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isotropy

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isotropy n.各向同性(現象)，無向性，均質性。

n. 各向同性(現象)，無向性，均質性。 “assumption of isotropy“ 中文翻譯：   各向同性假設“elastic isotropy“ 中文翻譯：   彈性各向同性“geometric isotropy“ 中文翻譯：   幾何迷向“group of isotropy“ 中文翻譯：   迷向群; 同位素組“isotropy condition“ 中文翻譯：   各向同性條件“isotropy group“ 中文翻譯：   迷向群“optical isotropy“ 中文翻譯：   光學蛤同性; 光學各向同性“orthogonal isotropy“ 中文翻譯：   正交異方性“quasi isotropy“ 中文翻譯：   類各向同性; 偽蛤同性; 偽各向同性; 準無向性“subgroup of isotropy“ 中文翻譯：   迷向子群“transverse isotropy“ 中文翻譯：   橫觀蛤同性; 橫觀各向同性; 橫向同性“transversely isotropy“ 中文翻譯：   橫觀各向同性“linear group of isotropy“ 中文翻譯：   線性迷向群“linear isotropy group“ 中文翻譯：   線性迷向群“orthogonal isotropy (or orthotropy)“ 中文翻譯：   正交異方性“tra verse isotropy“ 中文翻譯：   橫觀蛤同性“transverse isotropy of elasticity“ 中文翻譯：   彈性橫向各向同性“isotropous“ 中文翻譯：   等向彎的; 各向同性的; 均勻的; 均質的“isotropization“ 中文翻譯：   各向同性化; 均質化“isotroy“ 中文翻譯：   單折射“isotropism“ 中文翻譯：   n. 【物理學】各向同性(現象)。 “isotruxillic acid“ 中文翻譯：   吐星酸“isotropiegruppe stabilizer“ 中文翻譯：   迷向群“isotsuchi“ 中文翻譯：   五十土“isotropicplane“ 中文翻譯：   迷向面

isotype

The high similarity in shapes and large overlapping areas of corresponded contours on adjacent cross - sectional are main conditions in reconstructing surface correctly . in accordance with the disadvantage of blurring caused by traditional gray - level interpolation methods , this dissertation introduces a method to interpolate 3d images based on point matching approach to get 3d isotropy volume data . with respect to non - similar shapes or no superposition of corresponded contours on adjacent slices and concave contours , this dissertation presents a method for shape - based interpolation based on nonuniform scale bounding box 相鄰斷層上對應輪廓區域的形狀相似和重疊部分大是保證重建表面正確性的重要條件，針對傳統灰度插值容易引起模糊邊界的缺點，本文采用基于對應點匹配的方法進行灰度插值，以獲得各向同性的三維數據；針對相鄰斷層間對應輪廓的形狀不相似，位置不重合和有凹輪廓線的情況，提出一種基于包圍盒非均勻比例放縮的形狀插值方法。

Determination method of the damage threshold stress and damage threshold strain is given , six kinds of damage variables ( which are across isotropy effectual elastic modulus damage variable , simple effectual elastic modulus damage variable , density damage variable , volume damage variable , volume density damage variable and area density damage variable ) are defined , evolution curves and evolution equations of harden yield damage are obtained 提出了損傷應力和應變門檻值的確定方法，并定義了六種損傷變量(即橫觀各向同性有效彈性模量損傷變量，簡單有效彈性模量損傷變量，密度損傷變量，體積損傷變量，體積密度損傷變量和面積密度損傷變量) ，在此基礎上得出了硬化屈服損傷過程中的損傷演化曲線和演化方程。

The analyst of isotropy indicated that the sample spots of 12 soil nutrient contents ( except total nitrogen ) were correlated in given spatial range . the semi - variogram values increased when the distances were enlarged , and nugget lied in , which meant the existence of spatial variability structure , and sample spots were correlated in the 50 - meter of sampling distance 各向同性分析的結果表明： 12種(除全氮)土壤養分在一定的范圍內觀測值之間存在著空間相關性，變異函數( h )隨間距增大而增大，且有基臺值，說明存在空間變異結構特征，在50m的采樣間距內存在空間相關性。

The sensitivity and stiffness isotropy indices of the 5 - axis sensor with 4sps & 1upu structure are studied with the application of the theory of physical model of the solution space are studied , and the indices sensitivity and stiffness atlases are plotted . the law of sensitivity and stiffness the indices following the changing of structure parameters is summarized 運用空間模型理論對4 - sps & 1 - upu結構五維力/力矩傳感器的靈敏度和剛度進行了研究，繪制了靈敏度、剛度與結構尺寸的性能圖譜，在對性能圖譜的分析基礎上總結了各項性能指標隨結構參數的變化關系。

