CN110532645B - Design and processing method of Thiessen polygonal wood structure - Google Patents
Design and processing method of Thiessen polygonal wood structure Download PDFInfo
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Abstract
The invention discloses a design and processing method of a Thiessen polygonal wood structure. A three-dimensional space curved surface which is synthesized by the rod piece is generated by utilizing the Thiessen polygon, and the shape of the three-dimensional space curved surface is optimized mechanically by utilizing the principle of static balance. In the design process, by changing various parameters in the algorithm, the plane outline, the height, the fixed point position, the opening direction and the polygon number of the wood structure can be set. After the space form of the wood structure is determined, the geometric shape of each node is calculated, and a processing path file of the wood and a laser cutting file of the metal connecting piece are generated. The method can automatically generate all the processing files without human intervention in the whole process. And assembling the processed components on site to obtain a complete structure.
Description
Technical Field
The invention belongs to the technical field of building engineering, and particularly relates to a design and processing method of a Thiessen polygonal wood structure.
Background
Landscape wooden structures composed of bars are often used for landscape structures, urban sculptures, interior decorations, and the like. The landscape wood structural engineering project generally comprises appearance design, structural optimization, connection structure design, component processing and installation construction. Currently, these steps are undertaken by respective teams of architects, structural engineers, process plants, construction teams, and the like. The landscape wood structure lacks corresponding national standards and industrial standards, so that a plurality of teams are difficult to reach the same in the process of implementing each step, and the problems of high construction cost, long production period, low engineering quality and the like exist.
At present, landscape wood structures almost adopt a horizontal, flat and vertical regular shape, so that the landscape wood structures are rigid and single in appearance and are difficult to meet the requirements of places with irregular shapes. The wood rod pieces in the existing landscape wood structure generally have regular geometric shapes (consisting of right angles), are generally processed by manual processing or electric tools (electric saws, electric drills and the like), have low processing efficiency, have low geometric precision of components and cannot process complicated irregular shapes.
Disclosure of Invention
The purpose of the invention is as follows: aiming at the problems, the invention provides a design and processing method of a Thiessen polygonal wood structure. The method comprises the steps of appearance design, structure optimization, connection structure design, component processing and installation construction of the special-shaped wood structure. The special-shaped wood structure is shaped by adopting a Thiessen polygon, the shape is optimized by adopting a static balance principle, and machine files required by a numerical control equipment machining component are automatically generated.
The technical scheme is as follows: in order to realize the purpose of the invention, the technical scheme adopted by the invention is as follows: a design and processing method of a Thiessen polygonal wood structure comprises the following steps:
step 1: setting the plane profile, height, fixed point position, opening direction and number of Thiessen polygons of the wood structure; uniformly distributing the centers of the Thiessen polygons in the plane outline by a cyclic algorithm to generate a planar mesh grid of the Thiessen polygon wood structure;
step 2: initializing a three-dimensional mesh grid of a Thiessen polygonal wood structure according to the planar mesh grid generated in the step 1 and combining the position of a fixed point, so that the sum of the lengths of all edges is the shortest; according to the static balance principle, optimizing the mechanical property of the wood structure to obtain an optimized three-dimensional mesh grid, and generating a technical and economic index;
and 3, step 3: judging whether the economic index of the optimized three-dimensional mesh grid obtained in the step 2 meets the design requirement or not, and judging whether the appearance of the grid reaches the expectation or not; if the economic index and the grid appearance meet the requirements, entering a step 4; otherwise, returning to execute the step 1;
and 4, step 4: generating the geometric shape of the wood structure nodes and the planar shape of the metal connecting piece according to the optimized three-dimensional mesh grid obtained in the step 2, wherein each node is provided with one metal connecting piece which is fixedly connected with three wood rod pieces; generating a source file required by the numerical control equipment for processing the wood rod piece and a vector file required by the numerical control equipment for processing the metal connecting piece, wherein each wood rod piece of the wood structure corresponds to a unique source file;
and 5: respectively inputting the rod piece processing source file generated in the step 4 and the vector file of the metal connecting piece into numerical control equipment, and finishing factory prefabrication processing of the wood rod piece and the metal connecting piece by utilizing the numerical control equipment;
step 6: and (5) carrying out field assembly on the wood rod piece processed in the step (5) and the metal connecting piece to complete the construction of the wood structure.
