Coarse particle contraction rule method based on fractal theory
A fractal theory and coarse-grain technology, applied in the field of coarse-grain scaling and coarse-grain scaling based on fractal theory, can solve problems such as difficulty in guaranteeing accuracy and lack of accurate and reasonable regulations for fine-grain content.
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Embodiment 1
[0089] Example 1 A certain engineering original gradation coarse aggregate, gradation see image 3 (b), d 0max =800mm.
[0090] (1) Scaling method of the present invention
[0091] (1) Calculate the original gradation fractal dimension
[0092] Calculate the fractal dimension of the original gradation according to formula (1), and calculate the fractal dimension D 0 =2.40.
[0093] (2) Determine the scaling method
[0094] Depend on Figure 4 It can be seen that D 0 =2.40l =2.50; therefore formula (6) is used to calculate the scale gradation.
[0095] (3) Determine scale grading
[0096] In this example, the maximum particle size of scaled grading d max Take 60mm, 80mm, 100mm, 150mm, 200mm respectively, and use the same fractal dimension of 2.40 to get scaled gradation, see image 3 (b) or numbers (2)-(6) in Table 2.
[0097] Table 2 Calculation Example 1 Coarse Grain Particle Grading Table
[0098]
(1)
(2)
(3)
(4)
(5)
(6)
(7)...
Embodiment 2
[0104] Example 2 For the original gradation coarse-grained material of a certain project, see image 3 (c), d 0max =800mm.
[0105] (1) Scaling method of the present invention
[0106] (1) Calculate the fractal dimension of the original graded coarse aggregate
[0107] According to the formula (1), calculate the fractal dimension of the primary ingredient, and get D 0 =2.60.
[0108] (2) Determine the scaling method
[0109] D. 0 =2.60>D l =2.50, use equations (1) and (2) to determine scale grading.
[0110] (3) Determine scale grading
[0111] when d max When they are 60mm, 80mm, 100mm, 150mm, and 200mm respectively, the maximum allowable fine particle content P after scale down 5l From formula (3), it can be obtained that they are 28.9%, 25.0%, 22.4%, 18.3%, and 15.8%, respectively. scale grading see image 3 (c) or numbers (18)-(22) in Table 3.
[0112] Table 3 Calculation Example 2 Coarse Grain Particle Grading Table
[0113]
(12)
(13)
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