Your English writing platform
Discover LudwigExact(1)
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.
Similar(59)
According to the analysis, as expected each mode has a different sensitivity and the first mode is the most sensitive mode of flexural and axial vibration for the SNOM probe.
The associated period of vibration, applicable to both the SDOF system and the first mode of the MDOF system, is T = 2pi sqrt {frac{{D_{y}^{ast} }}{{S_{d} }}} = 1.72;{text{s}} (17).
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.
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.
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.
(Modified sifting) Take a signal x to be decomposed, and extract the first mode h 1,λ by using a smoothing technique.
For sampling positions see Figs. 2 and 3. (A) The first mode of grain size versus water depth, based on samples retrieved from seafloor type A, showing a decreasing first mode with increasing water depth.
The estimated main and total effect for the first MAC values and the frequency of the first mode are shown in Figs. 17(a) and (b), respectively.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com