Sentence examples for applying the differential from inspiring English sources

A methodology for applying the differential quadrature (DQ) method to the free vibration analysis of arbitrary quadrilateral plates is developed.

By applying the differential evolution (DE) algorithm and IGCMEA to perform an optimization test on the 100-dimensional Schwefel Function, we showed that IGCMEA can achieve an efficient and satisfactory result.

By applying the differential quadrature formulation and the required modified relationships for implementing the different boundary conditions, equations of motion of a circular cylindrical shell are transformed into a set of algebraic equations.

Applying the differential quadrature method to the state space formulations along the axial or circumferential directions of panel, new state equations about state variables at discrete points are obtained.

By applying the differential quadrature formulation and the proposed modified relationships for specified boundary conditions, the free-vibration equations of motion of the curved panel are transformed to a set of algebraic equations.

After the solution of the fundamental system of equations in terms of displacements and rotations, the generalized strains and stress resultants are evaluated by applying the Differential Quadrature rule to the generalized displacements.

When the inertia (J_{t}) greater than two times (J_{s}) is compensated, the WTS applying the differential-based acceleration observation is unstable even if there is no external noise.

It is also validated that when (J_{t}) greater than two times (J_{s}) is compensated, the WTS applying the differential-based acceleration observation is unstable even if there is no external noise, which agrees with the stability condition derived in Section 3.

We applied the differential quadrature method to solving the problem with (N=4,8,12) and various values of α.

Besides, the authors of [20] applied the differential and variational techniques to prove the existence of solutions when the exponent p only depends on the spatial variable.

Joneidi et al. (2009) applied the differential transform method to predict temperature and efficiency of convective straight fins with temperature-dependent thermal conductivity.