CN112182798A - Grid construction method and structure of connecting component embedded into plate structure - Google Patents
Grid construction method and structure of connecting component embedded into plate structure Download PDFInfo
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Abstract
The invention discloses a method and a structure for constructing grids of connecting members embedded into a plate structure, wherein the connecting members are expressed as simplified nodes on the structural surface of the plate structure; the plate structure grid is divided into plate structure units and plate structure nodes, member units are constructed between the simplified nodes and the plate structure nodes to serve as equivalent units of connecting members, and the structural response of the connecting members in the plate structure surface is simulated; the structural response synchronization realized by the connecting unit is arranged between the member unit and the plate structure unit, and a plurality of copy nodes are established at the coordinate position of the simplified node to replace the simplified node in the plate structure unit; the plate structure unit ignores the geometric shape of the embedded connecting member and only retains the central position information, the number of the grids obtained by division is greatly reduced, the numerical calculation scale of a computer is greatly reduced, the solving efficiency is improved, and the solving time is shortened.
Description
Technical Field
The invention relates to the technical field of numerical simulation analysis, in particular to a grid construction method and a grid construction structure of a connecting component embedded into a plate structure.
Background
The numerical simulation analysis technique is often faced with a plate structure of an embedded connection member in engineering application, such as rivet connection, bolt connection, spot welding connection and plug welding connection commonly used in structural engineering, via hole connection and through hole connection commonly used in integrated circuits, and the like. In the process of carrying out numerical simulation analysis on the plate structure, because the characteristic dimension of the embedded connecting member is much smaller than that of the plate structure, the grid division is directly carried out according to the characteristic dimension of the connecting member, so that the scale of a model is greatly increased, the calculation efficiency is greatly influenced, and the calculation cost is increased.
For such a structure, there are three main processing methods for the existing numerical simulation.
Firstly, the geometric shape of the embedded connecting component is reserved, grid division is carried out according to the characteristic size of the component, and the component is simplified into a single unit in the board structure surface. The method mainly has the following problems: the minimum grid size of the plate structure is the characteristic size of the component, and the scale of the model cannot be effectively reduced.
Secondly, the geometrical shape of the embedded connecting member is not reserved at all, and the grid division is carried out according to the characteristic size of the plate structure. Meanwhile, material attribute parameters of the original component and the plate structure units in the peripheral area of the original component are equivalent, so that the scale of the model is greatly reduced. The method mainly has the following problems: the in-plane macroscopic influence of the connecting member on the plate structure can only be simulated, and the out-of-plane influence and the local in-plane influence of the member on the plate structure cannot be effectively simulated.
And thirdly, the geometric shape of the embedded component is not reserved, grid division is carried out by taking the characteristic size of the plate structure as the basis, and the component is simplified into a single node mapped on the surface of the plate structure, so that the model scale is greatly reduced. The method mainly has the following problems: the out-of-plane influence of the connecting member on the plate structure can be simulated only to a certain extent, and the in-plane influence of the connecting member on the plate structure cannot be effectively simulated.
Disclosure of Invention
The invention mainly aims to overcome the defects in the prior art, and provides a grid construction method and a grid construction structure of a connecting member embedded in a plate structure, so that the in-plane influence and the out-of-plane influence of the connecting member on the plate structure can be effectively and simultaneously simulated on the premise of greatly reducing the model scale.
The invention adopts the following technical scheme:
a method for constructing a grid of connecting elements embedded in a slab structure, comprising the steps of:
1) simplifying the connecting members into simplified nodes on a structural surface grid of the plate structure;
2) carrying out two-dimensional grid division on the structural surface by adopting the geometric characteristic dimension of the plate structure, and discretizing into a plurality of plate structure nodes and plate structure units;
3) on the structural surface of the plate structure, constructing a member unit as an equivalent unit of a connecting member according to the simplified node and the plate structure node;
4) constructing a connecting unit to realize the transmission of structural response between the component unit and the plate structure unit;
5) and performing node replacement on each plate structure unit, and replacing the simplified nodes in each plate structure unit with the copy nodes.
Preferably, in step 1), the geometric shape of the connecting member is ignored, only the position information is retained, and the position of the center point of the connecting member is simplified into the simplified node.
Preferably, in step 2), the plate structure unit is formed by dividing a connection line between a simplified node and each plate structure node.
