are divided into a plurality of straight line segments according to the upper nodes corresponding to the fold lines of the innermost ring to obtain an upper inner ring cable model;
the upper nodes of the ordered rib ring type four support rods are connected point by point to obtain closed fold lines, the fold lines of the outermost ring are extracted, and the upper nodes corresponding to the fold lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model;
after the matrix transposition is carried out on the ordered rib ring type four-strut upper node list, the node lists are connected point by point and are divided into a plurality of straight line segments according to the nodes, and a spinal model is obtained;
performing copying and adding operation on the upper nodes of the ordered rib ring type four-brace bars, then regrouping according to a group of 3 data, respectively combining the first row points and the second row points of each group with the lower nodes of the ordered rib ring type four-brace bars 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 brace bar models;
combining the third row of points 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 which are a diagonal model;
the lower nodes of the ordered rib ring type four-stay bar are connected point by point and are divided into a plurality of straight line segments according to the nodes, and a lower circumferential cable model is obtained.
In some alternative embodiments, the copying and adding operation to the ordered rib ring type four-strut upper node comprises the following steps:
acquiring the length M of a node list on the ordered rib ring type four-stay bar by using a Tree Statistics arithmetic unit; creating a second target sequence with a starting value of 3, an interval of 2 and a number of M, comparing each numerical value in the second target sequence 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 of corresponding positions in the node List on the ordered rib ring type four-brace rod by using a List Item arithmetic unit and taking each value in the new value List as an index number; and inserting the extracted data into an ordered rib ring type four-strut upper node list according to index numbers by utilizing an Insert Items arithmetic unit to obtain a new point list obtained by the copy and addition operation.
In general, the above technical solutions conceived by the present application, compared with the prior art, enable the following beneficial effects to be obtained:
the application synthesizes a plurality of types in the existing rib ring type cable dome structure system, splits 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 reserves a certain degree of freedom of modification, but also greatly simplifies the complicated 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, the generated three-dimensional wire frame model is also easy to be imported into analysis software for structural calculation, the modeling efficiency of the cable dome structure design is greatly improved, powerful technical support is provided for scheme comparison in the initial stage of the structure design, and the use and development of the cable dome structure are promoted.
Drawings
FIG. 1 is a schematic flow chart of a method according to an embodiment of the present application;
FIG. 2 is a three-dimensional model of a building skin provided by an embodiment of the present application;
FIG. 3 is a diagram of an autonomous packaged algorithm call provided in an embodiment of the present application, where (a) is a complete diagram, (b) generates an algorithm for a node model, and (c) generates an algorithm for a wire frame model;
FIG. 4 is a perspective view of a rib ring type single strut cable dome provided by an embodiment of the present application, wherein (a) a complete operator connection diagram for generating a node model, (b) a complete operator connection diagram for generating a wire frame model, (c) a perspective view for generating a node model, and (d) a perspective view for generating a wire frame model;
FIG. 5 is a perspective view of a rib ring type double strut cable dome according to an embodiment of the present application, wherein (a) a complete operator connection diagram for generating a node model, (b) a complete operator connection diagram for generating a wire frame model, (c) a perspective view for generating a node model, and (d) a perspective view for generating a wire frame model;
FIG. 6 is a perspective view of a rib ring type four-strut cable dome provided by an embodiment of the present application, wherein (a) a complete operator connection diagram for generating a node model, (b) a complete operator connection diagram for generating a wire frame model, (c) a perspective view for generating a node model, and (d) a perspective view for generating a wire frame model;
fig. 7 is a schematic diagram of a curve-bounding polygon according to an embodiment of the present application, in which (a) a complete operator connection diagram is generated for the curve-bounding polygon, and (b) a plan view is generated for the curve-bounding polygon.
Detailed Description
The present application will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present application more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the application. In addition, the technical features of the embodiments of the present application described below may be combined with each other as long as they do not collide with each other.
In the examples of the present application, "first," "second," etc. are used to distinguish between different objects, and are not used to describe a particular order or sequence.
