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solution of eigenvalue
相关语句
  求解特征值
     SOLUTION OF EIGENVALUE PROBLEM BASED ON GENETIC ALGORITHM
     求解特征值问题的遗传算法
短句来源
  “solution of eigenvalue”译为未确定词的双语例句
     Super convergent approximation of finite element solution of eigenvalue can be obtained by Richardson extrapolation method.
     利用Richardson外推的方法对本征值的有限元解外推 ,可得到全局超收敛性
短句来源
     For the polymeric electro optic waveguide, approximate expressions of propagation constant and loss coefficient are derived by using perturbation theory according to coupled mode theory of the ideal optic waveguide, thereby complicated complex calculations for finding the solution of eigenvalue can be simplified to simple real calculations.
     对于聚合物电光波导 ,依据理想光波导耦合理论的微扰理论 ,推导传播常数和损耗系数的近似表达式 ,从而将求解本征值的复杂复数运算简化成简单实数运算。
短句来源
     Rigorous Solution of Eigenvalue Equations for Guided Modes in Inhomogeneous Optical Waveguides by Cole-Hopf Transformation
     用科尔-霍普夫变换法求非均匀光波导导模本征方程的严格解
短句来源
     Research on the Inverse Solution of Eigenvalue Problem in Machine Design Based on Artificial Neural Network
     机械设计特征值反问题求解的神经网络算法研究
短句来源
     Solution of Eigenvalue Problem of Crankshaft System by Lever Arm Coefficients Method
     用力臂系数法求解发动机曲轴系统特征值问题
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  相似匹配句对
     solution;
     溶液;
短句来源
     T's solution.
     T解集中不出现空集;
短句来源
     b) The solution of the inequality.
     (2)解不等式;
短句来源
     THE SOLUTION OF K-L PROBLEM
     K-L问题的解决(英文)
短句来源
     The Inhomogenous Eigenvalue Problem
     非齐次特征值问题
短句来源
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  solution of eigenvalue
We have described two closely related numerical methods for the solution of eigenvalue problems called 'stabilized iteration' and 'mutually stabilized biiteration'.
      
A technique for the numerical solution of eigenvalue problems defined by differential equations, based on an operational approach to the Tau method recently proposed by the authors, is shown to be equivalent to a method of Chaves and Oritz.
      
This paper discusses the numerical solution of eigenvalue problems for Hamiltonian systems of ordinary differential equations.
      
Numerical solution of eigenvalue problems for Hamiltonian systems
      
Accurate non-perturbative solution of eigenvalue problems with application to anharmonic oscillator
      
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A method is provided for the solution of eigenvalue equations of three-dimensional rectangular waveguides. The method takes account of the absorption effect of every medium layer in the waveguide, and poses no limitation on the absorption intensity. Calculations based on this method are made for several kinds of GaAs/AlGaAs rectangular and ridge waveguides, and theoretical results are obtained about their optical properties.

本文从理论上给出一种求解三维矩形波导特征方程的方法,其特点是考虑了组成波导的各介质层的全部吸收作用,并对吸收的强弱不作任何限制。然后用此方法对几种GaAs/AlGaAs结构的矩形和脊形波导进行具体计算,得到其光学特性的理论结果。

In this paper, an optimal dynamic design method, based on the idea o perturbation characteristic of generalized eigenvalues and converse solution, is presented, With it, the problems of optimal dynamic design with unacceptable frequency band (involving eigenvalue equation with implicit behaviour constra-ints) can be solved, The idea of this method is that, as soon as the behaviour constraints of unacceptable frequency band are violated, an unacceptable band of the evading variable is set, By means of the...

In this paper, an optimal dynamic design method, based on the idea o perturbation characteristic of generalized eigenvalues and converse solution, is presented, With it, the problems of optimal dynamic design with unacceptable frequency band (involving eigenvalue equation with implicit behaviour constra-ints) can be solved, The idea of this method is that, as soon as the behaviour constraints of unacceptable frequency band are violated, an unacceptable band of the evading variable is set, By means of the perturbation characteristic of generalized eigen- values and the known frequeucy increment that can avoid the unacceptable frequency band, the changes of the elements of stiffness matrix and mass matrix in eigenvalue equation can conversely be calculated. Then the changes of the design variables can be determined, hence the aim of avoiding unacceptable frequency band can be achieved, So the solution of eigenvalue equation with implicit behaviour constraints can be avoided to the possible extent, At the same time, the optimal problem can be solved by transforming the behaviour co-nstraints into the boundary ones, Hence, both the method and the programming of optimal dynamic design are simplified and the times of re-analyses are reduced, The theoretical evidence in which the same eigenvalue does not appear as be-fore (so-called the duplicate eigenvalue) during the course of optimality after setting unacceptable band of avoided variable under certain conditions is given and some conditions in which no duplicate eigenvalues appear are also shown in this paper, Following the above method, a practical example of aero engine rotor optimal dynamic design with 25 design variables is given. The optimality value can be achieved by nonlinear programming combined with the method of perturbation converse solution. The times of re-analyses are 5-6. In addition, the authors have made the optimal dynamic design of centrifugal pump. The times of re-analyses are 3-5. This method can also be extended to the optimal dynamic structural design.

本文利用广义特征值的摄动(扰动)特性和逆求的思想提出一个机械动力(态) 优化设计方法,用以求解带频率禁区(含特征方程隐式性能约束)的动力优化设计问 题.给出了本方法可行性的论证。文后举了一个25维设计变量的飞机发动机转子系 统动力优化设计实例。用数学规划和本文摄动逆求相结合方法求解,重分析5-6次即可。方法直观,程序简单.木方法亦可能推广应用于工程结构优化设计。

A basic method to measure the random variable of runway roughness according to roughness criteria based on power spectral concrpts is derived.The power spectral criteria are primarily used for consideration of aircraft fatigue.According to the theory of generalized harmonic analysis, the power spectral analysis for random processes must be assumed to be stationary, ergodic and to agree with Gaussian distribution. On this assumption,a power spectral curve which provides description of frequency characteristics...

A basic method to measure the random variable of runway roughness according to roughness criteria based on power spectral concrpts is derived.The power spectral criteria are primarily used for consideration of aircraft fatigue.According to the theory of generalized harmonic analysis, the power spectral analysis for random processes must be assumed to be stationary, ergodic and to agree with Gaussian distribution. On this assumption,a power spectral curve which provides description of frequency characteristics of roughness for a runway was calculated step by the method decribed in reference 2.The we considered the landing gear and its airframe taxiing on the rough runway as a system with multi-degrees of freedom and derived the simultaneous differential equations of motion by using Newton's second law.For simplicity, we used the model matrix as transformation matrix to uncouple the simultaneous differential equations into a set of independent equationsAlso,the method of determining transfer function by means of solution of eigenvalue problems was considered.At last,the carves of exceedances per flight vs the incremental accelaration of airplane during taxiing were introduced.

本文从机场跑道不平度准则出发,基于功率谱概念,介绍了测定跑道不平度随机变量的基本方法.对跑道不平度功率谱曲线的拟合和飞机地面滑行动力响应进行初步分析。

 
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