Preferably, in step 3), the building member unit specifically includes the following steps:
3.1) creating several replica nodes at the simplified node coordinate locations,
3.2) building a member node at a certain distance from the simplified node in the connecting direction of the simplified node and the plate structure node;
and 3.3) connecting the simplified nodes with each component node on the structural plane so as to divide and obtain a plurality of component units.
Preferably, in step 4), the plurality of member nodes and the plurality of replica nodes are grouped in the structural plane, and the member nodes and the replica nodes of each group are connected to form the connection unit.
Preferably, the connecting unit is a one-dimensional linear unit, and a rigid unit or a flexible unit is adopted.
Preferably, if the plate structure unit needs to be represented as a three-dimensional solid unit, the method further comprises step 6) of stretching the plate structure unit in the plate thickness direction, including the following steps:
6.1) copying the plate structure nodes, the copied nodes, the member nodes and the connecting units for a plurality of times along the plate structure thickness direction to form a plurality of layers;
6.2) sequentially connecting the replication nodes and the plate structure nodes corresponding to the adjacent layers to form a three-dimensional prismatic plate structure unit;
and 6.3) sequentially connecting the simplified nodes and the component nodes corresponding to the adjacent layers to form the three-dimensional prismatic component unit.
8. The method of constructing a lattice of connecting members embedded in a plate structure of claim 7, wherein the step 6) further comprises sequentially connecting the simplified nodes of the adjacent layers to form a central line unit.
Preferably, step 6) may further include dividing the component units into a plurality of groups of subdivided component units by using the dividing node.
A lattice structure of a connection member embedded in a plate structure, characterized in that: expressing the connecting members as simplified nodes on a structural plane of the panel structure; the plate structure grid is divided into plate structure units and plate structure nodes, member units are constructed between the simplified nodes and the plate structure nodes to serve as equivalent units of connecting members, and the structural response of the connecting members in the plate structure surface is simulated; and a connecting unit is arranged between the component unit and the plate structure unit to realize structural response synchronization, and a plurality of copy nodes are created at the coordinate position of the simplified node to replace the simplified node in the plate structure unit.
As can be seen from the above description of the present invention, compared with the prior art, the present invention has the following advantages:
the method and the grid structure of the invention have the advantages that the equivalent units of the connecting members retain the physical characteristics of the members and carry out the freedom degree synchronization and the transmission of the structural response through the one-dimensional units and the plate structure units. The plate structure unit ignores the geometric shape of the embedded connecting member and only retains the central position information of the embedded connecting member, the number of the grids obtained by division is greatly reduced, the numerical calculation scale of a computer is greatly reduced, the solving efficiency is improved, and the solving time is shortened.
The method and the grid structure have the advantages that the copying nodes, the member nodes and the connecting units can be single-layer or multi-layer in the thickness direction of the plate structure, the member units are the same as the plate structure units in type and can be two-dimensional shell units or three-dimensional solid units, the member units simulate the structural response of the connecting members embedded in the plate structure in a load state, the physical characteristics of the embedded connecting structures in the plate structure plane are completely reserved, and the complex physical state of the connecting members can be simulated.
According to the method and the grid structure, when the component units are divided three-dimensional solid units, the simplified nodes of each layer can be connected by using the one-dimensional units, so that the one-dimensional unit columns located at the central line positions of the embedded connecting components are formed, the embedded component response of the components is simulated, and the simulation accuracy of the component units in the plate thickness direction is improved.
According to the method and the grid structure, when the component unit is the segmented three-dimensional entity unit, the component unit can be further segmented through the segmentation node, and the simulation accuracy of the component unit in the plate thickness direction is improved.
Drawings
FIG. 1 is a schematic structural view of a plate structure according to the present invention.
FIG. 2 is a schematic diagram of a structural plane with simplified nodes and gridding;
FIG. 3 is a schematic view of a building element unit according to the present invention;
FIG. 4 is a schematic view of a connecting member constructed in accordance with the present invention;
FIG. 5 is an alternate view of a node of the present invention;
FIG. 6 is a structural sectional view of a three-dimensional solid unit;
FIG. 7 is a view of a component unit A-A in the three-dimensional embodiment of the present invention;
FIG. 8 is a schematic diagram illustrating the construction of a segmentation node to segment a component unit;
1. simplifying nodes; 2. a board structure unit; 3. a plate structure node; 11. copying a node; 12. a component node; 13. segmenting nodes; 21. a connection unit; 22. a member unit; 23. a neutral line unit; 24. and subdividing the component units.
