topological boundary 中文意思是什麼

topological boundary 解釋
拓撲邊界
  • topological : 拓撲的
  • boundary : n 邊界，疆界，限界 （between）;（球場）邊線；界標；界限，范圍，分野。 aboundary dispute 邊界糾紛...
  1. ( 2 ) based on a close research of the interior representation of cad model in mdt, this thesis picks - up the interior topological and geometrical information of model expressed in the boundary representation ( b - rep ) using the development tools of objectarx and mdt api offered by autodesk inc. the picking - up information makes it successful to implement the adaptive slicing method

    （ 2 ）研究了mdt軟體平臺下cad模型數據的內部表達方法，運用autodesk公司提供的mdt二次開發工具objectarx和mdtapi ，實現了mdt模型的幾何信息和拓撲信息提取，使自適應分層演算法得以實現。
  2. To completely avoid producing elements jointed at their corner nodes and checkerboard patterns, which frequently occur when the topology optimization of plane continuum is studied, the theory of topology analysis of plane continuum in topology optimization process and the simple algorithm for programming are studied. according to algebraic topology theory, the boundary of elements and plane continuum are operated as a one - dimensional complex. by use of the adjacency vector in graph theory, the structural topology is described and the topological operation is achieved on a computer. by above, the structural topological feature in the evolutionary process is gained. these methods are effcient and reliable. under topology constraints, according to the results of stress analysis, by deleting elements and moving nodes at the boundary, more satisfactory results can be gained by using a few numbers of elements and iterations. to demonstrate the efficiency of these methods, solutions including some well - known classical problems are presented

    避免目前平面連續體結構拓撲優化過程中經常出現的單元鉸接以及「棋盤格」等現象，研究了連續體結構拓撲優化過程的拓撲分析方法，以及在計算機上實現的簡便演算法.根據代數拓撲理論，單元及連續體的邊界作為1 -復形進行運算.利用圖論中的鄰接向量概念，在計算機上實現了結構的拓撲描述及拓撲運算，得到了結構在拓撲演化過程中的拓撲特性，方法簡單、可靠.在一定的拓撲約束下，根據應力分析結果，採用刪除單元、單元退化、移動節點等方法，可以用較少單元得到更為滿意的結果，提高計算效率.為演示方法的有效性，給出幾個包括常見經典問題的解答
  3. We consider the following periodic boundary valve problems ( pbvps ) : where ( i. e., f is continuous as a map from the topological space i + r2 into the topological space r ( of course the topology on i, will be the discrete topology )

    考慮下面的周期邊值問題（ pbvps ） ：其中（ f是從拓撲空間i r ~ 2到拓撲空間r （這里的拓撲是離散拓撲）的連續映射）
  4. By the application of topological polygon data model, the graphic breaking up method was proposed to realize the parent region auto - dividing into child region and auto - merging the divisions into the whole region step by step based on region and boundary code

    應用基於拓撲關系的多邊形數據模型，提出以小班邊界與多邊形編碼為基礎的圖形分割方法，實現了小班區劃過程數據的逐級分割以及區劃結果的逐級合併匯總。
  5. Computation for topological degree and applications to singular superlinear boundary value problems of fourth - order differential equations

    拓撲度的計算及其對超線性奇異四階微分方程的應用
  6. In this paper, a new method of computation of topological degree is given with the theory of cones and applied to the singular superlinear boundary value problems of fourth - order differential equations

    摘要利用錐理論給出了新的拓撲度計算方法，並應用於超線性奇異四階微分方程邊值問題。
  7. The boundary curves correspond to a set of rectangular or triangular topological type that can be represented with tensor - product or degenerate b - spline surface patches

    其中邊界曲線對應于可用於張量積b樣條曲面的具有矩形結構的曲線集合。
  8. Abstract : a numerical investigation of three - dimensional separated flows about a hemisphere - cylinder is presented. the analysis has been restricted to transonic and laminar flows. results are given for the complex flow field structures including shock, boundary layer, separated flow, vertical flow and their mutual effects. the topological structures of the separated flow is shown

    文摘:本文數值模擬了半球柱在跨音速、中等攻角時的粘性層流繞流，研究了流場中的復雜三維分離形態結構，其中包含流向與橫向的主分離、二次分離、以及激波邊界層的相互干擾，解釋了在球柱接合部精確捕獲的壓力波動與流動主分離、二次分離的影響關系，這個現象是前人的計算5 ， 6未捕捉到的。
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