Theoretically microwave transmission in electrorheological fluids was studied . according to the experimental facts that the structure transformation of er fluids from isotropy to anisotropy , and the dielectric properties of er fluids change with the external electric field , the model of microwave propagation through er fluids has been established 依據外電場作用下電流變液結構由各向同性轉變為各向異性，從而引起介電性能改變的實驗事實，建立了電磁波在電流變液中透射行為的理論模型，導出了透射率的基本表達形式。

2 we use the sample of sem for different fe content have carried out shape look observation to show , sample from orientaton isotropy and distribution comparatively even approximate inlay mutually for spherical tiny granular to enter form , the average grain way in film 1 . 298 m ~ 2 . 158 urn satisfy each fe and cu granular average grain in lognormal distribution and annealing sample between diameter , between mean distance than do not the defect of little , explanation annealing sample of annealing sample is more few , tiny structure is much better , has more steady property 2 、用sem對不同fe含量的樣品進行了形貌觀測表明；樣品由取向各向同性、分布較均勻的近似為球形的微顆粒相互嵌入構成，膜中的平均粒徑在1 . 298 m 2 . 158 m之間滿足對數正態分布，退火樣品中的各fe 、 cu顆粒平均粒徑、平均間距比未退火樣品的小，說明退火樣品的缺陷更少，微結構更佳、性能更穩定。

In this paper , kinematics analysis modules of the reconfigurable modular parallel micromanipulator are researched , which consists of position analysis module , velocity module , acceleration module , algorithm of jacobin matrix , property index of velocity and acceleration which including decoupled character , isotropy , extremum of velocity and acceleration and so on 包括位置分析模塊、速度、加速度分析模塊，以及雅可比矩陣的算法，速度、加速的性能指標：解耦性、各向同性度、極值指標等，為并聯微動機器人控制軟件模塊化設計奠定了基礎。

The isotropy analyses indicated : the nitrogen density spatial distribution of 0 ~ 100cm depth displays the interest of moderate spatial correlation , its theory pattern accords with the exponential model . but the nitrogen density spatial distribution of 0 ~ 30cm depth is the very feeble correlation , its theory pattern accords with the spherical model 各向同性空間分析結果表明， 0 100cm土壤層厚度氮密度的空間分布體現為中等的空間相關性，它的理論模型符合指數模型；而0 30cm土壤層氮密度的空間分布則體現為很弱的相關性，它的理論模型符合球狀模型。

But the precondition of this method is that the material must be the elastic isotropy . for the elastic anisotropy , because of the difference in the each direction of mechanical properties , actually , the result of the nanoidentation load - displacement data is the synthesis of the mechanical properties in every direction 但是這種方法的一個前提是各向同性的材料，對于各向異性的材料，因為機械性質在各個方向上不同，所以在一個方向上的壓痕試驗結果實際上是各個方向不同材料性質的一個綜合值。

The static performance indices of the sensor rest with its static mathematics model . therefore , in view of the convenient farther research , the thesis in detail deduces the jacobian matrix of the 6 - dof force / torque sensor on the steward platform , while the coordinate system is on the upper platform . it also studies the isotropy indices and generalized amplifying coefficients of the sensor 本文在前人研究的基礎上，詳細的推導了當坐標系建立在六維力傳感器的上平臺時，六維力傳感器的力雅克比矩陣的解析表達式，并對六維力傳感器的各向同性指標以及廣義放大倍數指標進行了進一步深入的研究與分析。

The main contents are as follows . ( 1 ) filter cloth and the surrounding soil mass are taken as an approximate isotropy in horizontal section , the relationship of stress and strain is studied , the anisotropy is fully considered , the constitutive model of filter cloth reinforcement fly - ash compound is obtained , it is tested with numerous indoor experiments . ( 2 ) the permeable coefficient is introduced into the constitutive relationship of soil mass with relevant seepage theory ( kozeny - carman experience formula ) . the test of filter cloth depositing hi the condition of long term seepage flow is done hi the dissertation , the varying regular of permeable coefficient without pressure is presented 本文首先對國內外的研究現狀作了回顧和總結，然后主要針對土工織物加筋粉煤灰復合體的本構關系和計算理論進行研究，主要內容有： （ 1 ）將土工織物和周圍土體視為一種近似的彈性非線性橫觀各向同性體，研究它的應力應變關系，充分考慮它的各向異性，得到土工織物加筋粉煤灰復合體的本構模型，然后通過大量室內試驗進行分析驗證； （ 2 ）引入有關滲流理論，即柯茲尼-卡爾曼（ kozeny - carman ）經驗公式，將滲透系數引進到土體本構關系中。