Further, in the step 1, the centers of the Thiessen polygons are uniformly distributed in the plane outline through a circulation algorithm to generate a planar mesh grid of the Thiessen polygon wood structure; the method comprises the following specific steps:
firstly, randomly arranging n circles in a plane outline, wherein n is the total number of Thiessen polygons;
then, judging whether any two circles have overlapping parts, if any two circles have overlapping parts, respectively moving the two circles towards opposite directions, wherein each circle is kept in the plane contour in the moving process, and until all circles are not overlapped with each other, the n circles are uniformly distributed in the plane contour;
and finally, generating a Thiessen polygonal wood structure plane mesh grid according to the n circular central points, wherein the grid comprises n Thiessen polygons.
Further, initializing the three-dimensional mesh grid of the Thiessen polygonal wood structure in the step 2, so that the sum of the lengths of all the edges is the shortest, optimizing the mechanical property of the wood structure, obtaining the optimized three-dimensional mesh grid of the Thiessen polygonal wood structure, and generating a technical and economic index; the method comprises the following specific steps:
step 2-1: initializing a three-dimensional mesh grid of a Thiessen polygonal wood structure by solving a formula (1) according to the planar mesh grid generated in the step (1) in combination with the fixed point position to ensure that the sum of the lengths of all edges is shortest, and forming a spatial curved surface formed by fitting wood rods, wherein each wood rod in the wood structure corresponds to one edge in the three-dimensional mesh grid; the three-dimensional mesh formula is initialized as follows:
wherein X is a matrix containing three-dimensional coordinates of all grid nodes, and a sub-matrix X thereof N Representing a movable node, its sub-matrix X F Show the fixed festivalPoint; c is an incidence matrix (incidence matrix), and a sub-matrix C thereof N Corresponding to a movable node, its sub-matrix C F Corresponding to the fixed node;
step 2-2: reducing bending moment and shearing force inside the Thiessen polygonal wood structure three-dimensional mesh grid through a static balance principle, and optimizing the mechanical property of the wood structure to obtain the optimized Thiessen polygonal wood structure three-dimensional mesh grid;
step 2-3: generating a technical and economic index according to the three-dimensional mesh grid of the Thiessen polygonal wood structure obtained in the step 2-2, wherein the technical and economic index comprises the following steps: total amount of wood, total amount of wood actually needed, wood cost, total weight of the wood structure, total material cost.
Further, optimizing the mechanical property of the wood structure by a static balance principle in the step 2-2 to obtain an optimized three-dimensional mesh grid of the Thiessen polygonal wood structure; the method comprises the following specific steps:
step 2-2-1: setting the reference length L of each rod std Initial length L ini Density G of the rod member, cross-sectional area S of the rod member; reference length L of rod member std Is the initial length L of the rod member ini 5% -35%;
step 2-2-2: each grid node in the three-dimensional grid is connected with three rod pieces, the weight W of the rod pieces is distributed to the corresponding grid nodes, and the node weight W is obtained c (ii) a Wherein, W = sxlxlxlxxgxg, L is the current length of the rod, and G is the gravitational acceleration;
step 2-2-3: each node except the fixed point in the three-dimensional grid is respectively displaced in the vertical direction under the action of the weight of the node, and the displacement distance and the weight W of the node c Is in direct proportion; the current length L of the rod piece is changed according to the displacement of the grid node;
step 2-2-4: calculating the axial force f = E x (L-L) of each rod in the grid std ) (ii) a Wherein E is a constant;
step 2-2-5: each node except the fixed point in the three-dimensional grid displaces along the rod under the action of the axial force of the rod, and the displacement distance is in direct proportion to the axial force in the rod; the node displacement along the rod is calculated as follows:
△x＝f 1 V 1 +f 2 V 2 +f 3 V 3
where Δ x is a three-dimensional vector representing the offset of a node in three-dimensional space, f 1 ,f 2 ,f 3 Respectively representing the axial force of three rod pieces connected with the node; v 1 ,V 2 ,V 3 Respectively showing the directions of three rod pieces connected with the node;
step 2-2-6: and (5) repeatedly executing the step 2-2-2 to the step 2-2-5 until the displacement of all the nodes is smaller than the set threshold, and stopping circulation to complete the optimization of the mechanical property of the wood structure.