The invention is described in further detail below with reference to the figures and specific examples.
Detailed Description
The invention is further described below by means of specific embodiments.
In the description of the present invention, it is to be understood that the terms "inside", "outside", "side", "middle", and the like, indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, are only for convenience in describing the present invention and simplifying the description, and do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and be operated, and thus, should not be construed as limiting the present invention.
In the description of the present invention, it should be understood that the term "equivalence" refers to simplification of geometric features and physical features of a component, and the physical features of a complex component are expressed by numerical expressions with smaller scale and simpler structure, so as to reduce the calculation scale and shorten the computer solution time. The term "structured surface" refers to a plane of projection that accurately represents the topographical features of a panel structure, typically a side surface, or mid-plane, of a panel structure. The term "thickness direction" means a direction from the "structural plane" toward the other side surface after the "structural plane" is selected. If the selected "structural plane" is the middle plane, the number of "thickness directions" is 2, which are directed to the two side surfaces of the plate structure, respectively.
The invention provides a grid construction method of a connecting component of an embedded plate structure, which comprises the following steps:
1) the connecting members are simplified as simplified nodes 1 on a structural surface grid of a plate structure. In the step, the geometric shape of the connecting member is ignored, only the position information is reserved, and the position of the central point of the connecting member is simplified into a simplified node 1.
2) And (3) carrying out two-dimensional grid division on the structural surface by adopting the geometrical characteristic dimension of the plate structure, and discretizing into a plurality of plate structure nodes 3 and plate structure units 2.
Because the geometric appearance characteristics of the embedded connecting members are completely ignored on the structural surface of the plate structure, only the position information is kept, and the two-dimensional grid division of the structural surface of the plate is carried out by adopting the size of the geometric characteristics of the plate structure, so that the number of the plate structure units 2 can be greatly reduced.
Referring to fig. 2, at the position of the connecting member, a plurality of plate structure units 2 are formed by simplified nodes 1 and peripheral plate structure nodes 3, the number of the plate structure units 2 is defined as N, N is the number of the plate structure units connected with the simplified nodes in a planar grid obtained by grid division of a plate structure surface, N is an integer greater than or equal to 3, and the number is indefinite but usually not greater than 6.
3) On the structural plane of the plate structure, the member unit 22 is constructed as an equivalent unit of the connecting member according to the simplified node 1 and the plate structure node 3. The method specifically comprises the following steps:
3.1) creating several replication nodes 11 in the coordinate position of the simplified node 1, the number of which is N. The replication node 11 is used to achieve the transmission of the structural response between the component unit 22 and the board structure unit 2, and the replication node 11 has the same coordinate values as the simplified node 1. In order to express the connection relationship between the nodes more clearly, the duplicated nodes in the figure are not overlapped with the simplified nodes to better distinguish the two.
3.2) creating member nodes 12 at a distance from the simplified node 1 in the direction of the connection of the simplified node 1 and the plate structure node 3, the number being N. The distance between each component node 12 and the simplified node 1 is kept the same, and can be calculated to obtain the appropriate value, which is the size of the component element 22, as the geometric size of the embedded connecting component. For example, the distance between the member node 12 and the replica node 11 may be equal to the radius of the embedded connection structure, or may be equal to the converted equivalent radius.
3.3) connecting the adjacent component nodes 12 on the structural plane, and connecting the simplified node 1 with each component node to divide into a plurality of component units 22, wherein the number of the component units is N.
4) The connection unit 21 is constructed to enable the transmission of structural responses between the member unit 22 and the board construction unit 2. In the structural aspect, a plurality of member nodes 12 and a plurality of replication nodes 11 are grouped, and a single member node 12 corresponds to a replication node 11 one by one. The member nodes 12 and the replica nodes 11 of each group are connected to form connection units 21, the number of which is N, see fig. 4. The connection unit 21 is a one-dimensional linear unit, and a rigid unit or a flexible unit is used.
5) Node replacement is performed for each board construction unit 2. Referring to fig. 5, the simplified node 1 in each board structure unit 2 is replaced by a duplicated node 11, such that the duplicated node 11 is connected to the board structure node 3.
