Sentence examples for and the third modes from inspiring English sources

When the rotational component is considered the effects of the first and the third modes which relate to H θ in Eq. 14a, 14b would appear.

H y is related to the first and the third modes in all three cases in Fig. 10b, but the effect of the third mode increases by increasing the effect of the rotational component.

However, the first and the third modes of model B were not so similar to any of the five modes of model A. This result indicates that the new types of motions emerged once the interactions of Arg with other residues were eliminated.

It is found that the first two modes are the flexural motion and the third mode is the coupled flexural torsional motion.

It is found that when the forcing frequency is very close to the third natural frequency of free vibration, the motion is similar to that for a linear material and the third mode dominates the motion.

T 2 J, KI and T 3 K, JI is the matrix of size I × K J (resp. J × K I and K × J I) obtained by unfolding the array of size I × J × K in the first mode (resp. the second mode and the third mode), and Λ is the R × R diagonal matrix defined as Λ= D i a g{λ1,…, λ R }; see [5] for further details on matrix unfoldings.

By considering the first vibration mode in addition to the two asymmetric vibration modes, quadratic nonlinear terms expressing the interaction between the asymmetric and the first modes appear in the differential equations.

We conducted nodal line optimization for the second and the fifth modes together at the same time, and the results showed that the nodal lines obtained match well with the target nodal lines.

Moreover, the safety operation range is defined as the interval between the natural frequencies for the first and the second modes, and finally, the purpose is to raise the natural frequency for second mode for a given constraint conditions changing the design parameters.

As illustrated in Figure 3, we utilize only the first M2 highest eigenvalues of the first and of the second modes to estimate the model order.

The voltage frequency was 288.0 kHz for the first mode and 576.0 kHz for the third mode, which was twice that of the first mode.