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Adaptive harmonic spectral decomposition [26] has modeled a harmonic structure in a different way.
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The unsteady aerodynamic response of the blades to self-excited vibrations and gust response is modeled using a harmonic balance method, which allows one to model the entire wheel using complex periodic boundary conditions and a computational grid spanning a single sector (symmetry group).
In addition, the wind force was modeled as a harmonic function with an amplitude and excitation frequency similar to those of (Ahmad 2008).
The jth mode can be modeled as a harmonic oscillator with the canonical conjugate pairs (or quadratures) (hat{q}_{j}) and (hat{p}_{j}) satisfying the canonical commutation relation (CCR) (hat{q}_{j}hat{p}_{k}-hat{p}_{k}hat{q}_{j}=i delta _{jk}).
We use the following Hamiltonian to describe DNA molecules, which is modeled as a harmonic oscillator and described by the position and momentum operators q and p, which have a commutation relation [q, p] = i ħ [21], and then H D = ∑ i = 1 n p i 2 2 m i + 1 2 m i ω i 2 q i 2, (2).
In vibration serviceability checks of footbridges, a force induced by a single person walking is usually modelled as a harmonic force having a frequency that matches one of the footbridge natural frequencies.
In order to validate the six-port model, a harmonic balance simulation is performed.
Original research integrates lumped inertia powertrain models for the DCT with a detailed synchroniser mechanism model and two separate engine models, comprising of a mean torque model and a harmonic torque model, using torque derived from piston firing.
The expected shape is a forecast from a combination of a VARMA (vector auto-regressive moving-average) model and a harmonic regression model.
To properly model
It is shown that the modes obtained from this model possess a harmonic character, and that orthogonality between the modes and harmonic excitation can be readily determined.
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