In the present invention, the replication nodes 11, the member nodes 12, and the connection units 21 may be a single layer or a plurality of layers in the plate structure thickness direction, and the member units 22 may be two-dimensional shell units or three-dimensional solid units of the same type as the plate structure unit 2. When the plate structure is divided into two-dimensional shell units, the connecting members are simplified into a single node on the plate structure surface, the replication nodes 11, the member nodes 12 and the connecting units 21 are all single-layer, and the member units 22 are two-dimensional shell units.
If the plate structure unit 2 needs to be represented as a three-dimensional solid unit, the method further includes step 6) of stretching the plate structure unit 2 in the plate thickness direction, wherein the stretching number of the plate structure unit 2 in the plate thickness direction is represented as SN, and SN is a positive integer greater than 1, and the method specifically includes the following steps:
6.1) copying the plate structure node 3, the copy node 11, the member node 12 and the connection unit 21 for a plurality of times along the plate thickness direction, wherein the times can be SN, forming an SN +1 layer node set and a connection unit 21, and the coordinate values of the nodes in the layer are consistent in the thickness direction.
6.2) sequentially connecting the replication nodes 11 and the plate structure nodes 3 corresponding to the adjacent layers to form the three-dimensional prismatic plate structure unit.
6.3) sequentially connecting the simplified node 1 and the component node 12 corresponding to the adjacent layers to form the three-dimensional prism-shaped component unit.
The number of layers of the replication nodes 11, the member nodes 12 and the connecting units 21 is the same as the number of simplified nodes 1 formed by stretching, the member units 22 are multilayer three-dimensional solid units formed by stretching in the thickness direction of the plate structure, and the number of layers of the member units 22 is the same as the number of stretched layers of the plate structure in the thickness direction.
As shown in fig. 7, when the plate structure is expressed as a three-dimensional solid unit, SN central line units 23 can be created by sequentially connecting simplified nodes 1 of adjacent layers if structural response in the plate thickness direction at the center of the connecting member (e.g., a protruding phenomenon of the connecting member) or penetrating effect of the connecting member (e.g., a heat generation phenomenon of the embedded connecting member) needs to be simulated. The central line unit 23 is located at the center of the connecting member, and is a one-dimensional rod unit or beam unit for simulating the structural response of the embedded member in the plate thickness direction and the embedded physical characteristics of the embedded member (such as heat generation of the embedded member), and the section properties of the unit are obtained by equivalent calculation.
As shown in fig. 8, if it is necessary to simulate the structural response of the connecting member more finely, the member units 22 may be divided by creating the dividing nodes 13 to form a plurality of groups of subdivided member units 24 for simulating the more finely structured response of the embedded connecting member in the plate thickness direction in a three-dimensional state. The subdivision member unit 24 is also a three-dimensional solid unit when the plate structure is expressed as a three-dimensional solid unit.
The invention also proposes a grid structure of connecting members embedded in a panel structure, expressing the connecting members as simplified nodes 1 on the structural plane of the panel structure; the plate structure grid is divided into a plate structure unit 2 and a plate structure node 3, a member unit 22 is constructed between the simplified node 1 and the plate structure node 3 and is used as an equivalent unit of a connecting member, and the structural response of the connecting member in a plate structure surface is simulated; the structural response synchronization between the member unit 22 and the plate structure unit 2 provided with the connection unit 21 creates several copy nodes 11 at the simplified node 1 coordinate positions to replace the simplified node 1 in the plate structure unit 2.
The equivalent units of the connection member of the present invention include the member unit 22, the connection unit 21, the replica node 11, the member node 12, and the like, and the number of the member unit 22, the connection unit 21, the replica node 11, and the member node 12 is the same. The member unit 22 simulates the structural response of a connecting member embedded in a panel structure in a loaded state, which fully preserves the physical characteristics of the embedded connecting structure within the panel structure plane, and is capable of simulating the complex physical state of the connecting member, the structural response of which within the panel structure plane is expressed by the member nodes 12.
The component unit 22 is embedded in the plate structure unit 2 in a position, and the transmission of the structural response is achieved by the connecting unit 21. The central node of the combination of the member units 22 is a simplified node 1, and the structural response of the embedded connection member in the plate thickness direction is simulated by the simplified node 1. Meanwhile, other structural units outside the plate structure can realize structural response transmission with the plate structure units through connection with the simplified node 1.
