geometric equation 中文意思是什麼
geometric equation
解釋
等比方程-
New yield equation based on geometric midline of error triangles between tresca and twin shear stress yield loci
和雙剪應力兩軌跡間誤差三角形中線確定的屈服方程 -
The simplified geometric nonlinear theory is used in post - buckling analysis. galerkin method is employed to derive the eigenvalue equation of the shell containing initia l geometrical imperfections. the buckling critical load is get. the program for calculating the buckling critical load is developed and the numerical example is given.
採用簡化的幾何非線性理論，進行了后屈曲分析，應用galerkin法推導得到了含有初始幾何缺陷的編織復合材料圓柱殼的屈曲特徵方程，得到了臨界荷載的計算公式，編制了相應的計算機程序，並給出了具體算例，得到了一些有益的結論。 -
Geometric programming with max - product fuzzy relation equation constraints
取大乘積型模糊關系幾何規劃 -
At first, the author establish the linear and geometric nonlinear static equation on the base of rigid equation of element by qr method and analysis the inner force of spatial lattice structures, and establish the linear and material nonlinear dynamic equation and solve these equations by the method of no limit stabilization
建立網殼結構的線性靜力方程和幾何非線性靜力方程，進行了靜力性能分析；建立線性動力方程和材料非線性動力方程，用樣條無條件穩定演算法分別對其進行求解。 -
The error compensation software for cam precision grinding has been developed, and results show that the cam grinding accuracy can be ensured and the productive can be improved. ( 1 ) by using the method of movement error analysis of mbs, the geometric error model of sk - 21 nc machine tool has been established, and the calculation equation for precision processing of nc machine tool has been derived, which lays a good foundation of programming the error compensation software
基於該磨床目前的狀態和已有的研究成果，本課題展開了以下主要研究工作: （ 1 ）以多體系統運動學理論為基礎，建立精確的sk - 21數控凸輪磨床運動模型，全面考慮各項結構誤差和運動誤差對加工精度的影響，推導出精密加工約束條件方程，揭示機床實精密加工的實質。 -
In the third chapter, we introduce geometric expansion of convex planar curves. we discuss the evolution equation using minkowski ' s support function with the speed function of curvature and show that the shapes of curves become round asymptotically when the initial closed curves is smooth and convex
限制曲線在外法向上的演化速度是另一類特殊的曲率函數，研究相應的方程，我們得到了在初始為凸的閉簡單光滑曲線的條件下，曲線的最後形狀是漸近地趨於一個圓。 -
Based on the analysis about the test requirements and the saturated magnetization of the armor plate, the excitation magnetic circuit satisfying the testing condition and a validation system are designed. because the geometric, of the magnetic leakage at the direction of the normal of the roundness fault has the feature of two peaks : a positive and a negative, using the linear regression and the software matlab, two regression equation are proposed : one is about the peak value of the magnetic leakage and the diameter and depth of the roundness fault ; the other is the distance between the two peaks and the diameter of the roundness fault. the result of the validation system proves that the two equations are valid, and an applied method using for quantificationally inspecting the roundness faults is proposed according to the two equations
根據實驗要求，通過對鋼板達到飽和磁化的必要性進行的分析，設計了符合試驗條件的勵磁磁路，並設計了一套實驗驗證系統；根據圓形缺陷法線分量漏磁場幾何圖形正負雙峰值的特點，採用線性回歸擬合的原理和matlab軟體及其統計工具箱中的相關函數，給出了圓形缺陷漏磁場幾何圖形的峰峰值與圓形缺陷的直徑和深度以及峰峰值間距與圓形缺陷直徑的兩個回歸擬合方程，並通過實驗驗證系統驗證了擬合方程的正確性，利用這兩個簡單實用的擬合方程，提出了一種工程定量檢測圓形缺陷的應用方案。 -
This paper consists of three chapters. the first one is the preparatory knowledge underlying this paper, including the basic concepts of the piece - wise deterministic markov processes ( pdmp ), the renewal equation, the key renewal theorem and some results about the classical risk model, which come from [ 2 ], [ 8 ] and [ 9 ]. the second one introduces the results about the general ruin probability in a kind of continuous - time risk model with the deficit - time geometric distribution of inter - occurrence times, in which claim sizes are discretly distributed. these come from [ 6 ]. the main body of this paper is the third one where we derive lundberg bounds, cramer - lundberg approximations to the ruin probability and finite - horizon lundberg inequalities
本文共三章，第一章是奠定本論文基礎的相關知識，包括逐段決定馬爾可夫過程的一些基本概念、更新方程與關鍵更新定理的內容以及經典風險模型的介紹，主要取自[ 2 ] 、 [ 8 ]和[ 9 ] 。第二章介紹了該風險模型在索賠額分佈為一般分佈下的破產概率的一般表達式及相關定理，內容來自[ 6 ] 。第三章是本文的主體，求得了該模型的破產概率的lundberg界， cram r - lundberg逼近以及有限時間破產概率的lundberg不等式。 -
The present findings of nonlinear research in frame structures, and the methods for design of second - order effect in the codes from china and other countries, were briefly introduced in this paper. the contents and methods of design and calculating about second - order effect in gb50017 - 2003 were discussed as well. a rotational displacement equation for geometric nonlinear structures was derived, and then a nonlinear finite element program for rigid frames was compiled by fortran
本文簡要地介紹了框架結構非線性研究的現狀以及各國規范對框架二階效應的設計內容和方法；對我國《鋼結構設計規范》 gb50017 - 2003給出的考慮框架結構二階效應的方法進行了探討；推導了基於幾何非線性框架的轉角位移方程，在此理論基礎上用fortran語言編制了剛性框架二階內力分析的有限元計算程序，並用此結構分析程序對多種框架進行了一階和二階的彈性分析，討論了二階效應在框架分析中不應忽略的原因，同時分析了影響框架二階效應的因素。 -