The application comprises three cable dome structure forms under a rib ring type system, and can quickly generate three-dimensional models of different cable dome structures by selecting specific types and controlling various parameters, thereby greatly improving modeling efficiency and providing great convenience for scheme comparison, stress analysis and design optimization of the rib ring type cable dome structure. According to the application, the Grasshopper visual programming plug-in based on the Rhino software is taken as a platform, the idea of parametric modeling is adopted, the logical relationship between the nodes and the components of the cable dome structure is combed, three-dimensional models of different types of cable dome structures can be quickly constructed by inputting and changing corresponding parameters, and then the three-dimensional models are imported into analysis software for subsequent calculation and analysis, so that the modeling efficiency is greatly improved, the labor force and the productivity are liberated, and reliable technical support is provided for structural selection in the scheme design stage. As shown in fig. 1, a rib ring type cable dome structure system parameterized modeling method based on Grasshopper comprises the following steps:
(1) Acquiring a three-dimensional model of a building skin of a rib ring type 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 each geometric and type control parameter by using a corresponding input arithmetic unit;
wherein the geometric parameters comprise a circumferential equal fraction, a radial equal fraction, a position parameter and a structure height; the type parameters comprise rib ring type single stay bars, rib ring type double stay bars and rib ring type four stay bars; 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 Cheng Suo dome upper and lower nodes by utilizing an autonomously packaged node model generating arithmetic unit based on input geometric and type control parameters, wherein the internal structure of the node model generating arithmetic unit is shown in fig. 3 (b);
when the type is rib ring type single brace rod, calling the self-packaged rib ring type single brace rod node model to generate an arithmetic unit, wherein the internal structure of the arithmetic unit is shown in fig. 4 (a). The rib ring type single-stay bar node model generation method comprises the following steps: 1) Obtaining the outline of the outermost ring of the building outer skin, and projecting the outline to an XY plane to obtain a projection line of the outline; 2) Taking the center point of a projection line of the contour line as a circle center, taking 8 first equal-dividing points of the circle, taking the circle center of the circle as a starting point, and taking a ray in the direction of each first equal-dividing point; 3) Intercepting rays by utilizing projection lines of the contour lines to obtain line segments in the projection line range of the contour lines, 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 a curved surface of the building skin, and finally sequencing according to projection lines of contour lines to obtain ordered rib ring type single stay bar upper nodes; 5) Grouping the point list in pairs, connecting two points of 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 from the point list to obtain a lower node locating point in a special form; 7) And controlling a Stream Filter arithmetic unit through Boolean parameters, selecting a general or special form, projecting corresponding lower node positioning points onto a curved surface of the building skin, controlling the downward moving distance of the points through the parameter of the structure height, and finally sequencing according to projection lines of contour lines to obtain the ordered rib ring type single-brace lower nodes. The generated node model is shown in fig. 4 (c).
When the type is rib ring type double brace rod, calling the self-packaged rib ring type double brace rod node model to generate an arithmetic unit, wherein the internal structure of the arithmetic unit is shown in fig. 5 (a). Except for the generation method of the lower node positioning points, the rest steps are consistent with the rib ring type single stay bar. The method for generating the lower node positioning point comprises the following steps: the method comprises the steps of deleting a last column of data and a first column of data respectively, combining the deleted two groups of lists by using a Weave operator, connecting and breaking points in the lists one by one to form a plurality of line segments, taking midpoints of the line segments to form a new point list, transposing the new point list, then grouping again according to one group of 2 data, 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 locating point in a general form; the last column of data is deleted from the point list, the rest points are connected into a plurality of curves, the external polygons of the curves are obtained, and the vertexes of the obtained external polygons are the lower node locating points in a special form. The generated node model is shown in fig. 5 (c).