Further, the technical economic index is expressed as follows:
T sum ＝T ori ×120％
P T ＝T sum ×P 0
W T ＝g×G×T sum +W s
P sum ＝P T +P s
wherein, T ori Expressing the total amount of wood in cubic meters, S the cross-sectional area of the rod, L i The length of the ith wood rod piece is shown, and M represents the number of the wood rod pieces; t is a unit of sum Represents the total amount of wood actually required; p is T Denotes the cost of wood, P 0 Represents a wood unit price; w is a group of T Representing the total weight of the wood structure, G representing the density of the wood bar, W s Representing the total weight of the metal connecting piece; p is sum Represents the total material cost, P s Representing the cost of the metal connection.
Further, the numerical control equipment for processing the wooden rod piece in the step 4 adopts a mechanical arm; the numerical control equipment for processing the metal connecting piece adopts a laser cutting machine.
Further, in the step 5, the factory prefabrication processing of the wood rod piece and the metal connecting piece is completed by using numerical control equipment; the method comprises the following steps:
step 5-1: inputting the rod piece processing source file generated in the step 4 into a mechanical arm system, processing a wood rod piece by adopting a mechanical arm, mounting an Automatic Tool Changing (ATC) electric spindle on a flange plate of the mechanical arm, and matching a milling cutter on the electric spindle; fixing the wood rod piece, and moving the electric spindle by the mechanical arm to perform milling processing; preferably, the mechanical arm is a KUKA six-axis mechanical arm.
Step 5-2: processing the metal connecting pieces by adopting a laser cutting machine, reading the plane vector diagrams of all the metal connecting pieces generated in the step (4) by the laser cutting machine, and automatically finishing processing; and each processed metal connecting piece is provided with a corresponding node serial number and serial numbers of three rod pieces to be connected.
Further, in the step 5-1, a mechanical arm is adopted to machine the wood rod piece, and the specific operation steps are as follows:
(1) Determining the serial number of the wood rod piece needing to be processed currently; (2) Cutting a section of wood, the length of which is equal to the final total length of the wood rod piece; (3) Marking the serial number of the wood rod piece on the wood, marking the serial numbers of the corresponding nodes at two ends, and fixing the wood on the clamp according to the reference point; (4) Inputting the corresponding processing source file into a mechanical arm system according to the serial number of the current rod piece; (5) milling by using a mechanical arm; and (6) after the processing is finished, taking the wood from the clamp for standby.
Furthermore, the invention adopts a stainless steel plate as a metal connecting piece, and the wood rod piece and the metal connecting piece are fixed through bolts and nuts; two ends of the wood rod piece are provided with cylindrical through holes for a bolt to vertically penetrate through and be connected with the nut, one end of each cylindrical through hole is provided with a hexagonal hole for embedding the nut, and two ends of the wood rod piece are simultaneously provided with bayonets for clamping the wood rod piece with the metal connecting piece; after the wood rod piece is fixed with the metal connecting piece, the end part of the bolt is embedded in the cylindrical hole in the wood, the end part of the bolt does not protrude out of the plane of the wood, the nut is embedded in the hexagonal hole in the wood, and the nut does not protrude out of the plane of the wood; the thickness of the metal plate cut by the laser is smaller than the width of a bayonet on the wood rod piece by m millimeters; typically m is 1 mm.
Compared with the prior art, the technical scheme of the invention has the following beneficial technical effects:
the invention relates to all implementation steps of a landscape wood structure, which comprise appearance design, structure optimization, connection structure design, component processing and installation construction, and are beneficial to uniformly controlling engineering quality, processing cost and construction difficulty.
