complex frequency

complex frequency

[′käm‚pleks ′frē·kwən·sē]
(engineering)
A complex number used to characterize exponential and damped sinusoidal motion in the same way that an ordinary frequency characterizes simple harmonic motion; designated by the constant s corresponding to a motion whose amplitude is given by Aest, where A is a constant and t is time.
References in periodicals archive ?
Due to the complexity of the test environment, ZTE and China Mobile need to consider the complex frequency solution and the guarantee of the existing network when they complete the 2.6G test, lest that they cause any impact to the users.
where E is the electric field, H is the magnetic field, j[omega] is the complex frequency variable, [mu] is the permeability, [epsilon] is the permittivity, and [sigma] is the electrical conductivity.
To further consider the complex frequency properties, the Hilbert spectrum is applied to retreat the acceleration signal recorded.
An induction motor can thus be run in speed control but it is still an induction motor with load dependent speed variation or "slip." A more complex frequency inverter with a vector-control mode can compensate for this speed variation and can also adjust the motor current according to the load demand.
As for the absolute values of the complex frequency pairs, the critical values and the two regimes of the beam divergence are clearly represented in the figures.
The SSI analysis was performed in frequency domain using a complex frequency response method.
It is vital to calculate undamped vibration frequency and vibration modes before any complex frequency analysis in ABAQUS software.
(ii) Taking an increment of in w and using the values of Re([omega]) and Im([omega]) found above as first approximations, the minimizing procedure finds the complex frequency for [bar.u] = 0.2[pi].
The complex frequency response of such ideal line connected between the source of oscillations with internal impedance [Z.sub.S] = [Z.sub.L] is calculated by the formula
This function represents a relation of function of complex frequency of the rotary angle of the control object [alpha](s) after Laplace transform to a function of complex frequency of the input impact [U.sub.2](s), supplied to the input of the internal servo drive, after Laplace transform.
There exists a complex frequency dependent 2 x 2 matrix, S, the two port scattering matrix, which describes the sound transmission and reflection within a certain two port element.
where s is the complex frequency, [[omega].sub.p] the plasma frequency, and K the number of oscillators with the frequency [[omega].sub.j].