Sentence examples for analytical formulation that from inspiring English sources

The model relates the peak wavelength of light scattered by an individual plasmonic nanoparticle to the number of bound analyte molecules and provides an analytical formulation that predicts relevant figures-of-merit of the sensor such as the molecular detection limit (MDL) and dynamic range as a function of nanoparticle geometry and detection system parameters.

A simple analytical formulation that reproduces a skewed, nonlinear near-bed wave orbital velocity is presented.

First, an analytical formulation that estimates the mean crushing force and total energy absorption are obtained for both hexagonal and circular tubes subjected to high dynamic impact loading conditions.

A comparison between experimental and analytical results obtained from existing formulations indicated that the PBL shear capacity with confinement was underestimated when using analytical formulations that do not consider the confinement effects.

The analytical solution is also compared to the formulation that represents the flexible d.o.f. in terms of retained and internal d.o.f. of a Craig Bampton formulation.

A new general formulation that is applicable to the damaged, linear elastic structures 'unified framework' is used to obtain analytical expressions for natural frequencies and mode shapes.

The use of an analytical formulation to determine (i iii) means that the resulting technique incurs low computational overhead and is readily applied to real-time monitoring and subsequent remedial action.

It can be concluded that the presented analytical formulation is not only accurate, but also provides for simple prediction of the free vibration of FG plates.

A comparison of the experimental results, FE and analytical solutions indicates that the general analytical formulation developed in this paper for predicting the peak indenter loads in offset indented pipes, is reasonably accurate.

We propose for the first time a fully analytical formulation of the polarization in ferroelectric materials that takes into account history effects.

Finally, a wide parametric study have been carried out in order to validate the analytical formulation in the most common configurations showing that such formulation predicts the strength of the E-stub with good accuracy.