The wood structure adopts an irregular shape, has a complex appearance, and can be provided with the plane outline, the height, the fixed point position, the opening direction and the number of polygons according to the current situation of a field. The shape optimization algorithm based on static balance can enhance the mechanical stability of the whole wood structure and improve the safety of the wood structure. The invention saves the time for designing the appearance and the structure of the special-shaped wood structure.
The processing method provided by the invention adopts the numerical control machine tool to carry out automatic processing, has high efficiency and can ensure the precision of the wood component. All wood rods are processed by the mechanical arm and the laser cutting machine, so that rapid and accurate production can be realized. The mode of 'factory prefabrication-field assembly' improves the efficiency and reduces the manufacturing cost. The whole wood structure can be quickly installed and assembled, so that the wood structure is convenient to reuse.
Drawings
FIG. 1 is a flow chart of the overall design of the present invention;
FIG. 2 is a schematic diagram of initialization and mechanical optimization of a three-dimensional mesh grid of a Thiessen polygonal wood structure;
FIG. 3 is a schematic view of the connection of the wood bar member with the metal connecting member;
FIG. 4 is a schematic diagram of a mechanical arm milling wood rod and a detail view of a node of the wood rod;
FIG. 5 is a schematic view of a metal connection;
fig. 6 is a field assembly view of a wooden structure.
Detailed Description
The technical solution of the present invention is further described below with reference to the accompanying drawings and examples.
The design and processing method of the Thiessen polygonal wood structure, disclosed by the invention, has the flow shown in figure 1, and comprises the following steps of:
step 1: setting the plane profile, height, fixed point position, opening direction and number of Thiessen polygons of the wood structure; and (3) uniformly distributing the centers of the Thiessen polygons in the plane outline by a cyclic algorithm to generate the planar mesh grid of the Thiessen polygon wood structure. The method comprises the following specific steps:
firstly, randomly arranging n circles in a plane outline, wherein n is the total number of Thiessen polygons;
then, uniformly arranging the n circles in the plane outline by using a cyclic algorithm to obtain the centers of the n circles; the method comprises the following steps: judging whether any two circles have overlapping parts, if so, moving the two circles in opposite directions respectively, wherein each circle is kept in the plane outline in the moving process until the circles are not overlapped with each other, the cyclic algorithm is terminated, and the n circles are uniformly distributed in the plane outline;
and finally, generating a Thiessen polygonal wood structure plane mesh grid according to the n circular central points, wherein the grid comprises n Thiessen polygons.
Step 2: initializing a three-dimensional mesh grid with a Thiessen polygonal wood structure according to the planar mesh grid generated in the step 1 and combining the positions of the fixed points, so that the sum of the lengths of all edges is shortest; and according to the static balance principle, optimizing the mechanical property of the wood structure to obtain an optimized three-dimensional mesh grid and generate technical and economic indexes. The method comprises the following specific steps:
step 2-1: according to the planar mesh grid generated in the step 1, in combination with the fixed point position, initializing a three-dimensional mesh grid of the Thiessen polygonal wood structure through solving a formula (1), so that the sum of the lengths of all edges is shortest, and a space curved surface formed by fitting wood rods is formed, wherein each wood rod in the wood structure corresponds to one edge in the three-dimensional mesh grid, as shown in fig. 2, each node is correspondingly provided with a metal connecting piece, and the metal connecting piece is fixedly connected with three wood rods. The three-dimensional mesh formula is initialized as follows:
wherein X is a matrix containing three-dimensional coordinates of all grid nodes, and a sub-matrix X thereof N Representing a movable node, its sub-matrix X F Represents a fixed node; c is an incidence matrix (incidence matrix), and a sub-matrix C thereof N Corresponding to a movable node, its sub-matrix C F Corresponding to the fixed node.
