Sentence examples for estimated mode shapes from inspiring English sources

The estimated mode shapes of the beam are analysed by the one-dimensional continuous wavelet transform.

Figure 8 Reference and estimated mode shapes.

Table 3 shows the uncertainty of the estimated mode shapes in polar coordinates.

The estimated mode shapes are also accurate enough for mode matching.

By extracting the characteristic information from the estimated mode shape, the estimated mode can be determined to which mode it corresponds.

In this paper, two sets containing mainly swinging against generator groups can be determined by the estimated mode shape.

There is a lack of investigations on under what conditions the estimated mode shape from measurements conveys the information for locating the oscillation source.

The mode matching method proposed for subspace identification method in this paper is based on the estimated mode shape, i.e., the relative magnitude and phasing, of the oscillation throughout the system [30].

However, it was reported that under resonance condition the estimated mode shape from measurements could be quite different compared to the one from model-based eigenanalysis [37] and mode shape information may not help in locating the forced oscillation source [38].

Obviously, the estimated mode shape ( {hat{underline {mathsf{u}}}}_{mathsf{i}1} ) can be determined as follows: {hat{underline {mathsf{u}}}}_{mathsf{i}1}=hat{mathsf{M}}{mathsf{S}}_{delta}^{left(mathsf{i}right)}={{mathbf{mathsf{C}}}^{-1}}_{theta delta}hat{mathsf{M}}{mathsf{S}}_{mathsf{y}}^{left(mathsf{i}right)} (26).

Subspace methods are also developed to estimate mode shapes.