英语释义

1. an equation in which the characteristic polynomial of a matrix is set equal to 0

片语

characteristic line equation特征线方程

characteristic strips equation特征线方程

characteristic differential equation特闸分方程

characteristic matrix equation特征矩阵

generalized characteristic state equation广义特征状态方程

secular equation[数][物] 特征方程；[物] 久期方程

characteristic state equation特征状态空间

characteristic thermogram equation特征热谱方程

characteristic curve equation曲线方程

branch characteristic equation[计]

英汉例句

• moreover, the stability of periodic motion is studied and the corresponding characteristic equation is derived.

  导出了判断理想转子周期性碰摩运动稳定性的特征方程。

• using the root of the characteristic equation, this paper studies the asymptotic solution of the characteristic equation of the open circular cylindrical thin shells.

  本文利用特征方程根的性质，研究了开口圆柱薄壳精确微分方程的特征方程的渐近解。

• the natural longitudinal or torsional vibration of a wedge-shaped shaft is studied with perturbation method. the vibration mode function and the frequency characteristic equation are derived.

  采用摄动法研究了楔形桿轴的固有纵扭振动，并且推导出了其固有纵扭振动的振型函数及频率特征方程。

• for a thin-walled bar with openings, a characteristic equation of lateral stability is derived from energy principle and with the aid of variational method.

  根据能量原理，借助于变分法导出一个考虑薄壁桿件扭转和翘曲变形影响的侧向稳定特征方程。

• the impulse response method is adopted to identify the modal parameters, and the physical parameters are estimated from the characteristic equation of the mathematical model built.

  本文采用了单位脉沖响应函数法识别模态参数，由所建数学模型的特征方程识别结合部的物理参数。

• methods of using the d-decomposition curves to judge whether all the roots of the characteristic equation possess a negative real part are also discussed.

  文中也提出了利用分划曲线来判定系统特征方程具有全部负实部根的方法。

• based on the analysis of characteristics of explosive field formed by fae , characteristic equation is fitted with trial data. then the range of casualty ranking of fae is deduced (the power range).

  利用fae静爆试验爆炸场的实测数据拟合出爆炸场特征方程，进而预估出fae对人员毁伤的伤亡等级范围（威力圈）。

• the new method turned the volt-ampere characteristic equation of transmission lines into an integral form, then used least square method to solve the equations and got the zero-sequence parameters.

  该方法是将互感线路的伏安特性方程转化为积分形式，并采用了最小二乘法求解方程组，同时得出各线路的零序自阻抗及线路间的零序互阻抗。

• in this paper, a successive approximation procedure for calculating eigenvalues of the complex characteristic equation is proposed.

  本文提出了对复变特征方程求根的一种系统逼近程序。

• this paper discussed the dependence of the characteristic value of characteristic equation on frequency for the given precise characteristic equations of plasma cylindrical waveguides.

  通过给出的等离子体圆柱波导的精确特征方程，讨论了特征方程的特征值对频率的依赖。

• the algebraic condition can be represented by the distribution of the roots of the generalized characteristic equation of the ellipse and parabola (hyperbola).

  这些代数条件表示为由椭圆与抛物线，椭圆与双曲线确定的广义特征多项式的根的分布。

• the parameter identification of joining stiffness of rudder hydraulic servo mechanism can be done by using the direct method of characteristic equation anti problem.

  应用特征方程反问题的直接方法对舵面-液压伺服机构连接刚度参数进行了辨识。

• characteristic equation of a rectangular plate is derived based on its potential energy functional.

  基于矩形板的势能泛函导出其特征方程。

• based on a series of simultaneous electromagnetic field equations contented with the boundary conditions, the characteristic equation of the circular groove guide loaded with dielectric is derived.

  根据满足边界条件的一系列电磁场方程，推导出填充电介质的圆形槽波导的特征方程。

• starting from the integral equation of thermal kinetics, a new characteristic equation of combustion is derived.

  从热动力学积分方程出发建立了新型燃烧特征方程。

• a system characteristic equation is deduced and a system natural vibration characteristic is calculated.

  推导了该武器系统特征方程，计算了系统固有振动特性；

• the roots of the characteristic equation determine the stability of the system and the general nature of the transient response to any input.

  特征方程的根决定了系统的稳定性以及对各种输入的响应特性。

• based on the hamiltonian system's theory, the relationship between closed-loop poles of system characteristic equation and weighting matrices was thoroughly investigated.

  根据哈密尔顿系统理论，深入研究了系统特征方程的闭环极点和加权矩阵的关系，给出了希望加权矩阵的确定方法。

• this paper considered a second-order neutral equation with several days, and proved that the equation was oscillatory if and only if its characteristic equation had no real root.

  本文探讨了带有多个滞量的二阶中立型方程，证明该方程振动的充要条件是特征方程无实根。

• a real factorization method based on evolutionary algorithms is proposed for finding tbe roots of the characteristic equation of a linear time-invariant closed-loop system.

  针对线性定常闭环系统特征方程的求根问题，提出了一种基于演化算法的实因式分解法。

• based on the analysis of characteristics of explosive field formed by fae , characteristic equation is fitted with trial data.

  利用fae静爆试验爆炸场的实测数据拟合出爆炸场特征方程，进而预估出fae对人员毁伤的伤亡等级范围（威力圈）。