Step 2-2: and by a static balance principle, reducing the bending moment and the shearing force inside the three-dimensional mesh grid of the Thiessen polygonal wood structure, and optimizing the mechanical property of the wood structure to obtain the optimized three-dimensional mesh grid of the Thiessen polygonal wood structure. The method comprises the following specific steps:
step 2-2-1: setting the reference length L of each rod std Initial length L ini Density G of the rod member, cross-sectional area S of the rod member; reference length L of rod member std Is the initial length L of the rod member ini 5% -35%;
step 2-2-2: each grid node in the three-dimensional grid is connected with three rod pieces, the weight W of the rod pieces is distributed to the corresponding grid nodes, and the node weight W is obtained c (ii) a Wherein, W = sxlxlxlxxgxg, L is the current length of the rod, and G is the gravitational acceleration;
step 2-2-3: each node except the fixed point in the three-dimensional grid is respectively displaced in the vertical direction under the action of the weight of the node, and the displacement distance and the weight W of the node c Is in direct proportion; the current length L of the rod piece is changed according to the displacement of the grid node;
step 2-2-4: calculating the axial force f = E x (L-L) of each rod in the grid std ) (ii) a Wherein E is a constant;
step 2-2-5: each node except the fixed point in the three-dimensional grid displaces along the rod under the action of the axial force of the rod, and the displacement distance is in direct proportion to the axial force in the rod; the node displacement along the rod is calculated as follows:
△x＝f 1 V 1 +f 2 V 2 +f 3 V 3
where Δ x is a three-dimensional vector representing the offset of a node in three-dimensional space, f 1 ,f 2 ,f 3 Respectively representing the axial force of three rod pieces connected with the node; v 1 ,V 2 ,V 3 Respectively showing the directions of three rod pieces connected with the node;
step 2-2-6: repeating the step 2-2-2 to the step 2-2-5 until the displacement of all the nodes is smaller than the set threshold, and stopping circulation to complete the optimization of the mechanical property of the wood structure;
step 2-3: generating a technical and economic index according to the three-dimensional mesh grid of the Thiessen polygonal wood structure obtained in the step 2-2, wherein the technical and economic index comprises the following steps: total amount of wood, total amount of wood actually needed, wood cost, total weight of wood structure, total material cost;
the technical and economic indexes are expressed as follows:
T sum ＝T ori ×120％
P T ＝T sum ×P 0
W T ＝g×G×T sum +W s
P sum ＝P T +P s
wherein, T ori Expressing the total amount of wood in cubic meters, S the cross-sectional area of the rod, L i The length of the ith wood rod piece is shown, and M represents the number of the wood rod pieces; t is sum Represents the total amount of wood actually required; p T Denotes the cost of wood, P 0 Represents a wood unit price; w T Representing the total weight of the wood structure, G representing the density of the wood bar, W s Representing the total weight of the metal connecting piece; p is sum Represents the total material cost, P s Representing the cost of the metal connection.
And step 3: judging whether the economic index of the optimized three-dimensional mesh grid obtained in the step 2 meets the design requirement or not, and judging whether the appearance of the grid reaches the expectation or not; if the economic index and the grid appearance meet the requirements, entering a step 4; otherwise, returning to execute the step 1.
And 4, step 4: and (3) generating the geometric shape of the wood structure nodes and the plane shape of the metal connecting piece according to the optimized three-dimensional mesh grid obtained in the step (2), wherein each node is provided with one metal connecting piece which is fixedly connected with three wood rod pieces, as shown in figure 3. And generating a source file required by the mechanical arm to process the wood rod piece and a vector file (.dxf) of the laser cutting machine, wherein each rod piece generates a unique source file. What this embodiment generated is the KRL source file that is used for KUKA arm system processing. Each bar is shaped differently so that a unique source file is output for each bar.
This embodiment adopts corrosion resistant plate as metal connecting piece, and wooden member passes through bolt and nut with metal connecting piece and fixes. The geometric shape of the wood structure node is shown in fig. 3, two ends of a wood rod piece are provided with cylindrical through holes for a bolt to vertically penetrate through and be connected with a nut, one end of each cylindrical through hole is provided with a hexagonal hole for embedding the nut, and two ends of the wood rod piece are simultaneously provided with bayonets for clamping the wood rod piece with a metal connecting piece; the plane shape of the metal connecting piece is shown in fig. 5, after the wood rod piece is fixed with the metal connecting piece, the end part of the bolt is embedded in the cylindrical hole in the wood, the end part of the bolt does not protrude out of the plane of the wood, the nut is embedded in the hexagonal hole in the wood, and the nut does not protrude out of the plane of the wood, and is shown in fig. 4.
