A Method for Determining Optimal Structure Size Based on Hypervolume Iterative Global Optimization Algorithm

A global optimization and structural size technology, applied in multi-objective optimization, design optimization/simulation, calculation, etc., can solve problems such as computational efficiency is not as good as exhaustive method, algorithm is premature, etc.

Active Publication Date: 2018-09-14
BEIHANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

These algorithms are highly versatile and suitable for transplantation to various problems, but such algorithms are prone to premature maturity, and sometimes the computational efficiency is not even as good as the exhaustive method

Method used

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  • A Method for Determining Optimal Structure Size Based on Hypervolume Iterative Global Optimization Algorithm
  • A Method for Determining Optimal Structure Size Based on Hypervolume Iterative Global Optimization Algorithm
  • A Method for Determining Optimal Structure Size Based on Hypervolume Iterative Global Optimization Algorithm

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Embodiment 1

[0048] In order to understand the characteristics of the invention and its ability to solve the global optimization problem of structure size more fully, the present invention is used for such as Figure 5 A typical structural response function is shown for finding the global optimum. The names of the methods compared with the present invention are shown in Table 3, and the object to be compared is the number of times the target response function is called during the optimization process, which is also a commonly used index. The properties of the target response function are shown in Table 4. The obtained results are shown in Table 1 and Table 2.

[0049] Table 1 is the number of times that the present invention and other methods carry out global optimization call function to typical structure response function

[0050]

PIJ

BAT

STR

ZIL

GA

TRUST

IA

HVI

Fcn.1

462

120

45

33

220

19

---

209.7

Fcn.2

...

Embodiment 2

[0060] trigger mechanism such as Figure 6 As shown, the A end is the fixed support end. It is known that L=5cm, δ=1mm, ω 0 =1000Hz, the elastic modulus of the structural material E=210GPa, and the bulk density is 7800Kg / m 3 ; Member cross-sections are all squares of a×a. Now it is necessary to optimize the side length of the cross-section of the trigger mechanism so that when the excitation amplitude exceeds 5N, the B terminal just contacts the support and turns on the circuit switch.

[0061] First, the target structure is discretized using the finite element method, such as Figure 7 shown. Through the method proposed by the present invention, the optimal cross-section side length of the trigger mechanism is obtained to be 1.61mm. The method of the present invention calls the target response function for 37 times, while using a global optimization algorithm such as a genetic algorithm needs to call the target response 110 times to obtain the global optimal value, which...

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Abstract

The invention discloses a method for determining optimum structure sizes on basis of a hyper-volume iteration global optimization algorithm. According to the method, the hyper-volume iteration global optimization algorithm is utilized to optimize target functions of structure responses (such as displacement, frequency, stress and the like), so as to determine optimum structure sizes. The method can be used for the conditions that the target functions of the structure responses are continuous or discontinuous, guidable or unguidable and implicit or explicit. The optimization algorithm comprises the following steps of: firstly utilizing a self-adaptive Simpson formula to calculate hyper volumes of the target functions of the structure responses and using the hyper volumes as iterative convergence criterions; extracting integral nodes and selecting a node, the response of which is minimum or maximum or satisfies a given value as an approximate global optimum solution; and finally using other convex optimization methods to iterate the found approximate optimum solution to find a global optimum value and the obtain an optimum size of a structure.

Description

technical field [0001] The present invention relates to the technical field of structure size optimization, in particular to a method for determining optimal structure size based on hypervolume iterative global optimization algorithm Background technique [0002] The objective world is basically nonlinear, and finding the optimal value of a nonlinear function plays a big role in engineering, science, management, and economics. For example, in aerospace engineering, it is necessary to determine the optimal structural size and optimal aerodynamic shape parameters, so as to reduce the structural weight, improve the aerodynamic efficiency of the aircraft, and then improve the performance of the aircraft; in the field of machine learning and pattern recognition, it is necessary to optimize the neural network. The weight of each connection node of the network to minimize the training error; in the field of chemistry, it is necessary to determine the optimal ratio of reagents to ac...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/23G06F2111/06
Inventor 王晓军刘易斯王磊罗振先
Owner BEIHANG UNIV
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