CN111353262B - Grid discrete improvement method based on Cutcell technology in structural analysis - Google Patents
Grid discrete improvement method based on Cutcell technology in structural analysis Download PDFInfo
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Abstract
The invention discloses a grid discrete improvement method based on Cutcell technology in structural analysis, which comprises the following steps: dividing the structural analysis model into grids by adopting a Cutcell technology; directly taking the whole internal grid as a discrete computation node for the internal grid in the structural analysis model; the external grids outside the structural analysis model are not considered; for the boundary grid, the coordinates (x) of the center position of the boundary grid are obtainedi,yi) And the central position of the boundary grid is mapped to the corresponding tangent coordinate at the boundary of the structural analysis model
Judgment of
If the central position of the boundary grid is located on the outer side of the structural analysis model boundary, the boundary grid is subjected to triangular half-and-half subdivision, the triangular grid close to the outer side of the structural analysis model boundary is taken as a discrete calculation node, and if the central position of the boundary grid is located on the inner side of the structural analysis model boundary, the whole boundary grid is taken as a discrete calculation node.
Description
Technical Field
The invention relates to the technical field of grid dispersion in structural analysis, in particular to a grid dispersion improvement method based on a Cutcell technology in structural analysis.
Background
The Cutcell technology, namely the rectangular coordinate system grid division technology, is a grid discrete technology commonly used in the field of fluid simulation at present. By the Cutcell technology, Cutcell grids can be divided quickly, and then an upper boundary layer is attached to the boundary area. The method solves the problems of overlarge workload of hexahedron division of a complex structure and limited calculation precision of the tetrahedron. In fluid simulation, using a suitable Cutcell technique, Cartesian grids can achieve simulation results similar to complex non-Cartesian grids for complex non-rectangular geometries.
With the improvement of the structural complexity, the structural calculation scale and the requirement of solving precision, the structural analysis body structural discrete modeling provides higher requirements than the fluid analysis grid, and the traditional structural analysis grid discrete mode-grid mapping division and free adaptation division can meet the requirements of the grid which is difficult to structurally analyze.
Disclosure of Invention
Aiming at the problems and the defects in the prior art, the invention provides a grid discrete improvement method based on the Cutcell technology in structural analysis.
The invention solves the technical problems through the following technical scheme:
the invention provides a grid discrete improvement method based on Cutcell technology in structural analysis, which is characterized by comprising the following steps:
s1, carrying out grid division on the structural analysis model by adopting a Cutcell technology according to the set grid size;
s2, directly taking the whole internal grid as a discrete calculation node for the internal grid in the structural analysis model; for external grids outside the structural analysis model, the external grids are not considered; for each boundary grid positioned on the boundary of the structural analysis model, acquiring the coordinates (x) of the center position of the boundary gridi,yi) And the central position of the boundary grid is mapped to the corresponding tangent coordinate at the boundary of the structural analysis model
Judgment of
If yes, the central position of the boundary grid is positioned in the structural analysis moduleAnd performing triangular half-and-half subdivision on the boundary grid at the outer side of the type boundary, taking the triangular grid close to the outer side of the boundary of the structural analysis model as a discrete calculation node, and taking the whole boundary grid as the discrete calculation node if the triangular grid is not close to the outer side of the boundary of the structural analysis model, and if the triangular grid is not close to the inner side of the boundary of the structural analysis model, indicating that the central position of the boundary grid is positioned at the.
The positive progress effects of the invention are as follows:
the patent provides a discrete modeling method for applying Cutcell technology to structural analysis, aiming at the improvement of Cutcell grid technology, the method is suitable for structural analysis, and meets the characteristics of continuity and harmony of structural analysis grids.
The invention provides a grid discrete modeling method for applying Cutcell technology to structural analysis, which is characterized in that the Cutcell technology is applied to structural analysis discrete modeling, an internal domain does not need to be changed, a relative position relation between a boundary appearance and a grid center needs to be judged for a boundary domain, judgment is carried out, and a boundary grid is subjected to related subdivision, so that field function reconstruction and a related displacement boundary are carried out. The Cutcell technology is applied to structural mesh subdivision, rapid modeling of a complex structure can be achieved, the fact that meshes in a domain are hexahedral meshes is guaranteed, accuracy of pretreatment is guaranteed, and meanwhile manual treatment efficiency of pretreatment is improved.