And 5: and (5) finishing factory prefabrication and processing of the wood rod piece and the metal connecting piece by using numerical control equipment.
Step 5-1: inputting the rod piece processing source file generated in the step 4 into a mechanical arm system, and processing the wood rod piece by adopting a mechanical arm. According to the embodiment, a KUKA six-shaft mechanical arm is adopted, an Automatic Tool Changing (ATC) electric spindle is installed on a flange plate of the mechanical arm, and a milling cutter is arranged on the electric spindle. The wooden pole piece is fixed and the mechanical arm moves the motorized spindle to perform the milling process, as shown in fig. 4. Since the shape of each bar is different, the machining files required for the robot arm are also different. The specific operation steps are as follows:
(1) Determining the serial number of the wood rod piece needing to be processed currently; (2) Cutting a section of wood, the length of which is equal to the final total length of the wood pole piece; (3) Marking the serial number of the rod piece on the wood, marking the serial numbers of the corresponding nodes at two ends, and fixing the wood on the clamp according to the reference points; (4) Inputting a corresponding processing source file into a KUKA mechanical arm system according to the serial number of the current rod piece; (5) milling by using a mechanical arm; and (6) after the processing is finished, taking the wood from the clamp for standby.
Step 5-2: and processing the metal connecting piece by adopting a laser cutting machine. And (4) reading the plane vector diagrams (. Dxf) of all the metal connecting pieces generated in the step (4) by the laser cutting machine, and automatically finishing the processing. Each processed metal connecting piece is provided with a corresponding node serial number and serial numbers of three rod pieces to be connected, as shown in fig. 5. The thickness of the laser-cut metal plate is 1 mm smaller than the width of the bayonet on the wood-bar piece, and the schematic diagrams are shown in fig. 3 and 4.
Step 6: and (5) carrying out field assembly on the wood rod piece and the metal connecting piece processed in the step (5) to complete the construction of the wood structure, wherein the assembly effect is shown in figure 6. Starting from the ground fixing point, it is gradually extended upwards. The assembly process is simple and convenient, and only the components are required to be placed at corresponding positions and then the bolts and the nuts are screwed. After the installation is completed, the Thiessen polygonal wood structure can also be disassembled and reinstalled elsewhere.
The above embodiments are only for illustrating the technical idea of the present invention, and the technical idea of the present invention is not limited thereto, and any modifications made on the basis of the technical solution according to the technical idea of the present invention fall within the protective scope of the present invention. The embodiments of the present invention have been described in detail with reference to the above examples, but the present invention is not limited to the above embodiments, and various changes can be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.