The method for obtaining the curve circumscribed polygon is as shown in fig. 7 (a): taking 8 equally divided points of the original curve, using a Derivatives arithmetic unit to obtain tangential directions of the original curve on the points, taking the equally divided points as starting points, respectively taking rays in opposite directions of the tangential directions, and taking all the polygons enclosed by the lines as external polygons of the curve, as shown in fig. 7 (b).
When the type is rib ring type four-brace rod, calling the self-packaged rib ring type four-brace rod node model to generate an arithmetic unit, wherein the internal structure of the arithmetic unit is shown in fig. 6 (a). Except for the generation method of the lower node positioning points, the rest steps are consistent with the rib ring type single stay bar. The method for generating the lower node positioning point comprises the following steps: the method comprises the steps of performing copy adding operation on a 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 midpoints of the line segments to form a new point list again, transposing the new point list obtained again, regrouping 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 locating point in a general form; the points in the point list are connected one by one to form a plurality of closed broken lines, the corresponding broken lines are extracted by using a dispatch arithmetic unit according to the rules of False and True, the broken lines are broken at the vertex positions to generate a plurality of straight line segments, and the middle point of each straight line segment is taken as a lower node locating point in a special form. The generated node model is shown in fig. 6 (c).
The copy adding operation specifically includes: acquiring the length L of the original data list by using a Tree Statistics arithmetic unit; creating a number column with a starting value of 3, an interval of 2 and a number of L, comparing each numerical value in the number column 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; using a List Item arithmetic unit, taking each numerical value in the new numerical value List as an index number, and extracting data at a corresponding position in the original data List; and inserting the extracted data into the original data list by using an Insert Items arithmetic unit according to the index number, thus obtaining a new data list after the copy and addition operation.
(4) Generating a Cheng Suo dome three-dimensional model by utilizing an autonomously packaged wire frame model generating 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 generating arithmetic unit is shown in fig. 3 (c);
when the type is rib ring type single stay bar, calling the self-packaged rib ring type single stay bar wire frame model to generate an arithmetic unit, wherein the internal structure of the arithmetic unit is shown in fig. 4 (b). The rib ring type single-stay bar wire frame model generation method comprises the following steps: 1) The ordered upper nodes are connected point by point to obtain closed broken lines, the broken line of the innermost ring is extracted, and the upper nodes corresponding to the broken line of the innermost ring are divided into a plurality of straight line segments to obtain an upper inner ring cable model; 2) The ordered upper nodes are connected point by point to obtain closed broken lines, the broken lines of the outermost ring are extracted, and the upper nodes corresponding to the broken lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model; 3) After the matrix transposition is carried out on the ordered upper node list, the upper node list is connected point by point and divided into a plurality of straight line segments according to the nodes, and then a spinal chord 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 to generate a brace rod model, and connecting the upper node and the lower node to generate a diagonal model; 5) The ordered lower nodes are connected point by point and are divided into a plurality of straight line segments according to the nodes, and then the lower ring cable model is obtained. The generated wire frame model is shown in fig. 4 (d).
When the type is rib ring type double brace rod, calling the self-packaged rib ring type double brace rod wire frame model to generate an arithmetic unit, wherein the internal structure of the arithmetic unit is shown in fig. 5 (b). The rest steps are consistent with rib ring type single stay bar except the stay bar and inclined rope generating method, and the stay bar and inclined rope generating method comprises the following steps: the ordered upper nodes are grouped in pairs, a Weave operator is utilized to combine the first row of points of each group with the ordered lower nodes to form a new point list, the points in the new point list are connected and broken one by one, the obtained line segment is a stay bar model, and the second row of points are processed by the same method to obtain the diagonal model. The generated wire frame model is shown in fig. 5 (d).
When the type is rib ring type four-brace, calling the self-packaged rib ring type four-brace wire frame model to generate an arithmetic unit, wherein the internal structure of the arithmetic unit is shown in fig. 6 (b). The rest steps are consistent with rib ring type single stay bar except the stay bar and inclined rope generating method, and the stay bar and inclined rope generating method comprises the following steps: and (3) performing copy adding operation on the ordered upper nodes, then regrouping according to a group of 3 data, respectively combining the first row of points and the second row of 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, wherein the obtained line segments are a brace rod model, and processing the third row of points by using the same method to obtain the diagonal model. The generated wire frame model is shown in fig. 6 (d).
