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Nonlinear Science and Its Medical Applications

Tu Chengyuan,Zeng Yanjun

Strategic Study of CAE 2003, Volume 5, Issue 8, Pages 45-49

Abstract:

The fractal-dimension theory and the Shannom entropy theory of nonlinear science are briefly describedThe grid-dimension values and the Shannom entropy values of P-wave and those of f-wave are computed.

Keywords： complicated and large system nonlinear fractal theory fractal-dimension Shannom entropy AF(atrial fibrillation

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Hierarchical fractal structure of perfect single-layer graphene

T. Zhang, K. Ding

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 4, Pages 371-382 doi: 10.1007/s11465-013-0279-1

Abstract: Two efficient methods for calculating the fractal dimension of this fresh member was also provided.The outer boundary curve had a fractal dimension equal to one, and a multi-fractal structure from a naturallyA series of strict self-similar hexagons comprised a rotating fractal set.existing regular fractal structures and sets.A fundamental example of a multi-fractal structure was also presented.

Keywords： hierarchical fractal structure fractal dimension the fifth space-filling curve multi-fractal structure

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PD pattern recognition based on multi-fractal dimension in GIS

ZHANG Xiaoxing, YAO Yao, TANG Ju, ZHOU Qian, XU Zhongrong

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 3, Pages 270-275 doi: 10.1007/s11465-008-0042-1

Abstract: The multi-fractal dimension is founded on the box-counting dimension and multi-fractal theories.The GIS gray intensity images distillation methods, based on multi-fractal characteristics, is put forwardThe box-counting dimension, multi-fractal dimension, and discharge centrobaric characteristics of the

Keywords： substation high-speed discharge centrobaric network ultra-high frequency

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Aggregating structure in coal water slurry studied by eDLVO theory and fractal dimension

Qiang LI, Qian WANG, Jian HOU, Jiansheng ZHANG, Yang ZHANG

Frontiers in Energy 2023, Volume 17, Issue 2, Pages 306-316 doi: 10.1007/s11708-021-0736-1

Abstract: this paper, the micro-structure in coal water slurry was studied by extended DLVO (eDLVO) theory and fractaldimension, which is used to explain the mechanism of stability in large particle suspension systems.stability between different types of coals are measured and explained by the aggregating structure and fractaldimension in coal water slurry.This aggregating structure can be described and characterized by fractal dimension.

Keywords： coal water slurry extended DLVO (eDLVO) fractal dimension stability

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A new proof of Honeycomb Conjecture by fractal geometry methods

Tong ZHANG, Kai DING

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 4, Pages 367-370 doi: 10.1007/s11465-013-0273-7

Abstract:

Based on fractal geometry, we put forward a concise and straightforward method to prove HoneycombFrom this point of view, honeycomb is treated as a hierarchical fractal structure that fully fills the

Keywords： Honeycomb Conjecture fractal geometry hierarchical fractal structure

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Theoretical study on the confine-stiffening effect and fractal cracking of square concrete filled steel

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 6, Pages 1317-1336 doi: 10.1007/s11709-021-0763-3

Abstract: to accurately predict the tensile strength and stiffness enhancements and realistically simulate the fractal

Keywords： square concrete filled tubes confine-stiffening confine-strengthening fractal cracking fracture

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Copper fractal growth during recycling from waste printed circuit boards by slurry electrolysis

Frontiers of Environmental Science & Engineering 2021, Volume 15, Issue 6, doi: 10.1007/s11783-021-1405-7

Abstract:

• Copper fractal growth was observed during WPCBs recycling by slurry

Keywords： Dendritic copper Fractal growth WPCBs Slurry electrolysis

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Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 4, Pages 840-854 doi: 10.1007/s11465-021-0643-5

Abstract: In this paper, an improved fractal interpolation model is proposed to reconstruct the surface topographyFractal parameters are calculated to evaluate the measured surface profiles.The maximum and minimum fractal dimension of the hole wall are 1.36 and 1.07, whereas the maximum andminimum fractal roughness are 4.05 × 10 ⁻⁵ and 4.36 × 10 ⁻¹⁰ m, respectively.Fractal parameter D _s and statistical parameters Sa, Sq, and Sz

Keywords： surface topography fractal evaluation fractal interpolation reconstruction composite

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Permeability analysis and seepage process study on crystal layer in melt crystallization with fractal

Xiaobin JIANG, Baohong HOU, Yongli WANG, Jingkang WANG

Frontiers of Chemical Science and Engineering 2011, Volume 5, Issue 4, Pages 435-441 doi: 10.1007/s11705-011-1139-3

Abstract: In this paper a porous media seepage model was applied to analyze the permeability and study the seepage process of crystal pillar formed in the preparation of electronic grade phosphoric acid (EGPA). By inspecting the seeping process, the structure parameter of crystal pillar could be obtained. Two basic ideal models (perfectly separated model and perfectly connected model) were presented and a characterized factor was introduced to modify the model. A good simulation result was obtained which met the experiment result well. The relationship between and permeability were also discussed. The characterized factor showed potential application on optimizing process.