Claims (7)
1. A design and processing method of a Thiessen polygonal wood structure is characterized in that: the method comprises the following steps:
step 1: setting the plane profile, height, fixed point position, opening direction and number of Thiessen polygons of the wood structure; uniformly distributing the centers of the Thiessen polygons in the plane outline by a cyclic algorithm to generate a planar mesh grid of the Thiessen polygon wood structure;
and 2, step: initializing a three-dimensional mesh grid with a Thiessen polygonal wood structure according to the planar mesh grid generated in the step 1 and combining the positions of the fixed points, so that the sum of the lengths of all edges is shortest; according to the static balance principle, optimizing the mechanical property of the wood structure to obtain an optimized three-dimensional mesh grid, and generating a technical and economic index; the method comprises the following specific steps:
step 2-1: initializing a three-dimensional mesh grid of a Thiessen polygonal wood structure by solving a formula (1) according to the planar mesh grid generated in the step (1) in combination with the fixed point position to ensure that the sum of the lengths of all edges is shortest, and forming a spatial curved surface formed by fitting wood rods, wherein each wood rod in the wood structure corresponds to one edge in the three-dimensional mesh grid; the three-dimensional mesh formula is initialized as follows:
wherein X is a matrix containing three-dimensional coordinates of all grid nodes, and a sub-matrix X thereof N Representing a movable node, its sub-matrix X F Represents a fixed node; c is a correlation matrix, a sub-matrix C thereof N Corresponding to a movable node, its sub-matrix C F Corresponding to the fixed node;
step 2-2: reducing the bending moment and shearing force inside the Thiessen polygonal wood structure three-dimensional mesh grid through a static balance principle, and optimizing the mechanical property of the wood structure to obtain the optimized Thiessen polygonal wood structure three-dimensional mesh grid; the method comprises the following specific steps:
step 2-2-1: setting the reference length L of each rod std Initial length L ini Density G of the bar, cross-sectional area S of the bar; reference length L of rod member std Is the initial length L of the rod member ini 5% -35%;
step 2-2-2: each grid node in the three-dimensional grid is connected with three rod pieces, the weight W of each rod piece is distributed to the corresponding grid node, and the weight W of each node is obtained c (ii) a Wherein, W = sxlxlxlxxgxg, L is the current length of the rod, and G is the gravitational acceleration;
step 2-2-3: each node except the fixed point in the three-dimensional grid is respectively displaced in the vertical direction under the action of the weight of the node, and the displacement distance and the weight W of the node c Is in direct proportion; the current length L of the rod piece is changed according to the displacement of the grid nodes;
step 2-2-4: calculating the axial force f = E x (L-L) of each rod in the grid std ) (ii) a Wherein E is a constant;
step 2-2-5: each node except the fixed point in the three-dimensional grid displaces along the rod under the action of the axial force of the rod, and the displacement distance is in direct proportion to the axial force in the rod; the node displacement along the rod is calculated as follows:
Δx＝f 1 V 1 +f 2 V 2 +f 3 V 3
where Δ x is a three-dimensional vector representing the offset of a node in three-dimensional space, f 1 ,f 2 ,f 3 Respectively representing the axial force of three rod pieces connected with the node; v 1 ,V 2 ,V 3 Respectively indicating the directions of three rods connected with the node;
step 2-2-6: repeating the step 2-2-2 to the step 2-2-5 until the displacement of all the nodes is smaller than a set threshold value, and stopping circulation to complete the optimization of the mechanical property of the wood structure;
step 2-3: generating a technical and economic index according to the three-dimensional mesh grid of the Thiessen polygonal wood structure obtained in the step 2-2, wherein the technical and economic index comprises the following steps: total amount of wood, total amount of wood actually needed, wood cost, total weight of wood structure, total material cost;
and step 3: judging whether the economic index of the optimized three-dimensional mesh grid obtained in the step 2 meets the design requirement or not, and judging whether the appearance of the grid reaches the expectation or not; if the economic index and the grid appearance meet the requirements, entering a step 4; otherwise, returning to execute the step 1;
and 4, step 4: generating the geometric shape of the wood structure nodes and the planar shape of the metal connecting piece according to the optimized three-dimensional mesh grid obtained in the step 2, wherein each node is provided with one metal connecting piece which is fixedly connected with three wood rod pieces; generating a source file required by the numerical control equipment for processing the wood rod piece and a vector file required by the numerical control equipment for processing the metal connecting piece, wherein each wood rod piece of the wood structure corresponds to a unique source file;
and 5: respectively inputting the rod piece processing source file generated in the step 4 and the vector file of the metal connecting piece into numerical control equipment, and finishing factory prefabrication processing of the wood rod piece and the metal connecting piece by utilizing the numerical control equipment;
and 6: and (5) carrying out field assembly on the wood rod piece processed in the step (5) and the metal connecting piece to complete the construction of the wood structure.