It should be noted that each step/component described in the present application may be split into more steps/components, or two or more steps/components or part of operations of the steps/components may be combined into new steps/components, according to the implementation needs, to achieve the object of the present application.
It will be readily appreciated by those skilled in the art that the foregoing description is merely a preferred embodiment of the application and is not intended to limit the application, but any modifications, equivalents, improvements or alternatives falling within the spirit and principles of the application are intended to be included within the scope of the application.
Claims (4)
1. A rib ring type cable dome structure system parameterized modeling method based on Grasshopper is characterized by comprising the following steps:
obtaining a three-dimensional model of a building epidermis of a rib ring type cable dome structure system to be built;
determining geometric and type control parameters of the cable dome structure, and representing each geometric and type control parameter by using a corresponding input arithmetic unit;
calling a packaged rib ring type single-brace-rod node model generating arithmetic unit, a rib ring type double-brace-rod node model generating arithmetic unit or a rib ring type four-brace-rod node model generating arithmetic unit to generate a corresponding node model based on input geometric and type control parameters;
based on the generated node model and the input geometric and type control parameters, a rib ring type single-stay wire frame model generation arithmetic unit, a rib ring type double-stay wire frame model generation arithmetic unit or a rib ring type four-stay wire frame model generation arithmetic unit are used for forming a corresponding cable dome structure three-dimensional model;
the method for generating the rib ring type single-support-rod node model by the rib ring type single-support-rod node model generating arithmetic unit comprises the following steps:
according to the curved surface S of the building skin, an outermost ring contour line of the curved surface S is obtained, and the outermost ring contour line is projected to an XY plane to obtain a projection line C;
taking the center point of the projection line C as the center of a circle with any radius, taking N1 first equal points of the circle, wherein the value of N1 is a parameter input by the annular equal points, and taking the center point of the circle as the starting point, and taking a ray in the direction of each first equal point;
intercepting rays by using a projection line C to obtain line segments in the range of the projection line C, taking N2 second bisectors of each line segment, wherein the value of N2 is a parameter input by a radial equal score, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list P;
projecting the point list P onto the curved surface S of the building skin, and finally sequencing according to projection lines C to obtain ordered rib ring type single stay bar upper nodes;
the point list P is grouped in pairs, then two points of each group are connected to form a plurality of line segments, and one point on each line segment is obtained through the position parameters to obtain a lower node locating 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 Stream Filter arithmetic unit is controlled through Boolean parameters, a lower node locating point in a general form or a lower node locating point in a special form is selected, the corresponding lower node locating point is projected onto a curved surface S of a building skin, then the downward moving distance of the point is controlled through the parameter of the structure height, and finally the ordered rib ring type single brace lower nodes are obtained according to projection lines C;
the method for generating the rib ring type single-stay wire frame model by using the rib ring type single-stay wire frame model generating arithmetic unit comprises the following steps:
the upper nodes of the orderly rib ring type single stay bar are connected point by point to obtain closed fold lines, the fold lines of the innermost ring are extracted, and the upper node corresponding to the fold lines of the innermost ring is divided into a plurality of straight line segments to obtain an upper inner ring cable model;
the upper nodes of the ordered rib ring type single stay bar are connected point by point to obtain closed fold lines, the fold lines of the outermost ring are extracted, and the upper nodes corresponding to the fold lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model;
after the matrix transposition is carried out on the ordered rib ring type single support rod upper node list, the node list is connected point by point and is divided into a plurality of straight line segments according to the nodes, and a spinal model is obtained;
carrying out data processing on the ordered rib ring type single support rod upper nodes and the rib ring type single support rod lower node list, connecting the upper and lower nodes to generate a support rod model, and connecting the upper and lower nodes to generate a diagonal cable model;
the lower nodes of the orderly rib ring type single stay bar are connected point by point and are divided into a plurality of straight line segments according to the nodes, so that a lower ring cable model is obtained;