First , the concept of physical model of the solution space , jacobian and force condition are presented . the isotropy indices of 3 - axis f / t sensor of the platform structure and discoupling structure are studied , and the law of the indices following the changing of structure parameters is summarized 首先介紹了空間模型理論與雅可比矩陣及條件數的概念，分析了三維力傳感器在平臺式結構和解耦結構情況下的力各項同性性能，總結了兩種情況下的力各向同性性能隨參數的變化規律。

Proposed an improved algorithm for traditional radial basis functions used in image morphing technology . based on polynomial , the new basis function is continuous at subsections junctions , and introduced the direction - correlating control function . this algorithm keeps the boundaries of local morphed image subtle , and gets rid of some unreasonable warping resulted from isotropy with traditional radial basis functions . experimental results show that good local morphing results can be achieved 針對傳統的圖像變形技術中所采用的徑向基函數,應用在局部變形中的不足提出了一種改進方法:構造了基于多項式的分段連續基函數,并在此基礎上引入了與方向相關的控制參數.該方法在圖像局部變形的邊界處具有光滑的過渡,同時克服了傳統徑向基函數的各項同性所導致的不合理變形現象.實驗表明,該方法具有良好的局部變形效果

Considering the special structure of multi - ribbed slab , founding diphase body mechanical model of compound material , strengthening rib beam and rib pillar by equivalent volume ratio of concrete and slice brick , the paper drew elastic compution constant and shear constant . based on the things , the paper simplified isotropy compution model to wall , gave practical design formula of elastic mold and shear mold , provided necessary parameter for practical design formula of elastic rigidity . finally the calculating results agree well with the text results 結合密肋復合墻板的特殊構造，建立墻板的復合材料二相體力學模型，按照混凝土與砌塊體積比不變原則對肋梁肋柱同時加強，得出墻板的彈性計算常數及剪切常數，在此基礎上，進一步將墻板簡化為各向同性的計算模型，給出墻板彈性模量及剪切模量實用計算公式，為密肋復合墻板的實用彈性剛度計算公式提供必要的參數。

In recent years , theories of elastic foundation and layers elastic body system have been widely applied and perfectly developed , but the theories often consider the medium as continuous , elastic , homogeneous , isotropy and submitting to small deformation hypothesis , and the anisotropy of the material has not been introduced 近代發展的彈性地基和層狀彈性體系理論認為介質是連續、線彈性、均勻的和各向同性的，服從小變形的假設，沒有考慮材料的各向異性。

Secondly , the bending stress equations of asymmetric involute gear with two pressure angles are derived by the theory of isotropy wedge ; the contact stress equations of asymmetric involute gear are derived by the classical contact theory of hertz ’ s 通過討論各向同性楔原理,推導了非對稱漸開線齒輪的彎曲應力的解析計算公式;利用赫茲公式對非對稱漸開線齒輪的齒面接觸應力進行了分析,推導了非對稱齒輪的齒面接觸應力的解析計算公式。

Of the 5 - axis f / t sensors with discoupling 4 - sps & 1 - upu structure , the force isotropy , sensitivity , stiffness are also analyzed . when building up the jacobian matrix the screw theory is applied , which offers a new way in the analysis of the f / t sensor 對解耦結構的4 - sps & 1 - upu結構五維力/力矩傳感器的力各項同性、靈敏度、剛度的分析，雅可比矩陣的建立引入了空間螺旋理論的分析方法，實現多維力傳感器分析的多種解決方案。

On the basis of analyzing the behavior of the thermal expansion coefficient of laminate , a new method used ga has been developed . compared with results of two methods , ga method is much better than the “ isotropy “ method 本文通過對層合板熱膨脹系數的研究和設計，指出了過去常用的零膨脹系數的工程設計方法在精度上的不足，應用遺傳算法進行優化設計的層合板更加接近真正意義上的零膨脹。

Several types of 6 - axis f / t sensor prototypes and signal processing system are developed with considering all the factors , including force isotropy , sensitivity , physical size and so on . the static calibration system is developed also 在綜合考慮傳感器的力各向同性、靈敏度特性及傳感器外型尺寸等多方面因素的情況下，研制了數種六維力傳感器樣機及信號處理系統，并設計了靜態標定系統。