柱面坐標系 的英文怎麼說
中文拼音 [zhùmiànzuòbiāoxì]
柱面坐標系
英文
cylindrical coordinate system-
For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures
對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。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。This system can not only support the algorithm based on homography matrix, but also support automated panoramic mosaicing method based on cylindrical coordinates
該系統支持基於單應矩陣的演算法和基於柱面坐標的全自動全景拼圖演算法。Under the horizontal earthquake action and wind force, aim at " the pure frame structure with rectangle columns ", " the pure frame structure with special - shaped columns ", " the frame - truss structure with special - shaped columns " and " frame - shear wall structure with special - shaped columns ", earthquake action analysis was done by the spacial finite element method through the changes structural parameter. analyzing systematically " structure vibration mode ", " vibration period ", " structure lateral rigidity ", " seismic action force ", " seismic response force ", " floor seismic shear force ", " lateral horizontal displacement of structure " and " members internal force ". results indicate : ( 1 ) based on equal area, the special - shaped columns replaced the rectangle columns, the structural lateral rigidity enlarges, the lateral displacement minishes obviously, the earthquake response increase slightly, the biggest increasing amount of frame columns axis - compress ratio is smaller than 0. 08. the whole aseismic performance of structure has improved ; ( 2 ) when the section ' s length and section ' s thickness ratio of special - shaped columns is smaller than 3. 6, the structure benefits to resist seismic action ; ( 3 ) the angle of horizontal seismic action with the whole coordinate is 0 degree, structure earthquake response is bigger, belonging to a control factor of structure aseismic design ; ( 4 ) the frame - truss structure with special - shaped columns and the " a " - brace has the biggest lateral rigidity ; ( 5 ) the frame - shear wall structure with special - shaped columns have bigger lateral rigidity and smaller displacement, members internal force enlarged just rightly, have much superiority of resisting seismic action ; ( 6 ) in the higher seismic fortification criterion region ( 8 degree of seismic fortification intensity ), aseismic disadvantageous building site ( iii type site ), adopting special - shaped columns structure system, should reduce possibly the building ' s self - weight in order to reduce the earthquake response ; ( 7 ) the response spectrum method of computing seismic response and the time - history analysis method have similar analysis result
西安理工大學碩士學位論文在水平地震作用下，並考慮風荷載組合，分別對「矩形柱純框架結構」 、 「異型柱純框架結構」 、 「異型柱框一析架結構」及「異型柱框-剪結構」等四種結構體系，通過改變結構參數，運用空間有限元方法，進行地震作用計算。系統地分析研究「結構振型」 、 「振動周期」 、 「結構側向剛度」 、 「結構地震反應力」 、 「樓層地震剪力」 、 「結構側向位移」 、 「層間位移角」 ，以及「構件內力」 。結果表明:在等面積原則下，異型柱代換矩形柱后，結構剛度增大，側向位移明顯減小，地震反應力略有增加，框架柱軸壓比最大增幅小於8 % ，結構整體抗震性能有所提高;當異型柱肢長肢厚比小於等於3 . 6時，結構有利於抗震;水平地震作用力與整體坐標夾角為0度時，結構地震作用效應較大，屬結構設計的控制因素之一;異型柱框一析架結構採用「人」字斜撐，側向剛度大於「八」字斜撐和「人一八」字混合斜撐;異型柱框一剪結構側向剛度大、位移小，構件內力增大適中，是一種抗震性能優越的結構體系:在抗震設防烈度較高地區（ 8度）和抗震不利的建築場地（ m類場地） ，採用異型柱結構體系時，應盡可能減輕結構自重，降低地震作用力;分別採用「振型分解反應譜」法和「時程分析」法進行地震作用計算，兩種方法所得結果基本一致。According to generating finite element model by meshing for special - shaped section columns and the conversion of coordinate, a computer program considered sliding of reinforcement anchoring using the digital iteration method for full range analysis of special - shaped columns is complied
通過異形柱截面的有限元單元網格劃分及坐標變換，在本文確定的數值分析方法上採用fortran90語言編制了考慮粘結滑移影響的鋼筋混凝土異形柱截面n - m -關系全曲線的計算機程序。Second, for the sake of the optical fiber is cylinder, the wave equation should be showed under column coordinate system
其次，針對光波在光纖中傳播的具體情況，推導出柱面坐標系下的波動方程。分享友人