fractal geometry 中文意思是什麼
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This paper introduces a typical nonlinear dynamics technique, based on the fractal geometry to achieve quantitative description and automatic analysis of wear particles generated between running friction parts inside diesel locomotive, discusses the model and algorithms of fractus calculation of wear particles, and finally gives the correspondent experimental results, in which wear particle ' s automatic recognition is finished by means of the cooperation of fractal geometry and artificial neural network
本文引入分形幾何這種非線性系統方法來完成對磨粒的定量描述和自動分析，給出分維數演算法模型及相應實驗結果，並結合人工神經網路來完成磨粒的分割與自動識別。 -
Fractal and fractal geometry provide a more exact mathematical model to describe the external world, which broke though the situation limited to euclid geometry and have drawn much attention from chemists, mathematicians, physicists in various disciplines
分形概念的提出及分形幾何學的創立，為人們描述客觀世界提供了更準確的數學模型，引起了自然科學領域和社會科學領域的普遍關注，並在化學、生物學、天文學等諸多領域中得到了廣泛的應用。 -
On the basis of the theory of fractal geometry, the fractal dimension characters of ae signal at different tool wear states were analyzed, an algorithm was provided to decide the scale range which is necessary to calculate the dimension of non - fully - fractal form. the experiments showed that the fractal dimension of ae signal is slightly effected by the changes of cutting parameters ; the variance of the fractal dimensions, which reflects the geometric characters of ae signals, has the same tendency as that of the flank wear, the monitoring system, which takes the fractal dimension of the ae signal as the feature, can identify the different tool wear states more correctly under different cutting conditions
以分形幾何理論為基礎，對刀具不同磨損階段聲發射信號的分形特徵進行分析.提出了計算非完全分形體信號波形的關聯維數時尺度范圍的確定方法，分析了聲發射信號在刀具磨損過程中分形維數的變化特性.刀具磨損切削實驗數據表明，聲發射信號的分形維數受切削參數變化影響較小；分形維數反映了聲發射信號的幾何特徵，其大小能較好地反映刀具的不同磨損狀態.實驗結果表明，該方法能正確地實時在線監測刀具的不同磨損狀態 -
Based on the fractal geometry theory, this paper constructed the fractal geometry of road network, and applied the hausdorff dimension to the overall evaluation of road network
摘要基於分形幾何學理論，構建了公路網的分維數概念，並將其應用於公路網規劃整體性評價。 -
Sem has been used to analyze the microcosmic morphology of cement - rock, xrd to its phase, and imp to the porosity structure. the grading and distribution of the porosity has also been analyzed. the grading of concrete aggregates and porosity have been studied by fractal geometry theory
結石及純水泥漿結石等進行了微觀分析研究，用sem （掃描電鏡）研究結石的微觀形貌，用xrd （衍射）分析結石的物相，用imp （汞壓）法測定結石的孔隙結構，並對結石孔級配及分佈進行了統計分析，用分形理論對混凝土細骨料顆粒級配進行了研究探討。 -
From aesthetics angles, fractal geometry is the combination of science and art is pointed out. the characteristics of aesthetics in fractal geometry : unity, symmetry, strangeness are given
摘要從美學角度指出了分形幾何是科學與藝術的結合。進而，探討了分形幾何中美的特徵：統一性、對稱性與奇異性。 -
Study on the distribution characteristics of the structural planes in rock mass based on the fractal geometry theory
基於分形幾何理論的巖體結構面分佈特徵研究 -
In the end, the theory of fractal geometry is applied to the waves propagation and scattering in atmospheric turbulence, and the first and second order moments of the scattering fields are derived by considering the effects of the fractal atmospheric turbulence. the normalized back - scattering radar cross section of a perfectly conducting disk is calculated. the influence of fractal dimension of atmospheric turbulence on the radar cross section is analyzed
