Frequency-and-time equation formulation is intended for linear and linear parameter-varying (LPV) systems. It speeds up the simulation using a variable-step solver because the solver step size is no longer limited by the period of the nominal frequency. The frequency-and-time simulation mode is ...
An efficient solver is described for the solution of the electromagnetic fields in both time and frequency domains. The proposed method employs the node-based and the edge-based finite-element method (FEM) to discretize Maxwell's equations. The resultant matrix equation is solved by the spectral ...
where A is the amplitude and ψ a phase offset; the fraction fd/fm is called the modulation index and is equal to the peak phase deviation (in radians) from 2πfct. This equation, by itself, does not clearly indicate how the frequency varies with time. Figure 1.1.2 is a graph of ...
Time-frequency snalysisLangevin equationHarmonic oscillatorPrimary 60H10We derive a simple relationship between the Wigner distribution of the Green's function of the Langevin equation and of the harmonic oscillator. This relationship shows that the Wigner distribution of the Green's function of the ...
The paper highlights the differences between a time domain and a 2nd order frequency domain analysis of spar platforms using Morison's equation. Limitations of the frequency domain approach in representing the nonlinearities in forces and structural properties are shown. Monochromatic, bichromatic, trichro...
Recent studies show that this nonlinear dynamics can be well captured by low-order time domain models that couple a level set kinematic model for a laminar flame, the -equation, with a state-space realization of the linearized acoustic equations. However, so far the -equation has been coupled...
3.1. Matrix equation solvers for large-scale systems A substantial part of the numerical effort in the computations of the second-order frequency- and time-limited balanced truncations goes into the solution of the arising matrix equations (9) and (12). In general it has been shown for the ...
1. Calculate the frequency of a wave with a cycle time of 0.25 s using the frequency formula. And T = 0.25 s given. Substituting in above equation we get, f = 1/0.25 = 4 therefore, the frequency is 4 Hz 2. If the wavelength of the light is 300 nm, then find the frequency ...
Time-frequency and time-scale analysis methods are used to detect solitons, south of Puerto Rico, in the Caribbean Sea. A string of underwater sensors, deployed at particular depths, produced various temperature time series currently being analyzed for soliton detection. Different causes, such as ...
Non linear hydrodynamic loads in the quadratic terms of Morison Equation are reduced by linearization, and usually, solution is obtained faster than in time domain approach. In the present work, main equations for the dynamic behavior of a top tensioned vertical riser (TTR) in terms of motions ...