两方程对应的特征方程是恒等的。
The characteristic equations of the two equations are identical.
利用根轨迹法，分析了特征方程。
Using the root locus method, the characteristic equations are analyzed.
特征方程之根？称为本征值或特征值。
The roots? Of the characteristic equations are known as eigenvalues, or characteristic values.
基于矩形板的势能泛函导出其特征方程。
Characteristic equation of a rectangular plate is derived based on its potential energy functional.
导出了对称和斜对称模式下波传播的特征方程。
The secular equations for symmetric and skew symmetric wave mode propagation were derived.
推导了弹性支承梁的横向自由振动模态的特征方程。
The latent equation of the freely vibration modes of elastic bearing beam is deduced.
从热动力学积分方程出发建立了新型燃烧特征方程。
Starting from the integral equation of thermal kinetics, a new characteristic equation of combustion is derived.
本文提出了对复变特征方程求根的一种系统逼近程序。
In this paper, a successive approximation procedure for calculating eigenvalues of the complex characteristic equation is proposed.
导出了判断理想转子周期性碰摩运动稳定性的特征方程。
Moreover, the stability of periodic motion is studied and the corresponding characteristic equation is derived.
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。
The roots of the characteristic equation determine the stability of the system and the general nature of the transient response to any input.
将覆盖层单元近似为粘弹性圆柱管，导出轴对称波的特征方程。
Approximating the unit of coating as hollow viscoelastic cylindrical shell, an eigen equation of the axisymmetric waves is derived.
通过分析相应特征方程根的性质，给出系统稳定的一个充分条件。
By studying the properties of roots for the corresponding characteristic equation, the sufficient conditions under which the equation is stable are given.
间接法能够根据板料实际加工状态及时调整特征方程，提高了成形精度。
Indirect method can adjust the characteristic line equation in time based on the status of practical process, thus the forming precision can be improved.
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。
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.
用这个方法修正的刚度矩阵不仅满足特征方程，而且是唯一的对称半正定矩阵。
The stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the unique symmetric positive semidefinite matrix.
本文应用一般型谐振腔的变分方程，推导了平面型谐振腔谐振频率的特征方程。
The variational equation for general resonant cavities is used to derive the characteristic formula for the resonant frequency of the arbitrarily planar reso aators.
这种方法可以获得全结构的精确模态，其代价是要求求解一个非线性特征方程。
This method can obtain the exact eigen-modes and frequencies of whole structure. However the method needs to solve a non-linear eigen equation.
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。
The parameter identification of joining stiffness of rudder hydraulic servo mechanism can be done by using the direct method of characteristic equation anti problem.
然后由变分原理并进行线性化得出了含内埋圆形或椭圆形脱层板的屈曲特征方程。
Then, buckling characteristic equations for laminates with built-in circular or elliptical delaminations are derived by using the variational principle and linearized method.
根据PSD的原理及特征方程，分析了存在背景光时psd输出信号是非线性的。
Following the principle and feature equations of the PSD, it is found that the output signal of PSD is nonlinear when there exists background light.
通过推导单元特征方程的解及应用虚功原理，建立了墙元的刚度矩阵和荷载向量。
Stiffness matrix and load vector were founded on developing eigen-equation for wall element and applying principle of virtual work.
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。
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.
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。
Using the root of the characteristic equation, this paper studies the asymptotic solution of the characteristic equation of the open circular cylindrical thin shells.
采用矢量场法，得到了在弱导条件下传导模式的特征方程和截止频率的近似计算公式。
The eigenvalue equation and approximate formula for cut-off frequencies of guided modes are obtained by vector-field-method.
根据分相模型运用系统控制的方法导出了描述两相流不稳定性的动态系统特征方程序。
By means of separated model and appling system control theory, dynamic system characteristic equations of describing two-phase flow instability are derived.
利用边界条件、区间位移连续性条件和弯矩剪力平衡条件建立了反分析的特征方程序。
The characteristic equations are established by using the boundary conditions, continuous conditions of the displacements and equilibrium conditions of the shearing force and moment in each region.
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。
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.
根据总体稳定性判据，闭环系统稳定，当且仅当所有的特征方程的根有负面真正的部分。
According to the General Stability Criterion, a closed loop system will be stable if and only if all the roots of the characterized equation have negative real parts.
基于特征方程的解，精确地计算出临界载荷参数和动力特征参数的值以及动力失稳模态。
The dynamic buckling modes, the critical load parameter and the dynamic characteristic parameter are calculated accurately on the basis of the solutions of the characteristic equations.
基于特征方程的解，精确地计算出临界载荷参数和动力特征参数的值以及动力失稳模态。
The dynamic buckling modes, the critical load parameter and the dynamic characteristic parameter are calculated accurately on the basis of the solutions of the characteristic equations.
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