Reticulated shell shape optimization method based on iterative shape finding
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An optimization method and iterative technology, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve the problems of optimal design without considering the coordinate force of reticulated shell nodes, lack of wide applicability, etc.
Active Publication Date: 2020-10-23
TONGJI UNIV
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[0009] However, in the existing related research, most of the research is on the structural form, without considering the force optimization design of the node coordinates of the reticulated shell, which lacks wide applicability
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Embodiment 1
[0100] Select the Kaiwit reticulated shell as the shape optimization object. The initial structure is Kaiwit reticulated shell with a span of 30m and a rise height of 8m. The schematic layout of the structure is shown in figure 2
[0101] The design parameters are shown in Table 1
[0102] Table 1 Design parameters
[0103] Elastic Modulus Material density Member wall thickness Rod outer diameter E(MPa) ρ(kg / m 3 )
t(m) D(m) 2.0×10 5
7850 0.016 0.351
[0104] The shape optimization result is as Figure 4-6 shown.
[0105] As shown in Table 2, after 6 iterations, the converged reticulated shell model loses height to 6.7m, so the overall weight is reduced from 63.4t to 50.61t, and the self-weight of the member is reduced by about 20%. The ratio of axial stress to bending stress increased from 0.76 to 1.48, and the bending stress of the initial model accounted for the majority. After optimization, the value of axial stress gradual...
Embodiment 2
[0110] The initial structural shape and bar size are the same as in Example 1, and a vertically downward load of 10kN is added at each node, according to figure 1 The process of optimizing the initial reticulated shell structure.
[0111] The shape optimization result is as Figure 7 Shown:
[0112] Table 3 Optimization results
[0113]
[0114] The optimization converged after 7 iterations. Although the initial structural shape is the same as the size of the bar, due to the increase of the nodal load, in order to resist the additional external load, the structural shape needs to be changed to minimize the load-induced bending moment, as shown in As shown in Table 3, the height loss of the optimized reticulated shell model becomes 9.1m, so the overall weight is reduced from 63.40t to 54.73t, and the self-weight of the member is reduced by about 14%. Compared with the optimization result of Example 1, the total weight increases 4.57t, the ratio of axial stress to bending ...
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Abstract
The invention relates to a reticulated shell shape optimization method based on iterative shape finding, which comprises the following steps: 1) setting a reticulated shell initial structure, obtaining an initial node coordinate and an initial axial force, and setting an initial external load of the structure; 2) calculating a stiffness matrix of the current iteration stage according to the node coordinates and the axial force of the current iteration stage; 3) setting a boundary condition by adopting a zeroing setting method, and solving a node coordinate of a next iteration stage through anoverall balance equation according to the rigidity matrix, the node coordinate and the external load of the current iteration stage; 4) according to the node coordinates of the next iteration stage and the rigidity matrix of the previous iteration stage, calculating through a unit balance equation to obtain the axial force of the next iteration stage; and 5) setting a convergence condition, if theconvergence condition is satisfied, completing reticulated shell shape optimization, and otherwise, returning to the step 2) until the convergence condition is satisfied. Compared with the prior art,the reticulated shell shape optimization method has the advantages of simple steps, rapid convergence, convenient adjustment, suitability for single-layer and double-layer reticulated shells and thelike.
Description
technical field [0001] The invention relates to the field of reticulated shell structure design, in particular to a reticulated shell shape optimization method based on iterative form-finding. Background technique [0002] The reticulated shell structure is a space structure system composed of rods arranged regularly along the curved surface. With the further increase of structural span and the increasing complexity of structural modeling, traditional spatial structure design concepts and methods cannot fully meet its development needs. Therefore, in order to avoid the disadvantages of traditional design, rationally select the structural scheme, in order to give full play to the material properties and improve the structural efficiency, the optimal design method of engineering structure is adopted. [0003] At present, the optimization of reticulated shell structures is usually divided into two types: cross-section optimization and structural shape optimization. The researc...
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