Grouping method for relieving symmetry constraint in discrete rod piece structure optimization
A grouping method and symmetrical technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of low grouping efficiency, error-prone, large workload, etc., to ensure comprehensive, simple and accurate grouping Effect
Inactive Publication Date: 2014-08-06
TSINGHUA UNIV
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Problems solved by technology
For a large number of complex discrete member structures in actual engineering and life, the above processing methods have problems such as heavy workload, low grouping efficiency, and error-prone
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[0037] Example: such as figure 2 As shown, taking the planar six-node bar structure as an example, the planar six-node bar includes six nodes 1, 2, 3, 4, 5, 6, and 11 bars ①, ②, ③, ④, ⑤, ⑥, ⑦, ⑧, ⑨, ⑩, If node 4 is taken as the origin, the straight line where bar ⑥ is located is taken as the X axis, and the straight line where bar ① is located is taken as the Y axis, and a coordinate system is established, then the coordinates of node 4 are (0,0), and the coordinates of other nodes are respectively (0,1), (1,0), (1,1), (2,0), (2,1). It is required that all members and nodes in the structure optimization process are symmetrical about the straight line x=1, and the method of the present invention is used to group the planar six-node member structure, including the following steps:
[0038] 1) Establish the axis of symmetry equation:
[0039] f(x)=x-1=0 (4)
[0040] 2) Calculate the distance d from the node i (i=1, 2, 3, 4, 5, 6) with symmetry requirements to the symmetry ax...
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The invention relates to a grouping method for relieving the symmetry constraint in discrete rod piece structure optimization. The grouping method comprises the following steps of (1) initializing a coefficient of a symmetry plane / shaft; (2) calculating distances d between nodes and the symmetry plane / shaft; (3) respectively storing the nodes with d shorter than 0, d longer than 0 and d equal to 0 into a first storage unit, a second storage unit and a third storage unit; (4) calculating coordinates of the nodes in the first storage unit about a symmetry point of the symmetry plane / shaft; (5) searching the node from the second storage unit, wherein the distance between the node and the symmetry point is less than a preset minimum value; (6) storing a node pair into a fourth storage unit; (7) judging whether all the nodes in the first storage unit are subjected to the steps (4)-(6); (8) numbering rod pieces and storing the rod pieces into a fifth storage unit, calculating the number of the rod pieces in the fifth storage unit, and initializing an index parameter; (9) searching nodes at two ends of the first rod piece in the fifth storage unit, and searching symmetry nodes of the nodes from the fourth storage unit; (10) judging whether the two nodes connected with the rod piece are symmetry nodes; (11) judging whether the index parmeter is equal to the number of the rod pieces; and (12) judging whether the fifth storage unit is an empty set.
Description
technical field [0001] The invention relates to a method for grouping according to symmetry constraint requirements, in particular to a grouping method for solving symmetry constraints in discrete bar structure optimization. Background technique [0002] In actual engineering and life, discrete member structures such as trusses and beam frames are widely used. In order to improve the comprehensive performance of discrete member structures, relevant scholars have introduced optimization methods into discrete member design. At present, the structural optimization of discrete members is one of the very important research directions in the field of structural optimization. According to the content of optimization, discrete member optimization can be divided into topology optimization, size optimization and shape optimization, in which the value of the topology design variable of topology optimization corresponds to the existence or deletion of the member, and the value of the di...
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Inventor 范子杰钟薇苏瑞意桂良进
Owner TSINGHUA UNIV