the method for generating the rib ring type double-brace rod node model by the rib ring type double-brace rod node model generating arithmetic unit comprises the following steps:
according to the curved surface S of the building skin, an outermost ring contour line of the curved surface S is obtained, and the outermost ring contour line is projected to an XY plane to obtain a projection line C;
taking the center point of the projection line C as the center of a circle with any radius, taking N1 first equal points of the circle, wherein the value of N1 is a parameter input by the annular equal points, and taking the center point of the circle as the starting point, and taking a ray in the direction of each first equal point;
intercepting rays by using a projection line C to obtain line segments in the range of the projection line C, taking N2 second bisectors of each line segment, wherein the value of N2 is a parameter input by a radial equal score, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list P;
projecting the point list P onto the curved surface S of the building skin, and finally sequencing according to projection lines C to obtain ordered rib ring type double-brace upper nodes;
the method comprises the steps of deleting a last column of data and a first column of data respectively, combining the deleted two groups of lists by using a Weave operator, connecting and breaking points in the combined list one by one to form a plurality of line segments, taking midpoints of the line segments to form a new point list, transposing the new point list, then grouping again according to a plurality of data groups, connecting two points in each group to form a plurality of line segments, and obtaining one point on each line segment by using position parameters to obtain a lower node locating point in a general form;
deleting the last column 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 a special form;
the Stream Filter arithmetic unit is controlled through Boolean parameters, a lower node locating point in a general form or a lower node locating point in a special form is selected, the corresponding lower node locating point is projected onto a curved surface S of a building skin, then the downward moving distance of the point is controlled through the parameter of the structure height, and finally the ordered rib ring type double-brace lower nodes are obtained according to the projection line C;
the method for generating the rib ring type double-stay wire frame model by using the rib ring type double-stay wire frame model generating arithmetic unit comprises the following steps:
the upper nodes of the ordered rib ring type double support rods are connected point by point to obtain closed fold lines, the fold lines of the innermost ring are extracted, and the upper node corresponding to the fold lines of the innermost ring is divided into a plurality of straight line segments to obtain an upper inner ring cable model;
the upper nodes of the ordered rib ring type double support rods are connected point by point to obtain closed fold lines, the fold lines of the outermost ring are extracted, and the upper nodes corresponding to the fold lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model;
after the matrix transposition is carried out on the ordered rib ring type double-brace upper node list, the node list is connected point by point and is divided into a plurality of straight line segments according to the nodes, and a spinal model is obtained;
the method comprises the steps of combining the upper nodes of the ordered rib ring type double stay bars in groups, combining the first row of points of each group with the lower nodes of the ordered rib ring type double stay bars 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 stay bar model;
combining the second row of points of each group with the lower nodes of the ordered rib ring type double 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 which are a diagonal model;
the lower nodes of the ordered rib ring type double stay bars are connected point by point and are divided into a plurality of straight line segments according to the nodes, so that a lower circumferential cable model is obtained;
the method for generating the rib ring type four-support rod node model by the rib ring type four-support rod node model generating arithmetic unit comprises the following steps:
according to the curved surface S of the building skin, an outermost ring contour line of the curved surface S is obtained, and the outermost ring contour line is projected to an XY plane to obtain a projection line C;
taking the center point of the projection line C as the center of a circle with any radius, taking N1 first equal points of the circle, wherein the value of N1 is a parameter input by the annular equal points, and taking the center point of the circle as the starting point, and taking a ray in the direction of each first equal point;
intercepting rays by using a projection line C to obtain line segments in the range of the projection line C, taking N2 second bisectors of each line segment, wherein the value of N2 is a parameter input by a radial equal score, and performing matrix transposition on a list formed by the obtained second bisectors to obtain a point list P;
projecting the point list P onto a curved surface S of the building skin, and finally sequencing according to projection lines C to obtain ordered rib ring type four-stay bar upper nodes;
