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complex frequency
    Complex Frequency Wave Analysis for Electric Network
    电网络的复频率波分析法
    The Steepness of Pulse Edge Is Analysed by Means of Concept of Complex Frequency Wave
    用复频率波的概念分析脉沿的陡度
    Harmonic Oscillator with Complex Frequency
    复频率谐振子
    Quantum Fluctuations of the Complex Frequency Second Order Circuit
    复频率二阶电路的量子涨落
    Even and Odd Coherent States of a Complex Frequency Harmonic Oscillator and Calculation of Their Quantum Fluctuation
    复频率谐振子的偶奇相干态及其量子涨落计算
    Using RC sine oscillator as an example,this paper shows that the general form of self excitation response in unsteady network is complex frequency wave exp{(σ 1+jω 1)}t.
    本文以RC桥式振荡器为例,说明不稳定网络自激响应的一般形式为复频率波exp{σi+jωi)t}。
    Complex Frequency Method for Identifying Parameters Describing Effective Dynamic Behavior of Composite Materials
    复合材料等效动态性能参数测试识别的复频率
    THE COMPLEX FREQUENCY ANALYSIS OF FREE LONGITUDINAL VIBRATION OF VISCOELASTIC STRAIGHT ROD WITH VARYING CROSS-SECTION BY USING FINITE DIFFERENCE METHOD
    变截面黏弹性直杆纵振时复频率分析的差分解法
    Under the guidance of this idea, an effective way of analyzing the generalized electromagnetic resonance and the EBG local resonance is presented, which is on the basis of the complex frequency theory, at the idea of the circuit and field unification, and in the method of the generalized system function H(s). The key properties of the generalized electromagnetic resonance and EBG electromagnetic local resonance are investigated accordingly.
    本文正是以这一思想为指导,深入研究了广义电磁谐振和电磁局域谐振的关键性质,并在此基础上提出了以复频率理论为基础,以路与场统一为思想,以广义系统函数H(s)为方法,找到一条可以解决广义电磁谐振和电磁局域谐振的有效途径。
    By use of normalized power series method, eigenvalue equations, included massratio, critical flow velocity and viscoelastic characteristics of material, are arrived at. The effect of dimensionless delay time H on real part and imaginary part of dimensionless excited complex frequency ω and critical flow velocity a0 of curved pipes conveying fluid is discussed.
    在此基础上,运用归一化幂级数解法,得到包含质量比、临界流速、粘弹性材料特性的特征方程组,主要讨论了无量纲延滞时间H对复频率实部和虚部以及管道发散临界流速的影响。
    In this paper,steepness of pules edge is defined by means of the concept of complex frequency wave. The Self-excitation response in network composed of tunnel-diode is analysed,The rise time of pules edge is computed by means of concept of steepness
    本文用复频率波的概念定义脉冲边沿的陡度,分析隧道二极管组成的网络的自激响应,并以陡度的概念计算沿的上升时间。
    The modification procedure of this method can be divided intotwo steps, first, the mass, stiffness and damping matrices are modified byusing of the orthogonal and characteristic equations of conplex modal theory,then, based upon the complex frequency sensitivity analysis, the mass, stiffnessand damping matrices are modified again.
    方法的修正过程分两步:首先,利用复模态理论的正交关系和特征关系对结构初始质量、刚度和阻尼矩阵作第一次修正; 其次,利用复频率灵敏度分析对质量、刚度和阻尼矩阵作再次修正。
    This paper deals with the dynamic characteristcs of machine tool structure under general linear viscous damping system. Evaluation formulae for estimating sensitivity of complex frequency, modal damping, natural frequency, complex mode shape as well as dynamic flexibility have been developed. Furthermore, we also develop a method of calculating mode shape sensitivity on which the truncation influence of higher modes has been taken into consideration.
    针对一般线性粘滞阻尼系统,并结合机床结构动态分析,简明地推导了复频率、模态阻尼,固有频率,复振型以及动柔度灵敏度计算式,并提出了计入高阶模态截断影响的振型灵敏度计算方法,编制了微机灵敏度分析通用程序,并在一台平面磨床上进行了结构灵敏度实例分析。
    With the annihilation and creation operators of a harmonic oscillator with complex frequency used to represent the Hamiltonian quantity, not only the time-dependent variation of annihilation and creation operators in Heisenberg representation are available but the Green function of oscillator in Schrodinger representation and coherent-state wave function of the harmonic oscillator with complex frequency in coordinate representation can be obtained.
    利用复频率谐振子的湮灭算符和产生算符表示振子的哈密顿量,给出湮灭算符和产生算符在海森堡表象中随时间变化的规律,得到在薛定谔表象中振子的格林函数,相干态波函数。
    The severe numerical instability in complex frequency modal mass identification from frequency response function makes it difficult to identify physical parameters.
    利用频响函数识别复频率模态质量存在着严重的数值计算不稳定性,给物理参数的识别造成困难。
    Both sine wave and steep pulse edge are special cases of complex frequency wave.
    正弦振荡和脉冲边沿都是自激复频率波的特定情形。
    For the temporal-spatial stability problem, a new iterative method for solving the saddle point of the complex frequency is then proposed.
    其中,对时空稳定性问题本文给出了一种新的迭代法可以快速有效地求出复频率的鞍点。
    In this paper, a complex frequency harmonic oscillator is quantized, the conception of even and odd coherent states (E-O CSs) is generalized to the complex frequency harmonic oscillator.
    本文将复频率谐振子量子化,提出了复频率谐振子的偶奇相干态概念;
    The results are discussed. It is show that the results of usual harmonic oscillator is the special case of the complex frequency harmonic oscillator.
    并对结果进行了讨论.结果表明,通常谐振子的上述结果对应于复频率谐振子的一种特殊情况.
    This paper presents a stable algorithm to obtain the rational approximation from a set of sampled data by the use of bilinear transformation of the complex frequency.
    本文通过复频率的双线性变换提出了获得稳定有理逼近的一个新方法 ,可有效克服这一困难。
 

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