We found that for the studied modes, the contributions of Albrecht's B terms in the Raman cross sections were important across the frequency range spanning the La,b and Ba,b electronic excitations in tyrosine and the tyrosinate anion.
By recognizing the commonality in the shear band formation among different loading modes, the contributions of shear band generation and residual stresses to the hardness changes were separated.
Consequently, in order to obtain a numerical solution for the non-linear problem in the neighbourhood of a given mode, the contribution of this mode is chosen and those of other modes are calculated.
The results indicate that when the ratio of the resonant frequencies of the first bending symmetric and anti-symmetric modes is close to two, and the excitation frequency is equal to the resonant frequency of the first symmetric mode, the contribution of the first anti-symmetric mode is significant, even though the curved panel and excitation are symmetrical.
It is seen that both dynamic displacement as well as dynamic acceleration responses are dominated by fundamental mode and the contribution of higher modes can be neglected to approach at the feasible solution for response.
Linear theory is employed to choose modes such that quantified geometric convergence and compression effects contribute significantly to perturbation growth at the lower mode number, while at the higher mode number the contribution from Rayleigh Taylor instability dominates.
To avoid this complexity, at least in the case of tests carried out in laboratory conditions, the simplest approach seems to be able to generate a single cut-on mode by means of a properly constructed system, because to analyse the multi-mode wave, the contribution to the overall field from individual higher order modes must be established in advance.
Nuclear instruments such as alpha/beta contamination meter are frequently used in a compensated mode where the contribution of gamma radiation background is compensated by a guard detector.
Future improved fuel efficiency of the light vehicle fleet means that even without a reduction in the light vehicle mode share, the contribution of the commuting fleet to the region-wide burden of air pollution morbidity and mortality is expected to decline steeply.
To deal with these integrals, we have used either the popular discrete wavenumber method or the Cauchy's residue theorem at the poles that account for surface waves normal modes giving the contributions due to Rayleigh and Love waves.
