Structural shape-topology joint optimization method under design-related pressure loads
A joint optimization and pressure technology, applied in design optimization/simulation, special data processing applications, geometric CAD, etc., can solve problems such as poor practicability and achieve good practicability.
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[0039] refer to Figure 1-3 . The present invention is illustrated by taking the shape-topological joint optimization design of the plane fixed beam under the action of snow load as an example. Under the snow load of 10Gpa, there is a non-design domain with a thickness of 0.1mm at the pressure boundary. Specific steps are as follows:
[0040] Step 1: Divide the design domain 3 into a square grid with a side length of 1 / 6mm.
[0041] Step 2: Using an implicit B-spline curve to describe the pressure boundary 1 of the structure, and calculating the level set function value of the pressure boundary 1 at the grid node (x, y). The B-spline curve describing the pressure boundary 1 consists of 12 control points P 1 ,P 2 ,...,P 12 Determined, the level set function of pressure boundary 1 is implicitly expressed by the following formula:
[0042]
[0043] In the formula, m s is the number of control points of the B-spline curve, y i is the i-th control point P i The y-coord...
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