Relative sensitivity method for optimizing shapes of discrete truss structure and continuum structure
A truss structure, relative sensitivity technology, applied in the direction of instrument, adaptive control, control/regulation system, etc., can solve the problem of small number of discrete variables and so on
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Embodiment 1
[0050] This embodiment is a relative sensitivity method for optimizing the shape of a continuum structure. figure 1 Shown is a schematic diagram of the structure of the pressure vessel continuum. Including the coupling of two types of variables, the structural shape and the cross-sectional size of the pressure vessel, the best target performance is the minimum sum of material cost and welding cost, and the design variable is: X=[x 1 , x 2 , x 3 , x 4 ]=[T s ,T h , R, L], where x 1 , x 2 is the structural section variable, x 3 , x 4 Structural boundary shape variables. The flow chart of the implementation steps of the relative sensitivity method for the shape optimization of the continuum structure pressure vessel in this example is as follows Figure 5 As shown, the details are as follows:
[0051] Step 1. Establish an optimization model for the coupling of two types of variables, the shape of the continuum structure and the size of the section.
[0052] ...
Embodiment 2
[0088] This embodiment is a relative sensitivity method for shape optimization of discrete truss structures. Figure 4 Shown is a schematic diagram of a discrete truss structure with 4 bars and 5 nodes in space. It is known that the modulus of elasticity of each rod is E=6.9×10 6 N / cm 2 , density ρ=0.028N / cm 3, allowable stress [σ] = 17244N / cm 3 , the displacement constraint is that the displacement of node 1 in the x, y, z, and three directions does not exceed 0.77, 1.27, and 1.02, respectively. The working condition is that the forces at node 1 are: Px=1.78×10 5 N, Py=4.45×10 5 N, Pz=-1.34×10 5 N. The best target performance in this example is to minimize the total weight of the truss structure. The two types of variables included in the structural shape and cross-sectional size are the node coordinate design variables x 1 ,y 1 ,z 1 , member section variable A 1 , A 2 , A 3 , A 4 .
[0089] The implementation steps of the relative sensitivity method for shape...
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