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   孤立特征值 的翻译结果: 查询用时:0.393秒
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孤立特征值
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  “孤立特征值”译为未确定词的双语例句
     Statistics of Isolated Eigenvalues of Random Structures
     随机结构孤立特征值的统计特性
短句来源
     2. General methods are presented to calculate the 2nd order perturbations of eigendatas for one-dimensional structural system with parameter uncertainties, the methods are applicable to both single and repeated eigendata problems as well as both real and complex eigendatas;
     2、 给出了一维不定参数结构系统的孤立特征值和特征向量的二阶摄动计算方法以及重频特征值和特征向量的二阶摄动计算方法,该方法不仅适用于实数特征值问题的摄动分析,而且适用于复数特征值问题的摄动分析;
短句来源
     3. Considering structural materials' randomness and using perturbation stochastic finite element method to research it, isolated and repeated eigenvalues in structures will be analyzed. Then the computational expressions of numerical characters about structural modes are developed.
     3、考虑结构材料的随机性,应用摄动随机有限元法对结构孤立特征值和重特征值问题进行分析,推导出特征值和特征向量的统计特征的数值表达式。
短句来源
     4. Utilizing the new recursive stochastic finite element method to analyze free vibration of random structures with isolated and repeated eigenvalues, thencombining theories about random fields, a series of certain recursive equations will be developed.
     4、利用递推随机有限元法处理随机结构的孤立特征值和重特征值问题。 考虑弹性模量的随机性,建立了一系列确定的递推方程组;
短句来源
     A matrix perturbation method of complex modes in vibration analysis of damped system is studied. By introducing a simple normalization condition, the perturbation terms of eigenvectors can be determined conveniently and uniquely. And the perturbation formulas of the first and second order are derived for the cases of distinct and repeated complex eigenvalues.
     研究了阻尼系统振动分析的复模态矩阵摄动法,推导了孤立特征值及重特征值情况的一阶、二阶摄动公式,特别是通过引进1个非常简单的范化条件,就完全确定了现有方法中的有关摄动项的不确定量.并且给出了相应的算例.
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  相似匹配句对
     A new random finite element method for solving eigenvalue problems involving material variability is given.
     研究了随机结构的孤立特征值问题。
短句来源
     Statistics of Isolated Eigenvalues of Random Structures
     随机结构孤立特征值的统计特性
短句来源
     and characteristic values of X-ray diffraction.
     和X-衍射特征值
短句来源
     THE CONTAINED REGION FOR EIGENVALUE OF MATRIX
     矩阵特征值的包含域
短句来源
     Sufficient and necessary condition on isolated extreme
     孤立极值的充要条件
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  isolated eigenvalue
within a mode coupling theory are demonstrated to be due to an isolated eigenvalue of a certain stability matrix to approach unity at the critical point.
      
Above a critical coupling which is inversely proportional to the size of the subsystem, the spectrum at given wave number contains an isolated eigenvalue describing diffusion.
      
We prove theorems on branching of an isolated eigenvalue into a finite number of simple eigenvalues.
      
Let λ0 be an isolated eigenvalue of the Schr?dinger operator with a potential q.
      
A nonlinear analogue of the implicit method in the theory of the perturbation of an isolated eigenvalue
      
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In this paper, the random eigenvalue problem for structures with random material and geometric properties is discussed, and a analytical method for the variance and covariance of the eigenvalues and eigenvectors is presented. This method is applicable not only for the structures with distinct eigenvalues but also for the degenerate systems with multiple eigenvalue.

本文讨论具有随机材料特性和几何特性的结构的振动特征值问题,并提供随机特征值和特征向量的统计特性的一般分析方法,此方法不仅适用于孤立特征值,而且还适用于重复特征值或密集模态的情形。

Matrix Perturbation methods are widely used in sensitivity analysis and reanaly-sis of Vibration modes. However, the perturbation methods for distinct or repeated eigenvalues can not be directly used to deal with the vibration modes with close eigenvalues. This paper presents a new approach to perturbation analysis of vibration modes with close eigenvalues using eigenvalue shift technique . In this new method, the perturbation problem of vibration modes with close eigenvalues is transformed into the problem...

Matrix Perturbation methods are widely used in sensitivity analysis and reanaly-sis of Vibration modes. However, the perturbation methods for distinct or repeated eigenvalues can not be directly used to deal with the vibration modes with close eigenvalues. This paper presents a new approach to perturbation analysis of vibration modes with close eigenvalues using eigenvalue shift technique . In this new method, the perturbation problem of vibration modes with close eigenvalues is transformed into the problem associated with repeated eigenvalues through eigenvalue Shift. This paper discusses the properties of vibration modes with close eigenvalues and rationality of this new method.

模态分析的矩阵摄动法在灵敏度分析和重分析中有广泛的应用。然而,已有的孤立特征值摄动法和重特征值摄动法都难于用来解决密集模态的摄动问题。本文提出了特征值的移位措施,将密集特征值组移位为重特征值,从而可用重特征值的摄动法来解决密集模态的摄动问题。文中分析了频率集聚时特征向量的性质,讨论了本文方法的合理性。

We are almost certain that there doeS not exist any method that is applicable to all throecases of eigenvalue problem in mechanical vibration: (1)distinct frequencies 3 (2)equal frequencies; (3)nearly equal frequencies. Yet for large complicated structures, we need to dealwith all these three cases.In this paper we, using method of condensation in subspace, derive: (a)perturbationeqs. (12) and (14a)for computing eigenvalues; (b)perturbation eqs. (11), (13)and (14b)forcomputing eigenvectors. We feel quite confident...

We are almost certain that there doeS not exist any method that is applicable to all throecases of eigenvalue problem in mechanical vibration: (1)distinct frequencies 3 (2)equal frequencies; (3)nearly equal frequencies. Yet for large complicated structures, we need to dealwith all these three cases.In this paper we, using method of condensation in subspace, derive: (a)perturbationeqs. (12) and (14a)for computing eigenvalues; (b)perturbation eqs. (11), (13)and (14b)forcomputing eigenvectors. We feel quite confident that these equations are simple and elegantin form.We present two illustrative examples: (a) a simple system with nearly equal frequencies;(b)a simple system with equal frequencies. The results calculated with our perturbation equations are extremely close to exact results, auguring well that our perturbation methodwill very likely give calculated results sufficiently accurate for engineering purposes in thecase of large complicated structures.

研究了结构动力分析中广义特征值问题的矩阵摄动法。根据逐次逼近的思想,提出了一种能同时处理孤立特征值、相近特征值及相重特征值三种不同情况的摄动问题的通用方法。推导过程简单,公式紧凑,且具有足够的精度。计算实例证实了本文方法的有效性。

 
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