圓柱坐標系 的英文怎麼說
中文拼音 [yuánzhùzuòbiāoxì]
圓柱坐標系
英文
cylindrical coordinate system-
In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in cartesian coordinate system. secondly, the dispersive characteristic is analyzed in cylinder coordinate system for many high power microwave devices use cylinder sws. and then the method is extended to calculate the band structure of 2 - d photonic crystal, a modified yee ’ s grid is introduced to calculate the dispersive characteristic in the case of triangular lattice, so that both square lattice and triangular lattice cases can be solved in cartesian coordinate system
周期電磁結構的一個重要應用就是用作高功率微波器件中的慢波系統，考慮到目前大部分高功率微波器件的慢波系統多採用圓柱周期結構，在論文第四章中，在圓柱坐標系下，給出了差分方程和周期性邊界條件的具體形式，同時編寫程序，分析了milosws ，盤荷慢波結構的色散特性。Abstract : it is observed that the sommerfeld ' s formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. it contains complex partial waves that are not physical. the standing wave representation of the same formula is shown to be covariant and physical. it is applied to solve the boundary value problem of fiber optics. the radiation modes as well as the guided normal modes are obtained in closed forms. the intensity distribution in various modes is obtained. it is remarked that the mode of critical refraction is missing
文摘:說明了球面行波的索末菲公式在坐標轉動下不協變.證明了球面波的駐波表示是協變的，因而是一個物理的關系式，故適用於圓柱坐標中各類波動方程的定解問題.作為一個例，應用於光纖光學，導出了受導簡正模和輻射模的表達式，以及各模式的強度分佈Eigenequation about singularity, singular stress fields and electrical displacement fields near the interface edge are obtained under axisymmetric distortion. finally, a special finite element formulation which is based on the principle of minimum potential energy has been developed for determining the orders of the singularity of the singular stress fields around the singular point ( interface edge, interface corner and the interface crack ) in the bonded dissimilar anisotropic / anisotropic, piezoelectric / piezoelectric as well as piezoelectric / anisotropic materials. the numerical results show that this method is very convenient and efficient
最後，從最小勢能原理出發，在僅僅考慮奇異性支配區域這一前提下，對于彈性接合材料的平面變形問題和擬平面應變問題，以奇異點為原點分別建立極坐標系和圓柱坐標系，通過分部積分消除廠項，從而使奇異性問題的求解由原來的二維降為一維；對於三維變形問題，以奇異點為原點建立球坐標系，通過分部積分消除項，從而使奇異性問題的求解由原來的三維降為二維。Thirdly, the spatial cylindrical helix is approximated by rational triangular bezier curve in cylindrical coordinate system
再次，建立柱坐標系，給出圓柱螺線的三角有理b zier表示。Mathieu function is the base of field theory analysis in elliptical cylinder coordinate system. so, firstly, detail investigation has been given about the problem of numerical analysis of matheiu functions, based on the predecessor ' s contribution, an improved faster algorithm of numerical analysis and confirmation algorithm of matheiu functions has been presented
Mathieu函數是橢圓柱坐標系統下場論分析的基礎，因此本文首先對mathieu函數的數值計算問題進行了詳細研究，並在前人基礎上完善並進一步改進了目前被認為較為可行的數值演算法，並提出了驗證演算法。Based on the navier - stockes equation, the finite difference method was applied to variance the simplified n - s equation on cylindrical coordinate system. then, 3 - d model of the spiral flow locally generated in circular pipe with steady and axial - symmetry condition was founded. the ordinary iterative method of gauss - seidel was induced
太原理工大學碩士學位論文本文以局部起旋條件下的圓管螺旋流為模擬對象，從以速度和壓強為自變量的微分方程一navier一5tokes方程出發，利用有限差分法對柱坐標系下簡化后的n一s方程進行離散，建立定常的、軸對稱的三維計算模型。Pentagonal conformal grids modeling in the two - dimensional cylindrical coordinate
二維圓柱坐標系中五角形共形網格演算法After the coordinate transformation, the discrete velocity boltzmann equation is solved directly in computational domain to preserve the geometry of body. the results comparison of cylindrical couette flow at different size meshes, different lattice bgk models and different algorithms shows that, not only the precision of the incompressible lattice bgk model is satisfactory, but also the curvilinear coordinate algorithm is efficient
首先計算了存在理論解的圓柱couette流動，並針對不同數目的離散網格、不同格子模型以及不同坐標系演算法，對結果進行了比較，不僅再次印證了本文第四章給出的不可壓格子模型具有滿意的計算精度，而且表明本章的貼體坐標演算法是行之有效的。Abstract : based on simple algorithm, the discretization algebraic equation of nonaxisymmetry three - dimension turbulent flow is established, and it can simulate nonaxisymmetry three - dimension turbulent flow
文摘:以simple演算法為基礎，建立了圓柱坐標系下非軸對稱三維湍流流動離散化的代數方程，從而可以對非軸對稱三維湍流流動進行數值模擬Uses a left - handed coordinate system to create a mesh that contains a cylinder
使用左手坐標系創建包含圓柱體的網格。分享友人