2. The design and processing method of the Thiessen polygonal wood structure according to claim 1, characterized in that: in the step 1, the centers of the Thiessen polygons are uniformly distributed in the plane outline through a cyclic algorithm to generate a planar mesh grid of the Thiessen polygon wood structure; the method comprises the following specific steps:
firstly, randomly arranging n circles in a plane outline, wherein n is the total number of Thiessen polygons;
then, judging whether any two circles have overlapping parts, if any two circles have overlapping parts, respectively moving the two circles in opposite directions, wherein each circle is kept in the plane outline in the moving process, and until all circles are not overlapped with each other, the n circles are uniformly distributed in the plane outline;
and finally, generating a Thiessen polygonal wood structure plane mesh grid according to the n circular central points, wherein the grid comprises n Thiessen polygons.
3. The design and processing method of the Thiessen polygonal wood structure according to claim 1, characterized in that: the technical and economic indexes are expressed as follows:
T sum ＝T ori ×120％
P T ＝T sum ×P 0
W T ＝g×G×T sum +W s
P sum ＝P T +P s
wherein, T ori Expressing the total amount of wood in cubic meters, S the cross-sectional area of the bar, L i The length of the ith wood bar piece is shown, and M represents the number of the wood bar pieces; t is sum Represents the total amount of wood actually required; p T Denotes the cost of wood, P 0 Represents a wood unit price; w T Representing the total weight of the wood structure, G representing the density of the wood bar, W s Representing the total weight of the metal connecting piece; p is sum Represents the total material cost, P s Representing the cost of the metal connection.
4. The design and processing method of the Thiessen polygonal wood structure according to claim 1, wherein: the numerical control equipment for processing the wood rod piece in the step 4 adopts a mechanical arm; the numerical control equipment for processing the metal connecting piece adopts a laser cutting machine.
5. The design and processing method of the Thiessen polygonal wood structure according to claim 4, wherein the design and processing method comprises the following steps: step 5, the factory prefabrication processing of the wood rod piece and the metal connecting piece is completed by using numerical control equipment, and the method comprises the following steps:
step 5-1: inputting the rod piece processing source file generated in the step 4 into a mechanical arm system, processing a wood rod piece by adopting a mechanical arm, mounting an automatic tool changing electric spindle on a flange plate of the mechanical arm, and matching a milling cutter on the electric spindle; fixing the wood rod piece, and moving the electric spindle by the mechanical arm to perform milling processing;
step 5-2: processing the metal connecting pieces by adopting a laser cutting machine, reading the plane vector diagrams of all the metal connecting pieces generated in the step (4) by the laser cutting machine, and automatically finishing the processing; and each processed metal connecting piece is provided with a corresponding node serial number and serial numbers of three rod pieces to be connected.
6. The design and processing method of the Thiessen polygonal wood structure according to claim 5, wherein: the step 5-1 is to process the wood rod piece by adopting a mechanical arm, and the specific operation steps are as follows:
(1) Determining the serial number of the wood rod piece needing to be processed currently; (2) Cutting a section of wood, the length of which is equal to the final total length of the wood pole piece; (3) Marking the serial number of the wood rod piece on the wood, marking the serial numbers of the corresponding nodes at two ends, and fixing the wood on the clamp according to the reference point; (4) Inputting a corresponding processing source file into a mechanical arm system according to the serial number of the current wood rod piece; (5) milling by using a mechanical arm; and (6) after the processing is finished, taking the wood from the clamp for standby.
7. The design and processing method of the Thiessen polygonal wood structure according to claim 6, wherein: a stainless steel plate is used as a metal connecting piece, and the wood rod piece and the metal connecting piece are fixed through bolts and nuts; two ends of the wood rod piece are provided with cylindrical through holes for a bolt to vertically penetrate through and be connected with the nut, one end of each cylindrical through hole is provided with a hexagonal hole for embedding the nut, and two ends of the wood rod piece are simultaneously provided with bayonets for clamping the wood rod piece with the metal connecting piece; after the wood rod piece is fixed with the metal connecting piece, the end part of the bolt is embedded in the cylindrical hole in the wood, the end part of the bolt does not protrude out of the plane of the wood, the nut is embedded in the hexagonal hole in the wood, and the nut does not protrude out of the plane of the wood; the thickness of the laser cut metal plate is 1 mm smaller than the width of the bayonet on the wood rod piece.
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