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One-dimensional search algorithm for optimal design of building structure

A technology for optimizing design and building structure, which is applied in the field of building structure design and can solve the problem that the optimization design of T-section beam needs to be further improved.

Pending Publication Date: 2020-09-25
XIAN UNIV OF TECH
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] The purpose of the present invention is to provide a one-dimensional search algorithm for the optimal design of building structures, which solves the problem that the optimal design of the current T-shaped cross-section beam needs to be further improved

Method used

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  • One-dimensional search algorithm for optimal design of building structure
  • One-dimensional search algorithm for optimal design of building structure
  • One-dimensional search algorithm for optimal design of building structure

Examples

Experimental program
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Effect test

Embodiment

[0130] The main girder of a T-shaped girder of an integral rib girder floor, known as b′ f =2200mm, h' f =80mm, b=300mm, the environmental category is Class I, a s =25mm, C30 concrete is selected, and the unit price of concrete is 350 yuan / m 3, the unit price of steel bars is 31,000 yuan / m 3 , HRB335 grade steel bar, M max =400KN·m; V max = 450KN·m, try to optimize the design of the cross-section with the lowest cost in mind.

[0131] Substituting the above known data into formula (2) can get:

[0132]

[0133] The objective function in the problem is solved by using a new one-dimensional search iterative algorithm programming operation, and compared with the golden section method. The comparison results are shown in Table 1.

[0134] Table 1 program running results

[0135]

[0136]

[0137] *The true value of the number calculation is about 661.3550 (retaining 4 decimal places),

[0138] The one-dimensional search algorithm calculates the result as h 0 =661...

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Abstract

The invention discloses a one-dimensional search algorithm for the optimal design of a building structure, which is specifically carried out according to the following steps: step 1, constructing an objective function of price C of a unit length beam, the objective function being expressed as a formula (1), and step 2, constructing a constraint condition; 3, simplifying and optimizing the target function, and representing the target function as a formula (2); and 4, solving a minimum value point minC by adopting a one-dimensional search iterative algorithm. According to the one-dimensional search algorithm for building structure optimization design, the optimal solution of T-shaped section reinforced concrete beam section optimization design is solved through one-dimensional search, so that the T-shaped section reinforced concrete beam section optimization design is relatively high in efficiency and relatively high in accuracy.

Description

technical field [0001] The invention belongs to the technical field of architectural structure design, and in particular relates to a one-dimensional search algorithm for optimal design of architectural structures. Background technique [0002] In the field of architectural structure design, there is a T-shaped beam flexural member widely used in engineering structures. For example, the beams of the cast-in-place ribbed beams and the floor slabs are poured together to form T-shaped beams; independent T-shaped beams in prefabricated components. Some prefabricated beams of other cross-section forms, such as I-shaped crane beams, thin-web roof beams, etc., are also considered as T-shaped cross-section flexural members. Compared with the rectangular cross-section beam, the ultimate bearing capacity of the T-shaped cross-section beam is not affected, and the concrete material is saved, and its own weight is reduced, which has certain economic benefits. [0003] At present, the ...

Claims

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Application Information

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IPC IPC(8): G06F30/13G06F30/20G06F111/04G06F111/06
CPCG06F30/13G06F30/20G06F2111/04G06F2111/06
Inventor 雒亿平孟金浩
Owner XIAN UNIV OF TECH
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