The board structure unit 2 at the location of the connecting member comprises a copy node 11 at the same location as the simplified node 1, and the function between the member unit 22 and the board structure unit 2 is realized by the copy node 11. Only the position information of the center of the embedded connecting member is kept in the plate structure unit 2, and the geometric shape characteristics of the connecting member are ignored, thereby reducing the number of the plate structure units 2. The degree of freedom of the board building unit 2 at the location of the connecting members is expressed by the replication nodes 11.
The connection unit 21 connects the member node 12 and the replica node 11 in the corresponding direction for connecting the plate structure unit 2 and the member unit 22. When a structural response (e.g., displacement) occurs at a component node 12, a synchronous structural response will occur at the corresponding replica node 11 to which it is connected due to the presence of the connection unit 21. Thereby connecting the board structure unit 2 with the component unit 22 in a unified physical model.
The above description is only an embodiment of the present invention, but the design concept of the present invention is not limited thereto, and any insubstantial modifications made by using the design concept should fall within the scope of infringing the present invention.
Claims (10)
1. A method for constructing a grid of connecting elements embedded in a slab structure, comprising the steps of:
1) simplifying the connecting members into simplified nodes on a structural surface grid of the plate structure;
2) carrying out two-dimensional grid division on the structural surface by adopting the geometric characteristic dimension of the plate structure, and discretizing into a plurality of plate structure nodes and plate structure units;
3) on the structural surface of the plate structure, constructing a member unit as an equivalent unit of a connecting member according to the simplified node and the plate structure node;
4) constructing a connecting unit to realize the transmission of structural response between the component unit and the plate structure unit;
5) and performing node replacement on each plate structure unit, and replacing the simplified nodes in each plate structure unit with the copy nodes.
2. The method of claim 1, wherein in the step 1), the geometric shape of the connection member is ignored, only the position information is retained, and the position of the center point of the connection member is simplified to the simplified node.
3. The method as claimed in claim 1, wherein the panel structure unit is formed by dividing the simplified node and the connection line of each panel structure node in step 2).
4. A method for constructing a grid of connecting elements embedded in a slab structure according to claim 1, wherein in step 3), said unit of construction elements comprises in particular the following steps:
3.1) creating several replica nodes at the simplified node coordinate locations,
3.2) building a member node at a certain distance from the simplified node in the connecting direction of the simplified node and the plate structure node;
and 3.3) connecting the simplified nodes with each component node on the structural plane so as to divide and obtain a plurality of component units.
5. The method of constructing a lattice of connecting members embedded in a panel structure according to claim 4, wherein in the step 4), a plurality of member nodes and a plurality of replica nodes are grouped on the structure plane, and the member nodes and the replica nodes of each group are connected to form the connection unit.
6. A method of constructing a grid of connecting elements embedded in a slab structure as defined in claim 1 or 5, wherein said connecting elements are one-dimensional linear elements, rigid elements or flexible elements.
7. The lattice construction method of a connection member embedded in a plate structure according to claim 5, wherein if the plate structure unit needs to be expressed as a three-dimensional solid unit, further comprising the step 6) of stretching the plate structure unit in a plate thickness direction, comprising the steps of:
6.1) copying the plate structure nodes, the copied nodes, the member nodes and the connecting units for a plurality of times along the plate structure thickness direction to form a plurality of layers;
6.2) sequentially connecting the replication nodes and the plate structure nodes corresponding to the adjacent layers to form a three-dimensional prismatic plate structure unit;
and 6.3) sequentially connecting the simplified nodes and the component nodes corresponding to the adjacent layers to form the three-dimensional prismatic component unit.
8. The method of constructing a lattice of connecting members embedded in a plate structure of claim 7, wherein the step 6) further comprises sequentially connecting the simplified nodes of the adjacent layers to form a central line unit.
9. The method of constructing a lattice of connecting members embedded in a panel structure of claim 7, wherein the step 6) further comprises dividing the member units into a plurality of groups of the subdivided member units using the dividing node.
10. A lattice structure of a connection member embedded in a plate structure, characterized in that: expressing the connecting members as simplified nodes on a structural plane of the panel structure; the plate structure grid is divided into plate structure units and plate structure nodes, member units are constructed between the simplified nodes and the plate structure nodes to serve as equivalent units of connecting members, and the structural response of the connecting members in the plate structure surface is simulated; and a connecting unit is arranged between the component unit and the plate structure unit to realize structural response synchronization, and a plurality of copy nodes are created at the coordinate position of the simplified node to replace the simplified node in the plate structure unit.
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