The phrase "analytical model taking" is not correct in written English as it is incomplete and lacks clarity.
It could be used in a context where you are discussing the process of utilizing or implementing an analytical model, but it needs additional information to be meaningful.
Example: "The analytical model taking into account various factors will provide more accurate predictions."
Alternatives: "analytical model utilizing" or "analytical model considering".
An analytical model, taking into consideration the nonlinear constitutive relation of PSB composite, was developed to estimate flexural performances of CFRP reinforced PSB beams.
The relevant crack driving forces are examined through a new analytical model, taking into account the effect of a lug head and the width-to-diameter ratio effect.
The optimization of this latter parameter is investigated in this paper, by means of a simple analytical model, taking into account both the impact of material parameters and device architectures, suggesting possible strategies for Rs minimization.
An analytical model taking into account the bolt torque effect and interfacial stress equilibrium has been developed to predict the strength enhancement effects of washer clamp-up and CFRP reinforcement on the open-hole plates in different failure modes.
Raising the argon content in the billet increases the foaming rates for both creep and superplastic conditions, in general agreement with an analytical model taking into account the non-ideal behavior of high-pressure Ar and the pore size dependence of surface tension.
The experimental results, obtained by varying the infiltration duration, the temperature of the coating heat treatment prior to the infiltration experiment and the argon flow, are interpreted with the help of an analytical model, taking into account diffusive transport in the infiltrated coating, in the bulk liquid and in the flowing gas.
This correction factor, multiplied to the standard fin efficiency defined by the analytical model, takes the edge effect into account within 0.5% when compared to the numerical results.
This purely analytical model takes into account the fringing field effects and is used to track the periodic motions of the sensing parts in resonant microgyroscopes.
The new analytical model takes into account the flank wear effect, complex tool geometry and dynamic heat flux and partition in end milling.
The derived analytical model takes into account the adsorbate molecule size, distribution of binding sites as determined by the crystallographic structure of the sensor surface and multi-site adsorption.
To simulate the overall connection behavior reasonably well, the developed analytical model takes into account joint shear behavior, bond slip of longitudinal beam reinforcement, and effects of various configurations of CFRP sheets.