Drawings
Fig. 1 is a flowchart of a grid discretization improving method based on the Cutcell technology in the structural analysis according to the preferred embodiment of the present invention.
FIG. 2 is a diagram illustrating a grid partitioning of a structural analysis model according to a preferred embodiment of the present invention.
FIG. 3 is a schematic diagram of the boundary mesh processing of the structural analysis model according to the preferred embodiment of the invention.
FIG. 4 is a schematic diagram illustrating the Cutcell technology applied to the structural grid discretization according to the preferred embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
As shown in fig. 1, this embodiment provides a grid discretization improvement method based on the Cutcell technology in structural analysis, including the following steps:
and S1, carrying out mesh division on the structural analysis model by adopting a Cutcell technology according to the set mesh size (see FIG. 2, wherein the boundary mesh on the right side applies a displacement boundary, and the boundary mesh on the top applies a pressure boundary).
S2, for the internal grids in the structural analysis model, the whole internal grid is directly taken as a discrete calculation node, and the displacement field function reconstruction can be carried out by utilizing the incidence relation between the coordinates of the grid nodes and the nodes, so that the requirement of solving a control differential equation is met.
For external meshes outside the structural analysis model, no structural calculation is involved, and therefore its influence is not considered.
For each boundary grid positioned on the boundary of the structural analysis model, acquiring the coordinates (x) of the center position of the boundary gridi,yi) And the central position of the boundary grid is mapped to the corresponding tangent coordinate at the boundary of the structural analysis model
If it is not
As shown in point I in fig. 3, it is described that the center position of the boundary grid is located outside the boundary of the structural analysis model, and at this time, the boundary grid is triangularly divided into two halves, and the triangular grid close to the outside of the boundary of the structural analysis model is taken as a node of discrete computation.
If it is not
As shown by the point J in fig. 3, it is indicated that the center position of the boundary grid is located inside the structural analysis model boundary, and at this time, the entire boundary grid is taken as a node of the discrete computation.
In fig. 2 and 3 p (x) denotes the boundary pressure, u denotes the displacement, Sf denotes the force boundary, Su denotes the displacement boundary, Ω denotes the spatial domain of the structural grid,
a constraint boundary field representing a grid,
representing free boundary domains in a fabric network.
According to the method, the Cutcell technology is applied to structural analysis discrete modeling, the internal domain does not need to be changed, the relative position relation between the boundary appearance and the grid center needs to be judged for the boundary domain, the judgment is carried out, and the boundary grid is subjected to related subdivision, so that the reconstruction of a field function and the related displacement boundary are carried out. The Cutcell technology is applied to structural mesh subdivision, rapid modeling of a complex structure can be achieved, the fact that meshes in a domain are hexahedral meshes is guaranteed, accuracy of pretreatment is guaranteed, and meanwhile manual treatment efficiency of pretreatment is improved.
As shown in fig. 4, applied to the structural analysis discrete modeling improvement by the Cutcell technology, a full hexahedral structured grid is adopted in the domain, and manual intervention is hardly required, so that an engineer can be prevented from suffering from grid division. The boundary condition satisfaction is ensured by subdividing and modifying the Cartesian grid on the boundary domain, so that the structural analysis solving analysis requirement is met.
While specific embodiments of the invention have been described above, it will be appreciated by those skilled in the art that these are by way of example only, and that the scope of the invention is defined by the appended claims. Various changes and modifications to these embodiments may be made by those skilled in the art without departing from the spirit and scope of the invention, and these changes and modifications are within the scope of the invention.
Claims (1)
1. A grid discrete improvement method based on Cutcell technology in structural analysis is characterized by comprising the following steps:
s1, carrying out grid division on the structural analysis model by adopting a Cutcell technology according to the set grid size;
s2, directly taking the whole internal grid as a discrete calculation node for the internal grid in the structural analysis model; for external grids outside the structural analysis model, the external grids are not considered; for each boundary grid positioned on the boundary of the structural analysis model, acquiring the coordinates (x) of the center position of the boundary gridi,yi) And the central position of the boundary grid is mapped to the corresponding tangent coordinate at the boundary of the structural analysis model
Judgment of
And if not, the central position of the boundary grid is positioned inside the boundary of the structural analysis model, and the whole boundary grid is taken as a node for discrete computation.
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