Coarse particle contraction rule method based on fractal theory
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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.
Active Publication Date: 2013-06-05
HOHAI UNIV
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It can be seen that although the mixing method is a relatively reasonable scaling method, since the specification does not have accurate and reasonable regulations on the content of fine particles, it is essentially an empirical method, and the accuracy is difficult to guarantee.
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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.
[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.
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Abstract
The invention discloses a coarse particle contraction rule method based on fractal theory. The coarse particle contraction rule method based on fractal theory is suitable for particle grade contraction of water conservation and civil engineering coarse particle, can effectively weaken coarse particle contraction effete. As for naturally formed sand-gravel material and generated blasting heap rockfill material through parameter design, the particle grading basically conform to Talbot grading curve, the particle size accord with fractal distribution, and good compacting performance is possessed. The coarse particle contraction rule method is based on the fractal theory, by introducing a grading parameter and a fractal dimension, and puts forward a contraction grading formula that physical mechanics condition is basically uniform on condition that original grading coarse particle appoints maximum control particle diameter dmax. The coarse particle contraction rule method based on the fractal theory specifically comprises the following steps: (1) calculating fractal dimension DO of the original grading; (2), through a relative density ratio test of corresponding ingredient of maximum control particle diameter, and determining a critical fractal dimension DL; (3) calculating grading parameter A according to relationship between the DO and the DL; (4) substituting the grading parameter A and the DO into the grading formula, and obtaining contracted target grading.
Description
1 technical field [0001] The invention aims at the scaling problem of coarse grain materials with fractal characteristics in water conservancy and civil engineering, and in particular relates to a method for scaling coarse grain materials based on fractal theory, which belongs to the fields of water conservancy and civil engineering. 2 background technology [0002] With the widespread use of large vibratory rolling machines, the gradation range of coarse aggregates used in engineering has become wider. For example, the maximum control particle size of rockfill dam materials has reached 0.8-1.0m, far exceeding the laboratory test equipment. The allowable size (at present, a large triaxial instrument with a diameter of 30cm is commonly used in China, and the maximum control particle size is 5-6cm), which cannot be directly used for indoor testing. It is necessary to scale down the original gradation of coarse aggregates to reduce it to indoor testing equipment. within the car...
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