the method comprises the steps of performing copy adding operation on a 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 midpoints of the line segments to form a new point list again, transposing the new point list obtained again, regrouping according to 3 data groups, connecting the 3 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 locating point in a general form;
the points in the point list P are connected one by one to form a plurality of closed broken lines, a dispatch arithmetic unit is utilized to extract corresponding broken lines according to rules of False and True, the broken lines are broken at the vertex positions to generate a plurality of straight line segments, and the middle point of each straight line segment is taken to obtain a lower node locating point in a special form;
the Stream Filter arithmetic unit is controlled through Boolean parameters, a lower node locating point in a general form or a lower node locating point in a special form is selected, the corresponding lower node locating point is projected onto a curved surface S of a building skin, then the downward moving distance of the point is controlled through the parameter of the structure height, and finally the ordered rib ring type four-brace lower nodes are obtained according to the projection line C;
the method for generating the rib ring type four-stay wire frame model by the rib ring type four-stay wire frame model generating arithmetic unit comprises the following steps:
the upper nodes of the ordered rib ring type four support rods are connected point by point to obtain closed fold lines, the fold lines of the innermost ring are extracted, and the upper fold lines are divided into a plurality of straight line segments according to the upper nodes corresponding to the fold lines of the innermost ring to obtain an upper inner ring cable model;
the upper nodes of the ordered rib ring type four support rods are connected point by point to obtain closed fold lines, the fold lines of the outermost ring are extracted, and the upper nodes corresponding to the fold lines of the outermost ring are divided into a plurality of straight line segments to obtain a ring beam model;
after the matrix transposition is carried out on the ordered rib ring type four-strut upper node list, the node lists are connected point by point and are divided into a plurality of straight line segments according to the nodes, and a spinal model is obtained;
performing copying and adding operation on the upper nodes of the ordered rib ring type four-brace bars, then regrouping according to a group of 3 data, respectively combining the first row points and the second row points of each group with the lower nodes of the ordered rib ring type four-brace bars 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 brace bar models;
combining the third row of points 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 which are a diagonal model;
the lower nodes of the ordered rib ring type four-stay bar are connected point by point and are divided into a plurality of straight line segments according to the nodes, and a lower circumferential cable model is obtained.
2. The method according to claim 1, wherein the generating method of the circumscribed polygon of the curve is: the method is characterized in that the equal points of the original curve N are taken, the analysis arithmetic unit is used for obtaining the tangential directions of the original curve on the points, the equal points are taken as starting points, rays are respectively taken in the directions opposite to the tangential directions, and the polygon enclosed by all the lines is the external polygon of the curve.
3. The method according to claim 2, wherein performing the copy-add operation on the point list P results in a new point list, comprising:
acquiring the length L of the point list P by using a Tree Statistics arithmetic unit; creating a first target sequence with a starting value of 3, an interval of 2 and a number of L, comparing each numerical value in the first target 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 of a corresponding position in the point List P by using each numerical value in the new numerical value List as an index number by using a List Item arithmetic unit; and inserting the extracted data into the point list P according to the index number by utilizing an Insert Items arithmetic unit to obtain a new point list obtained by the copy and add operation.
4. A method according to claim 3, wherein the copying and adding operation to the nodes on the ordered rib ring type four-brace bar comprises:
acquiring the length M of a node list on the ordered rib ring type four-stay bar by using a Tree Statistics arithmetic unit; creating a second target sequence with a starting value of 3, an interval of 2 and a number of M, comparing each numerical value in the second target sequence 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 of corresponding positions in the node List on the ordered rib ring type four-brace rod by using a List Item arithmetic unit and taking each value in the new value List as an index number; and inserting the extracted data into an ordered rib ring type four-strut upper node list according to index numbers by utilizing an Insert Items arithmetic unit to obtain a new point list obtained by the copy and addition operation.
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