By using the method of error analysis of mbs, the identification equation of geometric error parameters is derived and according to the condition that the rank of coefficient matrix of error measurement equation group must be full, we can get 18 terms geometric error of 3 - axis nc machine tools and three displacement error and three position error
應用誤差辨識軟體，解得各測量點的十八個誤差參數，即每個運動方向的三個位移誤差和三個位置誤差，再根據實際情況獲得三項垂直度誤差，得到了所有的21項誤差。 -
This thesis deals with the following results with regard to the control systems of satellite : ( 1 ) on the basis of global geometry theory, deprive the representation of state equation for the satellite orbit control system under the geometric restraint, show that the geometrical structure of geometric restraint affect on satellite orbit control system, and study the connection between the equilibriums state of the control system and the geodesies of the geometric restraint
對於人造衛星控制系統的研究，本論文的主要工作表現在以下幾個方面： （ 1 ）基於整體微分幾何理論推導出人造衛星軌道控制系統在幾何約束下的整體化方程，展示了幾何約束條件對人造衛星軌道控制系統的影響。並且討論了具有幾何約束的人造衛星軌道控制系統的平衡態與幾何約束條件之間的關系。 -
Abstract : the method of generating infrared image of target in the sky was proposed. at first, the geometric model of the target in the sky was built with grid ; secondly, using the theory of aerodynamic and heat transmission, the thermal equation of the different skin of target ( the skin with and without heat source, the skin with heat source and the skin of gasoline tank ) were established ; thirdly, as an example, the solution of the thermal equation of ultrasonic plane was obtained ; finally, the result of the computer simulation were proposed
文摘:提出了空中目標的紅外圖像生成方法，首先是空中目標的幾何建模及其網格化，然後據飛機空氣動力學和傳熱學原理提出了空中目標幾種蒙皮（單層蒙皮、內有燃油蒙皮、發動機影響區蒙皮）的熱平衡方程，然後以超音速飛機為例，介紹了方程的求解過程，最後給出了計算機的模擬結果及分析。 -
First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time
首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。 -
A developed simple m - s model for image segmentation in geometric active contour model is presented based on intra - region similar and inter - region dissimilar properties. the model constructs an energy ( cost ) function, which is made of intra - region variations and weighting squares of subtraction of region mean values. using gradient - descent methods, the energy function is minimized and we get a curve evolution equation that segments image
基於區域內一致性加權區域間差異性構造能量函數，利用最陡梯度法使能量函數最小化，提出了一種改進的簡化mumford - shah （ m - s ）圖像分割模型，該模型利用區域內方差描述區域內一致性，區域間平均灰度值之差的平方描述區域間差異性，實驗結果表明，通過調節加權系數，該模型對弱邊界圖像分割具有較強的適應性。 -
Abstract : in order to solve the double parameters enveloped in the geartooth flank generating, the complicated double parameter envelope is simplified to the generating process between work - piece and imaginary crown generating gear by means of mathematical transformation. the equation of the imaginary crown generating surface and the partial derivatives are deduced, so the differential geometric parameters of the generating surface can be obtained. by analyzing the generating motion between the imaginary crown generating gear and the work - piece, all the first to third order geometric parameters of the generated tooth flank at any given point can be calculated
文摘:為了解決直接求解展成法加工中存在的復雜雙參數包絡問題時的困難，提出通過數學變換，將此包絡問題轉化為假想平面產形輪與工件之間的展成問題來進行研究.推導了假想產形面的方程和各階偏導矢，於是可獲得產形面的微分幾何參數.通過分析假想平面產形輪與工件之間的展成運動，即可得到被展成齒面上任意指定點的全部一至三階微分幾何參數 -
Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been
本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。 -
The orthogonality basis of geometric algebra is used to convert the quantum master equation into state space model ; the equation is divided into several parts matrix is analyzed to show its compact on the evolution and the dynamics of the system
本文從量子主方程模型出發，選取一組合適的完備正交基將主方程模型轉化為實向量空間上的利於設計控制方案的狀態空間模型，並基於此模型針對一個典型的二能級量子系統設計最優控制方案，模擬結果驗證了方案的有效性。 -
In this paper, the reasonable measures of stress and strain and the right expression of geometric equation and continuity condition are pointed
對于歐拉表達式中的幾何方程和連續條件，文中指出應採用合理度量及正確表達式。 -
By solving the christoffel equation, the relationship between velocity and angles is obtained, and the ultrasonic inverse velocity curve is illustrated. the dixon equations of ao diffraction on the xoz and yoz planes in ln crystal have been applied to obtain the geometric relationships of acousto - optic interaction. therefore, the beam steering theory is proved to be a possible way to do the optimum design of ln anisotropic acousto - optic deflector. the detailed parameter data and the figures on the xoz and yoz planes with the angle of incidence of - 5 degree are shown up, which will contribute to the desigh of aod
對鈮酸鋰超聲跟蹤反常聲光偏轉器進行優化設計，經研究計算得到了分別在入射角取- 5o時xoz與yoz工作平面中正負一級衍射中分別使用快切變波與慢切變波的情況下，優化設計鈮酸鋰超聲跟蹤反常聲光偏轉器的設計參數，對聲光偏轉器生產設計有實際參考意義。 -
A least squares solution via singular value decomposition is used to solve the matrix equation. computations with synthetic data, where the near field of several typical antenna configurations are got over various geometric surface, illustrate the accuracy of the method
為了證明本方法的計算準確性，我們給出了幾個不同輻射源在不同近場測量幾何面下的近場和遠場計算結果，與解析公式的計算結果相比較，一致性很好。
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