Sentence examples for formulation previously from inspiring English sources

In this work, the cohesive formulation previously developed by the authors has been updated with a mode-dependent penalty stiffness to ensure accurate and reliable simulation results.

In order to generalize the problem, this work exploits the "energy hub" formulation previously presented in the literature, defining an energy hub as an interface among energy producers, consumers and the transportation infrastructure.

The approach is an extension of the nonlinear normal mode (NNM) formulation previously developed by the authors for free oscillations, wherein an auxiliary system that models the excitation is used to augment the equations of motion.

A correction of the unsteady blade loading formulation, previously developed in a tonal configuration, is also introduced to account for the dispersion relation of annular duct modes in the rectilinear-cascade model.

The semi-empirical formulation previously derived by the authors (Journal of Sound and Vibration200,379 399) for predicting noise spectra of axial flow fans running in a free field is extended to engine cooling fans installed in full-size vehicles.

Rapamycin was used at the concentration and formulation previously shown by the NIA Interventions Testing Program to extend mouse lifespan (Harrison et al., 2009).

The performance of the proposed device is measured using 3 commercially available parenteral formulations previously tested using a validated in vitro model.

In some cases ibuprofen was also incorporated to the formulations previously to the CO2 treatment and studied the appropriate conditions for avoiding its extraction in SCCO2.

On the contrary the pseudo-bivariate approach presented in this work is able to represent the evolution of the soot particle size distribution with good accuracy and affordable computational costs, especially when compared with other multi-variate formulations previously developed.

Careful testing performed for the wall-driven square enclosure flow configuration shows that the consistently derived version of QUICK is more stable and converges faster than any of the formulations previously employed.

A closed form solution for the ultimate tensile resistance of a bolted flange joint is derived considering yield line failure mechanisms developed by Igarashi et al. The position of the prying force is determined based on formulations previously developed by the authors.