本文最後將分形理論引入到湍流大氣中的波傳播和散射領域，導出了分形大氣湍流中光滑導體目標散射場的一階矩和二階矩，以光滑導體圓盤為例研究了湍流大氣的分維對導體目標後向散射截面的影響。 -
( 5 ) aiming at irregularity of a real fracture surface or a real crack profile, applying griffith ' s criterion and fractal geometry, the real asymptotic expression at the crack tip is developed, and it is discovered that the fractality of the crack reduces the stress singularity at the crack tip
（ 5 ）針對實際斷裂面或裂縫的不規則性，利用griffith能量平衡原理及分形幾何，推導了裂縫尖端實際應力場和位移場的表達式，研究發現，裂縫的分形性減小了裂縫尖端應力的奇異性。 -
Taking suspension bridge anchor of runyang highway bridge as project background in this paper, considering undulating angle of rock mass structural plane, angle of mean square root slope method is established by exerting fractal geometry theory. fractal dimension of profile of rock mass structural plane is calculated by above method. and roughness degree is described quantitatively, furthermore correlativity between fractal dimension and roughness coefficient ( jrc ) is analyzed
本文以潤揚大橋懸索橋錨碇摩阻力研究為工程背景，運用分形幾何理論，從巖體結構面起伏角的角度出發，建立了均方根坡度角法測算巖體結構面剖面輪廓線的分維數，定量描述其粗糙程度，並分析了分維數與粗糙度系數jrc之間的相關關系。 -
Fractal geometry study on structure of jointed rock mass
節理巖體結構的分形幾何研究 -
As the yardstick changes of crack face is following self - similarity physics law, this paper prosecuted several deep researches on the crack face in rock mass as follows : 1 ) the fractal geometry theory is used to study the characteristic of crack face number in rock mass and a research method about three - dimension fractal distribution to crack face in rock mass was brought forward. we calculate the number of crack when the position of the crack face distribution is random and the crack face ' s slant angle and azimuth angle is certain by numeral experiment, and verify that the crack face number in rock mass comforming three - dimension fractal distribution law is correct
1 ）應用分形幾何學理論對裂縫面數量分形分佈進行了研究，提出了巖體裂縫面數量的三維分形分佈研究方法；在巖體裂縫面隨機分佈和裂縫面分組的情況下，用數值試驗方法，分別計算各種剖面不同尺度裂縫跡線條數，證明了「巖體裂縫面數量服從三維分形分佈規律」這一巖體力學的重要物理結論。 -
On adhesive friction coefficient with fractal geometry
粘著摩擦系數的分形幾何研究 -
Non - linear process simulation in virtual environment based on fractal geometry
基於分形幾何的高度非線性過程虛擬模擬技術研究 -
According to theory of fractal geometry, the relations of fragmentation distribution of blasting lumps and the fractals of fragmentation was got, and then established the relation of coal blasting lumps fragmentation of fractal value and parameters of blasting according to field, as well as guides the optimization of blasting parameters, and controls fragmentation of coal blasting, in order to estimate and forecast fragmentation before blasting
摘要根據分形幾何理論得出爆堆塊度分佈和塊度分維數的關聯關系，然後根據現場爆堆塊度分佈建立爆堆塊度分維值與爆破參數的關系，從而達到指導人們進行爆破參數優化，拉制煤體爆破塊度，進行爆前的塊度估算和塊度預測的目的。 -
Some problems related to crack stability of concrete dams in the field of dam monitoring are studied in this dissertation using theories and mathematics such as chaos theory, fractal geometry, artificial neural networks, grey system theory, motion stability theory, catastrophe theory, and so on
本文應用混沌理論、分形理論、人工神經網路、灰色系統理論、運動穩定性理論、突變理論等理論和方法，對大壩安全監測中有關裂縫穩定性的相關問題進行研究。 -
The properties of fractal geometry of systems of urban and rural settlements in xinyang prefecture
信陽地區城鄉聚落體系的分形幾何特徵 -
Application of fractal geometry in 3d - tree modeling
分形幾何在三維樹木建模中的應用 -
Image tracking method based on fractal geometry edge extraction
基於分形幾何邊界提取的圖像跟蹤方法 -
Research on condition monitoring of machinery using fractal geometry
基於分形幾何狀態監測方法的應用研究
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