Keywords： melt crystallization porous media fractal permeability hyperpure material simulation

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Optimal slot dimension for skirt support structure of coke drums

Edward WANG, Zihui XIA

Frontiers of Mechanical Engineering 2018, Volume 13, Issue 4, Pages 554-562 doi: 10.1007/s11465-018-0513-y

Abstract:

The skirt-to-shell junction weld on coke drums is susceptible to fatigue failure due to severe thermal cyclic stresses. One method to decrease junction stress is to add slots near the top of the skirt, thereby reducing the local stiffness close to the weld. The most common skirt slot design is thin relative to its circumferential spacing. A new slot design, which is significantly wider, is proposed. In this study, thermal-mechanical elastoplastic 3-D finite element models of coke drums are created to analyze the effect of different skirt designs on the stress/strain field near the shell-to-skirt junction weld, as well as any other critical stress locations in the overall skirt design. The results confirm that the inclusion of the conventional slot design effectively reduces stress in the junction weld. However, it has also been found that the critical stress location migrates from the shell-to-skirt junction weld to the slot ends. A method is used to estimate the fatigue life near the critical areas of each skirt slot design. It is found that wider skirt slots provide a significant improvement on fatigue life in the weld and slot area.

Keywords： coke drum stress analysis cyclic stress fatigue life skirt slots

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Application of fractal theory to unsaturated soil mechanics

XU Yongfu, TONG Lixin

Frontiers of Structural and Civil Engineering 2007, Volume 1, Issue 4, Pages 411-421 doi: 10.1007/s11709-007-0056-5

Abstract: The fractal approach seems to be a potentially useful tool to describe hierarchical systems and is suitablefor the pore-size distribution, and were expressed by only two independent physical parameters, the fractaldimension and the air entry value.between the experimental results of unsaturated hydraulic conductivity and the predictions of the both fractaland the van Genuchten-Mualem model were also performed, and it was found that the predictions of the fractal

Keywords： selection soil-water independent physical unsaturated strength

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Study of the Relationship Between Fractal Model Parameters and Roughness Parameter R_a

Pan Yuliang,Wu Liqun,Zhang Yundian

Strategic Study of CAE 2004, Volume 6, Issue 5, Pages 49-51

Abstract:

The W-M fractal model and the physical meaning of fractal parameters (D, G，y) are briefly introduced

Keywords： W-M fractal model fractal parameters roughness R_a

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Immunometabolism: a new dimension in immunotherapy resistance

Frontiers of Medicine 2023, Volume 17, Issue 4, Pages 585-616 doi: 10.1007/s11684-023-1012-z

Abstract: Herein, we elaborate potential mechanisms underlying immunotherapy resistance from a novel dimension

Keywords： immune cell immunometabolism metabolic reprogramming immunotherapy resistance tumor microenvironment immune checkpoint inhibitor

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A New Algorithm of Fractal Image Coding

Wang Xiuni,Jiang Wei,Wang Licun

Strategic Study of CAE 2006, Volume 8, Issue 1, Pages 54-57

Abstract:

Because it takes too much of time in fractal image coding, the paper analyses the factors that affectthe speed of fractal image coding , and proposes a novel idea by using the reformed variance (tentatively) to improve image fractal compression performance .Moreover , it gives a novel fractal image compression method based on the reformed variance.

Keywords： fractal coding image compression variance

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Diagnosis method based on wavelet coefficient scale relativity correlation dimension for fault

GU Junjie, TIAN Jin, PENG Xuezhi

Frontiers in Energy 2008, Volume 2, Issue 2, Pages 164-168 doi: 10.1007/s11708-008-0031-4

Abstract: Correlation dimension as a tool to describe machinery condition is introduced.The correlation dimension is able to identify conditions of the fan with faults compared with the normal

Keywords： effective technology monitoring mechanical equipment relativity Correlation